Parallel lines have the same slope
Find the slope of points A and B
(y2 - y1)/ (x2-x1)
(5-(-5))/(-1-(-2)) = (5+5)/(-1+2) = 10/1
The slope of the points is 10
In the equation
y = 10x + 12
Y = mx + b, m indicating slope
The slope of the equation is also 10
Because both slope is 10, the line through the points and the equation is parallel
Answer:
no
Step-by-step explanation:
-7+x^2-3x = 9+x-10
-7+(-2)^2-3*(-2) 9+(-2)-10
-7+4+6 9-12
3 > -3
if we substitute -2 to x, answer is not equal
Answer:
200 visitors went to screen 1.
125 visitors went to screen 2.
175 visitors went to screen 3.
Step-by-step explanation:
We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.
Therefore, 200 visitors went to screen 1.
Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.
Therefore, 125 visitors went to screen 2.
Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.
Therefore, 175 visitors went to screen 3.
Answer:
To find how many blocks it would take in each of these scenarios, you could find the total volume and then divide by the volume of each smaller cube.
1. 3/7 x 3/7 x 3/7 = 27/343 cubic inches
1/7 x 1/7 x 1/7 = 1/343 cubic inches
27/343 cubic inches divided by 1/343 cubic inches = 27 cubes.
2. 3/7 x 1/7 x 3/7 = 9/343 cubic inches
9/343 cubic inches divided into groups of 1/343 cubic inches is 9 cubes.
3. 2/6 x 2/6 x 2/6 = 8/216 cubic inches
8/216 cubic inches divided by 1/216 cubic inches is 8 cubes.
Another way to think of it would be for #1, each 3/7 of an inch would be 3 groups of 1/7, so 3 x 3 x 3 for each dimension would result in 27 cubes.
For #2, it would be 3 groups of 1/7, one group of 1/7 and another 3 groups of 1/7, so 3 x 3 is 9 cubes.
For #3 it would be 2 groups of 1/6 three times, so 2 x 2 x 2 = 8 cubes.
Step-by-step explanation:
First Equation
STEP 1: Move the variable to the right side and change its sign
3x=8-y
STEP 2: Divide both sides of the equation by 3
x=8/3 - y/3
STEP 3: Write all numerators above the common denominator
x=8-y/3
THE FINAL ANSWER IS:
x=8-y/3
Second Equation
STEP 1: Move variable to the right side and change its sign
-x= -10+2y
STEP 2: Change the signs on both sides of the equation
x=10-2y
THE FINAL ANSWER IS:
x=10-2y