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Ber [7]
3 years ago
10

Which binomial is a factor of x^2 + 2x - 15

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

(x−5)(x+3)

Step-by-step explanation:

To factorise, we firstly need two brackets, each containing an x.

(x)(x)

This creates the x2 term.

Now we need to get the rest of the terms. To do this, we need two factors of −15 which will add/subtract to give us +2

The two factors that do this are −3 and 5, as −3+5=2

∴(x−3)(x+5)

You can check by expanding it out.

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ΔABC has vertices A(0,10), B(4,10), and C(-2,4).
laiz [17]

A simple diagram will show you the intersection of altitudes is in the 2nd quadrant. It must have x-coordinate -2, as the altitude to the "base" y=10 must be the vertical line through (-2, 4).

The appropriate choice is ...

... C: (-2, 12)

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4 years ago
Sarah bought 96 pencils and 84 erasers to make gift bags for her friends.
Alexeev081 [22]

Answer:

C. 12

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the greatest common factor between 84 and 96 is 12

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TiliK225 [7]
8 times 3 equals 23 and that is one of the answers



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3 years ago
The line CD passes through the points C (2, -1) and D (1, 1). Which of the
inn [45]

Answer:

<em>The equation of the straight line in point - slope form</em>

<em>y +1 = -2 ( x-2)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are C( 2,-1) and D(1,1)

Slope of the line

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

   m = -2

<u>Step(ii):-</u>

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

<u><em>Final answer:-</em></u>

<em>The equation of the straight line</em>

<em>y +1 = -2 ( x-2)</em>

3 0
3 years ago
What is the probability of randomly selecting a day of the week and not getting Monday?
mrs_skeptik [129]

Days in a week n(S)=7

DAYS to not getting monday n(M)=6

probability P(M)=n(M)/n(S)

=6/7(ans)

6 0
3 years ago
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