Answer: 3/2
Step-by-step explanation:
<u>Given</u>
6/10 + 9/10
<u>Add the numerator together</u>
= (6 + 9) / 10
<u>Simplify by addition</u>
= 15 / 10
<u>Simplify to simplest form by division</u>
= (15 ÷ 5) / (10 ÷ 5)
= 3 / 2
Hope this helps!! :)
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Answer:
24
Step-by-step explanation:
apex
Answer:
-4432.5 m . . . or . . . -4.4325 km
Step-by-step explanation:
You can use the formula for average velocity, fill in the given values, and solve for displacement.
average velocity = displacement/time
-98.5 m/s = displacement/(45 s)
Multiply by time:
(-98.5 m/s)(45 s) = displacement = -4432.5 m
_____
Keeping units with the numbers serves as a check on the math. (m/s)·s = m. The units work the same way variables do: they can be multiplied and divided, raised to a power, canceled. If the units of the problem don't work out right, you're probably doing it wrong. (Note, you can only add and subtract numbers that have the same (identical) units--the same rule as for combining like terms.)
Answer:
b= 70
Step-by-step explanation:
The sum of the opposite interior angles of a triangle is equal to exterior angle.
a+b = 140
We know that a = b since PQ = RQ The angles opposite the equal sides in an isosceles triangle are equal
b+b = 140
2b =140
Divide by 2
2b/2 =140/2
b= 70
<span>x^2+16x+24: Think: What are the integer factors of 24? I'd list 1, 2, 3, 4, 6, 8, 12 and 24. Next: Look for a pair of factors from that list that:
(1)ADD up to 16 AND (2) whose product is 24. Unfortunately there seems to be no such pair from the above list.
So: Use the quadratic formula to find the roots of </span>x^2+16x+24:
-16 plus or minus sqrt[ 256-4(1)(24) ]
x = --------------------------------------------------
2
-16 plus or minus sqrt(160) -16 plus or minus 4 sqrt(10)
= --------------------------------------- = ----------------------------------------
2 2
2(-8 plus or minus 2 sqrt(10) )
= ------------------------------------------- = -8 plus or minus 2sqrt(10)
2
If c is a root, (x-c) is a factor. Thus, if -8 plus 2sqrt(10) is a root,
(x+8-2sqrt(10) is a factor. Can you find the other factor?
x^2-10a+25 is much easier to factor. The sqrt of 25 is 5, so try x= -5 as a root. Dividing x-5 into <span>x^2-10a+25, we get x-5. Therefore, the factors are
(x-5) and (x-5).</span>
