Which of the following statements are true? Select all that apply.

Mathematics

1 answer:

tigry1 [53]3 years ago

8 0

Answer:

a,d

Step-by-step explanation:

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the length and width of a rectangle are consecutive even integers. the area of the rectangle is 80 square units. what are the le

nadya68 [22]

X(x + 2) = 120sq units

Set it equal to 0 
x^2 + 2x - 120 = 0 

factor 
(x + 12)(x - 10) 

For the shorter side: 
x - 10 = 0 
x = 10 

Now that you have x, solve for the longer side which we said was represented by 
x + 2 
10 + 2 = 12 

Proof 
A = L x W 
120 = 10 x 12 
120 = 120 
true 

Our length is 12 and our width is 10

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3 years ago

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Sladkaya [172]

Answer:

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Step-by-step explanation:

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2 years ago

Find the angle between the vectors u=i-9j and v=8i+5j

Katyanochek1 [597]

Answer: $\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}$

Step-by-step explanation:

$u \cdot v=(1)(8)+(-9)(5)=-37\\\\|u|=\sqrt{1^{2}+(-9)^{2}}=\sqrt{82}\\\\|v|=\sqrt{8^{2}+5^{2}}=\sqrt{89}\\\\\cos \theta=\frac{-37}{\sqrt{82}\sqrt{89}}\\\\\theta=\cos^{-1} \left(\frac{-37}{\sqrt{82}\sqrt{89}} \right)\\\\\theta=\boxed{\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}}$