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1 year ago

Given L(-4, 3) and M(-7, -2), what is the length of segment LM?

Mathematics

1 answer:

kati45 [8]1 year ago

4 0

Answer:

$d = \sqrt{34}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point L (-4, 3)

Point M (-7, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(-7+4)^2+(-2-3)^2}$
Add/Subtract: $d = \sqrt{(-3)^2+(-5)^2}$
Exponents: $d = \sqrt{9+25}$
Add: $d = \sqrt{34}$

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The table shows the number of each type of toy in the store. the toys will be placed on shelves so that each shelf has the same

skelet666 [1.2K]

First, we compute the highest common factor between the numbers of toys. The highest common factor for 45, 105 and 75 is 15. Therefore, we will need 15 shelves. On each shelf, there will be 45/15 = 3 dolls, 105/15 = 7 footballs and 75/15 = 5 small cars

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2 years ago

15.18. Find the area of the region bounded by

julia-pushkina [17]

Answer:

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Step-by-step explanation:

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2 years ago

The points (-10, 0) and (-5, 3) fall on a particular line. What is it’s equation in slope-intercept form?

yaroslaw [1]

Answer:

y = 3/5x + 6

Step-by-step explanation:

When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given point coordinates, this is ...

y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0

y = 3/5(x +10)

y = (3/5)x + 6

5 0

2 years ago

Quincy says that 3 is a good estimate for 3.4 X 0.09, is he correct? Why?

lord [1]

Quincy says that 3 is a good estimate for 3.4 X 0.09, is she correct? Why?
When we say estimates meaning it is not the exact answer but close to what is the exact.
Now, if Quincy estimated 3 as the product of 3.4 * .09, then let’s check if she has the correct estimates.
=> 3.4 estimates is 3
=> 0.09 estimates is 0.1
Now the answer is 0.3 and not 3.
Thus, Quincy’s estimate is wrong.

4 0

2 years ago

214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. The receipt totaled to $390 How many children and h

zysi [14]

Answer:the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

321 - 1.5y + 2.25y = 390

- 1.5y + 2.25y = 390 - 321

0.75y = 69

y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

5 0

2 years ago