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3 years ago

6

The standard form of a linear equation is Ax + By = C. Rewrite this equation in slope-slope-intercept form. What is the slope? W

hat is the y-intercept?

1 answer:

myrzilka [38]3 years ago

4 0

Standard form is Ax + By = C, or By = C - Ax.

Dividing both sides by B, we get y = C/B - (A/B)x

Here the y intercept is C/B, and the slope is -A/B.

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3 years ago

The difference of two numbers is 0.77. If the larger number is increased 5 times, then the difference becomes 77. Find the numbe

Lelu [443]

Let the two numbers are x and y

Let larger number = x

and smaller number = y

it means

x-y = 0.77

Now it says larger number is increased 5 times

So it now becomes 5x

So second equation becomes

5x -y =77

Now we have to solve these two equations

x-y = 0.77 and 5x-y = 77

multiply first equation by -1 and then add both equations

-x+y = -0.77

Now on adding we get

-x+5x +y -y = 77-0.77

4x = 76.23

Divide both sides by 4

x=19.0575

We get the larger number , now subtract 0.77 from this , we will get the smaller number

y=19.0575-0.77=18.2875

y=18.2875

Hence the larger number = 19.0575

Smaller number = 18.2875

8 0

3 years ago

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Paula's house is assessed at $213,000, and her property tax rate is 2.9%. How

NARA [144]

Answer:A

Step-by-step explanation:

She is taxed at a rate of 2.9%, so each year she is taxed 213000 * 2.9% . calculating this, we find that every year, she must pay 6177 in taxes. However, we need the amount in a month, so we divide by 12, to get 6177/12= 514.75, or A

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3 years ago

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What is the exact volume of the cylinder enter your answers in the term of pie in the Box 5cm 15cm

olga_2 [115]

Answer:

Valume of cylinder : πr² × h = π × 5² × 15 = 375π ≈ 1177.5 cm³

8 0

3 years ago

I need answer Immediately pls!!!!!!

Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

$n(U)=27$

$n(A)=7$

$n(B)=18$

$n(A'\cap B')=7$

We know that,

$n(A\cup B)=n(U)-n(A'\cap B')$

$n(A\cup B)=27-7$

$n(A\cup B)=20$

Now,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=7+18-n(A\cap B)$

$n(A\cap B)=7+18-20$

$n(A\cap B)=25-20$

$n(A\cap B)=5$

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

$\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}$

$\text{Probability}=\dfrac{5}{27}$

Therefore, the required probability is $\dfrac{5}{27}$ .

3 0

3 years ago