Answer:
21 weeks.
Step-by-step explanation:
To start, you have to get the pounds lost per week.
12/3=4
4 pounds lost per week.
Next, find out how many weeks it takes by solving this equation,
4x=84
Divide 84/4=21
Therefore, it took 21 weeks to lose 84 pounds.
Answer:
The answer is
±
in exact form or
,
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring
, which will look like
. Next, simplify the equation again, which will look like
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:



The next step is to substitute the values
,
, and
into the quadratic formula and solve. The quadratic formula will look like
. To simplify the equation, start by simplifying the numerator, which will look like
. Then, multiply 2 by 1 and simplify the equation, which will look like
. The final answer is
±
in exact form. In decimal form, the final answer is
,
.
Answer:

Step-by-step explanation:
Given

Required
Fill in the gaps
Going by the given parameters, we have that

, when factorized is 
Hence; the expression becomes

Combine Fractions

Simplify the denominators

By direct comparison


Hence, the complete expression is

Answer:
Step-by-step explanation:
∠A + ∠B = 90° {given they are complementary}
5x+ 15 + 30 = 90
5x + 45 = 90
5x = 90 - 45
5x = 45
x = 45/5
x = 9