Answer:
r = 5
Step-by-step explanation:
To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.
Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.
x=2y-2
x=y+3
Substitute the second equation into the first
y+3=2y-2
solve for y
y=5
plug into original
x=y+3=5+3=8 or x=2(5)-2=8
Allentown got 8 ft of snow, Georgetown got 5 ft of snow.
Answer:
B on the first question and A on the 2nd
Step-by-step explanation:
Answer:
(hope this helps can I pls have brainlist (crown) ☺️)
Step-by-step explanation:
7^8 x 7^3 x 7^4 / 7^9 7^5
= 7^(8+3+4) / 7^(9+5)
= 7^15 / 7^14
= 7^(15-14)
= 7.
When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:
7^8 x 7^3 x 7^4= 7^15
Now, look at the rest of the simplified equation and do the same to the denominator:
7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14
When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer = 7^15-14 = 7^1 = 7
Answer:
3
Step-by-step explanation:
Ascending order:
4 ,4 , 4 ,4 ,5, 6 ,7 , 7 ,7
9 data: split in
4 ,4 , 4 ,4 | 5 | 6 ,7 , 7 ,7
4 ,4 | 4 ,4 | 5 | 6 ,7 | 7 ,7
(7+7)/2-(4+4)/2
=7-4
=3
