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VashaNatasha [74]
3 years ago
14

What is the expanded form of this number?

Mathematics
2 answers:
Scilla [17]3 years ago
4 0
The answer is the first one
S_A_V [24]3 years ago
3 0

Answer:

the first choice is correct

Step-by-step explanation:

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Ava wants to draw a parallelogram on the coordinate plane. She
wolverine [178]

Answer:

k =(2,1)

JK = 2

Step-by-step explanation:

Given

J = (0,1) ---- (x_1,y_1)

H = (1,-2) --- (x_2,y_2)

I = (3,-2) --- (x_3,y_3)

See attachment for grid

Solving (a): The coordinates of K

The parallelogram has the following diagonals: IJ and HK

Diagonals bisect one another. So:

Midpoint of IJ = Midpoint of HK

This gives:

\frac{1}{2}(I + J) = \frac{1}{2}(H+K)

\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)

\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)

\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)

Multiply through by 2

(3,-1) = (1+x,-2+y)

By comparison:

1 + x = 3

-2 + y = -1

Solve for x and y

x = 3 - 1 =2

y = -1 +2 = 1

So, the coordinates of k is:

k =(2,1)

The length of JK is calculated using distance (d) formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

J = (0,1) ---- (x_1,y_1)

k =(2,1) ---- (x_2,y_2)

So:

d = \sqrt{(0 - 2)^2 + (1 - 1)^2

d = \sqrt{(- 2)^2 + (0)^2

d = \sqrt{4 + 0

d = \sqrt{4

d = 2

Hence:

JK = 2

8 0
3 years ago
I don't really understand i really help please and thankyou
xxMikexx [17]

Answer:

10,30,90,270,810,2430

The formula here seems to be multiplying the previous value by 3.

3 0
4 years ago
The height of a ball kicked in the air is modeled by the equation h(t) = -2t^2 +8t +24, where h is the height of the ball in fee
Setler79 [48]

Answer:

Step-by-step explanation:

The rate of change in any function is the slope of the line between 2 points. Our points are t = 2 and t = 5. But we know that the slope formula also involves the h's for each of those t's. We need to find them first. The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}, but for us it will look like this (fittted to our needs):

m=\frac{h_2-h_1}{t_2-t_1}. So we need to find those h's.

when t = 2, plug in a 2 for t and solve for h.

Therefore, h(2)=-2(2)^2+8(2)+24 and

h(2) = 32 and in coordinate form, (2, 32).

When t = 5, plug in a 5 for t and solve for h.

Therefore, h(5) =-2(5)^2+8(5)+24 and

h(5) = 14 and in coordinate form, (5, 14). Now we can plug into our slope formula:

m=\frac{14-32}{5-2}=\frac{-18}{3}=-6 , choice B.

The rate of change is -6 which, in words, means that the ball fell 6 feet every 1 second it fell.

5 0
3 years ago
Convert 77 degrees in Fahrenheit to Celsius temperature using the formula F = 9/5 C + 32
gogolik [260]

Answer:

It   is (3) 25°C.

7 0
3 years ago
Sacar arista a un rectangunlo , cuadro y triangulo
stepan [7]

Answer:

i speak english

Step-by-step explanation:

3 0
3 years ago
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