Answer:
x=3, y=8; (3,8)
Step-by-step explanation:
To use the substitution method, first solve for a variable.
2x+y=14
2x+y(-2x)=14(-2x)
y=14-2x
Now substitute y in the other equation with 14-2x
5x-2(14-2x)= - 1
Simplify by multiplying inside the parenthesis.
5x-28+4x= - 1
Combine the x values
9x-28= - 1
9x=27
x=3
Now substitute the x value in to solve for y
2(3)+y=14
6+y=14
y=8
Answer:
rhombus
Step-by-step explanation:
It is helpful to plot the points on a graph. There, you can see that the rise and run of each segment are 1 and 4 (or vice versa). This tells you they are the same length, but not perpendicular.
A quadrilateral with all sides the same length, but not perpendicular, is a rhombus.
Answer:
With alpha 0.95 and 8 degrees of freedom χ²= 2.73
And with alpha 0.05 and 8 degrees of freedom χ²=15.51
Step-by-step explanation:
The significance level ∝ = 1- 0.9 = 0.1
But we need the area of the middle so we divide this significance level with 2
so that we get exactly the middle area .
Dividing 0.1/2= 0.05
So we will have two values for chi square
One with 0.9 + 0.05 = 0.95 alpha and one with 0.05 alpha . This is because the chi square is right tailed.
So with alpha 0.95 and 8 degrees of freedom χ²= 2.73
And with alpha 0.05 and 8 degrees of freedom χ²=15.51
This can be shown with a graph.
k-3+3<5+3 is the explanation and the answer is k<8
Answer:
n = -1
Step-by-step explanation:
Guess your question is to find n
Given:
-6 + 3n = -9
-6 + 3n = -9
Add 6 to both sides
-6 + 6 + 3n = -9 + 6
3n = -3
Divide both sides by 3
n = -3 / 3
= -1
n = -1
Check:
-6 + 3n = -9
-6 + 3(-1) = -9
-6 - 3 = -9
- 9 = - 9