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3 years ago

Solve the following: (1 point) x + 3y = 9 3x − 3y = −13

Mathematics

1 answer:

sp2606 [1]3 years ago

7 0

Answer:

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

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Equation Form:

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Equation of a line in point slope form passing through (8,2) and (4,5)

adelina 88 [10]

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

what does m equal?

3 0

3 years ago

In the diagram, the radius of the outer circle is

JulijaS [17]

the value of x is 8 cm.

Step-by-step explanation:

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle = πr²

the outer circle area = $\pi(2x)^2 =4\pi x^2$

the inside circle area = $\pi (6)^2= 36\pi$

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ $\pi (4x^2)-36\pi =220\pi$

⇒ $x^2-9 =55$

⇒ $x^2=64$

⇒ $x =\sqrt{64}=8$

Therefore , the value of x is 8 cm.

5 0

3 years ago

If f(x)=3x^2+2×=1 find f(x+2)

harkovskaia [24]

Answer:

f(x+2) = 3(x+2)^2 + 2(x+2 + 1

Step-by-step explanation:

you need to replace the x with x+2

3 0

3 years ago

What is the completely factored form of f(x)=x3+5x2+4x−6?

Gre4nikov [31]

$f(x)=x^3+5x^2+4x-6$
$f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)$

Synthetic division yields

-3 | 1   5   4   -6
.    |      -3 -6    6
- - - - - - - - - - - - -
.    | 1   2 -2    0

which translates to

$\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2$

with remainder 0. Now by the quadratic formula,

$x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3$

and so

$f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))$

3 0

3 years ago

What is the solution f/4 = 12/5

Ede4ka [16]

Answer:

f = 48/5

Step-by-step explanation:

5f = 12 * 4

5f = 48

f = 48/5

7 0

3 years ago