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3 years ago

9

Find the equation of a line through (2,-4) and (-7,-4)

1 answer:

steposvetlana [31]3 years ago

3 0

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Find slope :
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$\text {Slope = } \dfrac{-4 - (-4)}{-7-2} = \dfrac{0}{-9} = 0$

When the slope is 0, the graph is a horizontal line.

Equation of the graph is y = -4

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Answer: y = -4
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Pleaseeeeeeeee answer if you do your the best at life!!!!!

jenyasd209 [6]

x+(-8)= -12

x-8= -12

x= -12+8

x=-4

-3 + x = 10

x=10+3

x=13

-2+x= -5

x=-5+2

x=-3

4 0

3 years ago

Read 2 more answers

the table below shows the function of f determine the value of f(3) that will lead to an average rate of change of 19 over the i

3241004551 [841]

ANSWER

$f(3) = - 25$

EXPLANATION

We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].

The average rate of change of f(x) over the interval [a,b]:

$= \frac{f(b) - f(a)}{b - a}$

If the average rate of change over the interval [3, 5] is 19, then;

$\frac{f(5) - f(3)}{5 - 3} = 19$

From the to table f(5)=13

$\frac{13 - f(3)}{2} = 19$

$13 - f(3) = 19 \times 2$

$13 - f(3) = 38$

$- f(3) = 38 - 13$

$- f(3) = 25$

$f(3) = - 25$

7 0

3 years ago

What are the roots to<br> the equation<br> 2x² + 6x-1=0?

lys-0071 [83]

Answer:

The roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Step-by-step explanation:

The given quadratic equation is 2 x² + 6 x - 1 = 0

This equation is in form of a x² + b x + c = 0

Let the roots of the equation are ( m , n )

Now , sum of roots = $\frac{ - b}{a}$

And products of roots = $\frac{c}{a}$

So, m + n = $\frac{ - 6}{2}$ = - 3

And m × n = $\frac{ - 1}{2}$

Or, (m - n)² = (m + n)² - 4mn

Or, (m - n)² = (-3)² - 4 ( $\frac{ - 1}{2}$ )

Or, (m - n)² = 9 + 2 = 11

I.e m - n = $\sqrt{11}$

Again m + n = - 3 And m - n = $\sqrt{11}$

Solving this two equation

(m + n) + ( m - n) = - 3 + $\sqrt{11}$

I.e 2 m = - 3 + $\sqrt{11}$

Or, m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$

Similarly n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$

Hence the roots of equations are as m = $\frac{-3}{2} + \frac{\sqrt{11} }{2}$ And n = $\frac{-3}{2} - \frac{\sqrt{11} }{2}$ Answer

6 0

3 years ago

Out of the 125 children at summer camp 45 signed up for swimming and 38 signed up for arts and crafts twelve students who signed

kap26 [50]

Add 48, 38, and 12 together to get your answer

5 0

3 years ago

Which is the mode of this data set?<br> 55, 78, 43, 39, 78, 61, 75, 50, 43, 78

Vikentia [17]

Answer:

78

Step-by-step explanation:

Mode = number that appears most in a set of numbers

The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!

6 0

3 years ago

Read 2 more answers