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Elden [556K]
2 years ago
8

Factorise x 2 + 2 x − 48

Mathematics
1 answer:
Hatshy [7]2 years ago
8 0

Answer:

x^2+ 2x +-48

product: -48  sum: 2

8, -6

x^2 +8x - 6x - 48

=> x(x+8) -6(x+8)

=> (x+8)(x-6)

Hope it helps...........

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2
soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is \frac{-1}{2}

Need to determine value of r.

Slope of a line passing through point \left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)  is given by following formula:

\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  --- eqn 1

\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}

On substituting the given value in (1) we get

\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}

Hence the value of "r" is -2

8 0
3 years ago
Point D What is the slope of the graph of 6x + 12y = 7? A. 1/2 B. -1/2 C. 2 D. -2
Dima020 [189]
6x + 12y = 7

12y = -6x + 7

y = -6/12 + 7

y = -1/2 + 7

the slope of the equation is -1/2
8 0
3 years ago
If you could help I would really appreciate it, but if not that’s fine. Thank you.
dolphi86 [110]

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

6 0
3 years ago
Turn -2x+4y=0 into slope-intercept form
yanalaym [24]
Y=1/2x +0. You add the 2x to the other side, and then divide everything by 4 to have only 1y.
3 0
3 years ago
Find the product of each sum and difference. (2l + 9)(2l – 9)
Alex787 [66]

Answer:

360

Step-by-step explanation:

(i think that is a 1 not an L)

21 + 9 equals 30. And 21-9 equals 12. So you would multiply 30*12 which gives you your answer!

<h2>360</h2>
4 0
3 years ago
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