Apply the distributive property to factor out the greatest common factor. 14k + 35

Mathematics

1 answer:

tino4ka555 [31]3 years ago

4 0

Answer:

$7\left(2k+5\right)$

Step-by-step explanation:

$14k+35$

$35=7*5$

$14=7*2$

$7\left(2k+5\right)$

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Solve using substitution method x-y=11;3x+10y=-6<br> explain please

Tatiana [17]

Ok so for starters you want to choose an equation and solve for a variable.
So, I am going to choose x from the first equation.
Add y to both sides and you get x=11+y
Next, substitute 11+y for x in the other equation so you get...
2(11+y) +10y=-6
Next distribute the 2 throug the 11 and the y
22+2y+10y=-6
12y=-28
y=-28/12
reduce this fraction to make this easier.
y=-7/3
Now plug in why to either of the equations to find x
x-(-7/3)=11
x+7/3=11
x=11-(7/3)
x=(33/3)-(7/3)
x=26/3
so x = 26/3 and y = -7/3
you can also check to see if this is correct by substituting each of these values into the equations.

6 0

3 years ago

How do I answer this question?

Novay_Z [31]

Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,

180 = m<1 + m<2 + m<3

180 - m<3 = m<1 + m<2

But, we also know that m<4 + m<3 = 180 degrees.

180 = m<3 + m<4

180 - m<3 = m<4

Both m<4 and m<1 + m<2 equals 180 - m<3

m<4 = m<1 + m<2