Answer:
-5xy²(3x-5)is your answer
Answer:
hope this helps
Step-by-step explanation:
Angle _1_and angle _4_ are vertical angle pairs.
Angle _4_ and angle _5_ are an alternate interior pair.
Angle _2_ and angle _6_ are alternate exterior pair.
Angle _1_ and angle _2_ are a linear angle pair.
Angle _2_ and angle _7_ are corresponding angle pair.
Solve the equation for
x
x
by finding
a
a
,
b
b
, and
c
c
of the quadratic then applying the quadratic formula.
Exact Form:
x
=
−
7
±
√
13
6
x
=
-
7
±
13
6
Decimal Form:
x
=
−
0.56574145
…
,
−
1.76759187
A.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90
b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
<span>If:
3j + 5p = 7.60
</span><span>j = 2.90 - 2p
</span>Then:
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10
If:
<span>j = 2.90 - 2p
</span><span>p = 1.10
</span>Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70
Thus, the price of a glass of juice is $0.70 and <span>the price of a pancake special is $1.10.
c.
If:
p = 1.10
j = 0.70
Then:
j + p = 1.10 + 0.70 = 1.80
Thus, </span><span>the bill for 1 glass of orange juice and 1 pancake special is $1.80.</span>
Option a: 
is the length of b
Explanation:
The angle of B is 
and 
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,
Thus, the angle of A is
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,
where , ,
Thus, we have,
Simplifying, we get,
Multiplying both sides by 0.866, we get,
Multiplying the numerator, we have,
Dividing, we get,
Thus, the length of b is 
Hence, Option a is the correct answer.
