MATHEMATICS HIGH SCHOOL

a walking path across a park is represented by the equation y=-2x-7. a new path will be built perpendicular to this path. the paths will intercect at the point (-2,-3) . identify equation that represents new path

Answers

Answer 1
Answer:

Answer:

Answer is y = 1/2x-2

Step-by-step explanation:

hope this helped

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A researcher calculates the expected value for the number of girls in three births. He gets a result of 1.5. He then rounds the result to 2, saying that it is not possible to get 1.5 girls when three babies are born. Is this reasoning correct? Explain.

Answers

yes his reasoning is correct because you can not cut a person in half. you can not be born with half of a body so you would have to round your result to the nearest whole number which in this case is 2 so he would technically be correct

A car drives 120 miles at a speed of 40 mph. How long did it take?

Answers

Answer:

3 hours

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

120/40=3

Which of the following is equivalent to 18- √25?
5i
18 – 5i
18 + 5i
23

Answers

In this complex number, assuming that the equation actually is 18- √-25, the real part is already simplified. However, the imaginary part can be simplified by taking out "i" from the root using the relation i = √-1. This is done below:

18 - √-25
18 - √(-1)(25)
18 - 5i

From the choices, the correct answer is 18 - 5i.

Answer:

The answer is B

Step-by-step explanation:

A trading token is in the shape of a trapezoid and has an area of 25 cm² if the bases are three and 7 cm what is the height of the tokens

Answers

Area = (b1 + b2)/(2) *h
25 = (3 + 7)/(2) * h
25 = (10)/(2)*h
25 = 5h
5 = h
the height is 5

A fountain on a lake sprays water in a parabolic arch modeled by the equation y = −0.4x2 + 3x, where y is the height in feet and x is the horizontal distance. A beam of light is passed through the fountain to create a rainbow effect. If the beam is directed at an angle modeled by the equation -2.2x + 4.9y = 8.18, at what distance from the ground will the beam first touch the water spray?

Answers

Hello,

y=-1.4x²+3x
y=2.2/4.9 x +8.18/4.9

-0.4x²+3x=2.2/4.9 x +8.18/4.9

==>1.96 x² -12.5x +8.18=0
Δ=92.1188....=9.597...²

x=(12.5-9.597...)/(2*1.96)=0.7403433....
=>y=-0.4*0.7403...²+3*0.7403...=2.00178682...

Answer: 2.001... ft

What is X divided by 2?

Answers

x/2 is the same thing as 1/2x

--Hope This Helps--
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An alloy weighing 40 lbs. is 10% tin. The alloy was made by mixing a 15% tin alloy and a 8% tin alloy. How many pounds of each alloy (to the nearest tenth) were used to make the 10% alloy?lbs. of the 15% alloy and lbs. of the 8% alloy.