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wlad13 [49]
3 years ago
13

A rectangle is dilated by a factor of 1/5. The area of the new rectangle is 4 square yards . What could be the dismension of the

original rectangle
Mathematics
1 answer:
katrin [286]3 years ago
4 0
 20 square yards is the answer
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Find the area of this shape
cestrela7 [59]

Answer:

28ft^2

Step-by-step explanation:

you only need 2 things to find the area of the triangle, base and height. The formula for finding the area is 1/2(base x height)

if we plug the numbers we are given into the formula we find

1/2(7x8)

1/2(56)

28

we find that the area of this triangle is 28ft^2

6 0
3 years ago
The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). Write the quadratic function in general f
ddd [48]

Answer:

f(x)=x^2+3x+2

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

f(x)=ax^2+bx+c

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

2=a(0)^2+b(0)+c

c=2

(-1,0)

For x=-1, y=0

substitute

0=a(-1)^2+b(-1)+2

0=a-b+2 ----> a=b-2 ----> equation A

(-2,0)

For x=-2, y=0

substitute

0=a(-2)^2+b(-2)+2

0=4a-2b+2 ----> equation B

we have the system

a=b-2 ----> equation A

0=4a-2b+2 ----> equation B

substitute equation A in equation B

0=4(b-2)-2b+2

solve for b

0=4b-8-2b+2

2b=6

b=3

Find the value of a

a=3-2=1

therefore

The quadratic function in general form is equal to

f(x)=x^2+3x+2

see the attached figure N 2 to better understand the problem

7 0
3 years ago
Find two integers whose sum is -12 and product is 35
Arturiano [62]

Answer:

-7 and -5

Step-by-step explanation:

-7 and -5 added together are -12, and their product is 35.

3 0
2 years ago
Please anwser correct.
ale4655 [162]

Answer:

19200

Step-by-step explanation:

cubic inches

5 0
2 years ago
Read 2 more answers
(a) what is the difference between a sequence and a series? a series is an ordered list of numbers whereas a sequence is the sum
strojnjashka [21]
A sequence is an ordered list of numbers whereas a series is the sum of the list of numbers.
8 0
3 years ago
Read 2 more answers
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