MATHEMATICS
COLLEGE

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)

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)

Answer:

Answer:

• Compute the value of each expression.

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

Step-by-step explanation:

HIGH SCHOOL

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~

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~

MIDDLE SCHOOL

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

Yes correct

MIDDLE SCHOOL

Round off 43,876,503 to the nearest thousand

Answer: 43,877,000

Hoped that helped♡♡

Hoped that helped♡♡

HIGH SCHOOL

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

add 9/2 to both sides

-1/2=b

the equation is

y=-1/2x-1/2

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

add 9/2 to both sides

-1/2=b

the equation is

y=-1/2x-1/2