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ira [324]
3 years ago
6

rectangle A has 7 times the area of rectangle B. The width of rectangle A is 1/4 the width of rectangle B. The height of rectang

le A is 12 cm. What is the height of rectangle B?
Mathematics
1 answer:
algol133 years ago
8 0

Answer:

just do 7 times 1/4 + the 12 thats your answer

Step-by-step explanation:

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3 years ago
Write the equation of the circle with the given graph.
lara [203]

By identifying the radius and the center, we concluded that the equation is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

<h3></h3><h3>How to write the equation of the circle?</h3>

For a circle centered on the point (a, b) with a radius R, the equation is:

(x - a)^2 + (y - b)^2 = R^2

So first we need to identify the center, we can see that it is: (2, 1.5)

And the radius is the distance between the center and the edge.

R  = 1.8 (measured with a ruler, respecting the notation of the graph).

Then the equation of the circle is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
2 years ago
Mr. Chen started doing yard work at 10:00. He watered flowers for 6 minutes, weeded his garden for 12 minutes, and trimmed bushe
PilotLPTM [1.2K]

Answer:

Step-by-step explanation:idk

8 0
3 years ago
Read 2 more answers
The table includes points on a quadratic function used to model the shape of a hole for one support beam at a new building site.
erastovalidia [21]

The hole is 8 feet deep at ground level ⇒ 3rd answer

Step-by-step explanation:

The form of the quadratic function is y = ax² + bx + c, where

  • a is the coefficient of x²
  • b is the coefficient of x
  • c is the y-intercept (at x = 0)

The vertex point of the quadratic is (h , k), where h=\frac{-b}{2a}

and k is the value of y when x = h

The table:

→  x  :  -2   ,  0  ,  2

→  y  :  -6   , -8  ,  -6

∵ x represents distance from hole's center in feet

∵ y represents the depth from level ground

∴ The quadratic function is y = ax² + bx + c

∵ c is the value of y at x = 0 ⇒ y-intercept

- From the table at x = 0 ⇒ y = -8

∴ c = -8

- Substitute its value in the function model

∴ y = ax² + bx - 8

- To find the values of a and b substitute x and y in the model by

   the coordinates of the point in the table

∵ x = -2 and y = -6

∴ -6 = a(-2)² + b(-2) - 8

∴ -6 = 4a - 2b - 8

- Add 8 to both sides

∴ 2 = 4a - 2b

- Switch the two sides

∴ 4a - 2b = 2 ⇒ (1)

∵ x = 2 and y = -6

∴ -6 = a(2)² + b(2) - 8

∴ -6 = 4a + 2b - 8

- Add 8 to both sides

∴ 2 = 4a + 2b

- Switch the two sides

∴ 4a + 2b = 2 ⇒ (2)

Now we have a system of equation to solve it

Add equations(1) and (2) to eliminate b

∵ 8a = 4

- Divide both sides by 8

∴ a = 0.5

- Substitute value of a in equation (1) or to to find b

∵ 4(0.5) + 2b = 2

∴ 2 + 2b = 2

- Subtract 2 from both sides

∴ 2b = 0

- Divide both sides by 2

∴ b = 0

Substitute the values of a and b in the function model

∴ y = 0.5x² + (0)x - 8

∴ y = 0.5x² - 8

∵ y represents the depth from level ground

∵ The vertex of the function model is (h , k)

∴ The deep of the hole at ground level is the value of k

∵ h=\frac{-b}{2a}

∴ h=\frac{-(0)}{2(0.5)}

∴ h = 0

∵ k is the value of y when x = h

- From the table at x = 0 ⇒ y = -8

∴ k = -8

- Ignore the sign (-) because the k represents the depth of the

  hole in feet

∴ The deep of the hole at ground level is 8 feet

The hole is 8 feet deep at ground level

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

#LearnwithBrainly

4 0
3 years ago
You charge $2 per evening plus $5 per hour to babysit and you only charge for whole hours. You have a goal to earn at least $121
KATRIN_1 [288]

Answer:

8 hours

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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