Answer:
11
Step-by-step explanation:
Given
x² - 7x + 10 = 28 ( subtract 28 from both sides )
x² - 7x - 18 = 0 ← in standard form
(x - 9)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 2 = 0 ⇒ x = - 2
The distance between the solutions is
| 9 - (- 2) | = | 11 = 11 units
Answer:
1
Step-by-step explanation:
Slope is x-y, so its 1
Answer:
sec(x) = 1.15
Step-by-step explanation:
We can figure out what x is by using the arctan(x) function:
![x = arctan(-\frac{4}{7}) = -29.74](https://tex.z-dn.net/?f=x%20%3D%20arctan%28-%5Cfrac%7B4%7D%7B7%7D%29%20%3D%20-29.74)
So, now let's figure out the cos(x) as sec(x) is equal to the reciprocal of cos(x):
![cos(-29.74) = 0.87](https://tex.z-dn.net/?f=cos%28-29.74%29%20%3D%200.87)
Let's take the reciprocal:
![sec(x) = \frac{1}{cos(-29.74)} = 1.15](https://tex.z-dn.net/?f=sec%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bcos%28-29.74%29%7D%20%3D%201.15)
And that's your answer.
I underlined the numbers you needed
Answer: door hinges<$4.69
Step-by-step explanation: From the question, we can deduce that
1. Jonah has just $50 and can’t spend beyond it, so his total budget must be less than or equal to $50
2. Jonah will spend a total of $12.54 (add all the items with known prices),
leaving him with $37.46(50-12.54) to spend on 8 door hinges.
Therefore 8x<=37.46(8x has to be less than or equal to $37.46)
x=door hinges
Hence, x<=4.6825 (divide both sides by 8)
But we wouldn’t spend such fraction, lol, so we’ll approximate to the nearest cent.
x<4.69 ( I chose the higher number and removed the equal sign)
OR x<=4.68