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CaHeK987 [17]
3 years ago
9

A rectangle is twice as long as it is wide. Its area is 72 square units. Find the length of each side. System of equations

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

L = 12

W = 6

Step-by-step explanation:

W = 2L

A = L * W

A = 72

72 = L * 2L

72 = 3L

24 = L (you have to divide by 2)

L = 12

W = 6

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Help!!!! Plssss!!! ASAP
zimovet [89]

Answer:

The y-intercept is (0,-26)

Step-by-step explanation:

Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

We'll take the first two points P(34,-52) and Q(51,-65) to find

y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26

Let's verify if the third point is on the line:

y=-\frac{13}{17}68-26=-52-26=-78

It belongs to the line. To find the y-intercept of the line, we set x to 0

y=-\frac{13}{17}(0)-26=-26

The y-intercept is (0,-26)

5 0
3 years ago
Find the value of x. Please help. I am confused
Oxana [17]

Answer:

x=30

Step-by-step explanation:

Exterior Angle Theorem = the exterior angle of a triangle is equal to the sum of the two opposite interior angle

Thus, 2x+6+36=4x-18

2x+42=4x-18 add 18 to both side

2x+60=4x minus 2x

60=2x

x=30

7 0
3 years ago
Find all solutions to
BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

7 0
3 years ago
1.
Gnom [1K]
The answer would be B.
5 0
3 years ago
Eight times the difference of a number and seventeen is thirty"?
Y_Kistochka [10]
Difference of a number and 17:   x - 17
eight times that = 8(x - 17)
8(x - 17) = 30

divide both sides by 8
x - 17 = 30/8

x = 30/8 + 17 which is 20.75
5 0
3 years ago
Read 2 more answers
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