What is the equation of the line in slope-intercept form? the line perpendicular to y = x + 2 through (-7, -8)​

Answers

Answer 1

Answer:

[tex]y=-x-15[/tex]

Step-by-step explanation:

Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.

You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.

The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:

[tex]m=-\frac{1}{1} =-1[/tex]

Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").

Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.

[tex]y-(-8)=-1(x-(-7))[/tex]

Simplify this equation.

[tex]y+8=-1(x+7)[/tex]

Distribute -1 inside the parentheses.

[tex]y+8=-x-7[/tex]

Subtract 8 from both sides of the equation.

[tex]y=-x-15[/tex]

This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.


Related Questions

I need help on it pls​

Answers

Answer:

The answer is 15,008 you clicked the right one.

Step-by-step explanation:

Answer: your answer is right

Step-by-step explanation: i did the computation

Determine if both triangles are congruent or not. Label the triangles as SSS, AAS, ASA, SAS, HL, or not enough information.

Answers

△ABD and △BCD are congruent as:

∠CBD = ∠ABD (Equal Angles)

BD = BD (Common side)

The 90 degree angle (Common between both triangles)

Therefore

△ABD ≅ △BCD (By AAS)

Answer:  ASA (angle side angle)

The diagram is not drawn to scale and it appears misleading since AD appears shorter than DC. However, the smaller triangles are congruent and we can prove it using ASA.

The tickmarks on the angles show we have a pair of congruent angles. The other pair of congruent angles are the two right angles (angle BDC and angle ADB). The pair of congruent sides are DB = DB. We use the reflexive property here. The sides are between the congruent angles mentioned. So we'll use ASA and not AAS.

-------------

Extra info:

We can't use SSS because we only have info about one pair of sides. SAS won't be used either for the same reason. HL = hypotenuse leg, and it applies to right triangles only. We don't have any info about the hypotenuse of either triangle, so we can't use this either.

help me pleeeaaasssee​

Answers

Answer:

[tex]a=2\frac{A}{P}[/tex]

Step-by-step explanation:

[tex]A=\frac{1}{2} ap[/tex]

because you want a, divide both sides by p

[tex]\frac{A}{p} =\frac{1}{2} a[/tex]

then, because the reciprocal of 1/2 is 2, multiply both sides by 2

[tex]a=2\frac{A}{P}[/tex]

The school store sells 4 pencils for $0.80. What is the unit cost of a pencil?

Answers

.20 cents per pencil

Which is the completely factored form of 18x4 – 42x3 + 24x2?
3x(3x - 4)(2x - 2)
3x2(3x - 4)(2x - 2)
6x(3x – 4)(x - 1)
6x²(3x - 4)(x - 1)

Answers

Answer:

D

Step-by-step explanation:

The completely factored form is 6x² (3x - 4) (x - 1).

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18[tex]x^4[/tex]– 42x³ + 24x²

Now,

The common factor of 18, 42, and 24 is 6.

And x² is common to all the terms.

So,

6x² (3x²– 7x + 4) _____(1)

Now,

(3x²– 7x + 4)

3x² - (4 + 3)x + 4

3x² - 4x - 3x + 4

x(3x - 4) - 1(3x - 4)

(3x - 4) (x - 1) ______(2)

Now,

From (1) and (2) we get,

6x² (3x - 4) (x - 1)

Thus,

6x² (3x - 4) (x - 1) is the completely factored form.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

The sum of two consecutive integers is
−23.
Find the numbers.

Answers

Answer:

-11 and -12

Step-by-step explanation:

first integer:  x

second integer:  x + 1

x + x + 1 = -23

2x + 1 = -23

2x = -24

x = -12

first integer:  -12

second integer:  -12 + 1 = -11

drag and drop each expression to correctly classify if it as having a positive or negative product just put them in order from positive to negative. WHOEVER GIVES ME THE RIGHT ANSWER I WILL MAKE BRAINLIEST

Answers

Answer:

The two in the middle are the negatives and the two that are on the sides are positive.

I need the answer plzz I need help

Answers

God bless everyone vankka is correct!

Answer:

1) False

2) False

3) True

4) True

Step-by-step explanation: Looked at graph.

Hope this helps!

