The answer is C because an angle is determined by the letter in the middle. It is given that a is smaller than b and c=90
Answer:
y = -2x +15
Step-by-step explanation:
The point-slope form of the equation for a line through (h, k) with slope m is ...
... y - k = m(x - h)
For your point (h, k) = (5, 5) and slope m = -2, the equation in point-slope form is ...
... y - 5 = -2(x - 5)
Simplifying, we get
... y - 5 = -2x +10
Adding 5 puts the equation into slope-intercept form, as you want.
... y = -2x +15
Answer:
Step-by-step explanation:
|4x-3|=5√(x+4) ⇔ |4x-3|²=5²(√(x+4))² and x+4 ≥ 0
⇔ (4x-3)² = 25(x+4) and x+4 ≥ 0 ( because : /a/² = a²)
⇔16x²-24x+9 = 25x +100 and x+4 ≥ 0
⇔ 16x² -49x - 91 =0 and x+4 ≥ 0 quadratic equation
Δ = (-49)²-4(16)(-91) = 8225
two solution : X1 = (49-√8225)/32 ≅ - 1.3 accept (-1.3+4 ≥ 0)
X2 = (49+√8225)/32 ≅4.37 accept (4.37+4 ≥ 0)
Answer:
Haircuts cost $50.33
Hair Color costs $80.33
Step-by-step explanation:
Let haircut be cost "a"
coloring be cost "b"
2 haircut, 4 coloring equals 422, we can write:
2a + 4b = 422 {Equation 1}
5 haircut, 4 coloring, equals 573, we can write:
5a + 4b = 573 {Equation 2}
We now multiply equation 1 with -1 and add it with Equation 2 to get:
-1(2a + 4b = 422) = -2a - 4b = -422
Now,
-2a - 4b = -422
5a + 4b = 573
----------------------
3a = 151
a = 151/3 = $50.33
Now, to find b, we plug in this value into any equation and solve for b:
2a + 4b = 422
2(50.33) + 4b = 422
4b = 422 - 100.66
b = $80.33
Haircuts cost $50.33
Hair Color costs $80.33
The perimeter is 40 cm. You would take the square root of 100 which is 10. 10 would be the length of each side since it is a square and all sides are equal.
