<u>Using y = mx + b</u>
8y = 4x - 16 ⇒ y = - 2
-x = -2y - 4 ⇒ 2y - x = - 4 ⇒ 2y = x - 4 ⇒ y = - 2
Since the equations have the same slope () and y-intercepts (-2), then they are the same line. Thus, they intersect at every point so have infinite solutions.
Answer: A
Answer:
n=10
Step-by-step explanation:
Let's remember that when exponents have the same base (here it is 2), we add the exponents. Therefore, 2^(2+n)=(2^4)^3
Now we will rewrite as 2^(2+n)=2^(4*3) = 2^(2+n)=2^12
Now we have the same base of 2, so we can get rid of them and we have
2+n=12
subtract 2 from both sides: n=10
Answer:
B. 24 units
B. (-2 , -1)
D . A(-5, 3), B(-2 , 3), C(3, -3), D(-7, 3)
Step-by-step explanation:
AC = 8, AB = 6
BC = √(8^2 + 6^2)
BC = √100
BC = 10
Perimeter = 10 + 8 + 6 = 24 units
-----------------
Area of triangle = 1/2 bh
4 = 1/2 (4) h
4 = 2 h
h = 2
remaining vertex (-2, -1)
------------
Coordinate points of trapezoid
D . A(-5, 3), B(-2 , 3), C(3, -3), D(-7, 3)
Answer:
58
Step-by-step explanation:
All three angles of a triangle have to add up to 180. Given this we can do the following problem:
180-34-88 = 58
Answer:
The mean of the measurements is 91.17.
Step-by-step explanation:
The mean is the sum of all measurements divided by the number of measurements.
For this problem, we have that:
The sum of all 100 measurements was 9117.0.
So, the sum of all measurements is 9117.
The number of measurements is 100.
So:
The mean of the measurements is 91.17.