Step-by-step explanation:
Remember to isolate the variable for each question. Note the equal sign, what you do to one side, you do to the other.
1) 4 + x = 8
Subtract 4 from both sides
4 (-4) + x = 8 (-4)
x = 8 - 4
x = 4
D) x = 4 is your answer
2) -2x ≤ 6
Note that when dividing or multiplying a negative number, you must flip the sign. Isolate the variable (x).
(-2x)/-2 ≤ (6)/-2
x ≥ 6/-2
x ≥ -3
A & B are the same, so you'll have to ask the teacher which one was supposed to have a negative 3
3) Remember to do the opposite of PEMDAS. First subtract, then multiply. Again, isolate the variable (x).
x/2 + 3 = 5
x/2 + 3 (-3) = 5 (-3)
x/2 = 5 - 3
x/2 = 2
(x/2)(2) = 2(2)
x = 2 * 2
x = 4
A) x = 4 is your answer
4) Remember to do the opposite of PEMDAS. First subtract, then divide. Again, isolate the variable (x).
7x + 6 = 20
7x + 6 (-6) = 20 (-6)
7x = 20 - 6
7x = 14
(7x)/7 = (14)/7
x = 14/7
x = 2
D) x = 2 is your answer
5) You are solving for x. Note that there are two variables, however, you don't need to worry too much about the second variable (<em>a</em>), just know that you cannot combine (using addition or subtraction) a number with variable and a constant (a number without).
First, subtract 8a from both sides:
2x + 8a (-8a) = 10 (-8a)
2x = 10 - 8a
Next, divide 2 from both sides to isolate the variable (x):
(2x)/2 = (10 - 8a)/2
x = (10)/2 (-8a)/2
x = 5 - 4a
D) x = 5 - 4a is your answer
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I believe you're asking about the one-sided limit,
Recall the definition of absolute value:
• if
• if
Since we're approaching -4 from the left, we're effectively focusing on a domain of or . So, by the definition above, we have . Then in the limit, we have
180 miles because 45 minutes is three quarters of an hour so you multiply 3.75hrs times 48mi which equals 180 miles.
Answer:
length of the legs is
Step-by-step explanation:
the both sides of the length of the legs of a right triangle are equal
So it form a isosceles triangle 45- 45- 90 degree triangle
the ratio of 45-45-90 degree triangle is
xsqrt(2) is the side opposite to 90 degree
so
Divide both sides by square root (2)
multiply square root (2) at the top and bottom
length of the legs is
Easily done! Just do -56 divided by -7 but just remember two negatives equal a positive. So your answer would be 8!