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White raven [17]
3 years ago
6

Which coordinate pair is a solution to the following system? A- (0.20) B-(1,-3) C(5,5) D-(13,20

Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

Answer:

x=5/2, y=0 & x=5, y=5. So the answer is C).

Step-by-step explanation:

2x^2-13x+20=2x-5

2x^2-13x-2x+20-(-5)=0

2x^2-15x+20+5=0

2x^2-15x+25=0

factor out the trinomial

(2x-5)(x-5)=0

zero property

2x-5=0, x-5=0

2x=0+5=5, 2x=5, x=5/2

x=0+5=5

y=2(5/2)-5=5-5=0

y=2(5)-5=10-5=5

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200 milimeters is the answer
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3 years ago
One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t
kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0
2 years ago
Are these numbers rational or irrational? √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational pl
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Step-by-step explanation:

any rational number can be expressed as a/b, with a and b being integer numbers, and b different to 0.

-7 = -7/1 rational

sqrt(10) irrational (because there is no rational number multiplied by itself that results in 10)

sqrt(16) = sqrt(4×4) = 4 = 4/1 rational

52% = 52/100 rational

1.235 = 1235/1000 rational

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2 years ago
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denpristay [2]
Subtracting a negative is the same as adding it.
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3 years ago
Use the drawing tools to form the correct answer on the number line.
Ainat [17]

Answer:

In the picture

Step-by-step explanation:

7 0
3 years ago
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