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2 years ago

2) WILL MAKE BRAINLIEST write the slope-interception form of the equation of each line.

Mathematics

1 answer:

Norma-Jean [14]2 years ago

8 0

Answer:

1.) y= 3

2.) y = 3/4 x -3

Step-by-step explanation:

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Somebody please help so I can pass, please

ASHA 777 [7]

First, we are going to find the vertex of our quadratic. Remember that to find the vertex $(h,k)$ of a quadratic equation of the form $y=a x^{2} +bx+c$ , we use the vertex formula $h= \frac{-b}{2a}$ , and then, we evaluate our equation at $h$ to find $k$ .

We now from our quadratic that $a=2$ and $b=-32$ , so lets use our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-32)}{2(2)}$
$h= \frac{32}{4}$
$h=8$
Now we can evaluate our quadratic at 8 to find $k$ :
$k=2(8)^2-32(8)+56$
$k=2(64)-256+56$
$k=128-200$
$k=-72$
So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
$y=a(x-h)^2+k$
$y=2(x-8)^2+(-72)$
$y=2(x-8)^2-72$
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.

We can conclude that:
The rewritten equation is $y=2(x-8)^2-72$
The x-coordinate of the minimum is 8

8 0

3 years ago

Read 2 more answers

The volume of a cone is 16 pi cubic inches. Its height is 12 inches. What is the radius of the cone? 2 in. 4 in. 12 in. 16 in.

mart [117]

The radius of cone is 2 inches

Solution:

The volume of cone is given by formula:

$V = \frac{\pi r^2h}{3}$

Where,

"V" is the volume of cone

"r" and "h" are the radius and height of cone respectively

Given that, volume of a cone is 16 pi cubic inches

Its height is 12 inches

Therefore, we get,

V = $16 \pi$ cubic inches

h = 12 inches

r = ?

Substituting the values in formula, we get

$16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2$

Since, radius cannot be negative, ignore r = -2

Thus radius of cone is 2 inches

8 0

3 years ago

Read 2 more answers

Can someone pls help me with this?

lara [203]

Answer:

14 is A

15 is B

Step-by-step explanation:

14 . the answer is a because first off the slope is negative so we can immediately eliminate B and D second of all the slope is 1/2 so we can eliminate D and get that the answer has to be a

15. answer is B for this one because first of all the slope is negative so we can immediately eliminate A and c and second of all the y-intercept would be 120 because 90 is what x=1 so we would have to add 30 to get what y would equal when x=0 if that makes sense

5 0

2 years ago

Julia swam 3/4 of a mile in the pool.if each lap is 1/16 of a mile,how many laps did she swim.

lions [1.4K]

The answer is twelve because to Make the two fractions denominators equal you have to multiply the numerator and denominator by 4 to get the denominators equal which gets you a fraction of 12/16 and if you divide that by 1/16 because that is how long each lap is then you get 16 which is the amount of laps they swam

5 0

3 years ago

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Find the percent of increase from 350 to 470. Round to the nearest tenth of a percent if necessary.

Vitek1552 [10]

The answer is 34.2857 percent and rounded is 34.3 percent

8 0

3 years ago