Answer: Multiply the number(s) outside the parenthesis by the numbers inside the parenthesis. The distributive property is expressed in math terms as the following equation: a(b + c) = ab + ac.
Step-by-step explanation:
2(3 + 4) - 12 Multiply 2 times 3 first.
2 x 3 = 6.
Then multiply 2 times 4.
2 x 4 = 8.
Remember our equation earlier? a(b + c) = ab + ac.
In this case, 2 is a, 3 is b, and 4 is c.
So 2[a](3[b]+4[c]) = 2[a](3)[b] + 2[a](4)[b].
Let's rewrite this in a way that can be read better.
2(3+4) - 12 = 2(3) + 2(4) - 12.
2(3+4) - 12 = 6 + 8 - 12.
2(3+4) - 12 = 14 - 12.
2(3+4) - 12 = 2.
Hope this helped! :)
Answer:
The two numbers are - 12 and - 12 .
Step-by-step explanation:
Let the two numbers be x and y then
By the question
x * y = 144
or x = 144 / y ....... I)
Again
x + y = - 24
Or 144/y + y = - 24
or, ( 144 + y²) / y = - 24
or, 144 + y² = - 24y
y² + 24y + 144 = 0
y² + ( 12 + 12 ) y + 144 =0
y² + 12y + 12y + 144 = 0
y(y + 12 ) + 12 ( y + 14) = 0
( y + 12 ) ( y + 12 ) = 0
Either
y + 12 =0
y = - 12
Now
x = 144 / - 12 = - 12
Therefore the two numbers are - 12 and - 12 .
Hope it will help :)❤
Answer:
The formula for the volume of a cube is-
side length^3.
For your problem side length=4, so the answer is 4^3=64
Answer: 64 cu. cm
Step-by-step explanation:
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
![y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{5}}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=y%3D%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B-%5Ccfrac%7B2%7D%7B5%7D%7Dx-1%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for the equation of a line whose slope is 5/2 and it passes through (-2 , 14)
