If a line has a slope of -3 and goes through the point (-4, 10), then the equation for the line in slope-intercept form is ______________.


a.)

y = 3x - 26


b.)

y = 3x + 2


c.)

y = -3x - 2


d.)

y = -3x + 26

Answers

Answer 1

Answer:

c.) y = -3x - 2

Explanation:

Given following:

slope (m): -3pass point: (-4, 10)

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\sf y - 10 = -3(x - (-4))[/tex]

[tex]\sf y - 10 = -3(x + 4)[/tex]

[tex]\sf y = -3x -12 + 10[/tex]

[tex]\sf y = -3x -2[/tex]


Related Questions

A triangle has one side length of 2x

2 + 5x + 3. The other two sides of the triangle have lengths x

2 + 2x and
3x − 2. Determine the simplified expression that represents the total perimeter of the triangle.

Answers

The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

How to determine the perimeter?

The side lengths are given as:

2x^2 + 5x + 3, 2 + 2x and 3x - 2

Add these lengths to determine the perimeter (P)

P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2

Collect like terms

P = 2x^2 + 5x + 2x + 3x  + 3 + 2 - 2

Evaluate the like terms

P = 2x^2 + 10x  + 3

Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

Read more about perimeter at:

https://brainly.com/question/6465134

#SPJ1

in each of the following graphs, the two given polygons are similar. write precisely a single dilation (coordinated of center and coefficient) by which the image (labled with primed letters) was obtained.

Answers

The single dilation of the shape is a dilation by a scale factor of 1.5 with center R

How to determine the dilation rule?

From the graph, we have the center of dilation to be point R.

This is so because R = R'

Also, we have:

R = (-1, -4)

S = (2, 0)

S' = (3.5, 2)

Calculate the distance RS and RS' using

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

This gives

[tex]RS = \sqrt{(0 + 4)^2 + (2+ 1)^2} = 5[/tex]

[tex]RS' = \sqrt{(2 + 4)^2 + (3.5+ 1)^2} = 7.5[/tex]

Divide RS' by RS to determine the scale factor (k)

k = 7.5/5

k = 1.5

Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R

Read more about dilation at:

https://brainly.com/question/13176891

#SPJ1

Which choices are equivalent to the expression below? Check all that apply.

√8√8

A. √8
B. 8
C. √√8.8
D. 64
E. √16
F. 64

Answers

I hope this photo will help you.

What is the area of a square with radius 7.5m

Answers

Answer:

48.375

Step-by-step explanation:

Area of square- area of circle

Side^2 - pieR^2

(15)^2 - 3.14*7.5*7.5

225 - 176.625

= 48.375

Hope this helps

The area of the square is 56.25 m².

The area of the square is:

Area = Side²

Area = (7.5 m)²

Area = 56.25 m²

{ Pisces04 }

A bucket is in the shape of a frustum with top diameter 20cm and bottom diameter 12cm. If the height of the bucket is 8cm, calculate the volume of the bucket​

Answers

Answer: V≈1642 cm³.

Step-by-step explanation:

D=20 cm      d=12 cm      h=8 cm       V=?

[tex]R=\frac{D}{2}=\frac{20}{2} =10 \ (cm).\\ r=\frac{d}{2}=\frac{12}{2}=6 \ (cm).\\ \boxed {V=\frac{1}{3} *\pi *h*(R^2+R*r+r^2)} \ \ \ \ \ \Rightarrow\\V=\frac{1}{3}*\pi *8*(10^2+10*6+6^2)\\V=\frac{1}{3}*\pi *8*(100+60+36)\\ V=\frac{8}{3} *\pi *196\\V=\frac{8*196*\pi }{3} \\V\approx1642\ cm^3.[/tex]

help me find the answer plss​

Answers

Answer:

about 8.2 cm

Step-by-step explanation:

The key is to realize that the volume never changes.
The formula for the volume of a sphere is (4/3)*pi*radius^3
22/7 is being substituted in place of pi in this problem
The volume of one of the small spheres is
(4/3)*(22/7)*2^3 is about 33.524 cm^3
64 of those spheres would have a volume of 33.524*64, or about 2145 cm^3
Now, the problem is to find a sphere with a volume of 2145 cm^3
Volume = (4/3)*(22/7)*radius^3
plug in and solve
2145 = 4.1905*r^3
r^3=511.87
r is about equal to 8.2 centimeters

22/11,594 I need a step by step answer

Answers

Answer:

1.89753

Step-by-step explanation:

22/11,594

Multiply the numerator and denominator by 1000 to remove decimal

         [tex]\frac{22}{11.594} * 1000 = \frac{22000}{11594}[/tex]

Using long division

Learn more about Long Division here: https://brainly.com/question/12085148

If AABD
ACBD,
LA = 32° and ZC = 5x - 13
A
C
x =
B
D
[?]

