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3 years ago

5

(0,8) (-2,0). What is the equation of the linear graph shown?

1 answer:

Novosadov [1.4K]3 years ago

6 0

Answer:

F(x) = 4x+8

Step-by-step explanation:

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Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria

Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is <u>645.3 cubic inches</u>.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = $\frac{base}{2}=\frac{10}{2}=5\ inches.$

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

$20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2$

<em>Using square root on both sides we get:</em>

<em /> $19.36=leg2$ <em />

<em>leg 2 = 19.36 inches.</em>

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

$Volume=a^2\frac{h}{3}$

$Volume=10^2\times \frac{19.36}{3}$

$Volume=100\times 6.453$

$Volume=645.3\ cubic\ inches.$

<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

3 0

3 years ago

Q8 Q3.) Solve the system by the substitution method.

inn [45]

Recall that $(x+y)^2=x^2+2xy+y^2$ . So we can add twice the first equation to the second one to get

$x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4$

Since $xy=3$ , we have $y=\dfrac3x$ $(x\neq0)$ so

$x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0$

If $x+y=4$ , then

$x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3$

If $x+y=-4$ , then

$x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1$

So the solution set is

$(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}$

3 0

3 years ago

What is the domain of the function graphed below?

DaniilM [7]

Answer:

(-2,4] and [7,α)

Step-by-step explanation:

the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..

8 0

3 years ago

What do b times h mean

lana66690 [7]

Base times height in math

4 0

3 years ago

Read 2 more answers

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

aev [14]

The answer is is 3 hope it helps

6 0

3 years ago