<span>C) Right
https://www.desmos.com/calculator/vf2qksnpwe
</span>right triangle
<span>Proof: You can apply the Pythagorean theorem.</span>
Answer:
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Step-by-step explanation:
f(x) = x⁴ + 10x³ − 20x² − 90x + 99
f(x) is a fourth order polynomial, so it has 4 roots. Use rational root theorem to find possible rational roots.
±99, ±11, ±9, ±3, ±1
By trial and error, the zeros are -11, -3, 1, and 3.
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
Answer:
Since length is three times, hence it is 6 inches.
let the width be x.
then, length= 3x
perimeter= 16 inches.
perimeter of a rectangle = 2( L+B)
2(3x+x)=16.
3x+x= 16÷2
4x= 8
x= 2
since length=3x
hence, 3×2= 6 inches
