Answer:
85-4x<40
12 cars
Step-by-step explanation:
85-4x<40
Solve for x.
-4x<-45
x<11.25
If he build 11 cars, the amount of tires would be over 40, so if he builds<u> 12 </u>cars, it will be below 40.
Answer:
The roots are +/- 5 and +/- 4i or 5, -5, 4i, -4i
Step-by-step explanation:
Begin by dividing through by - 3
-3x^4 / - 3 + 27x^2/-3 + 1200/-3 = 0
x^4 - 9x^2 - 400 = 0 This makes it easier to work with. Substitute
z = x^2
z^2 - 9z - 400 = 0 Factor
(z - 25)(z + 16) = 0 Put the x^2 back in
(x^2 - 25)(x^2 + 16)
======================
Factor x^2 - 25 using the difference of squares.
(x^2 - 25) = (x + 5)(x - 5)
x = +5 and x = - 5
======================
Factor x^2 + 16
x^2 + 16 = 0
x^2 = - 16 Take the square root of x^2 and -16
x = sqrt(-16)
x = +4i, x = - 4i
Answer
The roots are +/- 5 and +/- 4i
To find the area of the flag you will find the total area Nate started with, and subtract the four 8 inch squares from that area.
1 yard = 36 inches
36 x 36 = 1296 square inches
(8 x 8) x 4 = 256 square inches taken off.
1296 - 256 = 1040 square inches
The finished flag was 1040 square inches.
Answer:
10 units and (- 5, - 1 )
Step-by-step explanation:
Calculate the distance d using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = C(- 8, - 5) and (x₂, y₂ ) = D(- 2, 3)
d = ![\sqrt{(-2+8)^2+(3+5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-2%2B8%29%5E2%2B%283%2B5%29%5E2%7D)
= ![\sqrt{6^2+8^2}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E2%2B8%5E2%7D)
= ![\sqrt{36+64}](https://tex.z-dn.net/?f=%5Csqrt%7B36%2B64%7D)
= ![\sqrt{100}](https://tex.z-dn.net/?f=%5Csqrt%7B100%7D)
= 10
Calculate the midpoint using the midpoint formula
(
,
)
=
,
)
=
,
)
= (- 5, - 1 )
Answer:
2
Step-by-step explanation:
If we are given two points, we can find the slope by using
m = (y2-y1)/ (x2-x1)
= (-2- -6) /( 5-3)
= (-2+6)/ (5-3)
= 4/2
= 2