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3 years ago

12

Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is t

he length of Kara’s room?
A

13 feet

B

25 feet

C

26 feet

D

38 feet

2 answers:

olya-2409 [2.1K]3 years ago

6 0

Answer:

13

Step-by-step explanation:

adoni [48]3 years ago

4 0

Answer:

25 feet my guy and u deserve a meme scroll down for it

Step-by-step explanation:

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Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

6 0

3 years ago

(factor out) 3x(to the power of 2) -39x+36

motikmotik

3x² - 39x + 36
3(x²) - 3(13x) + 3(12)
3(x² - 13x + 12)
3(x² - 12x - x + 12)
3(x(x) - x(12) - 1(x) + 1(12))
3(x(x - 12) - 1(x - 12))
3(x - 1)(x - 12)

7 0

3 years ago

What is the coeficient of a+3b

stiks02 [169]

Answer:

The coefficient is 3

Step-by-step explanation:

The definition of a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).

6 0

3 years ago

Please help as soon as possible

Zolol [24]

Answer:

Diameter = 24 mm

Step-by-step explanation:

Volume of a sphere is 4/3 π $r^{3}$

First, we solve for radius:

2304π = 4/3π $r^{3}$

Multiply both sides by 3

3(2304π) = 4π $r^{3}$

Divide both sides by 4π

6912π/4π = $r^{3}$

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Cuberoot both sides

$\sqrt[3]{1728}$ = r

r= 12

Hence, the diameter would be: 2times the radius = 2*12= 24 mm

Hope this helps!

Please mark brainliest if you think I helped!

Would really appreciate!

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3 years ago

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yawa3891 [41]

Answer:

41

Step-by-step explanation:

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3 years ago