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3 years ago

-4(k+2) = -k+31 i need the steps to solve it

Mathematics

2 answers:

Viefleur [7K]3 years ago

8 0

Answer:

k = -13

Step-by-step explanation:

-4(k +2) = -k +31

you multiply the bracket by -4

-4k-8 = -k+31

Collect the like terms

-4k+k = 31+8

-3k =39

divide both sides by -3

k = -13

Mademuasel [1]3 years ago

7 0

Answer:

k = -13

Step-by-step explanation:

Distributive property

(-4 x k + -4 x 2)

-4k + -8 = -k + 31

subtract 31 from both sides.

-4k - 39 = -k

add 4k to both sides

-39 = 3k

divide 3 from both sides

-13 = k

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3 years ago

Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC~DE

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Answer:- B , C and F are the right options.

Explanation:-

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3 years ago

Read 2 more answers

(I don't udnerstand, please help w/ explination as well)

12345 [234]

Answer:

A) 15 hours

B) 108 hours

C) 2073.45 miles

Step-by-step explanation:

The earth rotates fully 1 time in 24 hours. Fully rotate means that it goes through 360 degrees in 24 hours.

For this, we can set up unit ratio to solve.

"If earth rotates 360 degrees in 24 hours, 225 degrees take how much time (let it be x)?"

$\frac{360}{24}=\frac{225}{x}\\360x=24*225\\360x=5400\\x=\frac{5400}{360}\\x=15$

So , it takes 15 hours.

Here, the rotation is given in radian, NOT degrees. We know that 2π radians is 360 degrees, thus we can say:

"If earth rotates 2π radians in 24 hours, 9π radians take how much time (let it be y)?"

$\frac{2\pi}{24}=\frac{9\pi}{y}\\2\pi y=9\pi * 24\\2\pi y = 216\pi\\y=\frac{216\pi}{2\pi}\\y=108$

So, it take 108 hours.

The point on the equator is on the "outside" of the earth. So we need to figure out the circumference of the earth, given diameter is approximately 7920.

Circumference formula is C = 2πr, where C is the circumference, r is the radius (half of diameter, which is 7920/2 = 3960)

Hence

C = 2πr = 2π(3960) = 7920π

Hence, is 24 hours, a point travels 7920π miles. 2 hours is 1/12th of 24 hours, so in 2 hours the point will travel 1/12th the distance is travels in 24 hours. So:

$\frac{7920\pi}{12}=2073.45$