All categories

2 years ago

Solve the system of equations using elimination. 4x+3y=3 4x-2y=18

Mathematics

2 answers:

eduard2 years ago

5 0

The answer us 71633912

klasskru [66]2 years ago

4 0

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form: (3, -3)

Equation form: x = 3, y= -3

You might be interested in

Abc and def are complementary angles what is the measure of x?

notka56 [123]

Complementary angles add to 90 degrees. This means that 65 + x = 90, so x = 90 - 65 = 25.

5 0

2 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

2 years ago

For the following inequality, indicate whether the boundary line should be dashed or solid. x ≤ 5

lukranit [14]

Answer: The boundary lien should be solid because the inequality indicates that the value “5” is included. Remember: “greater than or equal to; less than or equal to,” as solid lines. While “<;>” are dashed lines.

6 0

3 years ago

Consider the arithmetic series 3+7+11+ 15 +19+23+27+ .. and answer the questions which follow

neonofarm [45]

Answer:

T1 =3, S1 = 3

Step-by-step explanation:

i)T1 =3, S1 = 3

ii) S1 = T1

Hope it helps you in your learning process.

5 0

2 years ago

Read 2 more answers

Simplify the following expression: -7(3e-2f+4)+6e-2

tankabanditka [31]

Answer:

-15e+14f-30

Step-by-step explanation:

First using distributive property to expand the first term:

-21e+14f-28+6e-2

Combining like terms:

-15e+14f-30

3 0

2 years ago