Mathematics, 13.10.2020 16:01 heysorryguys

Im a lil stuck and my math was due almost an hour ago :

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Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Answer from: Quest

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

$k=\frac{ok'}{ok}$ (1)

distance formula,

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

$ok'=\sqrt{(2-0)^2+(4-0)^2}= \sqrt{4+16}= \sqrt{20}=2\sqrt{5}$

$ok=\sqrt{(4-0)^2+(8-0)^2}= \sqrt{16+64}= \sqrt{80}=4\sqrt{5}$

put these values in equation (1).

$k=\frac{2\sqrt{5}}{4\sqrt{5}}= \frac{1}{2}$

therefore scale factor is $\frac{1}{2}$ and option d is correct.

Answer from: Quest

to find the unit price of an object, you divide the price by object. you are trying to find out how much an object cost per unit.

for instance, lets say you have 50lb of ice cream(object) that cost 8.00 dollars(price). to find the unit cost, we take the 8.00 and divide it by 50, which will give us .16 cents per pound. we can check this by multiplying .16 by 50 = 8.00

object = e2

price = d2

unit price = c2

formula for c2:

=d2 / e2

so in my example about ice cream, we would have the following.

e2 = 50

d2 = 8.00

c2 formula:

=d2 / e2

Answer from: Quest

we know that

1) the inscribed angle measures half of the arc it comprises.

m∠dgf= $\frac{1}{2} (arc\ de+arc\ ef)$ > expression $1$

2) the opposite angles in an inscribed quadrilateral are supplementary angles

m∠dgf= $180-123$

m∠dgf= $57$ °

substitute in the expression $1$ to find the value of arc ef

$57= \frac{1}{2} (arc\ de+arc\ ef)$

$114= (73+arc\ ef) \\ arc\ ef=114-73\\ arc\ ef=41$

therefore

the answer is

the measure of the arc ef is $41\ degrees$

What is the measure of arc ef in circle h?

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Im a lil stuck and my math was due almost an hour ago :

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