"Isolate the constant by adding 7 to both sides of the equation."
This step separates the non-squareable 7 and the squareable
.
"Add 9 to both sides of
to form a perfect square trinomial while keeping the equation balanced."
After separating the non-squareable, add the number which makes the first or left side a perfect square trinomial. The formula to find the number is:
.
When we plug the values:
Simplify:
"Write the trinomial
as
squared."
When you factor
, you will get
.
"Use the square root property of equality to get
."
The 16 is coming from the part when we add 9. We needed 9 on the left side for a perfect square, but to protect the balance of the equality, we need to add 9 to the right side too. When we add 7 and 9, we got 16, and that is where it came from.
"Isolate the variable x to get solutions of -1 and 7."
To isolate x we branched the plus-minus sign:
Answer:
B
Root of 27 will be 9×3. Which will be 3 root 3
C. A three-foot submarine sandwich is cut into eight equal portions.
3/8 represents 3 divided by 8. In scenario C, the sub starts at 3 feet and is cut (or divided) into 8 pieces. This represents 3 divided by 8, as shown by the fraction 3/8.
The other scenarios all show 8 divided by 3, which would be the fraction 8/3, which is not what we are looking for.
Answer:
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Answer:
The value of <em>x</em> is 50°.
Step-by-step explanation:
Complementary angles are two angles whose sum is 90°.
One of the complementary angles is, 60°.
And the other is, (x - 20°).
Compute the value of <em>x</em> as follows:
Complementary 1 + Complementary 2 = 90°
60° + (x - 20°) = 90°
(x - 20°) = 30°
x = 50°
Thus, the value of <em>x</em> is 50°.