Which choice is equivalent to the expression below?√28+8√7

A.8√35
B.12√7
C.10V7
D.9V35

Answers

Answer 1

Answer: $√(28)+8\sqrt7=√(4\cdot7)+8\sqrt7=\sqrt4\cdot\sqrt7+8\sqrt7=2\sqrt7+8\sqrt7=10\sqrt7\n\nAnswer:C.$

Answer 2

Answer: $√(28)+8\sqrt7=\n 2\sqrt7+8\sqrt7=\n 10\sqrt7$

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Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2. A. (-5, -15) B. (-23, -5) C. (-13, -7) D. (-11.5, -2.5)

Answers

Answer:

C. (-13, -7)

Step-by-step explanation:

The location of a point O(x, y) that divides a line AB with location A $(x_1,y_1)$ and B $(x_2,y_2)$ in the ratio m:n is given by:

$x=(m)/(m+n) (x_2-x_1)+x_1\n\ny=(m)/(m+n) (y_2-y_1)+y_1$

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

$x=(5)/(5+2) (-15-(-8))+(-8)\n\nx=(5)/(7) (-15+8)-8=(5)/(7)(-7)-8=-5-8=-13 \n\n\ny=(5)/(5+2) (-13-8)+8\n\ny=(5)/(7) (-21)+8=5(-3)+8=-15+8=-7$

Therefore the coordinates of point X is at (-13, -7)

Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds is given by the equation d=|300−48t|. At what times is the car 60 feet from you?

Answers

The answer to this question would be: 5 second

In this question, you are given the initial distance (300ft), car velocity(48ft/s) and the final distance(60ft). You are also given the equation to calculating the distance, so this question should be easier. The question is when the time where the distance is 60 ft. So the answer would be:

distance= 300-48t

60 = 300ft- 48t

48t= 300- 60=240

t= 5

Suppose Galileo and his assistant were 1 km apart when Galileo uncovered his lantern to try to measure the speed of light. How long would it have taken the light signal to reach his assistant?

Answers

There are many theories and measurement for the speed of light. It is believed that light travels at 299,792 km per second. In the earlier day philosopher Aristotle believed that light didn't travel but happens instantaneously. Therefore, for Galileo and his assistant to be only 1km apart, I would have to agree with Aristotle theory of light traveling instantaneously.

Introduction to addition or subtraction of fractions with different denominator 3/5+1/3

Answers

You must find the same denominator by finding the closest common factor of both.
In this case it would be 15 because both 5 and 3 go into 15.
You then have to multiply the numerator by the number you multiplied to get the denominator.
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Describe what happens to a parent function when you change k from 0 to –4.A.
The graph will stay the same.
B.
The graph will shift up 4 units.
C.
The graph will shift down 4 units.
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The graph will shift right 4 units.

Answers

C.
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