3 years ago

Which is the completely factored form of 3xsquared -12x-15?

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

Answer:

3(x - 5)(x + 1).

Step-by-step explanation:

3x^2 - 12x - 15

Dividing through by 3:

= 3(x^2 - 4x - 5)

We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:

3(x - 5)(x + 1).

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If a line slope of -1/2 contains the point (2,3), then it must also contain which of the following points?

tiny-mole [99]

Before the fraction: -1/2, i have a negative sign
use y=mx+b
3=-1/2(2)+b
3+1=-1+b+1
4=b
check your work
0=-1/2x+4
0+4=-1/2x
(4)÷(-1/2)=(-1/2x)÷(-1/2)
-2=x
another pair is (-2,0) use this to figure out the other points, and/or the points you have in the multiple choice.

5 0

4 years ago

Reference attached image for the problem.Please show your work for finding the partial area.

-Dominant- [34]

To find the area of a sector of a circle use the next formula:

$A=\frac{\theta}{360º}*\pi *r^2$

As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:

$\theta=360º-90º=270º$

Find the area of the sector with angle 270º:

$\begin{gathered} A=\frac{270º}{360º}*3.14*(11in)\placeholder{⬚}^2 \\ \\ A=0.75*3.14*121in^2 \\ \\ A=284.955in^2 \end{gathered}$ Then, the approximate area of the given sector of a circle is 284.955 square inches