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vfiekz [6]
3 years ago
5

When plotted on a grid, the paths between four neighborhood houses form the shape of a kite as shown.

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

The area of the figure is 1,000 square feet

Step-by-step explanation:

we know that

The area of the kite ABCD

is equal to

A=\frac{1}{2}[AC*BD]

where

AC and BD are the diagonals of the kite

we have

BD=50\ ft\\AC=40\ ft

substitute

A=\frac{1}{2}[40*50]=1,000\ ft^2

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F(x)=2x^2+3 & g(x)=x^2-7 find (f-g)(x)
kicyunya [14]

Answer:

\boxed{\sf (f - g)(x) = x^2 + 10}

Given:

f(x) = 2x² + 3

g(x) = x² - 7

To Find:

(f - g)(x)

Step-by-step explanation:

(f -g)(x) = f(x) - g(x)

= (2x² + 3) - (x² - 7)

= 2x² + 3 - x² + 7

= 2x² - x² + 3 + 7

= x² + 3 + 7

= x² + 10

5 0
3 years ago
Find the equation of the line that cuts through (0,5) and (1,2)?
MArishka [77]

The equation of the line that cuts through (0,5) and (1,2) is y = -3x + 5

<h3><u>Solution:</u></h3>

Given that we have to find equation of the line that cuts through (0,5) and (1,2)

The equation of line passing through points (x_1, y_1) and (x_2, y_2) is given as:

y - y_1 = m(x - x_1)

Where "m" is the slope of line

Let us first find slope of line

<em><u>The slope of line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text{ Substituting }  (x_1, y_1) = (0, 5) \text{ and } (x_2, y_2) = (1, 2)

m=\frac{2-5}{1-0}=-3

<em><u>Thus the required equation of line is:</u></em>

y - 5 = -3(x - 0)\\\\y - 5 = -3x\\\\y = -3x + 5

Thus the equation of line is found

3 0
3 years ago
Does anybody know the answer to those two questions
Anna11 [10]

Answer:

Question Number 2 is 20

Question number 3 is 18x-32

Step-by-step explanation:

7 0
3 years ago
On Tuesday the Soto salad restaurant served 6 1/2 cups of Italian salad dressing. If the restaurant serves 1/4 cup of dressing w
Black_prince [1.1K]

Answer:

26 salads were ordered with Italian dressing

Step-by-step explanation:

Here, we want to know the number of salads ordered with Italian dressing;

To find the number of salads with Italian dressing, we shall need to divide the number of cups of italian salad dressing served by the number of cups of dressing served with each salad

Mathematically, that would be;

6 1/2 divided by 1/4

= 13/2 divided by 1/4

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5 0
3 years ago
What is the multiplication sentence for the following diagram?
aev [14]

Answer:

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