The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?

Answers

Answer 1

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

The given vertices the ΔFGH are;

F(2, 1), G(4, 1), and H(4, -1)

The lengths of the sides of the triangle ΔFGH are;

The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2

The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2

The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2

After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;

The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)

The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4

The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2

The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4

The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH

Therefore, the scale factor of the dilation is 2.


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Answers

Answer:

x-intercept = 9 y-intercept = 5

Step-by-step explanation:

Use the distributive property to remove the parentheses.
-2(-5x – 4y+1)



doing a test !! answer quick!?

Answers

Answer:

10x + 8y - 2

Step-by-step explanation:

[tex]-2(-5x – 4y+1) \\ \\ = ( - 2)( - 5x) - 2 ( - 4y) - 2 \times 1 \\ \\ = 10x + 8y - 2[/tex]

. The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 21 girls in the class. What is the total number of students in Ms. Cunningham's class?

Answers

Answer:

14

Step-by-step explanation:

21 times 2 = 42

42 divided by 3 = 14

what is 32z-48 factored with gcf

Answers

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

Determine the value of −14.1 × (-7.33)

Answers

Answer:

Multiply -14.1 by -7.33.103.353     ?

Step-by-step explanation:

Sorry I'm not very good at math hope this helps..

Please help asap due soon

Answers

Answer:

15

Step-by-step explanation:

[3(9)-(-3)]/2

30/2=15

Answer:

Your answer should be 15.

Step-by-step explanation:

3 times 9 is 27. When you subtract a negative number they combine to sign to be a + so you would get 30 since you would be adding 3. You would then divide 30 by two to get 15! <3

Solve:
−7/3a+4=47/3

What is A
I will give extra points to who gets this right also will give brainliest

Answers

Answer:

a= -5

Step-by-step explanation

PEMDAS

What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.

Answers

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x

AB=10 and BC=20 What is AC

Answers

25 I think so I may be Incorrect

Answer:

6

Step-by-step explanation:

A to B is 10

B to C is 20

You add them together and you get 30. A straight line is equal to 180.

You divide 30 to 180 and you get is 6.

pls, help me 16 points :)

Answers

Answer:

I went through and graphed them all, and the graph for A matched perfectly :)

Step-by-step explanation:

What is the slope and does it pass?

Answers

Answer: no.

Step-by-step explanation:

it's 1 tenth

Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.

Answers

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

Put some coordinates on a graph and work it out pls worth 10pts

Answers

Answer: (-1,1)(1,1)(-2,-1)(2,-1)

Step-by-step explanation:

What is the answer? 2c-5 C=4

Answers

Answer:

2(4)-5=3

we know that C is going to be multiplied by 2 and the value of C=4

so 2*4 = 2(4)

2(4)-5

2*4=8

8-5=3

So, the answer is 3

Help please thank you

Answers

i think it’s the last one
130 degrees is the answer

Need help !!!! thanks

Answers

Answer:

same side interior, and adjacent

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee's net pay is $850.00. The employee's voluntary 401(k) contribution is $50.00 per month.

Answers

Answer:

$300 was deducted from tax. The tax rate is 26.1%

Step-by-step explanation:

An employee earns a gross pay of $1,200.00 per week. The employee’s net pay is $850.00. The employee’s voluntary 401(k) contribution is $50.00 per month.

There was blank deducted for taxes. The tax rate is blank

Solution:

Contributions that are made for retirement such as 401(k) contribution plans are made on a pretax basis. This means that they are removed from your taxable income, thereby reducing the tax.

Gross pay = $1200

Taxable income = Gross pay -  401(k) contribution

Taxable income = $1200 - $50 = $1150

Net pay = $850

Tax = Taxable income - Net pay

Tax = $1150 - $850

Tax = $300

Tax rate = (Tax / taxable income) * 100%

Tax rate = ($300 / $1150) * 100% = 26.1%

Please help me please

Answers

Im blind SKDJFJNEDKODNANSRNFIS

Answer:

I think this AB would equal 12! Let me know if its right or wrong :3

Step-by-step explanation:

if the original quanity is 10 and the new quanity is 12, what is the percent increase

Answers

Answer:

+20%

Step-by-step explanation:

None

Answer:

Step-by-step explanation:

20%

Holly has $225 to spend at the shopping mall. She decides to buy sweaaters and pants with her money. Sweaters cost $45 each and pants cost $25 each. The equation 45s + 25p = 225 represents this situation.

