Answer: The large ____ holds 48 units.
For the diagram you could draw the small rectangle 4 squares wide and 9 squares long. that will represent something that holds 36 units.
For the large one make it 4 squares wide and 12 squares long. That will have spaces for 48 units.
Step-by-step explanation: Change the percent to a decimal and set up the equation that means 36 is 75% of some number, yet unknown, X is the unknown number.
36 = .75x divide both sides by .75
36/.75 = .75x/.75 . The .75 "cancels" on the right. Then use a calculator.
36 ÷ .75 = 48
x = 48
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
Answer:
-5x+7y+7
Step-by-step explanation:
3х + 9y - 8x - 2y +7 can be written like the equation below to help solve it
3x-8x+9y-2y+7
=-5x+7y+7
Answer
Slope: -2
Step-by-step explanation:
Perpendicular slope is the negative reciprocal of the original slope.
The original slope was 1/2. Flip it. 2/1=2. Now change the sign to -2.
