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3 years ago

10

Find the midpoint of the line segment with the given endpoints of (-7,4) and (4, 20).

1 answer:

Natali [406]3 years ago

7 0

Answer:

Step-by-step explanation:

(-7 + 4)/2= -3/2

(4 + 20)/2= 24/2= 12

(-3/2, 12) the midpoint

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Solve for k 5/8(3k+1)-1/4(7k+2)=1

lesya [120]

Answer:

<h2>k = 7</h2>

Step-by-step explanation:

$\dfrac{5}{8}(3k+1)-\dfrac{1}{4}(7k+2)=1\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{5}{8\!\!\!\!\diagup_1}(3k+1)-8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}(7k+2)=8\cdot1\\\\5(3k+1)-2(7k+2)=8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(3k)+(5)(1)+(-2)(7k)+(-2)(2)=8\\\\15k+5-14k-4=8\qquad\text{combine like terms}\\\\(15k-14k)+(5-4)=8\\\\k+1=8\qquad\text{subtract 1 from both sides}\\\\k=7$

3 0

4 years ago

The monthly fees for single rooms at five colleges are $370, $310,$380,$340, and $310, respectively what is the mean of these mo

noname [10]

Answer:

$342

Step-by-step explanation:

370+310+380+340+310=1710

1710/5=342

8 0

3 years ago

Read 2 more answers

Yo, whats 36 in exponent form?

bezimeni [28]

Answer:

6^2

Step-by-step explanation:

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3 years ago

Read 2 more answers

7.489 divided by 0.09

galben [10]

49.87777777777778

easy divsion

6 0

3 years ago

Find c to two decimal places and find the measure of angle B. Angle A = 58°, Side AC = 5, Side BC = 8, Find side C. Angle C is 9

KATRIN_1 [288]

Answer:

c = 9.43
m∠B = 32°

Step-by-step explanation:

Side c = AB can be found using the Pythagorean theorem:

c² = a² + b² = 8² +5² = 89

c = √89 ≈ 9.43

__

Angle B is the complement of angle A, so is ...

B = 90° -A = 90° -58° = 32°

c is approximately 9.43; the measure of angle B is 32°.

5 0

3 years ago