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Leni [432]
2 years ago
13

Find the height of the pyramid. Volume = 198 yd 9 yd 11 yd The height is yards.

Mathematics
1 answer:
Rzqust [24]2 years ago
4 0

Answer:

12 yards

Step-by-step explanation:

h = (3×198)/(½×11×9)

= 594/(49.5)

= 12 yds

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Which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a lin
Kobotan [32]

Answer:

3

Step-by-step explanation:

We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.

To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:

ax^2+bx+c=0, a\neq 0

Then to resolve a quadratic equation we apply Bhaskara's formula:

x_{1}=\frac{-b+\sqrt{b^2-4ac} }{2a}

x_{2}=\frac{-b-\sqrt{b^2-4ac} }{2a}

It usually has two solutions.

But it could happen that \sqrt{b^2-4ac} then the equation doesn't have real solutions.

Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.

And it's not possible to have more than 2 solutions. Then the answer ir 3.

For example:

In the three graphs the pink one is a quadratic function and the green one is a linear function.

In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.

In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.

In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.

7 0
3 years ago
Oley Scotchgard sells TV's. He earns a 4.5% commission on sales. If his sales last week were $9000, how much did Oley earn?
mestny [16]
Oley earned $405.00 last week
7 0
3 years ago
X - (2x + 1) = 8 - (3x + 3)<br><br> Ayuda porfa
Marina86 [1]

Answer:

x = 3

Step-by-step explanation:

cambia los signos : x - 2x-1=8-3x-3

like terms : -x-1=5-3x

variable: -x+3x=5+1 --> 2x=6

dividir: x=3

4 0
3 years ago
If U = {all positive integers) and A = {x|x EU and x is an odd positive integer}, which describes AC?
Galina-37 [17]

Answer:

last choice

Step-by-step explanation:

If we are looking at positive integers and we take out the odd ones, the only one's that are left are the even ones.

So last choice.   (Also I assume AC meant the complement of A)

7 0
3 years ago
Read 2 more answers
Steve earned $7.40 per hour working his paper route. The first week, he worked 16 hours. After getting paid, he put $105 in the
prisoha [69]

Answer:17

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6 0
2 years ago
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