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4 years ago

Find the area of the shaded region.

Mathematics

2 answers:

puteri [66]4 years ago

7 0

Hello!

You first have to find the area of the bigger rectangle

You find this by multiplying the sides

(x + 1)(x + 1) = x^2 + 2x + 1

Next you have to find the area of the smaller rectangle

(x - 7) * 5 = 5x - 35

Subtract the two polynomials

(x^2 + 2x + 1) - (5x - 35) = x^2 - 3x + 36

The answer is $x^{2} -3x + 36$

Hope this helps!

Lyrx [107]4 years ago

6 0

1)
Area of bigger rectangle
A = (x+1)(x+1) = x^2 + 2x + 1

2)
Area of smaller rectangle
A = 5(x - 7) = 5x - 35

3)
The difference:
(x^2 + 2x + 1) - (5x - 35)
= x^2 + 2x + 1 - 5x +35
= x^2 - 3x + 36

area of the shaded region = x^2 - 3x + 36

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Find the radius of a circle with area 49

lesya [120]

Answer:

r≈3.95

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=A

π=49

π≈3.94933

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3 years ago

H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?

likoan [24]

First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2

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4 years ago

A diver dove to a location 63/5 meters below sea level .he then dove to a second location 8 1/5 meters below sea level how many

satela [25.4K]

You just take the difference between them and the answer is 1 3/5

3 0

3 years ago

HELP ME PLEASE ITS DUE TODAY!!!!

Stells [14]

Step-by-step explanation:

$- 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9$

Therefore ranking them from least to most:

$- 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)$

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3 years ago

Help please! Could you explain it too?

Anettt [7]

Answer:

a) not proportional

b) proportional; k = $-\frac{3}{5}$

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

3 0

3 years ago