Calculate the scale factor for the original triangle and its
larger image. Show your working out.

Answer:

Step-by-step explanation:f

(

x

)

=

2

x

g

(

x

)

=

x

+

5

Set up the composite result function.

f

(

g

(

x

)

)

Evaluate  

f

(

g

(

x

)

)

by substituting in the value of  

g

into  

f

.

f

(

x

+

5

)

=

2

(

x

+

5

)

Apply the distributive property.

f

(

x

+

5

)

=

2

x

+

2

⋅

5

Multiply  

2

by  

5

.

f

(

x

+

5

)

=

2

x

+

10

Answer:

C. -38

Step-by-step explanation:

We know that if the denominator is not given, then it is 1

So,

(-5/1) = (y-7/9)

Now, cross-multiply and set them equal

-45 = y - 7   Add both sides by 7

-38 = y

Every 10 min it goes down 10 degrees.

We need it to go down 205-180=25 degrees.

Since it goes down 1 degree per min, it would take 25 min. I don't know about the law part though.

Answer:

27 minute is correct via A P E X

Step-by-step explanation:

Answer:

8/5

Step-by-step explanation:

Since the angle passes through 8,5. The horizontal side length is 8. The vertical length is 5 so now we must find the hypotenuse or radius side. Using the pythagorean theorem, that can be accomplished.

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] {8}^{2} + {5}^{2} = {r}^{2} [/tex]

[tex]64 + 25 = {r}^{2} [/tex]

[tex] \sqrt{89} [/tex]

So know me gonna to find our trig functions. Cot or cotangent is x/y so we plug that as x=8, y=5.

[tex] \frac{8}{5} [/tex]

so the answer. is 8/5

Answer:

30 mile per gallon

Step-by-step explanation:

60/2=30

Answer:

30 miles/ 1 gallon

Answer:

FH, GF, GH

hmmmmmmmmmmm

Answer:

7 and 11

Step-by-step explanation:

Answer:

A=144cm²

Length: 36cm

Width: 4cm

Step-by-step explanation:

36 x 4 = 144 cm

Answer:

Tampa Bay had 7 points in first quarter and Kansas City had 3.

Step-by-step explanation:

Rounded: KC - 0; TB - 10

Added: 10

Multiplied: 21

Hope it helps!

The coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).

Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.

The given coordinate is (0, -9).

Rotation rule:

Rotating a point that has the coordinates (x,y) 180° about the origin in a clockwise or counterclockwise direction, produces a point that has the coordinates (-x,-y).

Now, (0, -9) → (0, -(-9))

(0, -9) → (0, 9)

Therefore, the coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).

Learn more about the rotation here:

brainly.com/question/1571997.

#SPJ2

Answer:

22 weeks

Step-by-step explanation:

Answer:

22 weeks

Step-by-step explanation:

500-170=330

330/15=22

22 weeks

Answer:

[tex] \large \boxed{y = - 2x + 3}[/tex]

Step-by-step explanation:

Goal

Given

Step 1

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

Substitute coordinate points in.

[tex]m = \frac{11 - 3}{ - 4 - 0} \\ m = \frac{8}{ - 4} \longrightarrow \frac{2}{ - 1} \\ m = - 2[/tex]

Step 2

[tex] \large \boxed{y = mx + b}[/tex]

where m = slope and b = y-intercept.

[tex]y = - 2x + b[/tex]

Step 3

Substitute both coordinate points still give the same solution.

Step 3.1 — (0,3)

[tex]y = - 2x + b \\ 3 = - 2(0) + b \\ 3 = 0 + b \\ 3 = b[/tex]

Step 3.2 — (-4,11)

[tex]y = - 2x + b \\ 11 = - 2( - 4) + b \\ 11 - 8 = b \\ 3 = b[/tex]

Therefore, the value of b is 3.

Step 4

[tex]y = - 2x + b \\ y = - 2x + 3[/tex]

Hence, the equation of a line is y = -2x+3.

