Answer:
w = 7
Step-by-step explanation:
L = 22
L = 2*w + 8
Since the Ls are the same thing, you can equate them
2w + 8 = 22 Subtract 8 from both sides
2w = 22 - 8 Combine
2w = 14 divide by 2
w = 14/2
w = 7
Answer: perimeter of triangle ABC to the nearest tenth = 27.4
Step-by-step explanation: Given that
vertices are
A(- 4, 5), B(- 4, - 4) , and C(3,-4)
Length AB = root( [-4-5]^2 + [-4+4]^2)
Length AB = sqr(9^2) = 9
Length AC = root( [-4-5]^2 + [3+4]^2)
Length AC = sqr( 9^2 + 7^2)
Length AC = sqr(130) = 11.4
Length BC = root( [-4+4]^2 + [3+4]^2)
Length BC = sqr( 7^2) = 7
Perimeter = 9 + 11.4 + 7 = 27.4
Answer: (b) x = -7, x = 2, x = 4
<u>Step-by-step explanation:</u>
Remainder Theorem is used to determine if a given value is a root.
It is stated that (x + 7) is a root ⇒ x + 7 = 0 ⇒ x = -7
We can confirm this by plugging in x = -7 and getting a value of 0.
f(x) = 5x³ + 5x² - 170x + 280
f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280
= -1715 + 245 + 1190 + 280
= 0
CONFIRMED that x = -7 is a zero!
Next, let's try x = 2
f(2) = 5(2)³ + 5(2)² - 170(2) + 280
= 40 + 20 - 340 + 280
= 0
CONFIRMED that x = 2 is a zero!
Lastly, let's try x = 4
f(4) = 5(4)³ + 5(4)² - 170(4) + 280
= 320 + 80 - 680 + 280
= 0
CONFIRMED that x = 4 is a zero!