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aliina [53]
3 years ago
14

Don’t mind the pencil writing

Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0

Answer:

Length = 22 cm

Width = 4 cm

Step-by-step explanation:

Area = 88 cm²

Length = x + 7

Width = x - 11

Area of rectangle = length*width

Therefore:

(x + 7)(x - 11) = 88

x(x - 11) +7(x - 11) = 88

x² - 11x + 7x - 77 = 88

Add like terms

x² - 4x - 77 = 88

x² - 4x - 77 - 88 = 88 - 88

x² - 4x - 165 = 0

Factorize

x² - 15x + 11x - 165 = 0

x(x - 15) +11(x - 15) = 0

(x + 11)(x - 15) = 0

x = -11 or x = 15

Let's use the positive number.

Therefore:

Length = x + 7

Plug in the value of x

Length = 15 + 7 = 22 cm

Width = x - 11 = 15 - 11 = 4 cm

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The linear inequality y<-2/3x+2 is graphed. Determine a solution for the inequality. A) (0,2) B) (3,0) C) (0,0) D) (0,3)
jenyasd209 [6]

Hello!

The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.

A) (0, 2)

2 < -2/3(0) + 2

2 < 2, this is false.

B) (3, 0)

0 < -2/3(3) + 2

0 < -2 + 2

0 < 0, this is false.

C) (0, 0)

0 < -2/3(0) + 2

0 < 2, this is true.

D). (0, 3)

3 < -2/3(0) + 2

3 < 2, this is false.

To check if choice C) (0, 0) is true, we should look at the given graph.

Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).

5 0
3 years ago
Explain how you would use algebra tiles to solve x - 3 = 7
Andrew [12]

Answer:

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2 years ago
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Helga [31]

Answer: 1439

Step-by-step explanation:

Volume= Length* breadth* height

= 15*1312*112

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3 years ago
If m∠2=4x and m∠4=3x- 8. I have to fine m∠1
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Step-by-step explanation:

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3 years ago
Suppose f(7) = 5​, f'(7) = 8​, g(7) = 3​, and g'(7) = 4. Find h(7) and h'(7)​, where h(x ) = 4f (x) + 3g(x).
dusya [7]

Answer:

h(7) = 29

h'(7) = 44

Step-by-step explanation:

If h(x) =4f(x)+3g(x), to find h(7) we can substitute the values of f(7) and g(7) and we get:

h(7)=4f(7)+3g(7)\\h(7)=4(5)+3(3)\\h(7)=20+9\\h(7)=29

To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.

This would mean that h'(x)=4f'(x)+3g'(x), we can substitute the values for f'(7) and g'(7)

h'(7)=4f'(7)+3g'(7)\\h'(7)=4(8)+3(4)\\h'(7)=32+12\\h'(7)=44

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3 years ago
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