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Varvara68 [4.7K]
3 years ago
6

What is the x-coordinate of the solution to the system of equations

Mathematics
1 answer:
solniwko [45]3 years ago
7 0
Use elimination method - I am eliminaing the y-variable.

1(5x + 8y = 16)    →    5x + 8y = 16
4(6x  - 2y = 54)    →  24x - 8y = 216
         Add equations: 29x       = 232
            Divide by 29:    x        = 8

Answer: x = 8

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11. The formula to find the AREA of a triangle is A = 1/2bh<br> True<br> False
Vera_Pavlovna [14]

Answer:

True

Step-by-step explanation:

The formula for the area of a triangle is:

area=(base x height)/2

7 0
3 years ago
Create three fractions whose product is -5/24. You may only use fractions between -8/9 to 8/9 and you can only use a fraction on
damaskus [11]

Answer:

We find 3/4-5/24 = 0.54166666666 and try 2/7 x 6/8 = 0.21428571428

this is 0.069 too much we look at this as a fraction = 0.07 which is 1/10 approx of the 6/8. we then reapply 7/9 x 2/7 x 3/3 = 0.2

So we went up by 1 and can show another

2/7 x 7/10 = 2.0

So to 1dp there is lots of fractions including 2/7 x 7/9 = 2.0

But for three fractions that multiply together we can chose 5/7 x 2/6 x 6/6 = 2.0  As 5 x 2 x 6 = 60 and 60/360-102 = 60/258 = 0.20 and divided 198 =numbers 8 and 1/3 work with = 1.98/8.3 = 2.38554

We try again 1.68/8.3 = -0.2024 = 2/8 x 8/10 = 0.2

The balance is 1.3/2 x 0.8/2 = 0.65 x 0.333 = 13/20 x 1/3

3/5 x 1/3 = 0.2

8 0
3 years ago
From a set of 27 ​marbles, 4 white​, 12 black​, and 11 green​, we choose one at random. What are the odds in favor of choosing a
garik1379 [7]

Answer:

4/27 chance of getting a white marble.

Step-by-step explanation:

There are 4 white marbles but there are 27 marbles in total. If you wanted a percentage, then divide 4 by 27 and place the decimal two places to the right once you founded your answer.

(sorry if it's a bad explanation)

6 0
3 years ago
Pls answer bb I give extra pp-oints (::
DENIUS [597]

Answer:let me know please

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need to find the perimeter and area of the regular polygon.
mezya [45]
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways. 

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31

The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31

We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48

Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72
7 0
3 years ago
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