Answers

Answer: 9

Step-by-step explanation:

By CPCTC,

[tex]32=5x-13\\\\45=5x\\ \\ x=9[/tex]

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36. 2x2 – 9x x2 6x – 24 x2 – 2x – 9 –4x2 8x 36

Answers

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

Learn more about Synthetic Division:

https://brainly.com/question/14645972

#SPJ4

Robert, Richard and David were working on a project to redesign coke cans. First, Robert measured the original coke can and found the circumference to be 8.6 inches. Richard measured the height to be 15.2 cm.
David calculated the volume to be 131.3 cm3.
Choose the true statement(s) below.

Select one or more:
a.David's calculations are incorrect, he needed to convert centimeters to inches before finding the radius then use the area of the base times the height .

b.David is correct.

c.David's calculations are incorrect, he used the circumference and the height to find the volume.

Answers

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Volume

Correct calculation:

Height = 15.2 cmCircumference = 8.6 inches

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

Learn more about volume:

https://brainly.com/question/1972490

#SPJ1

help me please U_U......

Answers

Distance traveled = dependent variable

Gasoline left in tank = independent variable

Select all the correct answers.
3x
If the measure of angle is 4, which statements are true?
The measure of the reference angle is 60°.
□ sin(0) = 2
The measure of the reference angle is 45°.
Otan(8) = 1
cos(8) = √2
The measure of the reference angle is 30°.

Answers

If the measure of angle θ is 3π/4, the true statements are:

sin(θ) = √2/2.The measure of the reference angle is 45°.

How to determine the true statements?

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

Read more on terminal point here: brainly.com/question/4256586

#SPJ1

Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

what does I mean in a equation

Answers

Iota, also known as the symbol , is denoted as being the square root of -1. Since square roots of negative numbers do not exist, there is a variable that represents it complexly. In fact, every real number (a) can be represented using the form (a) + (0).

On occasion, variables can also use and it does not have to be talking about the square root of -1. However, this rarely ever happens to avoid confusion. Check instructions in questions to see how is defined.

A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

Answer:

Central Angle (Radians)=

1.0482

Central Angle (Degrees)=

6.0058e+1

Sector Area Equals

0.477

Step-by-step explanation:

Please help me Ill mark you brainlest

Answers

Answer:

Step-by-step explanation:

if p is a prine number greater than 5 and q is an odd number greater than 5 whihc of the following is true

Answers

The first statement p + q is not a prime number is a true option (A) correct.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

First statement:

p + q is not a prime number.

Let p = 7

q = 9

= 7 + 9 = 16 (16 is not a prime)

= 7×9 = 63 (no factor of 63)

p = 7, q = 7

q/p = 7/7 = 1 (1 is integer)

Thus, the first statement p + q is not a prime number is a true option (A) correct.

Learn more about the number here:

brainly.com/question/17429689

#SPJ1

Can someone help with these geometry questions? I gotta have answers fast, it’s urgent:(

Answers

Can't answer 1-6 cause I have no idea what you need

7) A triangle with two congruent sides is isosceles.

8) [tex]\overline{AC}[/tex] and [tex]\overline{BC}[/tex]

9) [tex]\angle C[/tex]

10) [tex]\overline{AB}[/tex]

11) [tex]\angle A, \angle B[/tex]

12) isosceles triangle

How many times could you expect to roll a number that is not 5 if you rolled a standard die 360 times?

Answers

The number of times I would expect to roll a number that is not a 5 is 300 times.

What is the number of times a 5 won't be rolled?

A standard die has 6 faces. There are 5 numbers that are not 5 on a standard die. They are 1, 2, 3, 4, 6.

