Keywords:
<em>Product, factors, polynomial, distributive property
</em>
For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: 
So:
Thus, the product of 
is: 
Answer:
The product of is:
Answer:
9. m(YZ) = 102°
10. m(JKL) = 192°
11. m<GHF = 75°
Step-by-step explanation:
9. First, find the value of x
4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)
Collect like terms
4x - 3x = -3 + 15
x = 12
4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
4(12) + 3 = ½(m(YZ))
48 + 3 = ½(m(YZ))
51 = ½(m(YZ))
Multiply both sides by 2
51*2 = m(YZ)
102 = m(YZ)
m(YZ) = 102°
10. First, find the value of x.
7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)
Add like terms
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
7(13) + 5 = ½(m(JKL))
96 = ½(m(JKL))
Multiply both sides by 2
2*96 = m(JKL)
m(JKL) = 192°
11. First, find x.
5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Multiply both sides by 2
2(5x + 15) = 11x + 18
10x + 30 = 11x + 18
Collect like terms
10x - 11x = -30 + 18
-x = -12
Divide both sides by -1
x = 12
m<GHF = 5x + 15
Plug in the value of x
m<GHF = 5(12) + 15
m<GHF = 60 + 15
m<GHF = 75°
Answer:
She gained 5 points in overall
Step-by-step explanation:
Shana lost points for each wrong question = 2
So, She lost points for 5 wrong questions =
She lost points for 5 wrong questions = 10 points
Now, She gained points for each correct question = 5
So, She gained points for 3 correct questions =
She gained points for 3 correct questions =15
So, Overall gain = 15-10 = 5
She gained 5 points in overall
Hence the total number of points gained by her is 5 points
Answer:
Worked 40 hrs in week
Pay $300 for week
Step-by-step explanation:
Hours: 7-11a.m = 4
12-4p.m = 4 So, 4+4=8 hrs per day
So, 8 hrs per day × 5 days a week (8×5)=40
Worked 40 hrs in week
Pay: $7.50/hr So, $7.50×40 hrs (7.50×40)=300
So, $300 pay for week
Answer:
no
Step-by-step explanation:
