roatate triangle p 90* clockwise about the point (2,-1)

Answer:

[tex](x-4)^2+(y-3)^2=25[/tex]

Step-by-step explanation:

We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:

[tex]3x+4y=24[/tex]

Find the intercepts first. To find the x-intercept, let y = 0:

[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]

The x-intercept is (8, 0).

To find the y-intercept, let x = 0:

[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]

The y-intercept is (0, 6).

Since this segment is the diameter, its midpoint is our center.

Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:

[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Hence, the center of the circle is:

[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]

To find the radius of our circle, we can find the diameter and divide it by two.

The diameter is the length of the segment or the distance from (0, 6) to (8, 0).

Find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

So, the diameter of our circle is:

[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]

Therefore, the radius of our circle is 5.

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Our center is (4, 3) and our radius is 5.

Therefore:

[tex](x-4)^2+(y-3)^2=25[/tex]

the height of the prism is 12 centimeters

Answer:

w = 13/2 or 6.5

Step-by-step explanation:

2w - 5 = 8

Add 5 to each side

2w - 5+5 = 8+5

2w = 13

Divide by 2

2w/2 = 13/2

w = 13/2 or 6.5

Answer:

13/2

Step-by-step explanation:

the steps are in the screenshot attached.

Answer:

yes

Step-by-step explanation:

it passes the verticle line test which states that if you put a verticle line anywhere on the graph it will only have one point in where the two lines intersect

Answer:

1

Step-by-step explanation:

5-4 = 1

4.5-4 = 0.5

2.5-4 = -1.5 but use absolute value which is +1.5

add all three values together:

1 + 0.5 + 1.5 = 3

3÷3 = 1

percent of increase in students is 27.525%

Answer:

Solution given:

first total no of students [FD]=396

next total no of students [ND]=505

increase %=?

we have

increase %=[tex]\frac{ND-FD}{FD}×100=\frac{505-396}{396}×100=27.525%[/tex]%

Increase in students

Percentage increase

Answer:

$7.50

Step-by-step explanation:

25% of $30 is $7.50

Answer:

7.50

Step-by-step explanation:

100%-> 30

1%->0.30

25%-> 7.50

Answer:

false

Step-by-step explanation:

it is false bird a has the genotype ll for bill length and bird b is LL. A short bill describes bird a's genotype

Answer:

the answer would be 20 :)

Step-by-step explanation:

Answer:

[tex]ZX = 4cm[/tex]

Step-by-step explanation:

Given

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

Required

Find ZX

[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar

[tex]PQ \to XY[/tex]

[tex]QR \to YZ[/tex]

[tex]RP \to ZX[/tex]

To find ZX, we make use of the following equivalent ratio

[tex]PQ : XY = RP : ZX[/tex]

Where

[tex]PQ = \frac{1}{2}XY[/tex]

[tex]RP = 2cm[/tex]

So, we have:

[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]

Express as fraction

[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]

[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]

Make ZX the subject

[tex]ZX = 2 * 2cm[/tex]

[tex]ZX = 4cm[/tex]

Answer:

f(x) - g(x) = x - 3

Step-by-step explanation:

f(x) - g(x)    starting with the basic equation

2x - (x + 3)    implementing the values into equation

x - 3       subtracting x and 3 from 2x making 2x into 1x (or just x) and making a       negative 3

Answer:

y=76+2.5x where y is the amount he earns in a day and x is the number of tshirts sold

y=76+2.5(32)

y=76+80

y=156

he earns 156 dollars if he sold 32 tshirts

Step-by-step explanation:

Answer: a. -6x

b. 3a; -3a2 (square) ; - 6

Step-by-step explanation:

Answer:

From least to greatest: -12 -8 -2 5 11

Step-by-step explanation:

Please mark brainliest have a good day and i hope i helped :)

Answer:

(11)=(3)-(1)+(6)=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

How to add a great answer

ADD YOUR ANSWER

Question

Find the coordinates of the

x

-intercepts for the equation of the graph below.

y

=

x

2

+

9

x

Answer:

# means number

Step-by-step explanation:

Distance = Y-axis or output

Cost= X-axis or input

you do not need to add the brackets for the formula(BEDMAS), but it makes things clearer

For A -

the Y-intercept is where the first coordinate, or the # or the X-axis, is 0 (on the graph the y-intercept 0,4)

For B -

y = mx + b

m =  slope

x = input or # on the X-axis

b = y-intercept

or

formula = (input x increase in the slope) + output for 0 or (distance x increase in cost) + output for 0

input(x axis)         output(y axis)

0                 5    ← output for 0

1                  9  

2                 13

there is a +4 increase in the slope, the increase in the slope is an output #(in this case 9) - the previous output number (in this case 5)

formula = (input x increase in the slope) + output for 0 = distance

formula in use = (3 x 4) + 5 = 17

For C:

The dependent variable is the output or the cost because the input or the distance will determine the cost travelled. Eg. if I travel 9 miles it will cost $41. If the dependent variable is the cost then the independent variable is the distance

For D: (input x increase in the slope) + output for 0

(4.2 miles x $4) + 5

16.8 + 5 = $21.8; It will cost $21.8 to travel 4.2miles

For E: (distance x increase in cost) + output for 0

(? x 4) + 5 = 14

(14 - 5) = 9

9 ÷ 4 = 2.25miles; with 14 dollars I could travel 2.25 miles

(It is a bit confusing lol, but this is the way I understand it, if you can't understand it this way then use y = mx + b)

Answer:

As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:

A = LW

we then substitute them

34 square feet = x (x/2)

now all we need to do is find x first.

34 square feet = x squared / 2

now do a cross multiplication

68 square feet = x squared

then get the square root of both sides

8.246 feet = x

Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...

W = x/2

W = 8.246 feet / 2

W = 4.123 feet

And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

Answer:

answer is 18.76 percent.

Step-by-step explanation:

CP= $40

SP= $32.5

Markdown percent=?

now,

markdown %= CP-Sp/CP×100%

=7.5/40×100%

=750/40

=18.75%

The amount to be reduced is:  $40 -  $32.5 =  $7.5

The percentage decrease is: (7.5 : 40) * 100 = 18.25%

Answer:

I don't understand kbhuo

Answer:

$3 (not exact, this is an estimate)

Step-by-step explanation:

Since it is estimate, it is not the exact amount. 20% is 1/5 and 15/5 = 3 so 1/5 or 20% is 3.  the best estimate for the amount of tip is $3.

Answer:

-1,024

Step-by-step explanation:

4×2=8

8×2=16

and so on repeating 7 times

Answer:

(3x - 5)²

Step-by-step explanation:

When we expand (3x - 5)², we get:

(3x - 5) (3x - 5)

When we multiply, we get:

9x² - 30x + 25

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Answer:(3x-5)(3x-5)

Step-by-step explanation: it's the answer for

Answer:

9,315 km

Step-by-step explanation:

Recall that distance = rate times time.

The distance flown at 950 km/h is (950)(5) km = 4,740 km

and:

The distance flown at 830 km/h is (830)(5.5) km = 4,565 km

Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km