Answer:
(x, y) = (1, 4)
Step-by-step explanation:
Given: x+y=5 and 2x-y=-2
Solve for y and x
x+y=5; solve for y
y = 5 - x; substitute into other equation
2x-y= -2
2x - (5 - x) = -2
2x - 5 + x = -2; combine x's
3x - 5 = -2; add 5 to both sides
3x =3; divide by 3
x = 1; use this to solve for y
x+y=5
1 + y = 5; subtract 1 from both sides
y = 4
(x, y) = (1, 4)
Answer:
1.
Step-by-step explanation:
sec 16° cosec 74° - cot 74° tan 16°
= 1/ cos 16 * 1/ sin 74 - 1/tan 74 * tan16
= 1/ cos16 sin 74 - cos74/ sin74 * sin 16 / cos 16
Now cos 16 = sin 74 and sin 16 = cos 74 (supplementary angles) so:
= 1 / cos^2 16 - sin 16/cos 16 * sin 16 / cos 16
=( 1 - sin ^2 16 )/ cos^2 16
= cos^2 16 / cos^2 16
= 1.
1. Yes, because y=kx. “Y” is equal to 4 × “x”, on every problem. y=4x
2. No, because on the first set of numbers 3 and 15 the equation is Y=5x. Then on the second set of numbers 4 and 17 the equation is Y=4.25x.
3. Yes, because Y=1.5x.
Theo ran 3K in 9.6 minutes:
9.6 divided by 3 = 1.2 munutes
3 divided by 3 = 1k
1k = 1.2 minutes.
Estaban ran 5k in 13.5 minutes:
13.5 divided by 5 = 2.7 minutes
5 divided by 5 = 1k
1k = 2.7 munutes
Tetsuo ran 10k in 31.9 minutes:
31.9 divided by 10 = 3.19 munites
10 divided by 10 = 1k
1k = 3.19 minutes
Answer: Theo Ran the Fastest and all the writing above is the resoning.
