We can answer this question by solving each equation for one variable, and then substituting.
3x + y = 11 Given
y = -3x + 11 Subtract 3x from both sides
This equation is now solved for y. Now, let's do the other equation. Make sure to solve it for the same variable.
-2x + y = 1 Given
y = 2x + 1 Add 2x to both sides
Now, let's set both equations equal to each other, since they both equal y.
2x + 1 = -3x + 11 Set both equations equal to each other
1 = -5x + 11 Subtract 2x from both sides
-10 = -5x Subtract 11 from both sides
2 = x Divide both sides by -5
Now, let's substitute x in for one of the equations we found earlier, so that we can find y.
y = 2x + 1 Given
y = (2)(2) + 1 Substitute the x-value, 2
y = 4 + 1 Multiply
y = 5 Add
So, x = 2 and y = 5.
Hope this helps!
Answer:
45 degrees
2 units
Step-by-step explanation:
A rotation is an Isometry so therefore the 45-45-90 Triangle is the exact same size and shape after the rotation.
Element of Circle
the central angle (α) = (the length of the arc x 360°)/2πr (r = radius)
convert to rad:
Answer:
1.0 mph
Step-by-step explanation:
so there are 60 minutes in an hour
you need to find what her speed is per hour
right now it is per minute
so multiply her current speed by 60
88*60=5280
there are 5280 feet in a mile.
Her current speed is 1 mile per minute
rounded to the nearest tenth of a mile is
1.0 mph