1.Given the rotation of triangle ABC shown below, determine the counter-clockwise angle of rotation that occurred about point D. Show all relevant lines and measurements you made to determine your answer.
A) 180°
B) 90°
C) 130°
D) 50°
​

Answer:

A. Horizontal and slope is 0

B. Horizontal and slope is 0

C. Vertical and slope is undefined

D. Vertical and slope is undefined

Step-by-step explanation:

Slope (m)= y\x= 9/2 = 4.5

your equation for the line is

y=4.5x+3.5

Answer:

The other table needs to be 8ft long as well.

Step-by-step explanation:

To get to 16ft, we need to subtract the 8ft that Henry already has.

16 - 8 equals 8.

So, the other table needs to be 8 feet.

#teamtrees #WAP (Water And Plant)

Answer:

21

Step-by-step explanation:

Answer:

X=8, Y=9

Step-by-step explanation:

9/6=1.5

12/1.5=8

6*1.5=9

PLS GIVE BRAINLIEST

Step-by-step explanation:

u just have to draw a graph nd start at -2 which goes down -2 twice then go up 4 over 1 nd u just connect the lines nd find the slope of the lines that's how I learned it

Answer:

Hi, I'm not sure how to answer number 1 or 2 but here are my answers for 3-6

Step-by-step explanation:

3) 2

My work: y+3=2(x-2)

                y+3=2x-4

                 y=2x-7

4) (2,25)

My work:

5) 1/8

6) -7

Answer:

Convert into decimals:

a) 70.3        b)3.7

Find:

a) 360.45

b) 112.997

What should be added to 2.8 to get 10?

7.2

Do 10 - 2.8

What should be subtracted from 20 to get 11.8?

8.2

Do 20 - 11.8

Hope this helps!!!

:D

Answer:

1 /25

Step-by-step explanation:

percent means  

out of 100

⇒

4

%

=

4

100

as a fraction

To simplify the fraction we require to find a  

common factor

to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4

⇒

4

100

=

4

÷

4

100

÷

4

=

1

25

This calculation is usually set out using  

cancelling

4

100

=

4

1

100

25

=

1

25

←

in simplest form

A fraction is in  

simplest form

when no other factor but 1 will divide into the numerator/denominator.

Answer:

The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.

Have a good day

Answer:

Hundreds Place

Step-by-step explanation:

The 5 is in the hundreds place.

Hope this helps :D

3 is the thousands place

5 is the hundreds place

6 is the tens place

2 is the ones place

You tell me the answer.

Answer:

she spends 9 hours

Step-by-step explanation:

Answer:

Changes

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

♡ let's kill this love! ♡

you should definitely get "the album."

it has a very good rating and its great ☆

stan blackpink for clear skin, have a great day!

-madi/madeline

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

Answer:

5(3n - 4)

Step-by-step explanation:

The GCF of 15 and 20 is 5, so 5 is on the outside of the parentheses. 15/5 = 3, so the term is 3n. 20/5 = 4, so the other term is 4. Put it all together and you have 5(3n - 4)

Answer:

5(3n - 4)

Step-by-step explanation:

Edge 2020

Answer:

You can order pizza in 56 ways.

Step-by-step explanation:

A pizza can be ordered in 56 ways

Step-by-step explanation:

From the information that the problem gives to us, we have that:

For each topping, there are four different choices for the size of the pizza.

For each size of pizza, there are two possible choices of crust.

There are seven toppings for us to choose.

So

4*2*7 = 56

A pizza can be ordered in 56 ways

Answer:

-4/7-5/7-6/7-3/14 ascending order

Answer:

The sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

Step-by-step explanation:

Given

-5/7, -3/14, 4/7, -6/7​

The least common denominator (LCD) is: 14

Rewriting as equivalent fractions with the LCD:

-5/7            -3/14            4/7          -6/7

-10/14          -3/14           8/14          -12/14

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

-6/7                -5/7              -3/14              4/7

-12/14     <      -10/14     <      -3/14        <   8/14

Therefore, the sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ [/tex]

[tex] \bf \underline{What\: to\: do-} \\ [/tex]

To rationalise the denominator

[tex] \bf \underline{Solution-} \\ [/tex]

[tex]\textsf{We have,}[/tex]

[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ \\ [/tex]

[tex]\textsf{The denominator is 5+2√3. Multiplying the numerator and denominator by 7-4√3,}\\[/tex]

[tex]\textsf{we get,}\\[/tex]

[tex] ⟹\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ [/tex]

[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 + 4 \sqrt{3} )(7 - 4 \sqrt{3}) } \\ \\ [/tex]

[tex]\textsf{⬤ Applying Algebraic Identity

(a+b)(a-b) = a² - b² to the denominator}\\[/tex]

[tex]\textsf{We get,}\\[/tex]

[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 {)}^{2} - (4 \sqrt{3} {)}^{2} } \\ \\ [/tex]

[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 8 \sqrt{3 \times 3} }{49 - 48} \\ \\ [/tex]

[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 24 }{1} \\ \\ [/tex]

[tex]⟹(35 - 24) - 6 \sqrt{3} \\ \\ [/tex]

[tex]⟹11 - 6 \sqrt{3} \: \: \: \tt \red{ Ans}. \\ \\ [/tex]

[tex] \bf \underline{Hence \:the \:denominator\: is\: rationalised.}\\[/tex]

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

Answer:

each weighs 3.75 minimum

Answer:

Each item weighs 3.75 kg, or 3 and 3/4 kg.

Step-by-step explanation:

divide the total weight by the total amount of items. 30/8=3.75

hope this helped! :)

Answer:

Its the top right one

Step-by-step explanation:

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

Answer: C The rate of change for the function for video a is constant but the rate of change for video b is not constant

Step-by-step explanation:

78,342,117

Step-by-step explanation:

Just add! And yeah have a good day ^-^

Answer:im assuming we add them

Step-by-step explanation:

78342117

Answer:

Step-by-step explanation:

x + y = 11

Answer:

Slope: [tex]\frac{7}{2}[/tex]

Y-intercept: (0, 2)

Step-by-step explanation:

7x = 2y - 4

-2y = -7x - 4

y = [tex]\frac{-7}{-2}[/tex] x - [tex]\frac{4}{-2}[/tex]

y = [tex]\frac{7}{2}[/tex] x + 2

The slope is always the coefficient of x and the y-intercept is always the constant. It looks like (0, constant) when written in y-int form.

Answer:

slope (m) is 7/2 (aka 3.5) and y-int is (0,2)

Step-by-step explanation:

I don't really have an explanation, basically rearrange the problem so that to y is on the left but it would be 2y so divide the right side by two. I an explain further in depth if needed

Answer:

Step-by-step explanation:

Onehundred twenty-million-fivehundred forty thousand