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Airida [17]
3 years ago
14

What are the solutions of 12 - x2 = 0?

Mathematics
1 answer:
Zarrin [17]3 years ago
5 0
X=6 that’s the answer
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I already found the vertex, but can someone help me find the latus rectum of this parabola?
Fofino [41]

Answer:

Step-by-step explanation:

y=x²+7

vertex(0,7)

the length of latus rectum in a parabola equal to four times the focal length :

y=x²+7

focus X=-b/2a=0

focus Y=c- (b²-1)/4a=7+1/4=29/4

focus (0 , 29/4)

latus rectum is 29/4

(x-h)^2 = 4p (y-k)   4p is the length of the latus rectum with vertex(0,7)

(0-0)²=4p(29/4-7)

0=29p-28p=1p

the length of the latus rectum is 1

8 0
3 years ago
Read 2 more answers
Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the s
Anettt [7]
She bought the shoe at a percent of 25
5 0
3 years ago
f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
WILL UPVOTE EVERY ANSWER! MULTIPLE CHOICE QUESTIONS!
Setler [38]
Do you mean ^2? cause if so... B don't really need crit points to solve, the parabola has a positive slope before x =2 
8 0
3 years ago
An elevator is traveling underground at a constant rate. The equation y= -2x - 10 can be used to represent this situation, where
professor190 [17]

4 is correct

reason is because the number next to x is the constant number and the end number is where you started

8 0
3 years ago
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