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3 years ago

Here is a system of two linear equations. Verify that the solution to this system is (3,4).

Mathematics

1 answer:

xeze [42]3 years ago

5 0

Answer:

The answer

x=3

y=4

Step-by-step explanation:

You use substitution to solve it:

x+1=-2x+10

3x+1=10

3x=9

x=3

y=4

plug in the solution to the equation to verify your answer.

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Maja manages a community garden which has rectangular garden plots that are 15 ft by 10 ft. She wants to add a uniform path arou

tiny-mole [99]

The path should be 6.38 feet wide

Let x be the width of the path.

Since the rectangular plot has an area with dimensions 15 ft by 10 ft, we add x to each dimension to give the dimensions of the rectangular plot plus uniform path.

So, the dimensions are 15 + x by 10 + x respectively.

So, the area of the rectangular plot plus uniform path is A

A = (15 + x)(10 + x)

Since the combined area of the path is 350 square feet, A = 350 ft²

So, (15 + x)(10 + x) = 350

Expanding the brackets, we have

150 + 15x + 10x + x² = 350

x² + 25x + 150 = 350

x² + 25x + 150 - 350 = 0

x² + 25x - 200 = 0

Using the quadratic formula, we find x, the width of the path

So,

$x = \frac{-25 +/-\sqrt{25^{2} - 4X1 X (-200)} }{2 X1 } \\x = \frac{-25 +/-\sqrt{625 + 800)} }{2}\\x = \frac{-25 +/-\sqrt{1425} }{2}\\x = \frac{-25 +/-37.75 }{2}\\x = \frac{-25 + 37.75 }{2} or x = \frac{-25 - 37.75 }{2}\\x = \frac{12.75 }{2} or x = \frac{-62.75 }{2}\\x = 6.375 or x = -31.375$

Since x cannot be negative, we choose the positive answer.

x = 6.375 ft

x ≅ 6.38 ft

So, the path should be 6.38 feet wide

Learn more about width of a path here:

brainly.com/question/15382035

5 0

3 years ago

a student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was

slava [35]

Two-multiply by fraction

8 0

4 years ago

Helppppppppppppppppppppppppppppppppppppppppppppp

aleksley [76]

Answer:

with what?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the answers ?

Lorico [155]

Ok so the 2nd and 3rd are obviously wrong
there must be a craxy pattern

hmm
1+4=5 corerct

2+5=7
that is 5 away from 12

3+6=9
that is 12 away from 21

I see it
1+4=5
2+5+5=12
3+6+12=21
so the pattern is takee the result from the last equaton and add to the next

see how it goes, 1,2,3, then jumps to 8
we need to buildto 8
4+7+21=32
5+8+32=45
6+9+45=50
7+10+50=67
8+11+67=86

the result is 86

7 0

4 years ago

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PLEASE HELP ME FIGURE OUT THE REST OF THE TABLE FOR BRAINLIEST

sladkih [1.3K]

Answer:

Crimson: 2.5

Desert: 34.986

Emerald: 2.5

Fuschia: 10.66

4 0

3 years ago

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