21.
So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be:
, or A.
22.
So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:

Now the rule with converting negative exponents into fractions is
. In this case, 4^-2 would turn into
, or C, which is your final answer.
Step-by-step explanation:
thr standard form for a quadratic equation is:
ax²+bx+c
in this example, a=1, b=(-1), c=(-42)
Answer:
12 and 7 meters
Step-by-step explanation:
The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.
The length is 12 and the width is 7
Answer:
A(...; 7)
x =-1/5
B(8; ...)
y = 48
The slope is 5
Step-by-step explanation:
y−5x=8
A(...; 7)
We know that y=7, we need to find x
7 - 5x = 8
Subtract 7 from each side
7-7 -5x = 8-7
-5x =1
Divide by -5
-5x/-5 = 1/-5
x =-1/5
B(8; ...)
We know x = 8 we need to find y
y−5x=8
y - 5(8) = 8
y - 40 =8
Add 40 to each side
y-40+40 = 8+40
y = 48
Now we need to find the slope
y - 5x =8
Add 5x to each side
y -5x+5x = 5x+8
y = 5x+8
This is in the form y = mx+b where m is the slope
The slope is 5
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