Answer:B cos 29°, sin 61° since,cos(x)=sin(90°-x) or sin(x)=cos(90°-x)
Answer:
y = -4/5x - 0.8
Step-by-step explanation:
A(-6, 4)
B(4, -4)
Find slope using the two points above:
m = (y₂ - y₁) / (x₂ - x₁)
= (-4 - 4) / (4 - (-6))
= -8 / 10
m = -4/5
Find y-intercept using m from above and anyone point, let's use (-6, 4):
y = mx + b
4 = -4/5(-6) + b
4 = 24/5 + b
b = -0.8
Use m and b from above to form equation of line:
y = mx + b
y = -4/5x - 0.8
1- increase (0,4) (0,oo) decrease= (4,0)
2. Max- 4 min-0
3. (-2,0) (1,0)
4. Domain [-2,oo) range [0,oo)
The solution to the problem is as follows:
x = log (25) (125)
125 = 25^x
log 125 = x log 25
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x = 3/2
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Answer:
D
Step-by-step explanation:
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D