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3 years ago

System of Equations y=-x-1 y+x=3 Solve?

1 answer:

ozzi3 years ago

6 0

Solve by substitution

$\sf{y=-x-1}$
$\sf{y+x=3}$

Just plug in y=-x-1 into y+x=3

So we get:

$\sf{(-x-1)+x=3}$

Simplify that:

$\sf{-1=3}$

And since that is not true, that means this system of equations has no solutions!

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The length of the longer leg of a right triangle is 6 cm more than twice the length of the shorter leg. The length of the hypote

iragen [17]

Let x = the shorter leg
2x + 6 is the longer leg
2x + 9 is the hypotenuse

We now do the Pythagorean Theorem of $a^{2}+b^{2} = c^{2}$

$x^{2} + (2x+6)^{2} = (2x+9)^{2}$

Multiply out to get:

$x^{2} +4 x^{2} +24x+36=4 x^{2} +36x+81$

The $4 x^{2}$ will cancel out each other when you combine like terms to get all the terms on one side of the equal sign.

Combine like terms with the rest to end with $x^{2} -12x-45=0$

Factor this to get $(x-15)(x+3) = 0$ then set each factor equal to zero.

You end up with two solutions, x = 15 and x = - 3 HOWEVER distance cannot be measure in negatives so that answer will not work so x = 15. Now plug into our given information.

The short leg is 15 cm long.
The longer leg of 2(15) + 6 = 36 cm long
The hypotenuse of 2(15) + 9 = 39 cm long.

You can check your answers by plugging them into the Pythagorean Theorem again.

8 0

4 years ago

I'm stuck on this question please hurry

leva [86]

Can you take a more clear photo ?

6 0

4 years ago

PLEASE HELP!<br> WILL MARK BRAINLIEST!

RideAnS [48]

Answer:

1) 7m

2) 13

3) 4x^2y

4) 6s^3t^4

Step-by-step explanation:

gcf means the the greatest factor that works for both terms

1) 21m^3 and 28m

let's first find the gcf for the coefficient

21 and 28, the gcf is 7. (hopefully thats easy to explain)

the gcf for the variables is the same mindset as the numbers

m^3 and m, both can be factored by m

so the gcf is 7 * m which is 7m

13x and 26

let's first find the gcf for the coefficient

13 and 26, gcf is 13

there's only one variable, x, so there's not gcf for that

so the gcf is just 13

8x^2y and -12x^3y^2

let's first find the gcf for the coefficient

8 and -12, the gcf is 4 (you can also say -4)

for the variables , same mindset

x^2y and x^3y^2

the gcf for x is x^2, and for y it is just y

so 4 * x^2 * y = 4x^2y

by understanding 3) hopefully you can understand 4)

pls comment for any questions

7 0

4 years ago

Given JKN = LMN and LKN and JMN. Prove: JKLM is a parallelogram.

inessss [21]

Answer:

JNM = KNL and JKL = LMJ

Step-by-step explanation:

6 0

3 years ago

The perimeter of a square is 96cm. Find the side of the square

alexandr1967 [171]

Since all sides of the square are equal,therefore perimeter of square = 4*side

we have the perimeter = 96 cm
therefore,
96 = 4*side
side = 96/4 = 24 cm

7 0

3 years ago