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Amiraneli [1.4K]

3 years ago

7

What is the solution to the system of equations graphed below

1 answer:

madreJ [45]3 years ago

8 0

$\underline{+\left\{\begin{array}{ccc}y=-x-1\\y=x+1\end{array}\right}\ \ \ \ |\text{add both sides}\\\\.\ \ \ \ \ 2y=0\ \ \ |:2\\.\ \ \ \ \ y=0\\\\\text{substitute the value of y to the second equation}\\\\0=x+1\ \ \ \ |-1\\x=-1\\\\Answer:\ A.\ (-1,\ 0)$

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A hexagonal prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches.”

kirill115 [55]

Answer:

The volume of the prism is 300 cubic inches not 300 square inches

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=Bh$

where

B is the area of the base

h is the height of the prism

we have

$B=20\ in^2\\h=15\ in$

substitute

$V=20(15)=300\ in^3$

therefore

The volume of the prism is 300 cubic inches not 300 square inches

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3 years ago

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NARA [144]

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4 years ago

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Dafna11 [192]

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3 0

3 years ago

Read 2 more answers

The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find

julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

$Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49$

This results into:

$2l^2-l^2+14l-18l-81+49=0$

$l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0$

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

5 0

3 years ago