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3 years ago

Complete this equation

Mathematics

1 answer:

schepotkina [342]3 years ago

8 0

Answer:

(x-3)^2+(y-2)^2=3

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Hillel is juggling flaming torches to raise money for charity. His initial appearence raises $500, and he raises $15 for each mi

7nadin3 [17]

Answer:

r(t) = 15t+500

Step-by-step explanation:

Since the amount of money (r) is a function of the time (t) we will make it the y-value. t is how much time and he gets $15 a minute so we multiply t by 15. 500 is how much he gets paid for doing it. If he showed up and just left, he would still get 500.

8 0

3 years ago

baherus [9]

Answer: see proof below

Step-by-step explanation:

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

4 years ago

If mAGF = mBGC = mDGC = mEGF = 70°, what is mAGB? A.40° B.70° C.110° D.35°

Tresset [83]

B it's going to work

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3 years ago

Ingrid is making a quilt using squares that measure 5in on each side. What is the length of a diagonal of one of the quilt squar

neonofarm [45]

5 inches because all lines/sides on a square are equivalent.
hope this helps! :)

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3 years ago

Complete the equation of the graphed linear function in point-slope form.

BlackZzzverrR [31]

They are using the point (2, 8) to write this equation. You know that because of the "y-8" in the equation, and also because it's bolded! lol. Anyways, what's missing is the slope and the x value from our point. The slope is -2. Find this by picking 2 points on the line and putting those into the slope equation. Use the bolded point and the x-intercept: (2,8) and (6,0): $m= \frac{0-8}{6-2}= \frac{-8}{4}=-2$ . As stated earlier the x coordinate in the bolded point is 2. So our equation is y-8=-2(x-2). And there you Go!

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4 years ago

Complete this equation ​

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