Answer:
(6, - 1 )
Step-by-step explanation:
Given the 2 equations
x + 7y = - 1 → (1)
- 4x - 2y = - 22 → (2)
Rearrange (1) expressing x in terms of y by subtracting 7y from both sides
x = - 1 - 7y → (3)
Substitute x = - 1 - 7y into (2)
- 4(- 1 - 7y) - 2y = - 22 ← distribute and simplify left side
4 + 28y - 2y = - 22
4 + 26y = - 22 ( subtract 4 from both sides )
26y = - 26 ( divide both sides by 26 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = - 1 - 7(- 1) = - 1 + 7 = 6
Solution is (6, - 1 )
Here is a screen shot of what I found...hope this helps =)
Answer:
6. 12.5 cm
7. 0.7241
Step-by-step explanation:
6.
You have 2 right triangles. You can use the Pythagorean theorem for each one.
a^2 + b^2 = c^2
Let y = length of vertical side between triangles.
Left triangle:
5^2 + y^2 = 13^2
25 + y^2 = 169
y^2 = 144
y = 12
Right triangle:
3.5^2 + 12^2 = x^2
12.25 + 144 = x^2
x^2 = 156.25
x = 12.5
Answer: x 12.5 cm
7.
For <X, 2.0 ft is adj leg. 2.9 ft is hyp.
cos X = 2.0/2.9 = 0.6897
X = cos^1 0.6897 = 46.397 deg
sin X = sin 46.397 deg = 0.7241
36 cups ........................................
Yes.
y represents the temperature.
x represents the number of hours past 8:00am.
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