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3 years ago

What is the solution to this system of linear equations?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

X= 4

Y= -2

Step-by-step explanation:

$y - x = 6(1) \\ y + x = - 10(2) \\ (1) + (2) \\ 2y + x - x = - 10 + 6 \\ 2y = - 4 \\ y = - 2 \\ from(1) \\ - 2 - x = 6 \\ - 2 + 6 = x \\ x = 4$

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I WILL MARK AS BRAINLIEST! Solve For X and Y

Lilit [14]

Answer:

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3 years ago

Read 2 more answers

7. Find a conversion factor between cubic meters and cubic

RUDIKE [14]

Step-by-step explanation:

We know that,

1 m = 100 cm

the conversion from m² to cm² is as follows :

(1 m)² = (100 cm)² = 10000 cm²

A conversion factor between cubic meters and cubic centimeters is as follows :

(1 cm)³ = (100 cm)³

= 1000000 cm³

To convert m³ to cm³, multiply by 1000000.

Hence, this is the required solution.

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4 years ago

Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry

almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

$\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}$

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0

3 years ago

Which ordered pair is not a solution of y = -3x + 4

lakkis [162]

Test
remember, (x,y)

A.
10=-3(-2)+4
10=6+4
10=10
yep, this is a soltuion

B.
5=-3(3)+4
5=-9+4
5=-5
false, not a solution

C.
4=-3(-2)+4
4=6+4
4=10
nope, not a solution

D.
1=-3(1)+4
1=-3+4
1=1
true

hmm, I think if B was (3,-5) then C is the only one

C is the answer

3 0

3 years ago

Find the midpoint of the line segment joining the points (-5, 2) and (3. -8).

egoroff_w [7]

Hey there! :)

Answer:

(-1, -3)

Step-by-step explanation:

Use the midpoint formula to derive the coordinates of the midpoint:

$(x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+ y_{2} }{2} )$