How do I do the question

Write an equation in slope-intercept form for the line that satisfies the following condition.

skelet666 [1.2K]

Answer:

The equation of the line we want to write is 4y = -x + 22

Step-by-step explanation:

Here, we want to write the equation of a line

.

The standard equation of a straight line is given as:

y = mx + c

where m is the slope and c represents the y-intercept

Now, let’s look at the line y = 4x + 16

The slope of this line is 4

Now, the equation of the line we want to write is perpendicular to this line

When two lines are perpendicular, the product of their slopes = -1

Hence;

m * 4 = -1

m = -1/4

So the slope of the line we want to write is -1/4

Now, using the point-slope form for the new equation;

y-y1/x-x1 = m

From the point given (x1,y1) = (10,3)

Thus;

y-3/x-10 = -1/4

4(y-3) = -1(x - 10)

4y - 12 = -x + 10

4y = - x + 10 + 12

4y = -x + 22

4 0

3 years ago

Jane and Nancy were both awarded National Merit Scholarships (for academic excellence), and both love mathematics. Jane breezed

Scorpion4ik [409]

Answer:

c. Inductive and Strong

Step-by-step explanation:

In inductive reasoning, provided data is analyzed in order to reach a conclusion. In this case, the argument provides data regarding Jane and Nancy's awards and their love for mathematics and then draws a conclusion regarding Nancy's performance in a particular class, this is an example of inductive reasoning.

As for the strength of the argument, it is plausible to infer that Jane and Nancy have similar mathematics skills since they both love calculus and excel academically. Therefore, if Jane does well in the calculus class, it is a strong argument to say that Nancy does as well.

The answer is :

c. Inductive and Strong

8 0

3 years ago

Rebecca buy some scarves that cost five dollars each and two purses that cost 12 each The cost Rebecca’s total purchase is $39 w

Fittoniya [83]

Answer:

d.

Step-by-step explanation:

First, you want to add together the amount of money she spent on purses ($24), and then consider the amount of scarves (5+n). To solve, you would subtract 24 from 39, and then divide that answer by 5

4 0

3 years ago

Find the value of x in each of the following<br>a) 5x/2+ 1 = 11<br>b) 2x/7 – 3 = 2

laila [671]

Answer:

A) x=4

B) x=35/2

Step-by-step explanation:

calculate the product

A) 5x/2+1=11

multiply both sides of the equation by 2

5x+2=22

move the constant to the right hand side and change its sign

5x+22-2

now subtract the numbers

5x=20

now didvide both sides

5x=20

x=4

B)

calculate the product

2x/7-3=2

multiply both sides of the equation by 7

2x-21=14

move the constant to the right hand side and change its sign

2x=14+21

add the numbers

2x=35

now divide both sides of the equation by 2

x=35/2

8 0

3 years ago

What is 900cm/h = cm/min? ( with an explanation not just the answer)

vladimir2022 [97]

I hope that helped :)

6 0

3 years ago