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agasfer [191]
3 years ago
14

Use the geometric model to factor x^2-9

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Answer:

(x - 3)(x + 3)

Step-by-step explanation:

a² - b² = (a - b)(a + b)

x² - 9 = (x - 3)(x + 3)

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Solve triangle ABC if AB=24.6, BC=29.7, and CA=30
PtichkaEL [24]
Triangle ABC equals 84.3
8 0
3 years ago
What is the expanded form of the expression -1/7 (y-x)
rodikova [14]

Answer:

-1/7 y + 1/7 x

Step-by-step explanation:

Can also be written as

1/7 x - 1/7 y

3 0
3 years ago
Secants L J and L M intersect and form an angle at point L. Solve for x.
german

Answer:

x = 14  

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}

Check:

\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}

It checks.

6 0
3 years ago
A rectangular room is 3 feet longer than it is wide and has an area of 154 square feet. Find the dimensions of the room.
telo118 [61]

Answer:

it is 8

Step-by-step explanation:

5 0
3 years ago
Solve the equation.
elena55 [62]

Answer:

C: x=-3 or x=4

Step-by-step explanation:

To solve the equation x^2-x-12=0 we need to factor it

We are looking for two numbers that when multiplied give -12 and when added give -x

This means that when factored, the equation would be (x-4)(x+3)=0

Now we can set each of these equal to 0, which means that at

x=-3 and x=4 , the equation will equal 0

4 0
3 years ago
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