Answer:
x=1, y=1. (1, 1). The answer is D).
Step-by-step explanation:
3x-5y=-2
4x-7y=-3
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4(3x-5y)=4(-2)
-3(4x-7y)=-3(-3)
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12x-20y=-8
-12x+21y=9
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y=1
3x-5(1)=-2
3x-5=-2
3x=-2+5
3x=3
x=3/3
x=1
Answer:
D
Step-by-step explanation:
The basic equation to solve this would be D = RT, which is
D is Distance
R is Rate (speed)
T is time
To find total distance D, we can find individual distances for two legs of the whole.
First Leg:
R = 8
T = a
D = 8a
Second Leg:
R = 7.5
T = b
D = 7.5b
Total distance D is:
D = 8a + 7.5b
Moreover, we know student runs 45 minutes in total hence a + b = 45 or we can say a = 45 - b, so we can replace this in the equation found:
D = 8a + 7.5b
D = 8(45 - b) + 7.5b
Answer choice D is right.
Answer:
9.000000001
Step-by-step explanation:
If the hypotenuse is 15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.
sin of angle is opposite / hypotenuse
sin of angle is 12 / 15
12/15 = 0.8
sin^-1 of 0.8 = 53.13010235
Angle is that
Then we do this again but a different equation
cos of angle is adjacent (x which we are looking for) / hypotenuse
cos of 53.13... is x / 15
(15 x cos of 53.13... )is x
So 15 x cos of 53.13... is 9.000000001 feet away.
X= 0 (multiplicity of 1)
X= -2 (multiplicity of 1)
X= 2 (multiplicity of 2)
