Answer:
k = -9
Step-by-step explanation:
f(x) = 2x²+kx-20
From remainder theorem,
x = 10 and f(10) = 90
f(10) = 90
Subsitute the value of x into the expression above.
f(10) = 2(10²)+10k-20 = 90
200+10k-20 = 90
Solve for k by collecting like terms
10 k = 90+20-200
10k = 110-200
10k = -90
k = -90/10
k = -9.
Hence the value of the constant is -9
Answer:
V=Bh
Step-by-step explanation:
52/4 = 13
$13 = 1 hour.
$6.50 = halfhour
13 x 3 = $39
She would have to work for 3 hours to earn $39
Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
240/100
Step-by-step explanation:
just multiply 24 by 10 to get hundredths