choose the equation below that represents the line passing through the point (-2,-3) with a slope of -6

Answers

Answer 1

The equation of the line is: y + 3 = -6(x + 2) [point-slope form] or y = -6x - 15 [slope-intercept form].

How to Write the Equation of a Line?

Given a point (-2, -3) and a slope (m) of -6, you can write the equation of the line in point-slope form by substituting (a, b) = (-2, -3) and m = -6 into y - b = m(x - a):

y - (-3) = -6(x - (-2))

y + 3 = -6(x + 2) [point-slope form]

Rewrite in slope-intercept form as:

y + 3 = -6(x + 2)

y + 3 = -6x - 12

y = -6x - 12 - 3

y = -6x - 15 [slope-intercept form]

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Related Questions

The square shown has a perimeter of 32 units. The square is rotated about line k. what is the circumfrence of the base

Answers

The circumference equal to 25 units

What is perimeter of square?

The perimeter of square is 4 times the side.

P= 4* side

The perimeter of the square,

4x = P

Now P is =  32 units then,

32 units = 4(x)

x = 8 inches

So,  the diameter of the cylinder formed by the rotation of 8 inches  

Now, the circumference of the base is

C = 2πr = πD

If r =8  inches

                           

C = π(8 units) = 8π units

C = 8(3.14) = 25.12 units

Hence, the circumference equal to 25 units

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What are the medians for the height and weight distribution, respectively?

Answers

The median for height is: 167

The median for Weight is: 183

What is the Median of a Data Set?

The middle value or the average of the two middle value of an ordered data set is the median of the data.

Given the following data:

Height: 178, 163, 174, 186, 154, 167, 167, 181, 159, 165, 177, 191, 158

Arranged in an ordered form, we would have:

54, 158, 159, 163, 165, 167, [167,] 174, 177, 178, 181, 186, 191

The middle value is 167. The median for height is: 167.

Weight: 157, 163, 190, 187, 183, 173, 184, 189, 193, 192, 177, 173, 168

Arranged in an ordered form, we would have:

157, 163, 168, 173, 173, 177, [183,] 184, 187, 189, 190, 192, 193

The middle value is 183. The median for weight is: 183.

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2. What is the radius of a circle (rounded to the nearest tenth) that has a circumference of 87 cm?
O 10.5
27.7
13.8
5.3

Answers

3.

A = pi x r^2

48 = 3.141... x r^2

÷ by value of pi

15.278... = r^2

Square root the ans, to get r

Thus, R = 3.908..... So, radius is 3.9

2.

Circumference = pi x diameter

87. = 3.141... x d

÷ by value of pi

27.692............. = diameter

Radius is twice the diameter. So, divide diameter by 2 to find the radius.

27.692.....÷ 2 = 13.846...

Thus, radius is 13.8cm

Hope this helps!

PLEASE ANSWER ,in terms of the trigonometric ratios for BCD,what is the lenght of BD? insert text on the triangle in geogebrea to show the lenght of BD. take a screenshot of the triangle with the text,save it,and insert the image in the space below​

Answers

By applying the law of sine, the length of side BD is equal to 9.05 cm and the image of right-angled triangle BCD is shown in the image attached below.

How to calculate the length of BD?

In order to determine the length of side BD, we would apply the law of sine because both side BD and side BC represent the opposite side and hypotenuse of right-angled triangle BCD respectively.

Mathematically, the law of sine is given by this mathematical expression:

sin(θ) = Opp/Hyp

Where:

Opp is the opposite side of a right-angled triangle.Hyp is the hypotenuse of a right-angled triangle.θ is the angle.

Substituting the parameters into the formula, we have;

sin(θ) = BD/BC

sin(74) = BD/9.41

Cross-multiplying, we have:

BD = 9.41 × sin(74)

BD = 9.41 × 0.9613

BD = 9.05 cm.

By applying the law of sine, the length of side BD is equal to 9.05 cm and the image of right-angled triangle BCD is shown in the image attached below.

