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3 years ago

Callie has 6 yards of green fabric and 4 yards of white fabric.

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

16 feet left

Step-by-step explanation:

one yard = 3 feet

so:

6 yards = 18 feet

24 inches = 2 feet

18 feet - 2 feet = 16 feet

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What equation is the inverse of 2(x-2) ^2 =8(7+y)

Delvig [45]

Answer:

- Y=2+√4x+28 -

Step By Step:

Ok so, the original expression is 2(x - 2)² = 8(7 + y).

First you Rewrite the expression as 7 + y = (2/8)*(x-2)² = (1/4)*(x-2)²

So know its; y = (1/4)(x-2)² - 7

To find the inverse, switch x and y, and solve for y.

x = (1/4)(y-2)² - 7

Then you Multiply through by 4

4x = (y-2)² - 28

(y-2)² = 4x + 28

y - 2 = √(4x + 28)

y = 2 +/- √(4x + 28)

5 0

3 years ago

In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost

Elis [28]

Answer:

no and they need 936 more dollars

Step-by-step explanation:

4 0

3 years ago

A circle has the order pairs (-1, 2) (0, 1) (-2, -1) what is the equation . Show your work.

olga55 [171]

We know that:

$(x-a)^2+(y-b)^2=r^2$

is an equation of a circle.

When we substitute x and y (from the pairs we have), we'll get a system of equations:

$\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}$

and all we have to do is solve it for a, b and r.

There will be:

$\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}\\\\\\
\begin{cases}1+2a+a^2+4-4b+b^2=r^2\\a^2+1-2b+b^2=r^2\\4+4a+a^2+1+2b+b^2=r^2\end{cases}\\\\\\
\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\\\\\
$

From equations (II) and (III) we have:

$\begin{cases}a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\--------------(-)\\\\a^2+b^2-2b+1-a^2-b^2-4a-2b-5=r^2-r^2\\\\-4a-4b-4=0\qquad|:(-4)\\\\\boxed{-a-b-1=0}$

and from (I) and (II):

$\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\end{cases}\\--------------(-)\\\\a^2+b^2+2a-4b+5-a^2-b^2+2b-1=r^2-r^2\\\\2a-2b+4=0\qquad|:2\\\\\boxed{a-b+2=0}$

Now we can easly calculate a and b:

$\begin{cases}-a-b-1=0\\a-b+2=0\end{cases}\\--------(+)\\\\-a-b-1+a-b+2=0+0\\\\-2b+1=0\\\\-2b=-1\qquad|:(-2)\\\\\boxed{b=\frac{1}{2}}\\\\\\\\a-b+2=0\\\\\\a-\dfrac{1}{2}+2=0\\\\\\a+\dfrac{3}{2}=0\\\\\\\boxed{a=-\frac{3}{2}}$

Finally we calculate $r^2$ :

$a^2+b^2-2b+1=r^2\\\\\\\left(-\dfrac{3}{2}\right)^2+\left(\dfrac{1}{2}\right)^2-2\cdot\dfrac{1}{2}+1=r^2\\\\\\\dfrac{9}{4}+\dfrac{1}{4}-1+1=r^2\\\\\\\dfrac{10}{4}=r^2\\\\\\\boxed{r^2=\frac{5}{2}}$

And the equation of the circle is:

$(x-a)^2+(y-b)^2=r^2\\\\\\\left(x-\left(-\dfrac{3}{2}\right)\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}\\\\\\\boxed{\left(x+\dfrac{3}{2}\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}}$

7 0

3 years ago

Help please!!!!!!!!!!!!!!!!!

krok68 [10]

C. 0.25 because you divide 0.06 by 0.24

5 0

3 years ago

The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co

Ulleksa [173]

Answer:

168.24784 m²

Step-by-step explanation:

Area of the square:

28 x 28=784 sq. m.

Area of the circle:

π(r²)=π(14)²=196π

=615.75216

Area not covered by the sprinkler:

784-615.75216=168.24784 m²

6 0

3 years ago

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