What is 1 over 10 as a percentage?

What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 8y + 21=0

NeTakaya

Answer:

Step-by-step explanation:

(x²-6x)+(y²+8y)=-21

(x²-6x+9)+(y²+8y+16)=-21+9+16

(x-3)²+(y+4)²=4

center=(3,-4),radius=√4=2

7 0

3 years ago

Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript neg

lana66690 [7]

Answer:

$\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}$

Step-by-step explanation:

Given

$x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}$

Required

Find the equivalent

To find the equivalent of the given expression; we have to apply laws of indices;

As a law;

$a^{-m} = \frac{1}{a^m}$

So; the expression $x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}$ becomes

$x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}$

This is further simplified to

$x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}$

$x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}$

Combine to form a single fraction

$\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}$

Multiply numerator

$\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}$

The expression can not be further simplified

Hence $x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}$ is equivalent to $\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}$

8 0

3 years ago

The polygons below are similar, but not necessarily drawn to scale. Find x.<br> 4 +<br> 36<br> AM

Mamont248 [21]

Answer:

x = 20

Step-by-step explanation:

In similar polygons, all corresponding sides are proportional. The scale factor between AB and DE is the same as between AC and DF.

$\frac{DE}{AB}=\frac{DF}{AC}\\\\\frac{4+x}{4}=\frac{36}{6}\\\\6(4+x)=4(36)\\24+6x=144\\6x=120\\x=20$

You can confirm that by plugging it back into the original equation:

$\frac{4+x}{4}=\frac{36}{6}\\\\\frac{4+(20)}{4}=\frac{36}{6}\\\\\frac{24}{4}=\frac{36}{6}\\\\6=6$

3 0

3 years ago

A muffin sale at the Community Theater Fall Festival took in $84.75. All muffins sold for $0.75 each. How many muffins were sold

ki77a [65]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the equation of the line in slope-intercept form perpendicular to the line y= 3/2x-6 and passing through the point (9,-4)

anygoal [31]

Answer:

y = -(2/3)x + 2

Step-by-step explanation:

Perpendicular lines have slopes that are opposite reciprocals of each other. That means you take the slope, flip the fraction, and change the sign.

Here our given line is y = (3/2)x - 6 so the slope 5/9

The opposite reciprocal of 3/2 is -2/3

We set up the equation

y = -(2/3)x + b

we are given a point (x, y) of (9, -4), so plug that in and solve for b

-4 = -(2/3)(9) + b

-4 = -6 + b

2 = b

So our equation is y = -(2/3)x + 2

8 0

3 years ago