Answer:
x=1
y=-1
Step-by-step explanation:
they have already isolated y in both equations
label both equations
y=-x............1
y=3x-4........2
sub 1 into 2
-x=3x-4
-x-3x=-4
-4x=-4
x=1........ 3
sub 3 into 1
y=-(1)
y=-1
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
</span>

Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:

We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Answer:
x=5
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
The box is a right angle which is 90 degrees
60+6x+90 = 180
Combine like terms
150+6x= 180
Subtract 150 from each side
150-150+6x = 180-150
6x = 30
Divide by 6
6x/6 =30/6
x = 5
its 14n+21. 7×2n is 14n, and 3×7 is 21