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3 years ago

7

What is the the y-intercept and x-intercept of the line. 4x - 4y= 36

1 answer:

algol133 years ago

4 0

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

$4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9$

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

$4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9$

So, the y-intercept must be (0,-9).

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See pictures attached below. Will give Brainliest!

Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

<u>Gifts Bags --> 6/7 hours</u>

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

$\frac{2}{3} +\frac{1}{2} = \frac{1}{x}$

$\frac{7}{6} = \frac{1}{x}$

$x = \frac{6}{7}$

<u>Centerpieces --> 7/4 hours</u>

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

<u>Balloons --> 15/16 hours</u>

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0

3 years ago

Evaluate the indefinite integral. (Use C for the constant of integration.) sin(10x) 1 cos2(10x) dx

Schach [20]

Answer:

The result of the integral is $-\frac{\cos^3{10x}}{30} + C$

Step-by-step explanation:

We are given the following integral:

$\int \sin{(10x)}\cos^{2}{(10x)} dx$

I am going to solve by substitution, using $u = \cos{10x}$ , so $du = -10\sin{10x}dx, dx = -\frac{du}{10\sin{10x}}$ . So, we have

$-\frac{1}{10} \int u^2 du$

Which has the following result:

$-\frac{u^3}{30} + C$

Going back to x, the result of the integral is

$-\frac{\cos^3{10x}}{30} + C$

5 0

3 years ago

What is the shape of the cross section of a sphere?

vazorg [7]

All cross sections of spheres are “circles”

8 0

3 years ago

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snow_tiger [21]

Noice that means points for me lol

8 0

3 years ago

Rani delivers bills to letterboxes and is paid $28 per thousand

yan [13]

Answer:

a) $70

b) 4000 items

c)$4.67/hr

Step-by-step explanation:

a) simplest, 28 (per 1000) x2 plus 14 for 500

b) 28*4=112. it could be 3.57143, but no one wants part of an item

c) 28/6=4.66667

3 0

3 years ago

Read 2 more answers