Answer:
point-slope form: y - 1 = -4/5(x - 8)
slope-intercept form: y = -4/5x + 7.4
Step-by-step explanation:
Find slope using the points (8, 1) and (-2, 9):
m = (y₂ - y₁) / (x₂ - x₁)
= (9 - 1) / (-2 - 8)
= 8 / -10
m = -4/5
Find y-intercept using slope m from above and anyone of the given points, let's use (8, 1):
y = mx + b
1 = -4/5(8) + b
1 = -6.4 + b
b = 7.4
Use slope m and y-intercept b above to form equation of line in slope-intercept form:
y = mx + b
y = -4/5x + 7.4
For point slope form use slope m from above and a point, again let's use (8, 1):
y - y₁ = m(x - x₁)
y - 1 = -4/5(x - 8)
Answer:
x=49.0
Step-by-step explanation:
Hi there!
In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.
In this situation, we can use the sine ratio:

Plug in the known information

Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.
I hope this helps!
Answer:
Step-by-step explanation:
A. 2x+3y+z
X = -2
Y= -3
Z= 5
2(-2)+3(-3)+5
-4-9+5
=8
B. X-Y
-2–3
-2+3
=1
C. 2(x+y/z)
2(-2-3/5)
2(-1)
=-2
D. 3x^2-2x+1
3(-2)^2-2(-2)+1
3(4)+4+1
=17
E.3y(x+x^2-y)
3(-3)(-2+-2^2-(-3))
-9(1)
=-9
F.-z^2(1-2x)/y-x
5^2(1-2(-2)/-3–2
25(5/5)
25(1)
=25
Tia is correct because she used PEMDAS
16 - 8 ÷ 8
= 16 - 1
= 15
Therefore, Tia is correct & the answer is 15
-AaronWiseIsBae
Answer:
12.56
Step-by-step explanation:
87.95 divided by 7