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damaskus [11]
3 years ago
12

What is the diameter of a 30 inch circle?

Mathematics
1 answer:
Svetach [21]3 years ago
8 0
C = (pi) * d
C / (pi) = d

30 / 3.14 = d
9.55 = d
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How do I find the vertex and the standard form? Plz explain
xenn [34]

Answer:

Vertex form

y = -4(x + 3)^2 + 10

Standard form;

y = -4x^2-24x - 26

Step-by-step explanation:

Mathematically, we have the vertex form as

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

(h,k) represents the vertex

We have h as -3 and k as 10

y = a(x+3)^2 + 10

To get a, we substitute any of the points

Let us use (-1,-6)

-6 = a(-1+3)^2 + 10

-6-10 = 4a

4a = -16

a = -16/4

a = -4

So we have the equation as;

y = -4(x+3)^2 + 10

For the standard form;

We expand the vertex form;

y = -4(x + 3)(x + 3) + 10

y = -4(x^2 + 6x + 9) + 10

y = -4x^2 - 24x -36 + 10

y = -4x^2 -24x -26

7 0
2 years ago
Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
Citrus2011 [14]
Oh this is a hard one I will get back to you whenever I get it
7 0
2 years ago
Use the intermediate value theorem to prove that there is a positive number c such that c2 = 2.
schepotkina [342]

So lets try to prove it,

So let's consider the function f(x) = x^2.

Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity).

Using the Intermediate Value Theorem,

it would be enough to show that at some point a f(x) is less than 2 and at some point b f(x) is greater than 2. For example, let a = 0 and b = 3.

Therefore, f(0) = 0, which is less than 2, and f(3) = 9, which is greater than 2. Applying IVT to f(x) = x^2 on the interval [0,3}.

Learn more about Intermediate Value Theorem on:

brainly.com/question/11377865

#SPJ4

6 0
1 year ago
A block of gold has a mass of 9,660 kilograms has a volume of 0.5 cubic meters. What is the density of gold
Brums [2.3K]
9660 divided by 0.5 = 19,320
4 0
3 years ago
Helppppp<br>needdddd it​
Olegator [25]

Answer:

angle don+angle gil=90°

don+ 74°=90°

don=90°-74°

don=16°

angle e + angle a=180°

128°+angle a=180°

angle a=180°-128°

angle a=52°

8 0
3 years ago
Read 2 more answers
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