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3 years ago

What is the equation of the line that has a slope of -3 and passes through the point (4,-2)

Mathematics

1 answer:

sukhopar [10]3 years ago

3 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

You know m = -3, so you can plug it into the equation

y = mx + b

y = -3x + b

To find "b", plug in the point (4,-2) into the equation

y = -3x + b

-2 = -3(4) + b

-2 = -12 + b Add 12 on both sides

10 = b

y = -3x + 10 Your answer is B

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Flying against the wind, an airplane travels 4560 kilometers in 6 hours. Flying with the wind, the same plane travels 3720 kilom

Flura [38]

Answer:

The speed rate of the plane in still air is 1006.67 km/h

The speed rate of the wind is 246.67 km/h

Step-by-step explanation:

To answer the question, we let the speed of the plane in still air = x km/h

Let the speed of the wind = y km/h

Therefore,

4560/(x - y) = 6 hours and

3720/(x + y) = 3 hours

4560 = 6·x - 6·y.........(1)

3720 = 3·x + 3·y ........(2)

Multiplying equation (2) by 2 and add to (1) gives

12080 = 12·x

x = 12080/12 = $1006\frac{2}{3}$ km/h

Substituting the value of x in (1) gives

4560 = 6040 - 6·y

6·y = 1480

y = 1480/6 = $246\frac{2}{3}$

The speed rate of the plane in still air = 1006.67 km/h

The speed rate of the wind = 246.67 km/h.

7 0

3 years ago

Kayla wants to determine her typical heart rate after sprinting 100 meters. Which of the following methods will give her the mos

OLga [1]

Measure the resting heart rate and then after the 100 meters check it agian.
If this helps mark brainliest if not use your brain.

3 0

3 years ago

Last year, there were 217 pies baked for the bake sale. This year, there were d pies baked. Using d, write an expression for the

natali 33 [55]

217+d is the answer _________

8 0

3 years ago

Which type of transformation is shown in the graph?

AysviL [449]

You need to include the actual picture of the graph :)

5 0

3 years ago

Which two triangles are congruent ? Complete the congruence statement . Please don’t be wrong I’ll

lukranit [14]

Answer:

ΔHFG≅ΔSUT

Step-by-step explanation:

You just have to match up the sides and the angle.It's easier to color code them.

For example:

Segment SU would be congruent with HF. (both would be blue, just example color)

Angle U is congruent to angle F (red)

UT congruent to FG (green)

6 0

3 years ago