Answer:
D. (2, 6)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
The solution set of the systems would be where the 2 lines intersect. We see from the graph that our 2 lines intersect at (2, 6). Therefore, our solution set would be D. (2, 6).
Answer:
5/6(1/2x)+5/6(6)-3x
-31x/12+5/12-3x
-3x+5/12+5
Step-by-step explanation:
Step-by-step explanation:
According to PEMDAS parentheses are first.
2(6+1) can be simplified to 12+2.
5(3+2) can be simplified to 15+10
Add these two together.
12+2+15+10
14+15+10
29+10
y=39
Note - when you have something like this in math 2(6+1) it means you need to do 2 x 6 and 2 x 1
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
Answer:
The values of sin θ and cos θ represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos θ finds the unknown leg, and then all other trigonometric values can be found.