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Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwise indicated. ?C(lnx+y)dx−x2dy where C is the rectangle with vertices (1, 1), (3, 1), (1, 4), and (3, 4)​

Answers

By Green's theorem,

[tex]\displaystyle \int_C P(x,y)\,dx + Q(x,y)\,dy = \iint_D \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} \, dA[/tex]

where [tex]D[/tex] is the interior of [tex]C[/tex]. It's easy to see that

[tex]D = \left\{(x,y) ~:~ 1 \le x \le 3 \text{ and } 1 \le y \le 4\right\}[/tex]

Now,

[tex]\dfrac{\partial Q}{\partial x} = \dfrac{\partial}{\partial x}(-x^2) = -2x[/tex]

[tex]\dfrac{\partial P}{\partial y} = \dfrac{\partial}{\partial y}(\ln(x) + y) = 1[/tex]

so that the line integral reduces to

[tex]\displaystyle \int_C (\ln(x)+y)\,dx - x^2\,dy = -\int_1^3 \int_1^4 (2x+1) \, dy\,dx = \boxed{-30}[/tex]

8 of 8
A vase with a circular base exerts a force of 15 N on a table with a pressure of 750 N/m2.
Find the radius of the base of the vase in cm to 2 dp.

Answers

The radius of the circular vase is 6.37 * 10^-3 m.

What is pressure?

The term pressure is defined as the ratio of force to area. Hence we can write;

P = F/A

F =  15 N

P = 750 N/m2

A = F/P

A = 15 N/750 N/m2

A = 0.02 m^2

Now;

A = πr^2

r = √A/ π

r = √ 0.02/3.142

r = 6.37 * 10^-3 m

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Solve x 6x+2=2x-1 give your answer as a fraction in its simplest form

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{6x + 2 = 2x - 1}[/tex]

[tex]\huge\textbf{SUBTRACT 2x to BOTH SIDES:}[/tex]

[tex]\mathbf{6x + 2 - 2x = 2x - 1 - 2x}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{4x + 2 = -1}[/tex]

[tex]\huge\textbf{SUBTRACT 2 to BOTH SIDES:}[/tex]

[tex]\mathbf{4x + 2 - 2 = -1 - 2}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{4x = -3}[/tex]

[tex]\huge\textbf{DIVIDE 4 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{4x}{4} = \dfrac{-3}{4}}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{x = \dfrac{-3}{4}}[/tex]

[tex]\mathbf{x = -\dfrac{3}{4}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = -\dfrac{3}{4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assigiment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A
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Lennox had been scheduling employees based on the assumption that the
following distribution represented when people made purchases in his store.
Time slot
Predicted
percentage
8 a.m.-12 p.m.
25%
12-4 p.m.
40%
4-8 p.m. 8-12 a.m.
25%
10%
He took a random sample of 300 purchases and recorded their time slot so he
could test whether this was an accurate distribution. Here are his results:
Time slot 8 a.m.-12 p.m. 12-4 p.m. 4-8 p.m.
Purchases
75
120
90
Choose 1 answer:
8-12 a.m.
15
He wants to use these results to carry out a x² goodness-of-fit test to determine
if the distribution of time slots of the purchases disagrees with his assumed
distribution.
What are the values of the test statistic and P-value for Lennox's test?

Answers

The test value and the p value for the probability are 10.5 and 0.0148.

How to illustrate the probability?

Based on the information, the observed and expected values will be:

Observed. Expected

75. 75

100. 120

90. 75

15. 30

The p value based on the test statistic from the distribution table will be 0.0148.

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1. A(–6 , 2) , B(4 ,7) are endpoints of a line segment.
(2) a) Calculate the length of AB.

(2) b) Calculate the slope of AB.

(2) c) Calculate the coordinates of the midpoint of AB.

(2) 2. Determine the radius of the circle .

State the answer as an exact number, and as a decimal rounded to 1 decimal place.

(2) 3 Write the equation of a circle with centre (0, 0) that passes through the point (5, –3)

Answers

The length of the line AB as described by points A and B in the task content is; √125.

What is the length of the line?

a) The length of AB as described is;

AB = √((7-2)² + (4-(-6))²)

AB = √(25 + 100) = √125.

b) The slope of AB is;

Slope, m = (7-2)/(4-(-6)) = 5/10

Slope = 1/2.

c). The coordinates of the midpoint of AB are;

x = (4+(-6))/2 = -1

y = (7+2)/2 = 4.5

The midpoint is; (-1, 4.5).

2) The radius of the circle as described with centre (0, 0) that passes through the point (5, –3) is;

Radius = √((5-0)² + (-3-0)²)

Radius = √(25+9) = √34 = 5.8

3) Hence, the equation of a circle with centre (0, 0) that passes through the point (5, –3) is;

(x-5)² + (x-3)² = 5.8².

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DUE IN 3MINUTes
There is a strong positive linear correlation between rainfall and the number
of peaches a tree produces. Does this mean that more rainfall causes peach
trees to produce more fruit?
A. No. Any number of factors could also be affecting the number of
peaches produced.
B. No. Since rainfall and number of peaches are linearly correlated,
this means that more rainfall causes peach trees to produce less
fruit.
C. Yes. Since rainfall and number of peaches are positively
correlated, this means that more rainfall causes peach trees to
produce more fruit.
D. Yes. Since rainfall and number of peaches are linearly correlated,
this means that more rainfall causes peach trees to produce more
fruit.

