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zzz [600]
3 years ago
13

What is the axis of symmetry of the function f(x)= -(x+9)(x-21)

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

The axis of symmetry is x = 6

Step-by-step explanation:

To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.

x + 9 = 0

x = -9

x - 21 = 0

x = 21

Now take the average of these two numbers.

(-9 + 21)/2

12/2

6

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Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width
mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

a^2+b^2=h^2

Then, we can express one side in function of the other as:

a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

8 0
2 years ago
a pair of pants that regularly costs $55 are on sale for 35% off the regular price what is the sale price?​
Alexeev081 [22]

$35.75

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4 0
3 years ago
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Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total va
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<span>Total = Principal × ( 1 + Rate )^years
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Total = 5,000 * (1.025)^3
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Source:
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6 0
3 years ago
If the perimeter of a rectangular picture frame must be less than 180 in, and the width is 26 in, what must the height h of the
valentinak56 [21]
You would form this inequality:

52 + 2x < (or equal to) 180

Then, solve as you would in an ordinary equation.

Subtract 52 from both sides of the sign. 180 - 52 = 128.

So, 2x is less than or equal to 128.
Divide 128 into two to get 64.

The height of the frame must be 64 inches.
4 0
3 years ago
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