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3 years ago

80 pounds to 90 pounds, by what percentage did mr. mathewson increase the amount of weight he lifted?

Mathematics

1 answer:

WARRIOR [948]3 years ago

5 0

Mr. Mathewson increased the amount of weight he lifted by 12.5%

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M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot

mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

$\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$

Let C(10, -5) be (x₁, y₁) and Point D be (x₂, y₂). The midpoint M is (4, 0). Hence:

$\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)$

This yields two equations:

$\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0$

Solve for each:

$\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}$

And:

$\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}$

In conclusion, Point D = (-2, 5).

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2 years ago

How many inches are in 240 feet?

Tema [17]

2880 ...................................

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3 years ago

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Which statements are true for the functions g(x) = x^2 and h(x) =-x^2? Check all that apply

Sloan [31]

Answer:

h(x) is the NEGATIVE of g(x)

Step-by-step explanation:

Where are the statements? Please share them next time.

h(x) is the NEGATIVE of g(x): h(x) = -x^2 = -g(x)

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2 years ago

Solve using quadratic equation by factoring. x^2-9x=-14

Sonbull [250]

Answer:

2,7

Step-by-step explanation:

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2 years ago

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Find the slope of (0,1) and (2,-3) with this equation (Y2-Y1)/(X2-X1)

aalyn [17]

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{-4}{2}\implies -2$

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3 years ago