Answer:
75 + 25h
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
= 160
complementary angles sum up to 90°.
so if one of them is 43°, then the other is just 90 - 43 = 47°.
More algebra pretending to be geometry. These questions should be banished from the planet.
A transversal across parallel lines generates the usual congruent and supplementary angles; here our pair are supplementary, adding to 180 degrees. Geometry done.
(2x + 12.8) + 117.6 = 180
2x = 180 - (12.8 + 117.6) = 49.6
x = 49.6/2 = 24.8
Answer: 24.8
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
