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2 years ago

A line segment with endpoints A = (3, 0) and B = (7,0). Then, plot all points

Mathematics

1 answer:

eduard2 years ago

5 0

Answer:

C(0,6)

Step-by-step explanation:

1) find the length of the base of the triangle

AB = 7-3 = 4

2) find the the height of the triangle

A = (base x height)/2

A x 2 = base x height

height = (A x 2)/base

height = (12 x 2)/4 = 6

3) find the equation of the line that passes threw the points AB

the two points have the same y so the equation of the line is

y = 0

4) use the formula of the distance between a point and a line to find C

|ax+by+c|/√a^2 + b^2 = distance

x = 0

y = 6

C (0,6)

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3 years ago

One city's highest temperature during this passed summer was 34 degrees Celsius, a second city's highest temperature over

PtichkaEL [24]

Answer:

$\°F = 93.2$

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Step-by-step explanation:

Given

$\°F = (\°C * 9/5) + 32$

$City\ 2 = 97\°F$

Required

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2 years ago

The equation $y=-4.9t^2+3.5t+5$ describes the height (in meters) of a ball thrown upward at $3.5$ meters per second from $5$ met

Georgia [21]

Answer:

Step-by-step explanation:

The position function is

$s(t)=-4.9t^2+3.5t+5$ and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.