Answer :
3 x (4 + 6) = (3 x 4) + (3 x 6)
Explanation :
(4 + 6) = 10 x 3 = 30
Answer:
y = -1/2x -3
Step-by-step explanation:
The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.
Slope is Rise over Run or difference of the y values over the difference of the x values.
Rise = difference between -6 and -2 = 4
Run = difference between 6 and -2 = 8
So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2
To find the y intercept, use the slope-intercept form equation:
y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.
-6 = -1/2(6) + b OR -2 = -1/2(-2) + b
-6 = - 3 + b -2 = 1 + b
-3 = b -3 = b
Now you can use your calculated slope and calculated b to form your equation.
y = mx + b
y = - 1/2x -3
Answer:
1356 cm²
Step-by-step explanation:
Each dimension gets multiplied by 2, so the new dimensions are
changed from 2x8x7 to 6x24x21
There are 6 faces to the prism,
The area of the front and back are 6x21 = 126. There are 2 of them for a total area of 126x2 = 252 cm²
The are of the left and right sides are 24x21 = 504. There are 2 of them for a total area of 504x2 = 1008 cm²
The area of the top and bottom are 6x24 = 144, there are 2 of them for a total area of 144x2 = 288 cm²
The total surface area is 252 + 1008 + 96 = 1356 cm²
Answer: y = 2x - 13
Step-by-step explanation: Start with the formula y=mx+b. Remember that the slope of the parallel line, m, is the same. Now you have y = 2x + b. You can find b, the y intercept, knowing that the line passes through the point given: -1 = (2) * 6 + b. So now we see that b = -13.
Answer:
Month 5 the cost will be the same
Step-by-step explanation:
Make to equations from the given information
Let y be the cost, and let x be the number of months
Club A: y = 25x + 100
Club B: y = 20x + 200
It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve..
25x + 100 = 20x + 200
5x = 100 (subtract 20x and 100 from both sides)
x = 20 (divide both sides by 5)
So after 5 months the cost will be equal,
