Write x^2-8x+22 in the form (x-a)^2 +b

Answer:

The scale factor of a dilation is 3.

Step-by-step explanation:

Given the length ST of the rectangle RSTU

The length ST of the rectangle = 8 units

It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8

i.e.

S'T' = 3(ST)

S'T' = 3(8)      ∵ ST = 8

S'T' = 24

It indicates that the RSTU has been dilated by a scale factor of 3.

As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.

Therefore, the scale factor of a dilation is 3.

Answer:

52

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

3 x 3=9

2 x 2=4

1x1=1

-1x-1=1

9+4+1+1=15

Answer:

15

Step-by-step explanation:

The square of 3 is 3 times 3, so 9.

2 times 2 is 4.

1 times 1 is 1.

-1 times -1 is 1, because the negative cancels out.

So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.

Answer:

x=60

Step-by-step explanation:

my dad is a math teacher so I am good at math. I also used a calculator

Answer:

5 T

Step-by-step explanation:

It is the only one remotely close to the weight of a pick-up truck.

Answer:

No

yes

no

yes

Step-by-step explanation:

your welcomeeeeeeeee

Answer:

y=-1x+9

Step-by-step explanation:

plug point in to y-y1=m(x-x1)

y-3=-1(x-6)

y-3=-1x+6

y=-1x+9

Answer:

829.09

Step-by-step explanation:

Hope this helps :)

Answer:

b) similar by SSS theorem

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 and 1/6

Answer:

AC=13, DE=24

Step-by-step explanation:

we find it using Pythagoras theorem, a²+b²=c²

note that 'c²' always represent the hypotenuse

for the first triangle,

5²+12²=25+144=169, this is the square form

√169=13

AC=13

for the second,

10²+b²=26², we will rearrange the formula so that we could find 'b'

b²=26²-10²

b²=676-100

b²=576

b=√576

b=24

DE=24

i hope this helps

Stay safe from the virus

Answer: 10

Step-by-step explanation:

Answer:

It's the dot that's right in the middle of the rest, where the two lines meet.

Step-by-step explanation:

That's the equilibrium point.

The equilibrium point of the given graph is at (35, 90)

The demand curve shows the quantities of a particular good or service that buyers will be willing and able to purchase at each price during a specified period. The supply curve shows the quantities that sellers will offer for sale at each price during that same period.

Given that, the supply and demand curves for a new style of silver earrings are shown.

We need to find the equilibrium point,

We know that, On a demand and supply graph, the equilibrium point can be found where the demand and supply curves intersect. Price is on the axis on both the demand and supply curves, and quantity demanded is on the axis.

In our graph, the curves are intersecting at (35, 90)

Hence, the equilibrium point of the given graph is at (35, 90)

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Answer:

16 is the answer

Step-by-16step explanation:

The required distance run by the rudy in 2 hours is 16 miles.

Given that,

The distance covered by the three runners and the time they spent running is shown in the table. If Rudy continues at the rate in the table, how far will he run in 2 hours is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The rate of the Rudy running = 12 / [ 3 / 2] = 8 miles per hour
Now,
For time 2 hour the distance run by Rudy = 8 × 2 = 16 miles.

Thus, the required distance run by the rudy in 2 hours is 16 miles.

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Answer:When you ask, "What is 58.84 as a decimal?", we assume you want to know what 58.84 percent is as a decimal. In other words, 58.84 percent converted to decimal.

First, we will tell you why it is useful to know 58.84 as a decimal.

Normally, to calculate 58.84 percent, you would multiply a number by 58.84 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 58.84 as a decimal to get the answer.

58.84 ÷ 100 = 0.5884

Step-by-step explanation: there you go :)

Answer:

.60 I think

I hope you get it right

Answer:

∠ 1 = 110°, ∠ 2 = 70°

Step-by-step explanation:

∠ 1 and 110° are vertical angles and are congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are same- side interior angles and supplementary, sum to 180°

∠ 1 + ∠ 2 = 180°

110° + ∠ 2 = 180° ( subtract 110° from both sides )

∠ 2 = 70°

9514 1404 393

Answer:

  m∠W = m∠S = 126°

  m∠E = m∠T = 54°

  x = 24

  y = 8

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so we have ...

  ∠E = ∠T

  3x -18 = 2x +6

  x = 24 . . . . . . . . . add 18-2x

Then the measure of these angles (in degrees) is ...

 ∠E = ∠T = 2x+6 = 2(24) +6 = 54

__

The adjacent angle W is supplementary to either of these:

  ∠W = 180° -∠E

  15y +6 = 180 -54

  15y = 120

  y = 8

  ∠W = ∠S = 126°

Answer:

y = 8

Angle S= 126°

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer:

( 2 + y ) - 4

Answer:

751 cupcakes must be sold to make a profit

Step-by-step explanation:

From the question we are told that

Annual cost= $1,500 per year plus a cost of $1 per cupcake

Each cup cake sell at $3

Generally the profit off the top of each cupcake is $2

Therefore

  [tex]\frac{1500}{2}=750[/tex]

This implies that 750 cupcakes will be sold to cover the annual cost excluding cupcake cost

Generally

751 cupcakes=$1502

Total Annual cost to make a profit

[tex]1(cost\ of\ each\ cupcake)*751+1500=\$2251[/tex]

Total Annual sale

[tex]3(sale of each cupcake)*751=\$2253[/tex]

Mathematically

[tex]2253\$-2251\$=2\$[/tex]

Therefore

751 cupcakes must be sold to make a profit

Answer:

14 and 12

Step-by-step explanation:

Answer:

.4763

Step-by-step explanation:

A percent can be made into a decimal by moving the decimal two places to the left.

Step-by-step explanation:

29 cookies

Carla has X cookies

Andrew has 8+ 2X cookies

x + 8 + 2x = 29

3x = 29-8

3x= 21

x = 7 / Carla has 7 cookies

8+ 2x = 8+2•7= 8+14=22 / Andrew has 22 cookies

Answer: Its a

Step-by-step explanation:

The value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.

Given equation is,

                     [tex](x-3)^{2}=5[/tex]

We have to solve above quadratic equation.

Expand above equation first,

                 [tex](x-3)^{2}=5\\\\x^{2} +9-6x=5\\\\x^{2} -6x+4=0\\\\x=\frac{6\pm \sqrt{36-16} }{2} \\\\x=3\pm\sqrt{5}[/tex]

Thus, the value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.

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Answer:

260 miles

Step-by-step explanation:

Given that:

Distance covered in 7 hours = 455 miles

Number of miles train will travel in 4 hours

Average travel speed per hour :

Distance traveled / time taken

455 miles / 7 hours

= 65 miles per hour

Number of miles traveled in 4 hours :

Average Speed per hour * time

(65 * 4) = 260 miles