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OleMash [197]
3 years ago
14

The distance AB rounded to the

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

first of all, the formula given is wrong

it is,

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)}

so,

let's say

(x_2,y_2)=(-1,1) \\(x_1,y_1)=(3,1)

you can choose arbitrarily, answer will be the same

= \sqrt{(-1-3)^2+(1-1)^2)}\\=\sqrt{4^2+0}\\=4

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Solve the equation: w^2+7w+12=0
polet [3.4K]
Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3  4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3

w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
7 0
4 years ago
Molly invested $50,000 in various stocks
fgiga [73]

Answer:

  $10,000

Step-by-step explanation:

Let b represent the amount invested in bonds. Then 50,000 - b wil be the amount invested in stocks. Molly's total return is ...

  0.15b + 0.18(50000-b) = 8700

  -0.03b +9000 = 8700 . . . . simplify

  300 = 0.03b . . . . . . . . . . . . add .03b-8700

  10,000 = b . . . . . . . . . . . . . divide by 0.03

Molly invested $10,000 in bonds.

3 0
3 years ago
A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?
Dimas [21]

Answer:

23ft approx

Step-by-step explanation:

Given data

Distance from tree= 10ft

Length of ladder= 25ft

We can find the height of the tree by applying the Pythagoras theorem

z^2= x^2+y^2

z= The height of the ladder

x= The distance from the tree

y= The height of the tree

25^2= 10^2+ y^2

625=100+y^2

625-100=y^2

525=y^2

y= √525

y= 22.91

Hence the height of the tree is 23ft approx

7 0
3 years ago
Simplify the expression (-502) square root 0
Firdavs [7]

Answer:

-502\sqrt 0 = 0

Step-by-step explanation:

Given

-502\sqrt 0

Required

Simplify

-502\sqrt 0

----------------------------------------

\sqrt 0 = 0

----------------------------------------

So:

-502\sqrt 0 = -502 * 0

-502\sqrt 0 = 0

7 0
3 years ago
4. Fraction: Explain what 5/6 means. Write an explanation of the term fraction that should work with 5/6 and %.
vazorg [7]

Answer:

See below.

Step-by-step explanation:

5/6 is a fraction. The 5 is in the numerator, and the 6 is in the denominator.

The denominator is the number of parts the unit was divided into. In this case, the denominator is 6. That means one unit, 1, was divided into 6 equal parts. Each part is one-sixth.

The numerator is the number of those parts that you use. 5 in the numerator means to use 5 of those parts, each of which is 1/6 of 1.

In other words, 5/6 means divide 1 into 6 equal parts, and take 5 of those parts.

5/6 is the same as 5 divided by 6, so as a decimal it is 0.8333...

As a percent it is 83.333...%

7 0
3 years ago
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