Answer:

y<15-2x

y<10-x

Step-by-step explanation:

Answer:

The answer is 75

Step-by-step explanation:

By way of parallelism

[tex]x + 15 = 90 \\ x = 75[/tex]

y and -3y

k⁴ and 8k⁴

2x and x

These are like terms

Answer:

The value of the lesser integer is [tex]28[/tex]

Step-by-step explanation:

Let two consecutive positive integers be [tex]x,x+1[/tex].

Product of two consecutive positive integers = [tex]x(x+1)=x^2+x[/tex]

Also, product of two consecutive positive integers is 812

So,

[tex]x^2+x=812\\x^2+x-812=0\\x^2+29x-28x-812=0\\x(x+29)-28(x+29)=0\\(x-28)(x+29)=0\\x=28,-29[/tex]

As [tex]x[/tex] is a positive integer,

[tex]x=-29[/tex] is rejected.

So,

[tex]x=28\\x+1=28+1=29[/tex]

Two positive integers are [tex]28,29[/tex]

The value of the lesser integer is [tex]28[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Noma cleans   12 pools in 8 hours

How many pools in how many minutes?

8 x 60= 480

He cleans 12 pools in 480 minutes

How many minutes does he take to clean a pool?

480/12 = 40

He cleans a pool in 40 minutes.

How much does he earn to clean a pool?

since he cleans 12 pools to earns $270

then 270/12 =22.5

Therefore, he charges $22.5 to clean a pool in 40 minutes.

Albert  9 pools in 7.5 hours

How many pools in how many minutes?

7.5 x 60= 450

He cleans 9 pools in 450 minutes

How many minutes does he take to clean a pool?

450/9 = 50

He cleans a pool in 50 minutes.

How much does he earn to clean a pool?

since he cleans 9 pools to earns $195.75

then 195.75/9 =21.75

Therefore, he charges $21.75 to clean a pool in 50 minutes.

Answer:

D

Step-by-step explanation:

answer is d

Answer:

28

Step-by-step explanation:

Ratios are like fractions. Since you're finding an equivalent ratio, u can set them up like equivalent fractions and put an x where the missing number would go:

[tex]\frac{1}{7} = \frac{4}{x}[/tex]

You can either cross multiply and then solve for x, but it's easier to just think about it. The fractions are equivalent, right? So for them to be the same you'd have to do to the bottom what u do to the top.

To get from 1 to 4, you multiply by 4. By that logic, to get from 7 to x you'd have to multiply by 4 as well. Therefore x = 7x4, which is 28.

So x = 28

Answer: circle

A=452.39ft2

R radius 12

A=πr 2=π. 12 ‘2=452.38934ft’2

Answer:

A newborn weighs 8 pounds at birth and gains 1.5 pounds each month for the next 3 months.

They all mostly seem right, but when a baby is first born the year is 0, so therefore it most likely seems like the first one! :)

^^ hope this helps :)

Answer:

True

Step-by-step explanation:

Use the rule of fractional exponent: The denominator becomes the root index and the numerator becomes the power.

Answer:

32

Step-by-step explanation:

The number that has the same value as [tex](4^{-1})(2^3 \div 4^{-2})[/tex] is 32

The numeric expression is given as:

[tex](4^{-1})(2^3 \div 4^{-2})[/tex]

Evaluate the exponents

[tex](4^{-1})(2^3 \div 4^{-2}) = \frac 14 * 8 \div \frac 1{16}[/tex]

Express as products

[tex](4^{-1})(2^3 \div 4^{-2}) = \frac 14 * 8 * 16[/tex]

Evaluate the products

[tex](4^{-1})(2^3 \div 4^{-2}) =32[/tex]

Hence, the number that has the same value as [tex](4^{-1})(2^3 \div 4^{-2})[/tex] is 32

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

whats the question

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 months start with J, so its 9/12, meaning D is correct

JANUARY February March April May JUNE JULY Agugust September October November December

Answer: 18

Step-by-step explanation: