To solve this inequality, you need to isolate the value of u. To do this, divide both sides by -2. When you do this, keep in mind that when you divide or multiply both sides by a negative in an inequality, you MUST flip the sign, so your answer would be -8 < u or u > -8.
Answer:
$20.45
Step-by-step explanation:
Since the Bayside Bugle charges $18 for the first 20 words and there is more than 20 words in the ad you take 27-20 and you get 7 additional words.
Now we know that we already have to pay $18 for the first $20 words.
Since we have 7 additional words we multiply that by 0.35 cents and you get $2.45.
Next we add up our two numbers (2.45+18) we get the total of $20.45 fro a 27-word ad.
I hope this helps :)
Answer:
9,765 cm
Step-by-step explanation:
We'll solve out the measurements for triangle ABC then it will be easy to figure out x
For triangle ABC, we have
Angle B = 90 degrees.
Angle A (CAB) = 38 degrees (the angle CAD is 19 and is said to be half of CAB, since the line AD is a bisector).
Angle C = 180 - 90 - 38 = 52 degrees.
To find the measurement of the BC line, which we label a, we know that
![\frac{a}{sin(A)} = \frac{c}{sin(c)}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%20%3D%20%5Cfrac%7Bc%7D%7Bsin%28c%29%7D)
So, we can isolate the a to get:
![a = \frac{c * sin(A)}{sin(c)} = \frac{25 * sin(38)}{sin(52)} = 19.53](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bc%20%2A%20sin%28A%29%7D%7Bsin%28c%29%7D%20%3D%20%5Cfrac%7B25%20%2A%20sin%2838%29%7D%7Bsin%2852%29%7D%20%3D%2019.53)
Now we know the segment BC is 19.53 cm.
And we know that segments CD and DB are equal, since AD is a bisector, cutting the CAB angle in half.
So, CD is half of BC.... so 19.53 / 2 = 9.765 cm
follow these steps:
1) y-4=7x^2
2) (y-4)/7 = x^2
![x = \sqrt{ \frac{y - 4}{7} }](https://tex.z-dn.net/?f=%20x%20%3D%20%5Csqrt%7B%20%5Cfrac%7By%20-%204%7D%7B7%7D%20%7D%20)
so you must inverse x and y names:
![{f}^{ - 1} (x) = \sqrt{ \frac{x - 4}{7} }](https://tex.z-dn.net/?f=%20%20%7Bf%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%5Csqrt%7B%20%5Cfrac%7Bx%20-%204%7D%7B7%7D%20%7D%20)