2 years ago

Question 5 of 5

Mathematics

1 answer:

Ksju [112]2 years ago

8 0

Rotation about the origin

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If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

$BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7$

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0

3 years ago

Write the sum and the product of the root of 2xsquare+10x-5=0

yan [13]

Answer:

Sum = -5.

Product = -2.5.

Step-by-step explanation:

For the general form ax^2 + bx + c = 0, the sum of the roots = - b/a and the product of the roots = c/a.

We have 2x^2 +10x - 5 = 0 so and the sum = -10/2 = -5 and the product = -5/2 = -2.5.

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3 years ago

Pat borrowed $2,000 to help pay college expenses. The interest rate was 8% annually, and she will repay the loan in 6 years. Wha

Basile [38]

Answer:

which is $160

Step-by-step explanation:

2,000 of 8%

= 160

2,000 divided by 8%

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The answer is 378 feet

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