Step-by-step explanation:
2x + 100 = 90
x = -5
Angle A = 45 - 5 = 40.
Answer:
Step-by-step explanation:
The relationship is linear, so the plant grows the same amount each day.
The height on the 2nd day was 8 inches:
h₂ = 8
The height on the 7th day was 20.5 inches:
h₇ = h₂ + (7-2)d = 8 + 5d = 20.5
d = 2.5
The plant grows 2.5 inches each day.
Answer:
w=+/-4.24 or whatever could be either since its squared
Step-by-step explanation:
subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24
Answer:
A and D
Step-by-step explanation:
Ok so first, if you slice parallel to the base, you can get a square.
If you slice parallel to a face, you get a triangle.
Answer:
Length, l = 11 ft.
Width, w = 9 ft.
Step-by-step explanation:
From the given data, the area of the rectangle = 99 ft².
Area of the rectangle = Length, l X Width, w
Here, Length, l = 7 more than twice the width
⇒ Length, l = 7 + 2w
Therefore, Area, A = 99 = (7 + 2w)w
⇒ 99 = 7w + 2w²
⇒ 2w² + 7w - 99 = 0
Solve the Quadratic equation using the formula: x =
for the quadratic equation ax² + bx + c = 0.
Therefore, w = ![$ \frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B-7%20%5Cpm%20%5Csqrt%7B7%5E2%20-4%282%29%28-99%29%7D%7D%7B2%282%29%7D%20%24)
![$ = \frac{-7 \pm \sqrt{49 + 8(99)}}{4} $](https://tex.z-dn.net/?f=%24%20%3D%20%5Cfrac%7B-7%20%5Cpm%20%5Csqrt%7B49%20%2B%208%2899%29%7D%7D%7B4%7D%20%24)
![$ = \frac{-7 \pm + \sqrt{841}}{4} $](https://tex.z-dn.net/?f=%24%20%3D%20%5Cfrac%7B-7%20%5Cpm%20%2B%20%5Csqrt%7B841%7D%7D%7B4%7D%20%24)
Since,
we get:
![$ w = \frac{-7 \pm 29}{4} $](https://tex.z-dn.net/?f=%24%20w%20%3D%20%5Cfrac%7B-7%20%5Cpm%2029%7D%7B4%7D%20%24)
This gives two values of 'w', viz., w =
, ![$ \frac{-7 + 29}{4} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B-7%20%2B%2029%7D%7B4%7D%20%24)
![$ \implies w = \frac{22}{4}, \frac{-36}{4} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20w%20%3D%20%5Cfrac%7B22%7D%7B4%7D%2C%20%5Cfrac%7B-36%7D%7B4%7D%20%24)
⇒ w =
, -9.
We take the integer values.
If w = -9, then l = 2(-9) + 7
⇒ l = - 18 + 7 = - 11
Therefore, the length, l of the rectangle = - 11 ft.
and the width, w of the rectangle = - 9 ft.
Hence, the answer.