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2 years ago

The area of a rectangular rug is 15 feet squared. If the width of the rug is 3 feet, what is the length of the rug.

Mathematics

2 answers:

Molodets [167]2 years ago

7 0

Answer:

Step-by-step explanation:

if the area is 15 you would divide 15 by 3 and you'll get the length of 5

aliya0001 [1]2 years ago

7 0

Answer:

5 feet

Step-by-step explanation:

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Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin

Elanso [62]

Answer:

The equation of circle is $x^2+y^2=65$ .

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula the radius of circle is

$r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}$

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and $r=\sqrt{65}$ in equation (1).

$(x-0)^2+(y-0)^2=(\sqrt{65})^2$

$x^2+y^2=65$

Therefore the equation of circle is $x^2+y^2=65$ .

5 0

3 years ago

What is the equation of the midline for the function f (x)?<br><br> f (t) = 3 cos (x) – 2.5

zaharov [31]

Answer:

y = -2.5

Step-by-step explanation:

For such a problem as this, you can replace all sine or cosine functions with their midline value of 0. Then you have ...

f(x) = 0 -2.5

which simplifies to ...

f(x) = -2.5

You can leave the equation like this, or write it as ...

y = -2.5

_____

Perhaps you can see that the midline is the value of any constant added to a sine or cosine function.

6 0

2 years ago

Please help. Find the value of x in the triangle shown below.<br> 5<br> 8

Levart [38]

Answer:

x=+- $\sqrt{89}$

Step-by-step explanation:

$x^{2}$ = $8^{2}$ + $5^{2}$

$x^{2}$ =64+25

$x^{2}$ =89

x=+- $\sqrt{89}$

4 0

3 years ago

Which graph can be used to find the solution(s) to x2-4x+4=2x+1+x2?

Damm [24]

The answer is x=1/2 or 0.5

4 0

3 years ago

Read 2 more answers

Which line is a directrix of the hyperbola? A B C D

hoa [83]

Answer:

The hyperbola has two directrices, one for each side of the figure. You can see the hyperbola as two parabolas in one equation. So, as parabolas have directrix, hyperbolas does too.

The directrices are perpendicular to the major axis. That means if the parabolla is horizontal, then its directrices are vertical, and viceversa.

Therefore, to find the right line that forms the directrix of a hyperbola, you just need to use the directrix that is perpendicular to the major axis.

3 0

2 years ago