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dsp73
3 years ago
12

What is the equation of the line in slope-intercept form?

Mathematics
2 answers:
irga5000 [103]3 years ago
8 0

Answer:

y = \frac{5}{2} x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = \frac{5-0}{0-(-2)} = \frac{5}{0+2} = \frac{5}{2}

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = \frac{5}{2} x + 5 ← equation of line

Nookie1986 [14]3 years ago
6 0

Answer:

y = 2.5x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the gradient or slope and b is the y-intercept.

To find the gradient/slope (m), we need to do change in y ÷ change in x.

  1. Pick two co-ordinates on the line; (0, 5) and (-2, 0)
  2. Subtract the y co-ordinates; 5 - 0 = 5
  3. Subtract the x-co-ordinates; 0 - -2 = 2
  4. Finally, divide 5 by 2; 5 ÷ 2 = 5/2 or 2.5

Now we have y = 2.5x + b. The y-intercept is simply where the line crosses the y axis (it crosses at 0,5). This means the equation of the line is y = 2.5x + 5.

Hope this helps!

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The number 85 is decreased to 83. What is the percentage by which the
Readme [11.4K]

Answer:

~ 2.3%

Step-by-step explanation:

A percentage is a amount divided by the total.

2/85 (2 is the amount decreased) 0.02352941176470588235294117647059‬

That makes around 0.023.

That multiplied by 100 is 2.3 and that makes the percentage.

So yeah.

5 0
3 years ago
Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the
8_murik_8 [283]
So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t)  = 0.  Namely, what is "t" when h(t) is 0?

\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60
\\\\\\
0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0
\\\\\\
\begin{cases}
2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\
t-5=0\implies &\boxed{t=5}
\end{cases}

clearly the seconds cannot be a negative unit, so is not -3/2.
6 0
3 years ago
The half life of a radioactive kind of cadmium is 14 years. How much will be left after 28 years, if you start with 72 grams of
nlexa [21]

Answer:

18 grams

Step-by-step explanation:

8 0
3 years ago
I need answers to this
ololo11 [35]

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x  - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

5 0
3 years ago
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rusak2 [61]
Increase.

1/4 can be translated to 25%

1/2 can be translated to 50%

25% to 50% is an increase.
4 0
3 years ago
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