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nevsk [136]
3 years ago
7

A bench in the shape of a parallelogram has a base of 25 inches and a height of 40 inches. What is the area of the bench? *

Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer:

1,000 square inches

Step-by-step explanation:

The formula for the area of a parallelogram is B * H, so multiply 25 and 40 together

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Please answer asap!!!!!
kherson [118]

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

2

=r

2

where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

4 0
3 years ago
you go to the movies with 5 friends. you and one of your friends each buy a bag of popcorn. the rest of your friends buy just on
vfiekz [6]
The x represents the ticket prices and the y represents the popcorn price. If we distribute the expression, we get 4x +2x + 2y. This shows us that all 6 people bought a ticket, and two bought popcorn. Now plug in the given values and solve.

6*7.25 + 2*3.25 = $50
6 0
3 years ago
What is the completely factored form of x4 + 8x2 – 9?
weqwewe [10]

Answer:

Hope that the payment picture will help you.Please mark me brilliant

5 0
2 years ago
What is the equation of the line that passes through the point (-4,2) and has a slope of 1/4
zubka84 [21]

Step-by-step explanation:

Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

y-2 = 1/4*(x-(-4))

y-2 = 1/4 * (x+4)

4*(y-2) = x+4

Equation of the line is,

x-4y = -12

8 0
2 years ago
Select the two figures that are similar to each other.
Nimfa-mama [501]
It’s 5 and 4

Have fun on that test
5 0
3 years ago
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