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k0ka [10]
3 years ago
14

Solving by elimination

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0

Answer:

x = 3

y = 6

Step-by-step explanation:

(-4x - y = -18)

2 (2x + 3y = 24)

-4x - y = -18

4x + 6y = 48

5 / 5y = 30 / 5

y = 6

______________________

-4x - (6) = -18

-4x - 6 + 6 = -18 + 6

-4x = -12

-4x / 4 = -12 / 4

x = 3

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3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p
Kazeer [188]

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

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8 0
2 years ago
Two boats leave a port at the same​ time, one going north and the other traveling south. The northbound boat travels 18 mph fast
shutvik [7]

Answer:

10 hours

Step-by-step explanation:

Two boats leave a port at the same​ time, one going north and the other traveling south.

<u>Southbound boat rate</u> = 40 mph

The northbound boat travels 18 mph faster than the southbound boat.

<u>Northbound boat rate</u> = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

Total distance = 980 miles

Total rate = 98 mph

Time =980:98=10 hours

3 0
3 years ago
Which question is a statistical question?
Alika [10]

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

8 0
3 years ago
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tatyana61 [14]
You would need one because you arent yet to 20 so it takes one tenth for example;

1.7 or 7/10

Thats my guess tho man if it is more complicated than that, SORRRYYYY
6 0
3 years ago
EASY MATH PROBLEM!!!
11111nata11111 [884]
750 + 0.60(750) = 750 + 450 = 1200 <==

or this way...
750 * 1.60 = 1200
6 0
3 years ago
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