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ladessa [460]
3 years ago
14

Solve mathematics problem in photo please! Second

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0
Hello,

8+h>2+3h
==>-2h>2-8
==>-2h>-6
==>h<3

Answer C

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What is the equation of the line that passes through (4, -1) and (-2, 3)?
salantis [7]

Answer:

A

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 ) = (4, - 1) and (x₂, y₂ ) = (- 2, 3)

m = \frac{3+1}{-2-4} = \frac{4}{-6} = - \frac{2}{3} , thus

y = - \frac{2}{3} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 3) , then

3 = \frac{4}{3} + c ⇒ c = 3 - \frac{4}{3} = \frac{5}{3}

y = - \frac{2}{3} x + \frac{5}{3} ← in slope- intercept form

Multiply through by 3 to clear the fractions

3y = - 2x + 5 ( add 2x to both sides )

2x + 3y = 5 ( subtract 5 from both sides )

2x + 3y - 5 = 0 ← in general form

4 0
3 years ago
9p - 7t -11p + 13t =​
alexgriva [62]
The result is -2p + 6t .
5 0
3 years ago
Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.
PIT_PIT [208]

Answer:

No. The amounts of change are the same, but the original amounts are different.

6 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-3, 8) and (4, 1)?
butalik [34]

Answer:

The equation of the line is:

y=-x+5

Step-by-step explanation:

Given the points

  • (-3, 8)
  • (4, 1)

Finding the slope between the points

\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1-8}{4-\left(-3\right)}

m=-1

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope

substituting the values m = -1 and the point (-3, 8)

y-y_1=m\left(x-x_1\right)

y-8=-1\cdot \left(x-\left(-3\right)\right)

y-8=-\left(x+3\right)

Add 8 to both sides

y-8+8=-\left(x+3\right)+8

y=-x+5

Therefore, the equation of the line is:

y=-x+5

8 0
3 years ago
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