what is the peremiter of DEFG

Answer:

6

Step-by-step explanation:

Answer:

c ???

Step-by-step explanation:

Answer:

[tex]\displaystyle f(x)=-\frac{1}{24}\left(x-12\right)^2+6[/tex]

Where f(x) models the height, in inches, of the frog's leap after it had leapt x inches.

Step-by-step explanation:

We are given that a frog leaps two feet, with the highest point in the jump being six inches.

Assuming the frog starts at (0,0), we want to find a quadratic function in vertex form for the path of the jump.

First, we will convert the length of the jump to inches. Two feet is equivalent to 24 inches.

Next, since the frog started at (0, 0), in order to jump a length of 24 inches, it must have ended at (0, 24). These two points will also be our two roots: x = 0 and x = 24. We can use the factored form of a quadratic:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where p and q are the roots.

Substitute in the roots:

[tex]f(x)=a(x-0)(x-24)=ax(x-24)[/tex]

Now, since the frog reached a maximum height of six inches, the y-coordinate of the function at its vertex point is 6.

Since a parabola is symmetrical along its axis of symmetry, the axis of symmetry is always halfway between the two roots.

Therefore, the x-coordinate of our vertex is:

[tex]\displaystyle x=\frac{24-0}{2}=12[/tex]

So, when x = 12, f(x) = 6. Substitute:

[tex]6=a(12)(12-24)[/tex]

Solve for a:

[tex]\displaystyle- 144a=6\Rightarrow a=-\frac{1}{24}[/tex]

Therefore, our function is:

[tex]\displaystyle f(x)=-\frac{1}{24}x(x-24)[/tex]

Now, we can place this into vertex form:

[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Our leading coefficient is -1/24, and the vertex is (12, 6). Hence, our function is:

[tex]\displaystyle f(x)=-\frac{1}{24}\left(x-12\right)^2+6[/tex]

Where f(x) models the height, in inches, of the frog's leap after it had leapt x inches.

Answer:

244140625 or 5^12

Step-by-step explanation:

When it comes to multiplication, you add exponents IF the base (the 5 at the bottom is called base) is the same answer. for example: 1^16 x 1^9, since the exponents are the same you just add the exponents (16 & 9) which is 25 or 1^25

Dividing is the same as multiplying except your subtracting with the examples, adding and subtracting is simplifying and solving, for example

14^2 + 13^3

          14 * 14 = 196

                   13*13*13 =2,197

          196+2,197 = 2,393

Same thing for subtraction

13^3 - 14^2

2,197 - 196 = 2,001

Hope this helps

~R3V0

Answer:

4

Step-by-step explanation:

the coefficient is the number next to the variable. In this case, the variable is x so the number right next to x is the coefficient

Answer:

16π

Step-by-step explanation:

ooohhhh, that makes so much more sense, I wasn't actually supposed to substitute 3.14 for π, whoops, sorry

Answer:

D.

Step-by-step explanation:

As you can see, there is a total of 8 slices, and 5 are shaded. So, you know that it is 5/8. As you can also see, there is 5 of these. So, you would have 5/8 5 times, or:

5/8 x 5

Hope this helps!

Answer:

Confusion

Step-by-step explanation:

what the heck are you asking?

Answer:

b

Step-by-step explanation:

Answer: Answer: C. 3.2 × 10^4

Step-by-step explanation: for this case the multiplication of the values with exponent are summed, as the exponent are the 6 and -3

6 - 3 = 3

this will be the exponent of the common value which is the 10.

after you only need to multiply 8 and 4 by separate the

8 * 4 = 32.

then we only need to place the values one by one

32 × 10^3

3 is the result of the sum of the exponent.

10 is the common value.

32 is the result of the product.

if we add another zero to the multiplication we get 3.2 and exponent finish with one more zero, then we get this result

3.2 × 10^4

because of that the C is the correct answer, keep in mind that the other answers do not apply correctly the rule of the exponent, because the rest of answer give us wrong answer with final result of the exponent.

