Based on the pattern in the drawings, which conjecture is reasonable to make?1. The vertical angles formed by two intersecting lines are supplementary.2. The vertical angles formed by two intersecting lines are complementary.3. The adjacent angles formed by two intersecting lines are complementary.4. The adjacent angles formed by two intersecting lines are supplementary.

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Step-by-step explanation:

f(x)=(2x-1)square=0

it can be 0 or greater than 0

Hence,maximum value of (2x- 1)square=0

maximum value of (2x- 1square)+3=0+3=3

Given:-

To find:-

Answer:-

From the graph, we can see that it passes through the points (0,-3) and (-5,1) . Using these two points,we can find the slope of the line as ,

\(\implies m =\dfrac{y_2-y_1}{x_2-x_1} \\\)

And here ,

So , on substituting the respective values, we have;

\(\implies m =\dfrac{1-(-3)}{-5-0} \\\)

\(\implies m = \dfrac{ 1+3}{-5} \\\)

\(\implies m =-\dfrac{4}{5} \\\)

Here the graph , cuts the y axis at (0,-3) . So the y- intercept of the graph is -3 . Now we may use the slope intercept form of the line to find the function . The slope intercept form of the line is \( y = mx + c\) , where ;

And here ,

Again, on substituting the respective values, we have;

\(\implies y = \dfrac{-4}{5}x + (-3) \\\)

\(\implies y =\dfrac{-4}{5}x - 3 \\\)

Replace \( y \) with \( f(x)\)

\(\implies \underline{\underline{ f(x) =-\dfrac{4}{5}x -3}} \\\)

This is the required function of the given graph .

And we are done!

Answer:

0 < f(x) ≤ 3/4, or (0, 3/4]

Step-by-step explanation:

x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4

It is always positive and has a minimum value of 3/4 at x = 1/2

So f(x) is always positive (not equal zero) and has a maximum value of 3/4

Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]

Answer:

C. (3,25) and (7,9)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5 + 2(x – 3) = 3(x - 1)

5+2x-6=3x-3

-1+2x=3x-3

-1+3=3x-2x

2=x

Answer:

45 cookies

Step-by-step explanation:

30 ÷ 2 = 15. 15 cookies = 1 scoop of flour. 15 x 3 = 45. Tnaner can make 45 cookeis with 3 scoops of flour.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

3.5?

Step-by-step explanation:

sorry that's all i can do..

Answer: 3.5714286e^-10 or 0.00000000035714286 or 3.5714286 × 10^-10

Step-by-step explanation:

First, we divide 0.0001 by 28, which equals 3.5714286e-6.

And since we added 4 zeros to the equation, the negative (e) will be pushed by -4. So, it should look like this: 3.5714286e-10, and the equation is complete.

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The steps involved in constructing a perpendicular bisector are:

Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The complete question

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

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(4x³- 4 + 7x) - (2x³ - x - 8) is equivalent to expression 2x³ + 8x + 4. Option B

(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x)  is equivalent to expression 3x⁴ - 3x² + 5x - 7. Option D

(x² - 2x) (2x + 3) is equivalent to expression 2x³ - x² - 6x. Option A

From the information given, we have that the expressions are;

(4x³- 4 + 7x) - (2x³ - x - 8)

expand the bracket, we have;

4x³ - 4 + 7x - 2x³ + x + 8

collect the like terms, we have;

2x³ + 8x + 4

(-3x² + x⁴ + x) + (2x⁴ - 7+ 4x)

expand the bracket, we have;

-3x² + x⁴ + x + 2x⁴ - 7+ 4x

collect the like terms

3x⁴ - 3x² + 5x - 7

(x² - 2x) (2x + 3)

expand

2x³ + 3x² - 4x² - 6x

2x³ - x² - 6x

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Answer:

50 minutes

Step-by-step explanation:

2gal×4 qt in a gallon= 8 qt

8qt× 2pt in a qt= 16pt

16pt÷6 pt= 2.66

2.66×30= 80 min

80min-30min= 50 minutes

Answer:

Step-by-step explanation:

Nathan invented a robotic bug when can crawl 6cm in 24 secs

so, to crawl 1cm it would take (24÷6) secs, i.e, 4secs

therefore, to crawl 42cm the bug would take (42×4) secs = 168 secs

So, to crawl forty-two centimeters the bug would take 168 secs or, 1min 48 secs.

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

\(3 \times 10^{-4}, 2 \times 10^{10}\)

The result of the multiplication is given by:

\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)

The result of the multiplication in scientific notation is given by:

\(6 \times 10^{6}\)

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Answer:

x = 10

Step-by-step explanation:

4x - 6 = 3x + 4

x - 6 = 4

x = 10

Answer:

x=10

Step-by-step explanation:

You want to isolate the x variable so x will equal to a numerical value.

