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Marina CMI [18]

2 years ago

10

What’s the midpoint of a line segment joining the points (5,-4) and(-13,12)?

1 answer:

Dafna1 [17]2 years ago

4 0

Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:

((x1 + x2)/2 , (y1 + y2)/2)

((5 + -13) / 2 , (-4 + 12) / 2)

( -8 / 2 , 8 / 2)

(-4 , 4)

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Which of these graphs represent a rate of change of 4 ?

sammy [17]

The last graph because the slope is 40.

Slope equals rise over run

Rise is 4/ Run is 1

4/1=4

Slope (rate of change)=4

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3 years ago

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A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?

STALIN [3.7K]

Answer:1 inch = 2.54 centimeters so the answer is 3.76

Step-by-step explanation:

(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics

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3 years ago

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Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?

Sunny_sXe [5.5K]

49.5 mph
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3 years ago

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A straight line has equation y=5-3x<br>what is the gradient of the line?<br>

BARSIC [14]

Answer:

-3

Step-by-step explanation:

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M=gradient

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7 0

3 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0

3 years ago