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3 years ago

Solve the proportion x/8= 3/12. Please help.

Mathematics

1 answer:

galben [10]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{x}{8} = \frac{3}{12} \\ \\ x = \frac{8 \times 3}{12} \\ \\ x = \frac{24}{12}\\ \\ x = 2$

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What is the 4th term in the sequence b(n)=1(-2)^n-1

mel-nik [20]

$b(n)=1(-2)^n-1$

When n = 4,
$b(4)=1(-2)^4-1$

$b(4)=16-1$

$b(4)=15$

-------------------------------------------------------------

$b(n)=1(-2)^{n-1}$

When n = 4
$b(4)=1(-2)^{4-1}$

$b(4)=1(-2)^3$

$b(4)=1(-8)$

$b(4)=-8$

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3 years ago

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Mazyrski [523]

Step-by-step explanation:

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2 years ago

Which equation will be parallel to y=6 A)Y= -6x B)X=6 C)y=1 D)Y=6x

galben [10]

Answer:

Step-by-step explanation:

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3 years ago

Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Digiron [165]

Answer:

$(x+2)^2+(y-4)^2=16$

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is $4$ .

We know that the circle is tangent to the $X$ axis at $(-2,0)$

That means the x coordinate of the center has to be $-2$ , as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is $(-2, 4)$ and a point on the edge of the circle (the tangent point) which is $(-2,0)$ . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. When we put the numbers in: we get $(x-(-2))^2+(y-(4))^2=4^2$ which can be simplified into $(x+2)^2+(y-4)^2=16$ which is the answer.