Let's remember orders of operations as we go through the craze of this problem.
We need to multiply or divide from left to right.
3w-6w+3w×7×7×6×5÷9+2
3w-6w+21w×7×6×5÷9+2
3w-6w+147w×6×5÷9+2
3w-6w+882w×5÷9+2
3w-6w+4,410w÷9+2
3w-6w+490w+2
-3w+490w+2
487w+2
To check that we simplified the expression right, I like to put in 1 for w and test it in the original expression and then the simplified expression (not needed).
487+2=489
3-6+3×7×7×6×5÷9+2=489
So that expression equals 487w+2.
Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
Answer:
y= -2x
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
subst. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a coordinate.
When x= -4, y=8,
8= -2(-4) +c
8= 8 +c (expand)
c= 8-8 (-8 on both sides)
c=0 (simplify)
Thus, the equation of the line is y= -2x.
Answer:
yeah
Step-by-step explanation:
its basically looks good, if your teacher gives a bad grade than idk, but looks about right :)