The number of times a 5 won't be rolled = (5/6) x 360

5 x 60 = 300 times

To learn more about a standard die, please check: https://brainly.com/question/20376457

#SPJ1

By rounding each number to 1 significant figure,
estimate the answers to:
a)763 x 42
_______
82

b)39 × 52
_______
3.8 x 4.9

Answers

Answer:

see explanation

Step-by-step explanation:

rounding each number to 1 significant figure

(a)

763 × 42

≈ 800 × 40

= 32000

(b)

39 × 52

≈ 40 × 50

= 2000

(c)

3.8 × 4.9

≈ 4 × 5

= 20

what postulate is this?
A. SSS (side side side)
B. SAS (side angle side)
C. ASA (angle side angle)
D. AAS (angle angle side)

Answers

Answer:

the answer is c ASA

Step-by-step explanation:

i think I. not sure

Select the correct answer.
Which statement is true about function f, which is shown in the graph?



The graph shows a cubic function. The curve is drawn using the points (minus 1, 8), (minus 1, minus 3.5), (0, 0), (1, 3.5), and (1, minus 8) which intercepts (1, 0), and (minus 1, 0)

A.
Function f is neither even nor odd.
B.
Function f is odd.
C.
Function f is both even and odd.
D.
Function f is even.

Answers

A would be the answer for this

(LOOK AT IMAGE)
The diagram shows a circle with a tangent.
a) What is the size of angle x?
b) Choose the theorem below which allows you to find x. ​

Answers

a) By the alternate segment theorem, [tex]x=53^{\circ}[/tex]

b) Alternate angles are equal

To wire the entire new addition, max and fred have 6 rolls of wire with 9 2/5 feet per roll and 7 rolls of wire with 16 3/4 feet per roll. how many feet of additional wire do they need in order to complete the job if it requires 200 feet of wire? write the result as a mixed number.

Answers

Additional wire of  26 7/20 feet, in the form of a mixed fraction, is required to complete the job.

What is the length of additional wire required, in the form of a mixed fraction?

A mixed fraction is represented by both its quotient and remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Max has total 6*9 2/5feet of wire, that is, 282/5 feet of wire.

Fred has total 7*16 3/4 feet of wire, that is, 469/4 feet of wire.

The total amount of wire required=200 feet

The total amount of wire available=282/5+469/4

                                                         =3473/20

An additional amount of wire is required=200-3473/20

                                                                   =(4000-3473)/20

                                                                   =527/20

Thus, the additional amount of wire required is expressed as a mixed fraction= 26 7/20 of feet.

Learn more about mixed fractions here:

https://brainly.com/question/1746829

#SPJ4

PLEASE HELP!!!
Determine the measure of the angle formed by the line y=3/2x and the positive x-axis.

Answers

Answer:

the angle = ~56.3 degrees

Step-by-step explanation:

1. y=3/2(x) and y=0
2. say x is equal to 4. the length along the x axis is 4. you would plug x=4 into y=3/2x to get the length along the y axis (which would be 6). then you would use these lengths to find the angles value with tan. tan^-1(6/4), so the answer would be ~56.3 degrees

Solve the system of equations:



8x + 3y = 13

3x + 2y = 11

Answers

Answer:

1.x=13/8-3y/8

2.x=11/3-2y/3

Step-by-step explanation:

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that a dilation will produce similar figures? Explain

Answers

The dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

What is dilation?

It should be noted that dilation simply means a transformation to resize an object

In this case, the dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

Learn more about dilation on:

brainly.com/question/3457976

#SPJ1

Answer:

The dilation will produce similar figures because the image and pre image will have congruent corresponding angles.

Step-by-step explanation:

HELP PLSSSSS! 10 points for whoever and good ratings

Answers

Answer:

Hello! The answer is 19.25 m²

Step-by-step explanation:

A = 1/2(4 + 7)3.5

A = 1/2(11)3.5

A = (5.5)3.5

A = 19.25 m²

Answer:

19.25 m²

Step-by-step explanation:

A = (1/2)(b1 + b2)h

A = (1/2)(7 m + 4 m)(3.5 m)

A = 19.25 m²

The population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 20% in 10 years. what will be the population in 20 years? (round your answer to the nearest person.)

Answers

The population in 20 years is 719 people.

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

According to the question

[tex]\frac{dP}{dt} = kP[/tex]   where P is population at any time

solving equation,

[tex]\int[/tex][tex]\frac{dP}{dt} =\\[/tex] [tex]\int kP[/tex]

[tex]lnP=kt+C[/tex]                                 -(1)

Applying the conditions,

at t=0, P = 500

[tex]ln500=C[/tex]                                      -(2)

at t=10, P= 600

putting it in equation gives

[tex]ln(600) = k(10)+ln(500)[/tex]

ln(6/5) = k(10)

[tex]k = \frac{ln(6/5)}{10}[/tex]

at t=20 , P= ?