If Holly buys 3 sweaters, what is the greatest number of pants she can buy?

Answers

Answer:

3 pairs of pants

Step-by-step explanation:

Plug 3 in for s. Your equation should now be 45(3) +25p=225

Then distribute 135+25p=225

Subtract 25p=90

Divide p=3.6

Since you cannot buy half of a pair of pants you need to round down to three

Please help pass my final :(

Answers

Answer:

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

Step-by-step explanation:

Given

∠1 = 70°

To determine

We need to determine angle ∠5

From the diagram, it is clear that a transversal line crosses the two parallel lines, the angles in the matching corner would be corresponding angles.

We know that when two lines are parallel, their corresponding angles are equal.

As angle ∠5 is the corresponding angle of angle ∠1 = 70°.

Also, the corresponding angles are equal here.

Therefore,

if ∠1 = 70°, then ∠5= 70°

Hence, option (A) is correct.

please help and show work
19) Geoff owns a computer store in 1990 he sold 2400 monitors and in 2000 he sold 4000. Let x
represent the number of years since 1990. Write a linear equation in slope intercept form that
represents this data.

Answers

Answer:

B. [tex] y = 160x + 2400 [/tex]

Step-by-step explanation:

The linear equation for that represents the above data is given in slope-intercept form as [tex] y = mx + b [/tex], where:

m = slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

b = starting value = y-intercept = 2,400

Slope of the linear equation using (0, 2400) and (10, 4000):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4000 - 2400}{10 - 0} = \frac{1600}{10} = 160 [/tex]

Substitute m = 160, and b = 2,400 in [tex] y = mx + b [/tex].

Thus, the linear equation in slope-intercept form would be:

✅[tex] y = 160x + 2400 [/tex]

Select all the measurements that are equivalent to 2.4 meters.

0.0024 km

0.024 mm

0.24 cm

240 cm

2,400 mm

Answers

Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!

Step-by-step explanation:

The measurements that are equivalent to 2.4 meters are

0.0024km, 240cm and 2400mm.

The correct options are (A), (D) and (E).

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

A unit conversion expresses the same property as a different unit of measurement.

For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given,

measurement = 2.4 meters

1 meter = 1/1000 km

⇒ 2.4 meter = 2.4 /1000 = 0.0024 km

1 meter = 100 cm

⇒ 2.4 meters = 2.4×100 = 240 cm

1 meter = 1000 mm

⇒ 2.4 meters = 2.4×1000 = 2400 mm

Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.

Learn more about unit conversion here:

https://brainly.com/question/19420601

#SPJ2

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.


x 0 1 2 3

y 0 2 3 4

A.2/3

B.1/2

C.0

D.not proportional

Answers

The answer is is freaking A bro

Answer:

Hello! The Answer is not proportional. Hope this helps!

Step-by-step explanation:

5/9 x 9=?

simplify if possible and show the work​

Answers

5 is the answer
when you multiply the numerator by the reciprocal of the denominator you get 5/81

4/3 ÷ 7/8 = in khan academy

Answers

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

Please Help............

Answers

Answer: number 1

Step-by-step explanation:

The price of mangoes in a grocery store is 3 for $5. How much will 5
mangoes cost? Round the answer to the nearest hundredth.

Answers

Answer:

8 and one thirds

Step-by-step explanation:

5 times 5 is equal to 25 and 25 divided by 3 is 8.3333

Answer:

$8.33

Step-by-step explanation:

So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.

I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33

Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.

$16.52 per 6 yd
$13.85 per 5 yd

a
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither

Answers

Answer:

It's A

Step-by-step explanation:

hope the pic helps b/c you deleted my last answer so i hope this is more of use to you :)

Which of the following represent an exponential growth function?

Answers

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

Exponential Growth Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential growth function is expressed as:

[tex]C(t)=C_o\cdot(1+r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the (positive) growth rate, expressed in decimal

Since r is positive, 1+r is greater than 1.

From the available options, only the last two of them correspond to exponential functions according to the definition above.

Note the third option has a base of 1/3 which is not greater than 1. In fact, it corresponds to an exponential decay function.

The last option has a base 3 and corresponds to a value of r=2 which correctly fits with the definition presented above, thus the correct choice is

[tex]\mathbf{y=3^x}[/tex]

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