The graph shows a system of equations:

Mathematics

1 answer:

IgorLugansk [536]2 years ago

8 0

The solution to the system of equations is (3, 2)

<h3>System of equation</h3>

Give the system of equation below

y = -x + 5

y=x-1

Equate both expression

-x+5 =x - 1

Equate

-x - x = -1 - 5

-2x = -6

x = 3

Since y = x - 1

y = 3 - 1

y = 2

Hence the solution to the system of equations is (3, 2)

Learn more on system of equation here: brainly.com/question/25976025

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8. A right triangle has a perimeter of 60 cm. The legs have a ratio of 5:12. The hypotenuse is twice the

lakkis [162]

Answer:

a=24

b=10

c=26

Step-by-step explanation:

Perimeter is the sum of the sides ( $a+b+c=60$ )

The legs (a and b) have a ratio of 5:12, which means that $5a=12b$ , which can be simplified to $\frac{5}{12} a=b$ , where b will be the smaller leg.

The hypotenuse will be double the smallest leg, 2b, increased by 6 meters, giving us an equation of $c=2b+6$

Let's plug these in to get one variable:

$a+b+c=60\\a+b+2b+6=60\\a+\frac{5}{12}a+2(\frac{5}{12}a)+6=60\\\frac{12}{12}a+\frac{5}{12}a+\frac{10}{12}a+6=60\\\frac{12}{12}a+\frac{5}{12}a+\frac{10}{12}a=54\\\frac{27a}{12}=54\\27a=648\\a=24$