Answer:
n>9
Step-by-step explanation:
4(n-3)- 6 > 18
To solve this inequality we need to remove the parenthesis
distribute 4 inside the parenthesis
4n -12 - 6 > 18
Now combine like terms
4n - 18 > 18
We need to isolate 'n', so we add 18 on both sides
4n > 36
Now divide both sides by 4
n > 9
So the value of n is greater than 9
Complete question is attached.
Answer:
B) 8
Step-by-step explanation:
In this question, KLMN ~ PQRS. This means they are similar shapes.
From the image, we could denote that:
KL ~ PQ
LM ~ QR
Given that:
KL = 12
PQ = 30
QR = 20
LM = x
To find x, let's use tge expression:
Cross multiplying, we have:
12 * 20 = 30x
240 = 30x
To find x, let's divide both sides by 30.
8 = x
x = 8
The correct option is option B.
Answer:
-8/25
Step-by-step explanation:
I took the test and i got it right
So firstly, <u>the factor (4n - 5) cannot be further factored, so we will be focusing on 2n² + 5n + 3.</u>
So for this, we will be factoring by grouping. Firstly, what two terms have a product of 6n² and a sum of 5n? That would be 2n and 3n. Replace 5n with 2n + 3n:

Next, factor 2n² + 2n and 3n + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now we can rewrite this expression as<u>
, which is your final answer.</u>
Answer: x = 14.43
Step-by-step explanation:
The Pythagorean Theorem states the following:
a^2 + b^2 = c^2
Make one side of the triangle x
Make the second side of the triangle 2x
Now, you can plug the values into the equation, right?
x^2 + 2x^2 = 25^2 or 625
3x^2 = 625
Divide each side by 3 and you are left with:
x^2 = 208.33
Now, take the square root of 208.33
x = 14.43
That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side