All categories

4 years ago

What is the vertex of the parabola defined by the equation(x − 2)^2 = -12(y − 2)?

2 answers:

6 0

X^2-4x+4=-12y+24
(x^2-4x-20)/-12=y
quadratic => vertex is (-b/2a,f (-b/2a))
Note it is a minimum since coefficient a is positive

KatRina [158]4 years ago

3 0

I got (2,2) as the answer

You might be interested in

Convert 29 inches to feet. Round answers to the nearest tenth

Bess [88]

29 ÷ 12 = 2.41667
Your answer is 2.4 feet

7 0

4 years ago

−7x−50≤−1 AND−6x+70>−2

fgiga [73]

Answer:

$-7\geq x$ and $[-7,12)$ in interval notation.

Step-by-step explanation:

We have been given a compound inequality $-7x-50\leq -1\text{ and }-6x+70>-2$ . We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

$-7x-50\leq -1$

$-7x-50+50\leq -1+50$

$-7x\leq 49$

Dividing by negative number, flip the inequality sign:

$\frac{-7x}{-7}\geq \frac{49}{-7}$

$x\geq -7$

$-6x+70>-2$

$-6x+70-70>-2-70$

$-6x>-72$

Dividing by negative number, flip the inequality sign:

$\frac{-6x}{-6}$

$x$

Upon merging both intervals, we will get:

$-7\geq x$

Therefore, the solution for our given inequality would be $-7\geq x$ and $[-7,12)$ in interval notation.

7 0

4 years ago

The square of a number plus the original number is 22 what could the number be?

arlik [135]

Answer:

x²+22

Step-by-step explanation:

let the number= X

x²+22

7 0

3 years ago

Read 2 more answers

The equation of a line is y=-2.5x+3. Which one of these points lies on this line?

lakkis [162]

D is the correct answer. Since this is an equation, equation means both side are equal. So if you put each point in place of y and x and do the math on the left side, the final result of that side has to be equal to the left one. Only (-2,2) follows this statement aka its a point on this line .

7 0

3 years ago

navik [9.2K]

Answer: 12.5

Step-by-step explanation:

3 0

2 years ago