I need help with this
2 answers:
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Answer:
B.
Step-by-step explanation:
To simplify something that looks like you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had , then you would multiply top and bottom the conjugate of
which is
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of is
.
This is the thing we are multiplying and top and bottom.
Answer:
They will each have saved $70.
Jessica is saving at a faster rate than Raphael.
The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.
Step-by-step explanation:
The formula for Jessica’s savings is
y = 10x + 20
She is saving at the rate of $10/wk .
From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.
The formula for Raphael’s savings is
y = 6x +40
When the two savings are equal
10x + 20 = 6x + 40 Subtract 20 from each side
10x = 6x + 20 Subtract 6x from each side
4x = 20 Divide each side by 4
x = 5
Their savings will be equal after five weeks.
=====
After five weeks , Jessica will have saved
y = 10×5 + 20
y = 50 + 20
y = $70
Raphael has also saved $70.
=====
Jessica is saving at a faster rate than Raphael.
She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.
The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.
The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.
we know that
In the right triangle ABC
∠∠
------> by complementary angles
so
Step
Find the measure of angle B
we know that
in this problem
so
Step
Find the measure of angle A
therefore
the answer is the option
35.5° and 54.5°