Answer:
-x^2+4x+6
Step-by-step explanation:
f(x) = 4x+1
g(x) = x^2 - 5
(f-g) (x) = 4x+1 - ( x^2 - 5)
Distribute the minus sign
= 4x+1 - x^2 +5
Combine like terms
= -x^2+4x+6
Answer:
Are the pencils side by side or are they 2 x 2?
If they are side by side, then the band like a rectangle
but two of the sides are rounded.
In that case, The length is 10x 4 = 40.
The width is a half circle with diameter 10, which has
a circumference (perimeter) of 1/2*PI*10 = 5 * pi.
The total length of the band is 2*40 + 2*5*pi = 80 + 10*pi
Step-by-step explanation:
Bianca's speed: 60 mph
<span>Colin's speed: (150)/(2.5) = 60 mph </span>
<span>Dave's speed: (105)/(7/4) = 60 mph
</span>
Answer:
<T = 81
x = 10, angle = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
Step-by-step explanation:
Supplementary angles add to 180
(7x+11) + (8x+19) = 180
Combine like terms
15x + 30 = 180
Subtract 30 from each side
15x +30-30 = 180-30
15x= 150
Divide by 15
15x/15 = 150/15
x = 10
We want angle T
T = 7x+11 = 7(10)+11 = 70+11 = 81
The two angles add to 90
5x+10 + 30 = 90
Combine like terms
5x+40 = 90
5x+40-40 = 90-40
5x = 50
Divide by 5
5x/5 = 50/5
x=10
5x+10 = 5(10) +10 = 50+10 = 60
Angle 5 and Angle 3 are vertical angles. They are acute angles
