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scoundrel [369]
2 years ago
11

Find the slope of a line that passes through the

Mathematics
1 answer:
Doss [256]2 years ago
4 0

Given that,

Point 1 = (-6,9)

Point 2 = (2,9)

To find,

The slope of a line that passes through the given pair.

Solution,

We have,

x₁ = -6, x₂ = 2, y₁ = 9, y₂ = 9.

The formula for the slope of a line is given by :

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\=\dfrac{9-9}{2-(-6)}\\\\=0

Hence, the slope of the line that passes through the given pair is 0.

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Allen is horrible at managing his money. For example, he
N76 [4]

Answer:

$80,000

Step-by-step explanation:

<u>Define the variables</u>:

Let x =  "fish-flavored" chicken company investment (in dollars)

Let y = spray-on vitamins company investment (in dollars)

If Allen invested a total of $100,000:

⇒ x + y = 100000

Given:

  • 3% profit on "fish-flavored" chicken investment
  • 1% profit on pray-on vitamins investment
  • Total profit = $2,600

⇒ 0.03x + 0.01y = 2600

Rewrite the first equation to make y the subject:

⇒ y = 100000 - x

Substitute into the second equation and solve for x:

⇒ 0.03x + 0.01(100000 - x) = 2600

⇒ 0.03x + 1000 - 0.01x = 2600

⇒ 0.02x + 1000 = 2600

⇒ 0.02x = 1600

⇒ x = 80000

Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.

6 0
2 years ago
(-7) x (-7)to the 11th power
masha68 [24]

Answer:

(-7)×(-7)=+49

You change the signs and multiple

5 0
2 years ago
Read 2 more answers
Half the marbles in a bag are red, 1/6 of the marbles are blue, and the remaining 8 marbles are white how many total marbles are
Gemiola [76]

Hey there! I'm happy to help!

Let's represent the total number of marbles with the variable t. We have the following information.

1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)

Now, we solve for t.

1/2t+1/6t+8=t

We combine like terms.

2/3t+8=t

We subtract t from both sides.

-1/3t+8=0

We subtract 8 from both sides.

-1/3t=-8

We divide both sides by -1/3.

t=24

Therefore, there ae 24 total marbles in the bag.

Have a wonderful day! :D

7 0
3 years ago
Reason is the value of the first 5 ten times as great as the value of the second 5 in 5045?
vovikov84 [41]

It is not. In the decimal system each column to the right is valued at powers of ten starting at zero and increasing as you move to the left...in a four digit number...the columns are valued at...

10^3, 10^2, 10^1, 10^0 which corresponds to...

1000, 1000, 10, 1 in this case the first digit is equal to

5(1000)=5000 the value of the last digit is 5(1)=5

So the first 5 is 1000 times as great as the second 5...

Hope this helps!

4 0
3 years ago
Express in simplified exponential notation.<br><br> x3 • x5 =
Usimov [2.4K]

Answer:

  x^8

Step-by-step explanation:

The applicable rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

Here you have ...

  (x^3)(x^5) = x^(3+5) = x^8

8 0
3 years ago
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