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3 years ago

12

Factorize

a {}^{2} - 9b {}^{2} " alt="a {}^{2} - 9b {}^{2} " align="absmiddle" class="latex-formula">

2 answers:

AleksAgata [21]3 years ago

4 0

1^2 (a-9b)

Not sure but hope it helps :)

lakkis [162]3 years ago

3 0

Answer:

(a - 3b)(a + 3b)

Step-by-step explanation:

a² - 9b²

(a)² - (3b)²

(a - 3b)(a + 3b)

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X=-y+3 <br> 3y+x=5 pleaasseee heellppp meee

love history [14]

3y+(-y+3)=5
2y+3=5
2y=2
y=1
x=-(1)+3
x=2
Your answer is (2,1)
Hope this helps

6 0

2 years ago

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Zach has an above-ground pool that has a radius of 5.5 feet. He wants to put a new wall liner around his pool and needs to know

Tems11 [23]

Answer: 34.54feet

Step-by-step explanation:

Thw circumference of the pool will be calculated by using the formula:

= 2πr

where

π = 3.14

r = 5.5

Therefore, circumference = 2πr

= 2 × 3.14 × 5.5

= 34.54feet

Therefore, the circumference of the pool to the nearest hundredth is 34.54feet.

7 0

3 years ago

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

2 years ago

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What number is half-way between thirteen and thirty-one

mars1129 [50]

$\frac{13 + 31}{2} = \frac{44}{2} = 21$

Answer: 21

3 0

3 years ago

Simplify this polynomial:<br>3x2 - x + 2 - 5x2 + 8x - 5

Lemur [1.5K]

Answer:

3x - 3

Step-by-step explanation:

3 0

3 years ago