# Use distributive property to write two expressions that are equivalent to 12 + 30x. describe th steps you follow to find the expression

Answer: We ca write 12+30x as
1) 12+30x =6*2 + 2*15x = 2(6+15x)
2) 12+30x  = 6*2 + 6*5x = 6(2+5x)
3) 12+30x  = 3*4 + 3*10x = 3(4 + 10x)

• Compute the value of each expression.

• Compare the values. If they are equal, the expressions are equivalent.

Step-by-step explanation:

## Related Questions

What two numbers add up to 45 and multiply and get 121

Let the two numbers be x and y.

We have x+y=45
⇒ y= 45-x.

The two numbers multiply and get 121, so we have another equation:
x*y = 121 (1)

Plug y= 45-x in (1), we have:
x* (45-x)=121
⇒ 45x - x^2 = 121 (distributive property)
⇒ x^2 - 45x = -121 (multiply -1 on both sides)
⇒ x^2- 45x + 121= 0
⇒ x= 42.128 or x= 2.872

y= 45- 42.128= 2.872
or y= 45- 2.872= 42.128.

Because it does not matter what number, x or y, is larger, the two numbers are 2.872 and 42.128.

Hope this helps~

There are 187 new students this year at Maple Elementary. what is 187 rounded to the nearest ten ?

187 rounded to the nearest ten would be 190
187 rounded to the nearest ten will be 109
Yes correct

Round off 43,876,503 to the nearest thousand

Hoped that helped♡♡

Please help me. show all work: from the line y-2x-10 find the equation of the line that is perpendicular to this line and goes through the point (9,-5)

Not sure if y-2x=10 or y-2x=-10

I'll solve both
later you will see that 10 or -10 is irrelevant

find slope first since perpendicular lines have slopes that multiply to -1
the slope from form ax+by=c is -a/b
-2x+y=?
slope=-(-2)/1=2

perpendicualr
2 times what=-1
what=-1/2

y=mx+b
m=slope
we know slope is -1/2
y=-1/2x+b
find b
subsitut eht point (9,-5)
(x,y)
x=9 and y=-5
-5=-1/2(9)+b
-5=-9/2+b