Let a = ⟨5, –9⟩ and b = ⟨–3, 1⟩, and c = b – a. What is the magnitude and direction angle of c?

|c| = 12.8; θ = 128.7°
|c| = 18.0; θ = 128.7°
|c| = 12.8; θ = 308.7°
|c| = 18.0; θ = 308.7°

Answer:

0.295

Step-by-step explanation:

you needed to subtract 2.175-1.88=0.295

Answer:

domain is all the values that go into a function, and the range is all the values that come out.

Answer:

Domain: -6 <= x <= 3 and Range -9 <= y <= 5

Step-by-step explanation:

Domain is x

Range is y

(x, y)

The smallest x is -6

The largest x is 3

The smallest y is -9

The largest y is 5

Answer:

a) 4 cm, 5 cm, 7 cm

Step-by-step explanation:

The statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is only true for triangle rectangles.

To find a counter example, we can try with the options and see which one works as a counterexample:

a) 4 cm, 5 cm, 7 cm

The longest side is 7cm, then the statement says that:

4^2 + 5^2 = 7^2

16 + 25 = 51

while 7^2 = 49

Then for this particular set of sides, the statement is false.

So we already found the counter example, because:

4^2 + 5^2 ≠ 7^2

The only set of side lengths that proves that the statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is false is;

Option A; 4 cm, 5 cm, 7 cm

To answer this question, let us look at each option;

Option A; 4 cm, 5 cm, 7 cm

Thus; 4² + 5² = 51 and 7² = 49

Since the sum of the square of the two shorter sides is not equal to the square of the longest side, then this proves the statement is false.

Option B; 5 cm. 12 cm 13 cm

Thus; 5² + 12² = 169 and 13² = 169

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option C; 3 cm, 4 cm, 5 cm

Thus; 3² + 4² = 25 and 5² = 25

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Option D; 9 cm, 12 cm, 15 cm​

Thus; 9² + 12² = 225 and 15² = 225

Since the sum of the square of the two shorter sides is equal to the square of the longest side, then this proves the statement is true.

Read more at; https://brainly.com/question/16175002

Answer:

Step-by-step explanation:

Given any two points, you can find the slope of the line between them using the equation

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

#1:

(3, 13), (27, 13):  [tex]m = \frac{13-13}{27-3} = \frac{0}{24} = 0\\[/tex]

(1, 4), (7, 10): [tex]m = \frac{10-4}{7-1} = \frac{6}{6} = 1\\[/tex]

(-3, 1), (2, 11): [tex]m = \frac{11-1}{2-(-3)} = \frac{10}{5} = 2[/tex]

(0, 10), (5, 11): [tex]m = \frac{11-10}{5-0} = \frac{1}{5} = 0.2[/tex]

In ascending order:

#1:  (3, 13), (27, 13): 0

#2: (0, 10), (5, 11): 0.2

#3: (1, 4), (7, 10): 1

#4: (-3, 1), (2, 11): 2

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.

The general form is nthroot{a} in index form looks like this: a^(1/n).

Let's rationalize the denominator first.

Doing so, we get (1/2)sqrt{2}.

In index form, the sqrt{2} = 2^(1/2).

We now have (1/2)[2^(1/2)].

Is this clear?

Answer:

-7

Step-by-step explanation:

Answer: 598.125 each year

Step-by-step explanation:

if you want to find out how much he pays after one year it would be...

8250 times 7.25 divided by 100 = 598.125

Answer:

-1/2

Step-by-step explanation:

It’s y2 - y1 over x2-x1

- 2 - 3

— - -—-

6 - (-4)

= -5/10

= -1/2

Answer: 1/2

Step-by-step explanation:

Answer:

B will be correct answer

Step-by-step explanation:

Answer:

[tex]x=9.6cm[/tex]

Step-by-step explanation:

[tex]x=\frac{2Area}{20}\\\\Area = \frac{16 * 12}{2} = 96 cm^{2}\\ \\x = \frac{2 * 96}{20} = \frac{192}{20} = \frac{48}{5} = 9.6 cm[/tex]

Answer:

3.6505*10^7

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

36,505,000

Step-by-step explanation:

36505000 is 36505000 in standard form.

Answer:

1810.34

Step-by-step explanation:

Just use a calculator

Answer:

D. (4, 5)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = 1/2x + 3

Step 2: Solve for x

Step 3: Solve for y

Step 4: Graph

We can confirm our answer.

Step-by-step explanation:

thousandths

0.004 =

[tex] \frac{4}{1000} [/tex]

Answer:

The second line (the flat one with an angle)

Step-by-step explanation:

Functions are linear when put on a graph.

Answer:

I = prt / 100

120x3x5 / 100

= 18

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]l = R \times \alpha [/tex]

[tex]l = length \: \: of \: \: the \: \: arc[/tex]

[tex]R = radius = 13 \: \: km[/tex]

[tex] \alpha = mersure \: \: of \: \: the \: \: centeral \: \: angle \: \: between \: \: two \: \: radiuses \\ [/tex]

Hint :

[tex] \alpha \: \: must \: \: be \: \: in \: \: radian[/tex]

Thus ;

[tex] \alpha = 45° = \frac{\pi}{4} \\ [/tex]

_________________________________

[tex]l = 13 \times \frac{\pi}{4} \\ [/tex]

[tex]l = \frac{13}{4} \pi \: \: km \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

h = 6 units

Step-by-step explanation:

The formula for the volume of a tetrahedron is given as :

V = sh

Where

s is area of base and h is height

Put s = 8 and V = 48 to find h as follows :

[tex]h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6[/tex]

So, the height of the tetrahedron is 6 units.

Answer:

3

Step-by-step explanation:

Parentheses Exponents Multiplication Division Addition Subtraction

x=2 4(2-3)+7

P: (2-3)=-1

E:

M: 4(-1)=-4

D:

A: -4+7= 3

S:

4(2-3)+7=3

Answer:

Step-by-step explanation:

Just add 19 and 11 and you will get your answer!

HOPE THIS HELPS!

Answer:

da answer is 30

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

1/4+0.25

0.25+0.25

=0.5

So 0.5 is the answer

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

Answer:

the second line

Step-by-step explanation:

press the pencil then put it two lines after 0 then yeah

Answer:

The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]

Step-by-step explanation:

The point slope form of a line is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is the slope and (x1,y1) are the coordinates of the point through which the line passes.

Given

m = -1/4 and

(x1,y1) = (3,-4)

Putting the values in the point-slope form of line

[tex]y-(-4) = -\frac{1}{4}(x-3)\\y+4 = -\frac{1}{4}(x-3)[/tex]

Hence,

The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]

Given:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.

To find:

The correct statement for the box plot.

Solution:

Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.

Median of the data set is 12, so a line dividing the box will be at 12.

Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.

Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.

Therefore, the correct option is B.

Answer:

its b

Step-by-step explanation:

took the exam review

Answer: u ain’t dumb :c

Step-by-step explanation:

Hhjhjhhhr

Answer:kakakakkakakkaanfsjehbrghjidorfnj

Step-by-step explanation:

Answer: 11,000 - rounded to the nearest thousand!

Answer:

k=42

Step-by-step explanation:

Answer:

k = 42

Step-by-step explanation:

That's a right angle, indicated by the square. A right angle is 90 degrees.

To find [tex](k+1)[/tex], we need to subtract 47 from 90. 90 - 47 = 43.

To find k, we subtract 1 on both sides. k = 42.

Answer:

(3,0)

Step-by-step explanation: