What is the diameter, radius, r2, and circumference?<br> 3 cm<br> I will give u the brainlest!!!!!

Consider the equation: 3 4 x − 12 = 12 Which statement could be a translation of the given equation? A number minus 12 is three-

musickatia [10]

Answer:

<h3>The translation statement for the given equation $\frac{3}{4}x-12=12$ is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

Step-by-step explanation:

Given equation is $\frac{3}{4}x-12=12$

<h3>To find the statement which could be a translation of the given equation :</h3>

$\frac{3}{4}x-12=12$
The above equation can be written as
Three-fourths of a number x minus twelve is equal to twelve.

<h3>Therefore the translation statement for the given equation $\frac{3}{4}x-12=12$ is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

The option is <u> " Three-fourths of a number minus twelve is the same as twelve. "</u> correct

4 0

3 years ago

Read 2 more answers

The line through (-1/2, -7/2) and (2, 14) in slope intercept form??

icang [17]

To find the equation of a line in slope-intercept form given two points, we must arrange the points this way to find the slope ( $m$ ):

$m = \frac{y_{2}-y _{1}}{x_{2}-x_{1}}$

We can replace the variables in this equation with the values from the points we have been given, ( $\frac{-1}{2}, \frac{-7}{2}$ ) and (2, 14). We know that the x-values always come first in an ordered pair, so we can put those in our equation first.
It doesn't really matter which x-value goes in which x-value slot in the equation as long as you match up the y-values in the same fashion. But for the sake of convenience, we will call the 2 in the second ordered pair $x_{2}$ and the $\frac{-1}{2}$ in the first ordered pair $x_{1}$ .
Now, we can match these values in our equation, and while we're at it, we can substitute the appropriate y-values into their places as well.

$m = \frac{y_{2}-y _{1}}{x_{2}-x_{1}}$

$m = \frac{14 - \frac{-7}{2} }{2 - \frac{-1}{2} }$

Now, we can see that we are subtracting negatives in this equation. Remember that whenever you subtract a negative, it is the same as adding a positive. So, this equation could be rewritten as

$m = \frac{14 + \frac{7}{2} }{2 + \frac{1}{2} }$

and we can change the improper fraction in the numerator into a mixed number for ease of addition.

$m = \frac{14 + 3 \frac{1}{2} }{2+ \frac{1}{2} }$

And here, we can add, since it's made simple for us.

$m = \frac{17 \frac{1}{2} }{2 \frac{1}{2} }$

Finally, to get the slope we can complete the fraction by dividing.

$17.5 ÷ 2.5 = 7$

The slope of this equation, $m$ , is 7, and so far, our equation looks like this:

$y = 7m + b$

Now, to find y-intercept.

To do this, we simply have to substitute one of the ordered pairs in for the appropriate x- and y-values and solve. To make it easier on ourselves, we can use (2, 14) so we don't have to deal with negative numbers or fractions.

$y = 7x + b$

Let us substitute in our values.

$14=7(2)+b$

Now, we can solve by multiplying the 7 and 2.

$14=14+b$

Here, we can subtract 14 from both sides, since it is added to both in the equation, and we are left with

$0 = b$

which can be flipped around to show

$b=0$

The y-intercept of this line is 0.

Now, we can make this known in our equation like this:

$y=7x+0$

Or, for neatness' sake, we can just say

$y=7x$

which is your final equation.

The line through ( $\frac{-1}{2}, \frac{-7}{2}$ ) and (2, 14) in slope-intercept form is <span> $y=7x$ .
Hope that helped! =) </span>

7 0

3 years ago

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers

Your furniture store sells two types of dining room tables. The first, type A, costs $210 and you make a $21 profit on each one.

zimovet [89]

<u>Answer</u>

In order to minimize total cost sell A type 40 numbers and B type 90 numbers

<u>Solution</u>

furniture store sells two types of dining room tables.

The first, type A, costs $210 and you make a $21 profit on each one.

The second, type B, costs $180 and you make a $20 profit on each one.

We can order no more than 130 tables this month, and you need to make at least $2640 profit on them.

Let x be the number table Type A sold, type B sold = 130-x

To find the value of x

21x +(130-x)20=2640

solving we get x=40

There are two possibilities

1)

A type sold =40 B type sold = 130 - 40 =90

total cost = 40 x 210 + 90 x 180 = 24600

2)

A type sold =90 B type sold = 130 - 90 =40

total cost = (90 x 210) + (40x180)=26100

In order to minimize total cost, choose first possibility

sell A type 40 numbers and B type 90 numbers

7 0

3 years ago

Arc Length. BRANLIEST

MaRussiya [10]

Answer: The length of an arc is simply the length of its "portion" of the circumference. The circumference itself can be considered a full circle arc length. Arc Measure: In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.

Step-by-step explanation:

3 0

3 years ago

What is the diameter, radius, r2, and circumference? 3 cm I will give u the brainlest!!!!!