Answers

Answer:

  A. No.

Step-by-step explanation:

The job of science is to explain relationships in the real world. Scientists do this by making observations, forming theories regarding relationships, and conducting experiments to test those theories.

An observation of correlation may result in a theory that one of the correlated phenomena causes another. The correlation, by itself, does not demonstrate causation. Any number of other factors could be involved.

Use the table to work out the values of a, b,
C, and d.
X
-3
-2
-1
0
1
2
3
y = 5x

a
3x² + 3
- 19
-5
3
b
C
d

Answers

So to find the value of -3 do the following process:

Insert the -3 in the x’s in the equation on the top of the table

y= 5x -3x to the second power + 3

y= 5 (-3) -3(-3) to the second power + 3

Then continue to simplify the equation

y= -15 + 9 to the second power + 3

y= -15 + 84

y = 69

Y= 69 for the chart for -3

For b, c, and d insert the number in the x values and simplify like the previous equation.

If you are confused, feel free to ask questions. I hope this is effective and helps you in your studies.

A rectangle has length of 10 mm. • and breadth 7mm calculate its perimeter YW​

Answers

Answer:

34 mm

Step-by-step explanation:

P = 2 x (L + B) for a rectangle

P = 2 x (10 + 7) = 2 x 17 = 34

Based only on the information given in the diagram which congruence theorems or postulate could be given as reasons why LMN and OPQ

Answers

The  congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.

What is congruence theorems?

Congruence theorems is one that explain that in a case whereby  three sides of two triangles are equal to another, we can say they are congruent to each other.

From the given figure, there are two angles as well as one non-included side which is seen to be a  congruent.

According to LA theorem , a triangle is congruent in a case whereby,  leg as well as  an acute angle of one right triangle of two right triangles are congruent to each other.

AAS theorem also explains that incase  two angles and any of the side of a triangle are congruent to each other , the triangles are congruent.

Therefore, with these theorem, congruence theorems or postulates could be given as reasons why LMN is congruent to OPQ are LA and AAS.

CHECK THE FIQURE FOR THE COMNPLETE QUESTION

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How many different strings can be made by shuffling the letters in DISCRETEMATHS?

Answers

Answer:

I found 14 but their might be more!
hope that helps! :)

Step-by-step explanation:

About 145 out of 500 students prefer walking instead of
riding the bus to school. About what percent of the
students prefer walking?
30%
50%
70%
145%

Answers

Answer:

30%

Step-by-step explanation:

[tex]\frac{145}{500} = 0.29[/tex] ≅ 0.30 or 30%

Use
f(x) = 2x − 3
and
g(x) = 4 − x2
to evaluate the expression.

Answers

The equation based on the information given will be x⁴ + 8x² - 12.

How to compute the value?

It should be noted that from the information given, the expression to compute will be:

= g - g(x)²

This will be:

= 4 - (4 - x²)²

= 4 - (4 - x)(4 - x)

= 4 - (15 - 8x² + x⁴)

= x⁴ + 8x² - 12

The complete question is:

Use f(x) = 2x − 3 and g(x) = 4 − x² to evaluate the expression g - g(x)².

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During the first year of life, a whale gains about 30 tons of weight what is the average weight gain per month?

Answers

Answer is 2.5 tons per month
Step by step
We know 30 tons gained over 12 months
(1 year)
Divide total weight by 12 months to get average weight gain per month
30/12 = 2.5 tons per month

The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?

Answers

Answer:

[tex]k=2[/tex]

Step-by-step explanation:

The constant of proportionality is given as  [tex]k=\frac{y}{x}[/tex] .

Notice that when [tex]x=2[/tex] it follows that [tex]y=4[/tex].

Substitute [tex]x=2[/tex] and [tex]y=4[/tex] into the formula for the constant:

[tex]k=\frac{4}{2}=2[/tex] .

Therefore, the constant is equal to 2.

The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributed with population mean of 320 and population standard deviation of 20 inches.

For a randomly chosen Monday, what is the probability there will be less than 340 column inches of classified advertisement?

Answers

For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.

What is Normal Distribution?

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributed with a population mean of 320 and a population standard deviation of 20 inches.

