Answer: 18w^2 - 6w + 4
Explanation:
(4 + 7w^2) - (6w - 11w^2)
= 4 + 7w^2 - 6w + 11w^2
= 18w^2 - 6w + 4
X=1/3
Distribute 8 through the parentheses
8-40x+5=-2+5x
Add the numbers
13-40x+5=-2+5x
Answer: x=1/3
Answer:
x= 5/4 ; y= -7/4
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
3x+y=2;5x−y=8
Step: Solve3x+y=2for y:
3x+y+−3x=2+−3x(Add -3x to both sides)
y=−3x+2
Step: Substitute−3x+2foryin5x−y=8:
5x−y=8
5x−(−3x+2)=8
8x−2=8(Simplify both sides of the equation)
8x−2+2=8+2(Add 2 to both sides)
8x=10
8x
8
=
10
8
(Divide both sides by 8)
x=
5
4
Step: Substitute
5
4
forxiny=−3x+2:
y=−3x+2
y=−3(
5
4
)+2
y=
−7
4
(Simplify both sides of the equation)
Answer:
x=
5
4
and y=
−7
4
Answer:
m∠EGC=70°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite
so
m∠EGC=(1/2)[arc EC+arc DF]
<u><em>Find the value of x</em></u>
we have
m∠EGC=(7x+7)°
arc EC=50°
arc DF=10x°
substitute and solve for x
(7x+7)°=(1/2)[50°+10x°]
14x+14=50+10x
14x-10x=50-14
4x=36
x=9
<u><em>Find the measure of angle EGC</em></u>
m∠EGC=(7x+7)°
substitute the value of x
m∠EGC=(7(9)+7)°=70°
Answer:
rational
Step-by-step explanation:
since 2.72135 is finite (has an ending), it can be written as a fraction, meaning it is rational.