By reading and paying attention In class
Answer:
See step-by-step explanation
Step-by-step explanation:
Question 3: (4, -3)
Solving through elimination: Multiply the first equation by -3.
-3x+6y=-30
3x-5y = 27
Add. The x drops out.
y= -3
Substitute -3 in for y.
x-2y=10
x-2(-3)=10
x+6=10
x=4
Question 4: (2,5)
Solve through elimination: Multiply the second equation with 3.
![\frac{3}{2} x+y=8](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20x%2By%3D8)
![\frac{9}{4} x-y=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D%20x-y%3D-%5Cfrac%7B1%7D%7B2%7D)
3/2= 6/4
15/4x=7.5
x=2
3/2 (2) + y = 8
3+ y =8
y=5
Question 5: (6,4)
Use your graph to graph.
![y=-\frac{1}{3} x+6](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7D%20x%2B6)
Slope of -1/3
Y-intercept of 6 (0,6)
X-intercept of 18 (18,0)
![y=\frac{3}{2} x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x-5)
Slope of 3/2
Y-intercept of -5 (0,-5)
X-intercept of
(
,0)
Question 6: (5, -7)
![Ax+2By=-41](https://tex.z-dn.net/?f=Ax%2B2By%3D-41)
![4Ax-By=88](https://tex.z-dn.net/?f=4Ax-By%3D88)
![3A+2B(4)=-41](https://tex.z-dn.net/?f=3A%2B2B%284%29%3D-41)
![4A(3)-B(4)=88](https://tex.z-dn.net/?f=4A%283%29-B%284%29%3D88)
Solve by substitution:
Words of encouragement:
Good luck!
Answer:
In the right triangle, the side a=
and the hypotenuse c=
.
To find: the value of x
We have,
and ![c=7](https://tex.z-dn.net/?f=c%3D7)
Now,by the pythagorean theorem,
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
Substitute the values,
![{6}^{2} + {x}^{2} = {7}^{2}](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B7%7D%5E%7B2%7D%20)
![36 + {x}^{2} = 49](https://tex.z-dn.net/?f=36%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%2049)
Subtract 36 from each sides,
![{x}^{2} = 13](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%2013)
Take square root from each sides,
![x = \sqrt{13}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B13%7D%20)
Hence, the value of x is
.