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3 years ago

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Umm so I have this homework I'm working on and it's telling me to solve the equations but I'm not good at this type of stuff. It

's solving two step equations

1 answer:

s2008m [1.1K]3 years ago

7 0

Are you going to put the problems so people can help you

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The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

Mel Company has a net income, before taxes, of $95,000. The treasurer of the company estimates 45% of net income will have to be

docker41 [41]

95,000 x .45=$42,750 for both federal and state tax..
☺☺☺☺

6 0

3 years ago

Read 2 more answers

Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!

Andrei [34K]

Answer:

$P(\text{Male}|\text{Divorced})\approx0.092$

Step-by-step explanation:

$\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092$

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is $\frac{9.6}{104.5}\approx0.092$ , the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.

7 0

2 years ago

What is the volume of a sphere with a diameter of 9 in.?

a_sh-v [17]

Answer: 121.5 in³

Explanation:

$\textnormal{Volume }= \cfrac{4}{3} \pi (4.5)^3 = 121.5 \pi \ in^3$

6 0

3 years ago

Read 2 more answers

What is the slope of a line perpendicular to the line whose equation is

mezya [45]

Answer:

The slope of the other line is -4/5

Step-by-step explanation:

In this question, we are asked to calculate the slope of a line which is perpendicular to the line ;

10x - 8y = -80

The first thing to do here is to write the equation in the standard form for a linear equation.

The standard form is y = mx + c where m refers to the slope and c refers to the y-intercept

Rewriting the equation we have;

8y-80 = 10x

8y = 10x + 80

Now divide the through by 8

We have;

y = 10x/8 + 10

Thus, comparing with y = mx + c , our m here is 10/8

Now for the two lines to be perpendicular, the product of their slope would be equals to -1

Let’s say the slopes are m1 and m2

mathematically m1m2 = -1

since m1 = 10/8

10m2/8 = -1

m2 = -8/10

m2 = -4/5

7 0

3 years ago