[tex]P(X < 340) = P(z < \dfrac{(340-320)}{20})[/tex]

                    =  P(z < 1)

                    = 0.8413

Hence, For a randomly chosen Monday, the probability there will be less than 340 column inches of classified advertisement is 0.8413.

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calculate the value of the sample variance of 13,−2,−2,−2,13,13,−5

Answers

Answer:

13, -2

Step-by-step explanation:

5. The function h(t) = 1 + 4t - 1.86t? models the height of a rock thrown upward on the planet Mars, where h(t) is height in meters and t is time in seconds. Use a graph to determine:

a. the maximum height the rock reaches
b. how long the rock will be above the surface

Answers

The maximum height the rock reaches 3.15 feet and the rock will be above the surface for 2.6 seconds

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

From the graph of the function h(t) = 1 + 4t - 1.86t²:

The maximum height the rock reaches 3.15 feet.

Time spent on air = 2.38 - (-0) = 2.38 seconds

The maximum height the rock reaches 3.15 feet and the rock will be above the surface for 2.6 seconds

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Helppppppp pleaseeeee

Answers

Answer:

is it asking how many times u would get then number 5 when u roll or asking how you would expect for the first 5 rolls?


1000 mL of D5W is infusing at 20 gtt/min (20 macrogtt/min). Drop factor: 10 gtt/m L.
How long will it take for the IV to infuse? (Express time in hours and minutes

Answers

It would take about  8 hours 20 minutes for the 1000 mL of D5W to infuse completely.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the drop factor is 10 gtt/mL, hence:

Infuse rate = 20 gtt/min ÷ 10 gtt/mL = 2 mL/min

Time taken = 1000 mL / 2 mL per min = 500 min = 8 hours, 20 minutes.

It would take about  8 hours 20 minutes for the 1000 mL of D5W to infuse completely.

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Answer:

Step-by-step explanation:

900mL of RL is infusing at 80 gtt/min (80 macrodrops/min). Drop factor: 15 gtt/mL

A rectangular prism with a base that is
5 inches by 4 inches and a height of 15 inches.

Answers

The surface area and the volume of the rectangular prism are 310 in² and 300 in³, respectively.

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

V =  a × b × c unit³

The surface area of the prism = 2[(5×4)+(15×4)+(15×5)]

                                                  = 310 inches²

The volume of the prism = 5 × 4 × 15

                                         = 300 in³

Hence, the surface area and the volume of the rectangular prism are 310 in² and 300 in³, respectively.


The complete question is:

A rectangular prism with a base that is 5 inches by 4 inches and a height of 15 inches. Find the volume and the surface area of the rectangular prism?

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In AUVW, m/U = (9x - 8)°, m/V = (2x + 2)°, and m/W = (3x + 4)º.
Find m/V.

Answers

Answer:

m∠V = 28°

Step-by-step explanation:

In ΔUVW:

m∠U = (9x - 8)°m∠V = (2x + 2)°m∠W = (3x + 4)°

To find the measure of angle V, first find the value of x.

Interior angles of a triangle sum to 180°.

⇒ m∠U + m∠V + m∠W = 180°

⇒ (9x - 8) + (2x + 2) + (3x + 4) = 180

⇒ 9x + 2x + 3x - 8 + 2 + 4 = 180

⇒ 14x - 2 = 180

⇒ 14x = 182

⇒ x = 13

Substitute the found value of x into the expression for angle V:

⇒ m∠V = 2(13) + 2

⇒ m∠V = 26 + 2

⇒ m∠V = 28°

Therefore, the measure of angle V is 28°.

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What is the ratio of 12 blue marbles and 20 red marbles

Answers

Answer:

12:20

Step-by-step explanation:

i hope the answer will help you

The function f(x) is graphed. It represents a translation of the square root function g(x) = .



What equation represents the graph of f(x)?

f(x) =
f(x) =
f(x) = – 1
f(x) = + 1

Answers

The equation that represents the graph of f(x) is [tex]f(x) = \sqrt {x - 1[/tex]

How to determine the equation of f(x)?

The complete question is in the attached image

The parent square root function is:

[tex]g(x) = \sqrt x[/tex]

From the graph,

g(x) is shifted one unit right to get f(x)

This is represented as:

f(x) = g(x - 1)

So, we have:

[tex]f(x) = \sqrt {x - 1[/tex]

Hence, the equation that represents the graph of f(x) is [tex]f(x) = \sqrt {x - 1[/tex]

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What is the domain indicated on the graph for each
portion of the piecewise function?
-2,
2x + 1,
--—-x,
f(x)=
Domain 1st piece
Domain 2nd piece
Domain 3rd piece

Answers

Step-by-step explanation:

try this option, all the details are in the attachment.

