Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
The number is 112
1. Three digits
2. Less than 140
3. 7 is a factor
4. Even
5. 1+1+2 = 4
Answer:
Step-by-step explanation:
Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a <u>rectangle</u>.
Diagonals of a rectangle are <em>always</em> equivalent/congruent.
We can use this information to set up an equation:
Add 3 to both sides:
Subtract 5x from both sides:
Divide both sides by 2
So our ratio is 2:3, therefore we are looking for a multiple of 2 and a multiple of 3 that are proportional to this ratio. We can start by multiplying the ratio by 2, which gets us 4:6, which, since 4+6 is ten, is not a correct answer. If you continue the pattern of multiplying the ration with different numbers, you would eventually discover that, if you multiply the ratio by 5, you get 10:15. Since 10+15 is equal to 25, we know that this is the correct answer
Alright here we go...
<u>(-18) + (-15) - 23</u>
-33 - 23
= -56
<u>15-18+23</u>
-3 + 23
= 20
so I don't know how you want me to compare it but,
(-18) + (-15) - 23 < 15-18+23
