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3 years ago

What is the missing expression? x^ 8 + 3x ^5 = x^5(_____)

2 answers:

8 0

What you are doing here is simply factoring out the GCF. In this example that factor would be x^5. Once that is complete the missing expression would be x^(3)+3. (also I like your profile picture)

Stells [14]3 years ago

4 0

x^ 8 + 3x ^5 = x^5(x^3 + 3)

answer: c) x^3 + 3

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A bag of fertilizers covers 30 square yard of lawn.find how many bags of fertilizers should be purchased to cover a rectangular

lidiya [134]

Answer:

15 bags

Step-by-step explanation:

25 * 18 yard^2 = area

so, Area/Fertilizercoverrate = what we want.

25*18/30 = 15 bags

4 0

3 years ago

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

3 years ago

If you are traveling 543 miles and you know that your car gets 18 miles per gallon of gasoline, approximately how many gallons o

Inga [223]

we know that

the car gets 18 miles per -----------> 1 gallon of gasoline

for 543 miles ---------------------> x gallons of gasoline

by proportion

543/18=x/1---------->x=543/18------->x=30.17 gallons

therefore

the answer is

30.17 gallons

6 0

3 years ago

If the club is sending 3 members to a convention, how many different groups of 3 members are possible?

Natasha2012 [34]

There are 120 different possible groups.
(10 * 9 * 8)/(3 * 2 * 1) + 120

6 0

3 years ago

What is 2<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1" title="\frac{1}{5}" alt="\frac{1}{5}" align="

vivado [14]

$2\dfrac{1}{5}+1\dfrac{1}{10}=2+\dfrac{1}{5}+1+\dfrac{1}{10}=(2+1)+\left(\dfrac{1}{5}+\dfrac{1}{10}\right)\\\\=3+\left(\dfrac{1\cdot2}{5\cdot2}+\dfrac{1}{10}\right)=3+\left(\dfrac{2}{10}+\dfrac{1}{10}\right)=3+\dfrac{2+1}{10}=\boxed{3\dfrac{3}{10}}$

7 0

3 years ago