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prisoha [69]
3 years ago
9

3) A hat's price was increased by 25%. If the original price was $12.00. How

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

15 dollers

Step-by-step explanation:

sukhopar [10]3 years ago
3 0

Answer:

$15

The difference is 3 dollars

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If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
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So (f-g)(x) = 3x2 + x, so when x = 2, the function is 14
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A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle
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3x - 13

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.

(x-6) + (x+2) + (x-9)

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x + x + x - 6 + 2 - 9

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Ethan decided to give 10% of his monthly income to charity. This month, he wrote the
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3 years ago
In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B
Step2247 [10]

Answer:

<em>The coordinates of P are (-2,0)</em>

<em>The radius of the circle is 5.</em>

Step-by-step explanation:

<u>Analytic geometry</u>

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

Substituting x1=-6, x2=2, y1=3, y2=-3:

\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2

\displaystyle y_m=\frac{3-3}{2}=0

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting x1=-6, x2=-2, y1=3, y2=0:

r=\sqrt{(-2+6)^2+(0-3)^2}

r=\sqrt{4^2+(-3)^2}

r=\sqrt{16+9}=\sqrt{25}=5

The radius of the circle is 5.

4 0
3 years ago
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