Answer:
![y = -3](https://tex.z-dn.net/?f=y%20%3D%20-3)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Step-by-step explanation:
![3x + 2y = 0](https://tex.z-dn.net/?f=3x%20%2B%202y%20%3D%200)
![x - 5y=17](https://tex.z-dn.net/?f=x%20-%205y%3D17)
to use the elimination you have to make one of the numbers same
so
![3(x-5y=17)](https://tex.z-dn.net/?f=3%28x-5y%3D17%29)
and you would have to change the sign so that both of the 3x could cancel out.
New system of equation
![3x + 2y = 0](https://tex.z-dn.net/?f=3x%20%2B%202y%20%3D%200)
![-3x+15y=-51](https://tex.z-dn.net/?f=-3x%2B15y%3D-51)
![17y=-51](https://tex.z-dn.net/?f=17y%3D-51)
![y = -3](https://tex.z-dn.net/?f=y%20%3D%20-3)
so we know the y value so now you could find the x value take one equation
![x - 5y=17](https://tex.z-dn.net/?f=x%20-%205y%3D17)
![x +15=17](https://tex.z-dn.net/?f=x%20%2B15%3D17)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
you could try it with both of the equations
![3x + 2y = 0](https://tex.z-dn.net/?f=3x%20%2B%202y%20%3D%200)
![3x + - 6=0](https://tex.z-dn.net/?f=3x%20%2B%20-%206%3D0)
![3x-6=0](https://tex.z-dn.net/?f=3x-6%3D0)
![3x=6](https://tex.z-dn.net/?f=3x%3D6)
![x=6/3](https://tex.z-dn.net/?f=x%3D6%2F3)
![x=2](https://tex.z-dn.net/?f=x%3D2)
Although there is no picture, I will assume this is a triangle we are talking about since the terms base and height are being used. If that is the case, the height is roughly 38.72in.
To find this, we will use the area of a triangle formula.
1/2bh = a ---> plug in known values.
1/2(12.6)(h) = 244 ---> multiply to simplify
6.3(h) = 244 ----> divide both sides by 6.3
h = 38.73
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
Answer:
53lbs.
Step-by-step explanation:
If Kevin bought 3 20lbs. Bags of gravel he would have 60 lbs. of gravel. In the end he has 7 lbs. of gravel left he used 53 pounds.
Equations:
7+x=60 or 60-7=53 lbs.
Answer:
Its when you add angles together
Its when two angles are congruent
Step-by-step explanation: