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3 years ago

Im desperate! please help!

Mathematics

1 answer:

djyliett [7]3 years ago

6 0

I would go with A. An estimate.

This may not be the right answer but Good Luck!

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The price of a sweatshirt at a local shop is twice the price of a pair of shorts. The price of a T-shirt at the shop is $4 less

fomenos

Answer:

The answer to your question is below

Step-by-step explanation:

Equation 1

$sweatshirt = 2 pair of shorts

w = 2h

Equation 2

$t-shirt = $pair of shorts - $4

t = h - 4

Equation 3

Total cost = 3 sweatshirts + 2 pairs of shorts + 5 t-shirts

Total cost = 3w + 2h + 5t = 136

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4 years ago

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Write an equation of the circle given its center and radius

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${(x + 4)}^{2} + {(y + 3)}^{2} = 64$

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A triangle has angle measurements of 27 degrees, 56 degrees and 97 degrees. What kind of triangle is it?

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3 years ago

Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant does the line with equatio

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Answer:

The point of intersection is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

Step-by-step explanation:

We want to find the point in QI at which the line with the equation:

$y=0.5x+5$

Intersect a circle with a radius of 3 and a center of (0, 5).

First, write the equation of a circle. The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is (0, 5), h = 0 and k = 5. The radius is 3. So, r = 3. Substitute:

$(x-0)^2+(y-5)^2=(3)^2$

Simplify:

$x^2+(y-5)^2=9$

At the point where the two equations intersect, its x-coordinate and y-coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for x. So:

$x^2+((0.5x+5)-5)^2=9$

Simplify:

$x^2+(0.5x)^2=9$

Square:

$x^2+0.25x^2=9$

Combine like terms:

$\displaystyle 1.25x^2=\frac{5}{4}x^2=9$

Solve for x:

$\displaystyle \begin{aligned} x^2&=\frac{36}{5} \\ x&=\pm\sqrt{\frac{36}{5}} \\ x&\Rightarrow \frac{6}{\sqrt{5}}=\frac{6\sqrt{5}}{5}\approx2.68\end{aligned}$

Note that since we are looking for the point of intersection in QI, x should be positive. So, we can ignore the negative answer.

To find the y-coordinate, substitute the x-value back into either equation. Using the linear equation:

$\displaystyle y=0.5\left(\frac{6\sqrt{5}}{5}\right)+5=\frac{3\sqrt{5}}{5}+5\approx 6.34$

So, the point of intersection in QI is:

$\displaystyle \left(\frac{6\sqrt{5}}{5}, \frac{3\sqrt{5}}{5}+5\right)\approx \left(2.68, 6.34)$

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3 years ago

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Step-by-step explanation:

$gradient = \frac{(3 - 6)}{(4 - 5)} \\ = 3 \\ y = mx + c \\ consinder \: (4, \: 3) \\ 3 = (3 \times 4) + c \\ c = - 9 \\ y = mx + c \\ y = 3x - 9$

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3 years ago

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