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larisa86 [58]
3 years ago
9

Write an equation in slope intercept form for the given line. (y=mx+b) pls help

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

y = -1/2x + 3

Step-by-step explanation:

y = mx + b

The b is the y-intercept or the point where x is 0. According to the given graph, the y-intercept is (0, 3). So, b would equal 3

b = 3

Slope is simply rise over run, so for a simple line graph like this, we can count how many points the line goes up, or down, and right, or left, to reach the next point. According to the given graph, the slope is -2/4 or -1/2.

m = -1/2

plug these into the slope-intercept equation to find the answer

y = -1/2x + 3

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4x + y< 2
bulgar [2K]

The two inequalities can be rewritten as

\begin{cases}y-2\end{cases}

The solution is composed by every point below the graph of the line y=-4x+2, and above the horizontal line y=-2

To draw the line y=-4x+2 we can build a little table (only 2 points are required):

\begin{array}{c|c}x&y\\0&2\\1&-2\end{array}

So, if you draw the points (0,2) and (1, -2) and connect them, you'll have your line.

To draw the line y=-2, simply pick any point with y coordinate -2, for example (0, -2), and draw a horizontal line.

Choose the above/below areas as specified above to solve the system.

5 0
3 years ago
Which pair of measurements are possible if they are congruent figures?
Marta_Voda [28]

Answer:Measure of angle X=140 degrees and Measure of angle Y= 94 degrees.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The distance from the center of an archery target to the outside edge of the target is 24 in. What is the diameter of the target
klemol [59]

Answer:

The diameter of the target is 48\ in

Step-by-step explanation:

we know that

In this problem the  distance from the center of an archery target to the outside edge of the target is equal to the radius of the target

so

r=24\ in

Remember that

The diameter is two times the radius

D=2r

substitute

D=2(24)=48\ in

7 0
3 years ago
If a soccer team played 160 games and won 65% of them, how many games did they win?
Sindrei [870]
The correct answer is 104 games.

You get that number by dividing 160 with a 100, to find out how large 1% is, and then you multiply it with 65 to find out how much 65% is, and the answer is 104 games.
4 0
3 years ago
When a particular mass-spring system is started by stretching the spring 3 cm, one complete oscillation takes 4 seconds.
11Alexandr11 [23.1K]

Answer:

A. 5.16 s.

B. 5.66 s.

Step-by-step explanation:

A.

For a simple harmonic motion,

T = 2pi (sqrt * (l/g))

Given:

L1 = 3 cm

T1 = 4 s

L2 = 5 cm

T2 = ?

4 = 2pi*sqrt(3/g)

g = 7.4

At, L2,

T2 = 2pi*sqrt(5/7.4)

= 5.16 s.

B.

M1 = M1

M2 = 2*M1

For a simple harmonic motion,

T = 2pi (sqrt * (m/k))

4 = 2pi (sqrt * (M1/k))

M1/k = 0.405

Inputting the above values,

T2 = 2pi (sqrt * (2*M1/k))

= 2pi (sqrt * (2 * 0.405))

= 5.66 s.

4 0
3 years ago
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