The table below shows the number of correct answers that students gave on a recent 5-question quiz. Which of the following statements is true? Number Correct 1 2 3 4 5 3 46 9 8 Frequency​

Answers

The true statement about the number of correct answers is that the: A. median = mode.

How to calculate the mean?

Mathematically, the mean for the number of correct answers can be calculated by using the following formula:

Mean = [F(x)]/n

Total frequency, n = 3 + 4 + 6 + 9 + 8 = 30.

F(x) = [(1 × 3) + (2 × 4) + (3 × 6) + (4 × 9) + (5 × 8)] = 105.

Mean = 105/30

Mean = 3.5.

For the median, we have:

The median for the number of correct answers is the average of the 15th and 16th number:

Median = (4 + 4)/2

Median = 8/2

Median = 4.

For the mode, we have:

The mode for the number of correct answers is the answer with the highest frequency, which is 4 with a frequency of 9.

Therefore, the true statement about the number of correct answers is that the median is equal to mode.

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Complete Question:

The table below shows the number of correct answers that students gave on a recent -question quiz. Which of the following statements is true?

A. median = mode

B. mode > median

C. mode < mean

D. mean > median Reset Selection

Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minutes, club A sold 3 t-shirts and 2 notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8. Use the given matrix equation to solve for the cost of t-shirts and notebooks that were sold. Explain the steps that you took to solve this problem.

A matrix with 2 rows and 2 columns, where row 1 is 3 and 2 and row 2 is 1 and 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 19 and row 2 is 8.

Answers

Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

Variable x: Cost of a t-shirt.Variable y: Cost of a notebook.

Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:

3x + 2y = 19.x + y = 8 -> y = (8 - x).

Hence, replacing the second equation into the first:

3x + 2(8 - x) = 19

x = 3.

y = 8 - x = 8 - 3 = 5.

The cost of a t-shirt is of $3 and the cost of a notebook is of $5.

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Q. Pakistan will export agriculture products while Japan will export Cars. Using hypothetical numbers discuss graphically the gains from trade for both countries. Triangle QRS is to be dilated using the rule D Subscript P, three-fourths. Point P is the center of dilation. Triangle Q R S is shown. The length of P S is 8.What will be the distance from the center of dilation, P, to the image S'?2 units4 units6 units8 units How is the atmospheric oxygen that is taken in by living things for respiration replaced? The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 8.9 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)(a) less than 10 minutes(b) longer than 5 minutes(c) between 8 and 15 minutes You see the message "secret formula" on an online advertisement for a weight-reduction product. How should you interpret such a message? Which expression is equivalent to the difference shown? 5x+1/5x - 4x+1/4x If xm/x5=x7 and (x)=x2, then the value of m-r= A. 3 B. 4 C. 8 D. 12 If xm / x5 = x7 and ( x ) = x2 , then the value of m - r = A. 3 B. 4 C. 8 D. 12 ______ are material items or products that customers will buy to satisfy a want or need. Multiple choice question. Outputs Goods Service Inputs david decided to modulate his blood glucose level by increasing fiberintake. what will be the least effective food At the start of Act I, scene iii, of Macbeth the witches reappear, talking about how they'll deal with a sailor whose wife has annoyed one of them. What do they plan to do to this sailor? And why do you think Shakespeare opens this scene with information that seems so unrelated to Macbeth and the matters at hand? calculate the mass in grams of the sample Consider the relationship 3r+8t=3 Solve to find x and y in the diagram.The figure shows two parallel lines and a transversal. The intersection of the first line and the transversal forms four angles, the top right angle is labeled as a right angle, the bottom right angle measures 6 times x plus 5 times y degrees. The intersection of the second line and the transversal forms four angles, the bottom right angle measures 10 times y degrees. according to the declaration of independence when a government works against the people what are the people allowed to do A square has a perimeter of 12x+25 units. Which expression represents the side length of a square and units What were the primary difference between conservative and liberal oppositions to the new deal? A deck has side lengths 16 feet, 18 feet, 16 feet, 8 feet, and 12 feet.The dimensions of a proposed deck are written on the floor plan. What is the area of the proposed deck? Round to the nearest square foot.317 square feet413 square feet437 square feet513 square feet What is a meeting in which an independent team of experts provides an in-depth analysis of project results to ensure that team members did the work accurately, completely, and to the right quality standard Simplify and state any restrictions on the variable. Remember the order of operations. Show all your work for fullmarks! The difference between a healthcare provider's stated charge and the payment agreed to with a third-party payer (such as an insurance company) is called: