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3 years ago

7

Both the numerator and the denominator of 18/21 can be divided by

2 answers:

DerKrebs [107]3 years ago

5 0

They are both divisible by 3. Which would make your answer 6/7.

amm18123 years ago

3 0

18 and 21 can both be divided by 3

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POSSIBLE POINTS

blondinia [14]

Answer:

12white

12 coloured

12-12=0

4 0

4 years ago

Find g(x), where g(x) is the translation 3 units down of f(x)=x^2

Viefleur [7K]

Answer:

g(x)=x² -3

Step-by-step explanation:

Vertical and horizontal translations are the displacements of a function in the coordinate system (x, y). By transferring the graphical representation of a given function, we obtain representations of related functions. The graph of the translated function will always be the same as the original.

When performing a vertical translation of a function, the graph will move from one point to another determined point in the direction of the "y" axis, that is, up or down.

So, the algebraic expression of the parabola that results from moving the parabola f (x) = x² vertically is f (x) = x² + q

If q> 0, the parabola moves q units up.

If q <0, the parabola moves q units down.

So the vertex of the parabola is at the point (0, q).

So if the function f (x) = x² is translated 3 units down, the function g (x) will be:

<u><em>g(x)=x² -3</em></u>

5 0

3 years ago

Find the perimeter of the polygon with the vertices A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

Brilliant_brown [7]

Given:

The vertices of a polygon are A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

To find:

The perimeter of ABCD.

Solution:

Distance formula:

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

Using distance formula, we get

$AB=\sqrt{(4-(-1))^2+(1-1)^2}$

$AB=\sqrt{(4+1)^2+(0)^2}$

$AB=\sqrt{(5)^2}$

$AB=5$

Similarly,

$BC=\sqrt{(4-4)^2+(-2-1)^2}=3$

$CD=\sqrt{(-1-4)^2+(-2-(-2))^2}=5$

$AD=\sqrt{(-1-(-1))^2+(-2-1)^2}=3$

Now, perimeter of ABCD is

$P=AB+BC+CD+AD$

$P=5+3+5+3$

$P=16$

Therefore, the perimeter of ABCD is 16 units.

5 0

3 years ago

John borrowed $ from bank for 3 years at a rate of 10%

garik1379 [7]

<h3>Given:</h3>

P= $12500
R= 10%
T= 3 years

<h3>Note that:</h3>

P= Principal amount
R= Rate of interest
T= Time period

<h3>To find:</h3>

The simple interest
The total amount paid

<h3>Solution:</h3>

$\large\boxed{Formula: I= \frac{PRT}{100}}$

First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).

$12500×10×3$

$=375000$

Now, we'll have to divide the amount (375000) by 100.

$\frac{375000}{100}$

<em>I=$3750</em>

Now, we can find the total amount paid.

$\large\boxed{A=SI+P}$

Let's substitute according to the formula.

$A=3750+12500$

<em>A=$16250</em>

<u>Therefore</u><u>,</u><u> </u><u>simple</u><u> </u><u>interest</u><u> </u><u>is</u><u> </u><u>$</u><u>3</u><u>7</u><u>5</u><u>0</u><u> </u><u>and</u><u> </u><u>$</u><u>1</u><u>6</u><u>2</u><u>5</u><u>0</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>in</u><u> </u><u>total</u><u>.</u>

5 0

2 years ago

Write an addition equation or a subtraction equation (your choice!) to describe the diagram.

igor_vitrenko [27]

Addition: -9 + -2 = -11

Substraction: -9 - 2 = -11

3 0

2 years ago