Answer:

follow the steps

Step-by-step explanation:

Answer: 3/7

Step-by-step explanation:

im not sure but i thinks its 3/7

Answer:

answer:55 because he started of at 45+25=70 then -15=55 so it basically can be used with parenthesis,cif this helped subscribe to amiredagoat Yt

Step-by-step explanation:

Answer:

16/32

Step-by-step explanation:

Answer:

i think that every time she rolls the dice, she is further away from the gym

Step-by-step explanation:

Answer:

C, 8.5

Step-by-step explanation:

The area of a rectangular prism is Length times Width times Height. If the volume of the tank (which is a rectangular prism) is 1360, then the L x W x H is 1360. The area of the base of the tank is determined by multiplying the Length and the Width together, so that means that L x W = 160.

Our first equation

L x W x H = 1360

Our second equation

L x W = 160

We see that 1360 divided by 160 gets us the height of the prism.

1360 / 160 = 8.5, so the answer is C

Answer:

4x − 30 = ≤12

Step-by-step explanation:

4x − 30 = ≤12

+30 on both sides

4x≤42

divided by 4 on both sides

x≤10.5

Answer:

don't search link

Step-by-step explanation:

The predicted value of the scatter plot at x=40, according to Sandra's trend line prediction will be 130.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

To get the predicted value to the scatter plot at x=40, substitute the value of x as 40 in the given function of the trend line. Therefore, the value will be,

[tex]y = 3x+10\\\\y = 3(40)+10\\\\y=130[/tex]

Hence, the predicted value of the scatter plot at x=40, according to Sandra's trend line prediction will be 130.

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Answer:

rectangular prism

Step-by-step explanation:

Answer:

Yes this is a function.

Step-by-step explanation:

This graph is a function because it passes the vertical line test. The vertical line test ensures that no x value has more than one y value. You can take a pencil, hold it vertically, and move it horizontally across your paper to test whether or not the graph contains multiple y values for a single x value. If it passes this test, then the graph is indeed a function.

Answer:

so in the first box next to -3 it would be -8

the next box would be 1

and the last one would be 7

then the other table the first box would be 1

then the second would be -2

and the last would be -6

and I hope you know how to graph

Answer:

y = 60

Step-by-step explanation:

All triangle angles add up to 180 so:

y + y + y = 180

3y = 180

y = 60

Answer:

y=60

Step-by-step explanation:

this is something to remember

when the angles of a triangle are all the same, they are 60°

Answer:

40.56 in.

Step-by-step explanation:

8 × 3.14 × 1/2 = 12.56 (perimeter for the half circle)

12.56 + 10 + 8 + 10 = 40.56

Answer:

Perimeter = 40.56 inches

Explanation:

The perimeter of a shape is all side lengths added up, so, we know there are sides with the lengths 10 inches, 10 inches, 8 inches, and a semicircle.

To find the perimeter of a semicircle, the formula is

C = πd/2, circumference equals pi times diameter divided by 2 OR C = πr, circumference equals pi times radius.

The diameter is 8, so, filling out the formula, it's

C = 3.14 x 8 /2

C = 25.13/2

C = 12.56

So, adding all the sides up, it's 10 in. + 10 in. + 8 in. + 12.56 in.

Therefore, the answer/perimeter/circumference is 40.56 inches.

This is my second answer so far, I hope it helped!

The way the question is worded is a little confusing.

I think I would say 10m. It could be 5m, but usually they list length first, then width. The perimeter, the whole distance around the outside, is 30 m (10 + 10 + 5 +5)

The length of the rectangle will be 10 m.

A rectangle is a two-dimensional shape (2D shape) in which the opposite sides are parallel and equal to each other and all four angles are right angles.

Given that, a rectangle has sides that are 10 m, 10 m, 5 m, and 5 m.

We need to find the length of the rectangle,

We have the dimensions 5 m x 10 m,

Lengths in a rectangle tells that how much the rectangle is long and the width tells how much the width tells about the breadth of the rectangle,

So, we can say that,

Length = 10 m

Width = 5 m

Hence, the length of the rectangle is 10 m.

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