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3 years ago

What is the completely factored form of t^4 − 16

1 answer:

7 0

Since both terms are perfect squares, factor using the difference of squares formula, a^ 2 − b ^2 = ( a + b) ( a − b ) where a = t ^2 and b = 4 .

Answer: ( t^ 2 + 4 ) ( t + 2 ) ( t − 2 )

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3^x+1 +3^x-1=270<br>Solve for x

BaLLatris [955]

Answer:

x=4.464974

Step-by-step explanation:

5 0

3 years ago

There are 25 kids in a class, and the number of boys is 2/3 of the number of girls. How many boys and how many girls are in this

Ksju [112]

25 kids in all
2xboys:3x girls

so the equation would be
2x+3x=25
solve,
5x=25
/5 /5
x=5
2x=10
3x=15

10 boys and 15 girls

3 0

3 years ago

What is the slope of the line shown below? (Enter your answer as a decimal if nessecary)

Rufina [12.5K]

-3/6 = -1/2 is the slope of the line.

8 0

2 years ago

I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find

VARVARA [1.3K]

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

mROP = 125°

∠ROP is a central angle

Then:

measure of arc RP, mRP = mROP = 125°

Given that

∠QOS and ∠ROP are vertical angles

Then:

mQOS = mROP = 125°

measure of arc QS, mQS = mROP = 125°

Given that

∠QOR and ∠SOP are vertical angles

Then:

mQOR = mSOP

Given that

The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

measure of arc QR, mQR = mQOR = 55°

measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

6 0

2 years ago

Lily took a survey of 80 students on 7th grade and 150 students in 8th grade she found that 80% of the 7th graders like country

Anarel [89]

Answer:

Step-by-step explanation:

80 over 100*150

80 divided by 100=0.8 *150=1208student

0.8 *60=48

8 0

3 years ago