The horse ran the first mile in 132.78 seconds and the second mile in 157.103 seconds. What is the estimated difference in the times?

Answers

Answer:

I have no clue sorry

Step-by-step explanation:

sorrytroublechevkers

Answer:

the difference is 24.323 seconds, if you round the numbers and then subtract the difference is 24 seconds

HELP!!!
Find the equation of a line parallel to 2x + 2y=6 that contains the point (3,-5), Write the equation in slope-intercept

Answers

Answer:

[tex]y = -x -2[/tex]

Step-by-step explanation:

Slope-Intercept form of the line

Any given line with slope m and y-intercept b can be written as:

y=mx+b

We need to find the equation of a line parallel to

2x + 2y = 6

Dividing by 2:

x + y = 3

Solving for y:

y = -x + 3

Comparing with the slope-intercept form of the line:

m = -1

Parallel lines have the same slope, thus the required line must have a slope m = -1.

Since we have a point through which the line passes, we use the point-slope form:

y - k = m ( x - h )

Where (h,k) is the point.

The required equation of the line is:

y - (-5) = -1 (x - 3)

Operating:

y + 5 = -x + 3

Solving for y:

[tex]\boxed{y = -x -2}[/tex]

which number makes the number sentence true? (6+9)+4=4+?

Answers

Answer

(6+9)+4=4+15

Step-by-step explanation:

First you would do (6+9) because it's in parenthesis. (6+9)= 15. So now our equation looks like 15+4=4+? Next we will do 15+4=19. 19=4+? is the new equation. Now the final step is to do 19-4=15 which is what we will plug into the equation.

Question 1 of 2
15 Points
A report revealed that the average no. of months that an employee stays in a factory is 36
months. Assuming that the no. of months of an employee tenure in the factory is normally
distributed with a standard deviation of 6 months, find the probability that a certain employee
will stay
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months​

Answers

Answer:

Step-by-step explanation:

Given the following :

Mean(m) = 36 months

Standard deviation (s) = 6 months

A) probability of staying more than 30 months :

Zscore = ( x - m) / s

x = 30

Zscore = (30 - 36) / 6

Zscore = - 6/6

= - 1

P(Z > - 1) = 1 - p(Z < - 1) ; p(Z < - 1) = 0.1587

1 - p(Z < - 1) = 1 - 0.1587 = 0.8413

2)less than 24 months :

Zscore = ( x - m) / s

x = 24

Zscore = (24 - 36) / 6

Zscore = - 12/6

= - 2

P(Z < - 2) = 0.0228

3.) between 24 to 48 months

For 24 months : from above = 0.0228

48 months :

Zscore = ( x - m) / s

x = 48

Zscore = (48 - 36) / 6

Zscore = 12/6

= 2

P(Z < 2) = 0.9772 ( from z table)

Hence,

0.9772 - 0.0228 = 0.9544

Easy math problem help me.I will give brainliest

Answers

Answer:

25

Step-by-step explanation:

whoever answers first gets brainliest if i can im desperate?? ​

Answers

Answer:

33/209

Step-by-step explanation:

11*19=209 . 3(11)=33 .  33/209  

Given parameters:

   Length of the rectangle  = [tex]\frac{11}{19}[/tex] mile

   Width of the rectangle  = [tex]\frac{3}{11}[/tex] mile

Unknown:

Area of the rectangle = ?

Solution:

The area of a rectangle is

   Area of rectangle  = length x  width

                                  = [tex]\frac{11}{19}[/tex] x [tex]\frac{3}{11}[/tex]

                                = [tex]\frac{3}{19}[/tex]mile²

Which statement is false
A. Every integer is also a rational number
B. No rational number is irrational
C. Every rational number is also an integer
D. Every irrational number is also real

Answers

Answer:

C

Step-by-step explanation:

The answer is C because a rational number is a number that doesn't go forever, and an integer is a positive or negative whole number. For example, 3.5 is rational but not an integer. So, the correct answer is C, and I hope it helps!

The answer is C. have a nice day ^

the volume of a cube is 125 in cúbicas. How long is each side? ​

Answers

5 in, as 5 x 5 x 5 is 125. volume is lwh.

