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Marina CMI [18]

3 years ago

7

Find the equation of a line passing through the point (-4,1) and perpendicular to the

1 answer:

n200080 [17]3 years ago

6 0

Answer:

A. y=-1/4x

Step-by-step explanation:

We have the information 3y=12x-9, the lines are perpendicular, and the new line passes through (-4,1). First, you want to put the original equation into slope intercept form by isolating the y, to do this we need to divide everything by 3 to get y=4x-3. The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 4, so flip it to 1/4 and multiply by -1, we get the slope of the new line as -1/4. So far we have the equation y=-1/4x+b. We are given a point on the line, (-4,1), we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as 1=-1/4(-4)+b. First you multiply to get 1=1+b, then you subtract 1 from both sides to isolate the variable and you get b=0. Then you can use b to complete your equation with y=-1/4x, or letter A.

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If 115 steps = 1 mln and 2 steps = 5 feet what is the ratio of feet to minutes?

Tanya [424]

Answer:

55

Step-by-step explanation:

7 0

4 years ago

ZX is perpendicular bisector of WY if WY=24 what is WX

bixtya [17]

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6 0

3 years ago

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

$2^x=1-3^x$

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

$2^{-0.75}=1-3^{-0.75}$

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

$2^{-1.25}=1-3^{-1.25}$

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

$2^{0.75}=1-3^{0.75}$

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

$2^{1.25}=1-3^{1.25}$

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

6 0

3 years ago

Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C

Mama L [17]

Total number of pizzas Juan ordered $20$

Since, $45\%$ of pizzas have $8$ slices.

Therefore, number of pizzas with $8$ slices are: $45\%\times(20)$

$=\frac{45}{100} \times(20)$

$=\frac{45}{10} \times(2)$

$=\frac{90}{10}$

$=9$ pizzas

Also, since, $55\%$ of pizzas have $12$ slices.

Therefore, number of pizzas with $12$ slices are: $55\%\times(20)$

$=\frac{55}{100} \times(20)$

$=\frac{55}{10} \times(2)$

$=\frac{110}{10}$

$=11$ pizzas

Now, there are $9$ pizzas with $8$ slices and $11$ pizzas with $12$ slices.

Therefore, total number of slices of pizza are: $=(9)(8)+(11)(12)$

$=72+132$

$=204$ slices

5 0

4 years ago

These are the answers. <br> yes they are correct.

gregori [183]

Answer:

I'm confused are you asking if your answer is correct

Step-by-step explanation:

4 0

3 years ago