Answer:
c = 24
Step-by-step explanation:
Angle c is supplementary to 146 and their sum is 180
c + 146 = 180 subtract 146 from both sides
c = 34
Answer:
Step-by-step explanation:
Any digit will work if remainders are allowed.
If you want only whole number results
9132/12 = 761
9432/12 = 786
9732/12 = 881
Answer:
Step-by-step explanation:
1/4 of 2/3 is just (1/4) / (2/3) or (1/4)(3/2)
1/4 * 3/2= 3/8
She needs to use 3/8 of a cup
We are given polynomial:
.
We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.
Let us set first factor equal to 0 and solve for x.
x+2=0
x=-2.
Plugging x=-2 in given polynomial, we get
![5(-2)^3+8(-2)^2-7(-2)-6 = 5(-8) +8(4)+14-6](https://tex.z-dn.net/?f=5%28-2%29%5E3%2B8%28-2%29%5E2-7%28-2%29-6%20%3D%205%28-8%29%20%2B8%284%29%2B14-6)
![= -40 +32+14-6](https://tex.z-dn.net/?f=%3D%20-40%20%2B32%2B14-6)
![=0](https://tex.z-dn.net/?f=%3D0)
<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>
Now, let us check second factor x+1=0
x=-1.
Plugging x=-1 in given polynomial, we get
![5(-1)^3+8(-1)^2-7(-1)-6 = 5(-1) +8(1)+7-6](https://tex.z-dn.net/?f=5%28-1%29%5E3%2B8%28-1%29%5E2-7%28-1%29-6%20%3D%205%28-1%29%20%2B8%281%29%2B7-6)
=-5+8+7-6.
= -4.
<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>
Answer:
We can write a proportion from this image:
x/2 = (x+2)/3
3x=2(x+2)
3x=2x+4
x=4
Let me know if this helps!