Answer:
(a) Step 2. 9x -12 = 13 +2x
Step-by-step explanation:
The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.
In Step 2 of this "solution", the factor of 3 is erroneously <em>added</em> to each coefficent inside parentheses. It should be <em>multiplied</em>.
Correct Step 2: 9x -12 = 13 +2x
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The rest of the solution should be ...
Step 3: 9x -2x = 13 +12
Step 4: 7x = 25
Step 5: x = 25/7
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<em>Check</em>
3(3(25/7) -4) = 8 + 2(25/7) +5
3((75 -28)/7) = 13 +50/7
141/7 = 141/7 . . . . . answer checks OK
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
1.
is already defined
y = -2x + 6
2.
the slope is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
(-3, -5) and (2, 5).
x changes by +5 units (from -3 to 2), y changes by +10 units (from -5 to +5).
so, the slope is 10/5 = 2
that gives us the first part of the equation :
y = 2x + b
we get b by using the coordinates of one of the points as x and y. e.g. (2, 5)
5 = 2×2 + b = 4 + b
1 = b
so, the full line equation is
y = 2x + 1
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Answer:
Step-by-step explanation:
1. 
2. 
3.
2y+20=100
2y=80
y=40
The explanation for this would because because the two base angles of an isosceles triangle are equal so since the both equal to 40 degrees, in total would be 80 degrees.
Since the total degrees of a triangle is 180 and you know the base angles make up for 80 percent you subtract that from the total of the angle your trying to find, which is 2y+20.
