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Naddik [55]
3 years ago
15

Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

√85

Step-by-step explanation:

The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...

... d = √((x2-x1)^2 +(y2-y1)^2)

For your points (-1, -4) and (-8, 2), the distance is ...

... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)

... d = √85

The distance between the two points is √85.

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Step-by-step explanation:

There are 2 angles and a side that are congruent in both triangles. Therefore, they are congruent through AAS.

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Will give crown thingy if right Can you find the area and circumference of a circle given the radius or diameter?
Artist 52 [7]

Answer:

Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.

Step-by-step explanation:

i) to find the area of a circle or circumference the radius , r, is required.

ii) if we are given the diameter, d. then we have to find the radius, r, by dividing the diameter by 2, that is d  = \frac{r}{2}.

iii) area of the circle is given by A = \pi r^{2}

iv) circumference of the circle is given by C = 2\pi r

Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.

7 0
2 years ago
ALGEBRA Find the value of x in each figure.<br><br> HELP ASAP I WILL<br> MARK BRAINLIEST
Nadya [2.5K]

Answer:

x=104°

Step-by-step explanation:

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4 0
3 years ago
The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0
2 years ago
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