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3 years ago

What is the factor of x2+3x-18?

Mathematics

1 answer:

olga2289 [7]3 years ago

4 0

Step-by-step explanation:

$x {}^{2} + 3x - 18 \\ = x {}^{2} + (6 - 3)x - 18 \\ = x {}^{2} + 6x - 3x - 18 \\ = x(x + 6) - 3(x + 6) \\ = (x + 6)(x - 3)$

Thank you ☺️☺️

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Given the system of equations, what is the solution?<br><br> x + 2y = 7<br> x - 2y = -1

Reika [66]

Add the 2 equations to eliminate the 2y. We get

2x = 6

x = 3

Plug x = 3 into the first equation:-

3 + 2y = 7
2y = 7 - 3 = 4

y = 2

Answer is x = 3 and y = 2

4 0

3 years ago

After a storm, two street lights with the same length are leaning against each

Ray Of Light [21]

Answer:

c = 4.79 feet

Step-by-step explanation:

Given question is incomplete without a picture; find the question with the attachment.

Two poles AD and DB of same length are leaning against each other.

Distance between the poles (AB) = 45 feet

m(∠ADB) = 180°- (60 + 50)°

= 70°

By sine rule,

$\frac{sin50}{AD}=\frac{sin70}{45}=\frac{sin60}{DB}$

$AD=\frac{45\times (sin50)}{sin70}$

= 36.68 ft

Similarly,

DB = $\frac{45\times sin60}{sin70}$

= 41.47 ft

Now c = DB - AD

= 41.47 - 36.68

= 4.79 feet

4 0

3 years ago

Please help me with this questions

viktelen [127]

Answer:

See attached

Step-by-step explanation:

The answers added on the picture

8 0

3 years ago

Jim, Katrina, Larry, and Jim have all been invited to a dinner party. They arrive randomly and each person arrives at a differen

tino4ka555 [31]

Answer:

1/12

Step-by-step explanation:

a) This is a counting problem 4*3*2*1 = 24 different ways.

b) 1 * 2 * 1 * 1 = 2 ways

This is one you should try.

Jim Kat Larry Kim

Jim Larry Kat Kim

You can't get another way.

There are 2 ways that Jim can arrive first and Kim Last shown in b

2/24 = 1/12

7 0

2 years ago

Read 2 more answers

Worth 12 Points, i spent 24

rewona [7]

Answer:

$\displaystyle m^{\frac{35}{12}}n^{-\frac{28}{15}}=\frac{m^{\frac{35}{12}}}{n^{\frac{28}{15}}}$

Step-by-step explanation:

The relevant rule of exponents is ...

(a^b·c^d)^e = a^(be)·c^(de)

Then ...

(m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)

= m^(35/12)·n^(-28/15)

Since you want positive rational exponents, you can write this as ...

= m^(35/12)/n^(28/15)

6 0

3 years ago