[tex]lnP=(\frac{ln(6/5)}{10})20 + ln500[/tex]

[tex]lnP=({ln(6/5)}{2 + ln500[/tex]

On putting the values of ln(6/5) , ln(500)

[tex]lnP=0.182(2) + 6.214[/tex]

[tex]P = e^{6.578}[/tex]

P = 719.099

On rounding off

P ≈ 719 people

Thus the population in 20 years is 719 people.

Learn more about differential equations here :

https://brainly.com/question/1584190

#SPJ4

Select the correct answer. The steps for solving the given equation are shown below. -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table. addition property of equality division property of equality multiplication property of equality subtraction property of equality Select the correct answer . The steps for solving the given equation are shown below . -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table . addition property of equality division property of equality multiplication property of equality subtraction property of equality​

Answers

The property for the missing justification is: A. addition property of equality.

What is the Addition Property of Equality?

If b - a = c, based on the addition property of equality, we can isolate b by adding a to both sides, i.e. b - a + a = c + a, to give us b = c + a.

Using the addition property of equality, 7 was added to both sides of the equation as shown in step 3.

Therefore, the missing justification is: A. addition property of equality.

Learn more about the addition property of equality on:

https://brainly.com/question/1542520

#SPJ1

ion 9
ret
ered
ed out of
g
ion
Given circle A with radius 15, find the length of arc FD. Give your answer rounded to the nearest hundredth.
Answer:
20°
156°
46°
my
E
D
B

Answers

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

What is an equation?

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

The length of an arc is given by:

arc length = (Ф/360) * 2π*radius

Let us assume that the angle is 120°

arc FD = (135/360) * 2π(15) = 10π

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Other Questions
Apple operates a blog called Apple Newsroom, where you can read news, find updates and see videos on Apple products. The information is both engaging and educational. Apple Newsroom is an example of a guess the places ??? Did you enroll at the school subsequent to the enrollment that is the subject of this. Factor by Grouping. 25x^2-20x-12 Suppose a 65.5 kg gymnast climbs a rope. What is the tension in the rope if she climbs at a constant speed The root rafter of a house has been raised to a height of 18 yards at the ridge. Half of the length of the run measures 14 yards. Find the length of the rafter. Psychologist Mark Seery and his colleagues studied the link between _____, or the total amount of negative events experienced in a lifetime, and health outcomes. Please choose the correct answer from the following choices, and then select the submit answer button. daily hassles traumatic events cumulative adversity stress This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about thecandy bar. If AD = 2.5 cm, what is the smallest diameter of wrapper that will fit the candy bar? Solve the quadratic equation by using the quadratic formula. If the solutions are not real, enter NA.2x27x+1=0 Enter the exact answers.The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x1 ). The order of the list does not matter.Enclose numerators and denominators in parentheses. Remember that (ab)/1+n is not the same as (ab)/(1+n) . A high school baseball player has a 0.229 batting average. in one game, he gets 5 at bat. what is the probability he will get at least 2 hits in the game? round your answer to four places. What is the value of g(f(x)) when x=-2 if f(x)=x3 Can someone help.Triangle not drawn to scaleGiven: m = 53, a = 18, and c = 14. Find me to thenearest whole number. What is addition and subtraction A number line goes from negative 5 to positive 5. Point D is at negative 4 and point E is at positive 5. A line is drawn from point D to point E.What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio?Negative one-eleventhOne-eleventhTwo-fifteenthsFifteen-halves A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. Itis determined that the height of the frog as a function of time can by modeledby h (t) = -16t +64t + 3. How many seconds will it take for the frog toland on the ground? Which characteristic is most associated with egalitarian societies?O Women perform a lot of the domestic labor.Women have responsibility for child care.Women have access to education.O Work is highly segregated by sex. 3. Which graph represents the solution to 13k-21> 7? factor equation step by step. Select the correct text in the passage.Which text from the last paragraph of the passage connects to an idea presented in the first paragraph?[8] You may be at ease with pine or hardwood, or find shade under the domesticated trees in your city park, but in the highdesert. Joshua is our tree. It is an important part of the Mojave Desert ecosystem, providing habitat for numerous birds,mammals, insects, and lizards. Joshua tree forests tell a story of survival, resilience, and beauty borne throughperseverance. They are the silhouette that reminds those of us who live here that we are home. Like the Lorax, we speakfor the trees, but often the trees speak to us. When an identified risk is not mitigated by an existing control this is known as.