Answer:
log(2)
Step-by-step explanation:
In order to combine log(10) and log(5), you need to look at the sign that's combining them. In this example, it is a subtraction sign. When two logs are being subtracting from each other, it's the same as dividing the two. You would rewrite it like this:
log(10/5)
You would then solve 10/5, and get 2. You would rewrite the log as:
log(2)
Answer:
C
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - 
Let the ratio be termed as 4x and 2x.
Now,
4x + 2x= 90
or,6x=90
or,x=90/6
or,x=15
So the measure of angles are,4x= 4×15
= .........
and,2x=2×15 =.....
Answer:
It will be 3 in by 4 in
Step-by-step explanation:
Original dimension is 6 in by 8 in
If he scale it down by a factor of 1/2
The new dimension will be
1/2(6) by 1/2(8)
= 3 by 4
= 3 in by 4 in
Solve the equation:
5 3
x – —— = – ——
7 7
5
Add —— to both sides, so you get x isolated at the left-hand side:
7
5 5 3 5
x – —— + —— = – —— + ——
7 7 7 7
3 5
x = – —— + ——
7 7
Now, add those fractions at the right-hand side of the equation:
– 3 + 5
x = —————
7
2
x = —— <——— this is the answer (first option: 2/7).
7
I hope this helps. =)