4x-6=3x+4

4x-6-4=3x+4-4

4x-10=3x

-10=-x

10=x

Answer: A?

Step-by-step explanation:

Answer:

5.9466578e+21

\(Well,\;I\;Dont\;See\;Why\;Your\;Teacher\;Gave\;You\;This...\;\;But,\;Here\;You\;Go.\)

\(8888888888888 * 668999000\;\;Equals\;The\;Following..\)

\(5.94665778*10^2^1\)

Answer:

x = 5

Step-by-step explanation:

4|0.5x - 2.5| = 0

|0.5x - 2.5|  = 0 / 4

0.5x - 2.5 = 0

0.5x = 2.5

x = 2.5 / 0.5

x = 5

Answer:

why in kilometers? 87.3 km/h

Answer:

84

34

27

Step-by-step explanation:

3,5,7,9,11

The first statement is incorrect 1 is an odd integer

Looking at the second statement

1 + 2n where n is the position

Lets look at the 4th spot

1 + 2*4 = 1 + 8 = 9

9 is in the 4th spot

Check 5th

1 + 2*5 = 1+10 = 11

This is a true statement

The 3rd statement is incorrect because 1 is a positive odd integer

The 4th statement is correct because it is the positive odd integers greater than 1

The 5th statement is incorrect. 9 is not a prime number

Statements that are correct: 2, 4

which statements about Ancient Greek life are shown by the story of perseus

Answer:

k=44

Step-by-step explanation:

Answer:

\(n + 4.4 = 8.1\)

Step-by-step explanation:

We know we have to write an algebraic equation for the sentence - so "translate" the phrases of the sentence step-by-step. Let the unknown number be represented by the variable n, as the question states.

Start with the phrase "the sum of a number and 4.4." A sum comes as a result of adding numbers together - therefore the first part of the equation must be \(n + 4.4\).

Next, the sentence says "is 8.1." The "is" indicates that the expression we just wrote equals something, so that number must be 8.1. Therefore, the whole equation must be \(n + 4.4 = 8.1\).

Answer: y = -x + 2

Step-by-step explanation:

If you are familliar with the point-slope form this is very helpful

Point-slope:

\(y-y_1=m(x-x_1)\)

Plug in our values of \(m = -1, y_1=-1,x_1=3\) to get:

\(y-(-1) = -1(x-3)\)

Simplify

\(y+1=-x+3\)

\(y=-x+2\)

Answer:

-8

Step-by-step explanation:

Slope = (y1-y2) / ( x1-x2)

            = ( f-4) / (-8 - -6)      =  6

                  (f-4) / -2    = 6

                    f-4 = -12

                     f = - 8

Answer:

f = -8

Explanation:

Find slope:

\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Here given:

Inserting into slope formula:

\(\sf \rightarrow \dfrac{4-f}{-6-(-8) } = 6\)

\(\sf \rightarrow \dfrac{4-f}{2 } = 6\)

\(\sf \rightarrow 4-f = 12\)

\(\sf \rightarrow -f = 12-4\)

\(\sf \rightarrow -f =8\)

\(\sf \rightarrow f =-8\)

Answer:

0

Step-by-step explanation:

Hope this helps!

(Brainliest is appreciated)

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

Answer:

-4

Step-by-step explanation:

-9-(-5) make the subtraction to addition and do the same for the 5 so -9+5=-4

Answer: -4

Step-by-step explanation: You would turn the -5 into a positive then add: -9 + 5 = -4

Answer:

1: A=1

2: -3

3: C

Step-by-step explanation:

1: If 3x+4 is a factor, then -4/3 is equal to x. Substitute it in for x and solve for a.  This gives us A=1.

For the commenter not understanding how I got -4/3: 3x+4 being a factor means that it equals 0. It might help you understand this if you remember that after factoring, like I did for 38 in my photo, we take expressions like x-4 and set them equal to 0 to get x=4, a solution. So, subtract 4 from both sides to get 3x=-4, then divide both sides by 3 to get x alone. Thus, x=-4/3.

2: To find the sum, we first need to find the two solutions. We can factor to get (x+7)(x-4). This gives us x=-7 and x=+4. The solution of these two would be (-7)+4 is -3.

3: B is a close answer, but the signs are wrong on the bottom. Factoring the question would give us 2(x-2) / 2(x^2-x-2). Factoring that equation is 2(x-2) / 2(x+1)(x-2). Simplifying this gives us 1 / x+1.

Sorry for the bad penmanship, I wanted to make it a little clearer for you! I really hope I helped! :)