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Semmy [17]
3 years ago
7

Find the slope of the line given below by finding the rise and run. Also show or explain why the slope can be found from any two

points that fall on the line.

Mathematics
1 answer:
mylen [45]3 years ago
6 0
The slope of the line is
\frac{3}{2}
It can be found from any two points that fall on a line by using the formula
y2 - y1  \\  -  -  -  -  \\ x2 - x1
2 is x or y from the second point and 1 is x or y from the first point

For example in that problem the first point is -2,0 and the second one is 0,3
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6 0
2 years ago
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Find the measure of angle h
AnnZ [28]

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

{gk}^{2}  =  {gh}^{2}  +  {kh}^{2}  - 2(gh)(kh) \times  \cos(h)

{8}^{2}  =  {17}^{2}  +  {15}^{2}  - 2(17(15) \times  \cos(h)

64 = 289  + 225 - 510 \times  \cos(h)

64 = 314 - 510 \times  \cos(h)

- 250 =  - 510 \times  \cos(h)

\frac{250}{510}  =  \cos(h)

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Take the arcos or cosine inverse

\cos {}^{ - 1}  =  \frac{25}{53}

Which is about 62 degrees.

7 0
2 years ago
A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al
azamat

Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

y-y_1=m(x-x_1)

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

m=120

After x_1=1.5 minutes, the balloon is at an altitude of y_1=2,150 feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

y-2,150=120(x-1.5)

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)

Now, find the height after 4 minutes:

y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450

Thus, the balloon will reach only 2,450 feet after 4 minutes.

4 0
3 years ago
Drag each title to the correct box. Not all tiles will be used
mestny [16]

Answer:

4, 1, 6.

See explanation

Step-by-step explanation:

You are given the equation

d=vt-\dfrac{1}{2}at^2

First subtract vt from both sides:

d-vt--\dfrac{1}{2}at^2

and multiply the equation by -1:

vt-d=\dfrac{1}{2}at^2\ \ \ \ (1)

Now multiply (1) by 2:

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At last, divide by a

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During a weekend, the manager of a mall gave away gift cards to every 80th person who visited the mall.
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