Select the correct answer. The steps for solving the given equation are shown below. 8-3x=20 Select the correct equation for the missing step in the table.

Answers

Answer:

C

Step-by-step explanation:

Multiplying by the reciprocal is the same as division.

Answer:

its actually (b) addition property of equality

Step-by-step explanation:

i got the answer correct on edmentum

A scientist is weighing each of 30 fish. She obtains a mean of 30 g and a standard deviation of 2 g. After completing the weighing, she finds that the scale was misaligned and always under reported every weight by 2 g that is, a fish that really weighed 26 g was reported to weigh 24 g. What is the mean and standard deviation after correcting for the error in the scale

Answers

Answer:

Correct mean = 32 grams

Correct Standard deviation = observed S.D = 2 grams

Step-by-step explanation:

We are told in the question above :

A scientist is weighing each of 30 fish. She obtains a mean of 30 g and a standard deviation of 2 g. After completing the weighing, she finds that the scale was misaligned and always under reported every weight by 2 g that is

The mean after correcting the error in the scale is :

= observed mean + 2g

= 30g + 2g = 32g

The standard deviation after correcting the error in the scale remains the same as the difference of 2g has no significant effect on the Standard deviation.

This standard deviation = 2g

Is 3/4 a repeating decimal

Answers

Answer:

No.

Step-by-step explanation:

3/4 = 0.75

Answer: non-repeating

Step-by-step explanation:

50 people were asked if they had ever been to Mauritius or the Seychelles on holiday.
11 had been to Mauritius, 7 had been to the Seychelles and 35 had been to neither.
How many had been to both?​

Answers

Answer:

11 + 7 = 18. Meaning to both Islands 15 people have visited so far.

Lanie works part-time at Sweet Treats Catering. She earns $13.25 per hour and work 25 hours a
week. She is paid semi-monthly.
a. Calculate her gross pay for 1 paycheck. Show all your math calculations.

Answers

Answer:

Semi-monthly gross pay = $662.5

Step-by-step explanation:

Given:

Earning per hour = $13.25

Number of hours per week = 25 hours

Find:

Semi-monthly gross pay

Computation:

Assume two week in semi-month

So,

Total working hour = 2(25)

Total working hour = 50 hours

Semi-monthly gross pay = Total working hour × Earning per hour

Semi-monthly gross pay = 50 × 13.25

Semi-monthly gross pay = $662.5

Can the union of two sets have a solution of a null set? Why or why not?

Answers

Answer:

Yes, the union of two sets have a solution of a null set.

Step-by-step explanation:

Help.please i will mark brainliest !!

Answers

Answer:

SAS

Step-by-step explanation:

SAS is the correct answer

Which is greater?
(-3)(3) - 7 ______ 15 ÷ (-5) + 4

<,>,=

Answers

Answer:

15 and the rest it's a big

Which of the following is an equation that involves a variable under a radical sign?

Quadratic Equation
Radical Eqaution
Exponential Equation
Linear Equation

Answers

Radical equation i believe would be the answer.

Please help ASAP ! Find the expressions for the perimeter of these shapes.

Answers

Answer:

Quest 1. P = 3xat2 + 4yat2 + 11xy

Quest 2. P = 7xat2 + 21x + 5y + 5

Step-by-step explanation:

Note: Perimeter, P is the total sum of the distance round about an object. that at symbol cant be used here.so.am.using at2 for squared

what is 2+2x2
ill give brainliest to the person that gets it correct

Answers

Answer:6

Step-by-step explanation:

Answer:

6.............................

Step-by-step explanation:

Find an equation of the vertical line through (-4,3)

Answers

Answer:

x=-4

Step-by-step explanation:

Vertical lines are of the form

x =

The x coordinate is -4

x=-4

What is the quotient (6 x 10^8) ÷ (1.5 x 10-^4)

Answers

Answer:

4x10^4 or 40000

Step-by-step explanation:

Answer:

4x10^4 or 40000

Step-by-step explanation:

1/12
Multiply
(3v – 8)(v +6)
A) 312 – 26V + 48
C) 3v2 + 101 - 48
B) 30v2 - 41 - 48
D) 312 - 48

Answers

Answer:

C

Step-by-step explanation:

Its one only one with 3v2 since you do 3v * v

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