Find the magnitude of the vector <5, −3>.

1. 5.8
2. 6.1
3. 5.2
4. 4

Answer:

x=13

Step-by-step explanation:

Answer:

Step-by-step explanation:

(11x-15)+(5x-13)=180

11x+5x=180+13+15

16x=208

x=13

Answer:

(3, -1) or x=3, y=-1

Step-by-step explanation:

using substitution for y, the first equation becomes 3(-2x + 5) - 2x = -9

distribution of the 3 gets your equation to be -6x + 15 - 2x = -9

from here you combine like terms to get -8x + 15 = -9

from here it's just a two step equation

subtract 15 from both side to get -8x = -24

divide and get x = 3

substitute x in the equation for y to get y = -2(3) + 5

distribution gets you y = -6 + 5, which makes y = -1

to check your work you can just plug in the variables equivalents in the first equation, which upon doing you can see that the answer is indeed 3, -1

Answer:

(3,-1)

Step-by-step explanation:

Plato

Answer:

x is 9

Step-by-step explanation:

since they are vertical angles, they are congruent. We make an equation putting each one behind the equal sign (7x+3=10x-24) and we solve.

The slope can be found with two sets of points

The points can be any points, but in this case I choose the point (-1,10) and (1,2)

Slope = [tex]\frac{y2-y1}{x2-x1} =\frac{10-2}{-1-1} =\frac{8}{-2} =-4[/tex]

The slope of the line that contains these points is -4.

Hope that helps!

Answer:

Step-by-step explanation:

42. -5  -2   -2   3   8

Answer:

3345+120=3465

Step-by-step explanation:

Answer:

19682

Step-by-step explanation:

3^9-2÷2

19683-2÷2

19683-1

19682

try this instead

Hey there!

3x - y / 2

= 3(9) - 2 / 2

= 27 - 2 / 2

= 25 / 2

= 12.5

≈ 12 1/2

Therefore, your answer is: 12.5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]x = 40.[/tex]

Step-by-step explanation:

[tex]if \: \: y = kx \: then \\ k = y \div x \: and \: x = y \div k \\ so \: k = 0.6 \: and \: x = 40 \: when \: y \: is \: 24.[/tex]

Answer:

Slope= -3

y-intercept= (0,2)

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Answer:

answer in picture

Step-by-step explanation:

Answer:

64 inches tall

Step-by-step explanation:

We know in 1 foot, there are 12 inches.

We can convert 5 1/3 feet to 16/3 feet.

To do this you convert 5 feet to 15/3 feet and add it to 1/3 feet.

So we now have 16/3 feet and we will multiply by 12  to find the number of inches she is.

16/3 * 12 = 64 inches tall

Answer:

1.75x

Step-by-step explanation:

Answer:

4+6+2(4)

10+8

18

the answer is 18

Answer:

18

Step-by-step explanation:

d+6+2d

4+6+2(4)

10+2(4)

10+8

18

Answer:

224mm²

Step-by-step explanation:formula for area of triangle = base x height x 1/2

8x10 = 80     80 / 2 = 40       40 x 4 = 160      area for square =base x height

the pyramid is comprised of four triangles and one square, all we need is to find the individual surface areas of the shapes that compose the pyramid

Answer:

(a) see attached

(b) Surface area = 224 mm²

Step-by-step explanation:

A square based pyramid is made up of a square at the base and 4 congruent triangles as the sides which meet at one point.

Area of a triangle = 1/2 × base × height

⇒ area of one triangle = 1/2 × 8 × 10

                                     = 40 mm²

Area of a square = s² (where s is the side length)

⇒ area of base = 8²

                         = 64 mm²

Total surface area = 4 × area of one triangle + area of the base

                               = 4 × 40 + 64

                               = 224 mm²

Answer:

4-c/3 is ans

Step-by-step explanation:

3x+c=4

3x=4-c

x=4-c/3

Answer:

[tex] x = \frac{y - 3}{4}[/tex]

Step-by-step explanation:

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

Answer:

1. 2(2w + w)

2. 2(2w) + 2(w)

Step-by-step explanation:

The formula to find the perimeter of a rectangle is [tex]2(l+w)[/tex], and we can easily apply it with this rectangle as 2(2w + w).

You can find another expression by simplifying 2(2w + w), which is 2(2w) + 2(w).

Answer:

Jade's work makes sense, Peter's does not.

Step-by-step explanation:

What's wrong with Peter's work:

Peter did not apply associative property correctly. You cannot change what is inside the parenthesis. He also shouldn't be using associative property to solve this equation because it just doesn't make sense!

Jade's work:

She applied distributive property correctly and multiplied each term in the parenthesis by 2. All of her processes are logical and make sense! I could go on, but everything is correct lol

Best of wishes mate!

Answer:

Jade because she followed the correct order of operations.

Step-by-step explanation:

Always remember your order of operations.

P - parentheses

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

Please Excuse My Dear Aunt Sally is the common phrase used to remember though I find PEM-DAS just as easy to remember.

The number of boxes packed to fill the rectangular prism shaped container is: 80 boxes.

Volume = length × width × height.

Find the volume of one cube-shaped box:

Volume = 6 × 6 × 6 = 216 in³

Find the volume of one rectangular prism:

Volume = length × width × height = 24 × 24 × 30 = 17,280 in³.

Number of boxes packed to fill the rectangular prism shaped container = 17,280/216 = 80 boxes.

Learn more about volume of rectangular prism on:

https://brainly.com/question/12917973

Let a be the area of the triangle

Let b be the area of the parallelogram

[tex]a = \frac{16 \times 9}{2} = 72 \: cm {}^{2} [/tex]

[tex]b = 30h \: cm {}^{2} [/tex]

Given that b is 5 times larger than a

b=5a

[tex]30h = 5(72)[/tex]

[tex]h = \frac{360}{30} = 12 \: cm[/tex]

Answer:

Non-mutually exclusive

Step-by-step explanation:

both events can happen simultaneously... 3 is an odd number, events A and B  have a common outcome.

It would be mutually exclusive if event A was rolling a 4 and event B was rolling an odd number.

===================================================

Explanation:

Ask yourself "is it possible to get a 3 and an odd number at the same time?"

The answer is "yes, because 3 is an odd number"

This is why they are non-mutually exclusive.

Mutually exclusive events cannot happen at the same time. In terms of a venn diagram, mutually exclusive events would be represented by two circles that do not overlap. The overlapping region is where the two events happen at the same time. An example of mutually exclusive events would be flipping a single coin to land on heads and tails at the same time.

Answer:

L=7

W=13

Perimeter=40

Area=91

Step-by-step explanation:

Perimeter = 2L+2W

40=2(7)+2W

40=14+2W

-14  -14

26=2W

Divide both sides by 2

13=W

Area=L x W

7 x 13 = 91

Answer:

length = 7 units

width = 13 units

area = 91  square units

perimeter = 40 units

Step-by-step explanation:

What is the area of a rectangle?

  ❖ The area of a rectangle can be found by multiplying the length and

       width of the rectangle.

What is the perimeter of a rectangle?

  ❖ The perimeter of a rectangle is the sum of all sides- length and

       width. In this case, we're given the perimeter as 40 units and the

       length as 7 units, but the width is unknown. Formula to find

       perimeter of rectangle is 2(l + w) = P.

Solving for Width

Solving for Area

Answer:

64; 68; 78

Step-by-step explanation:

The diameter of a circle is the radius of the circle times two.

hope I helped you! :)

Answer:

Not a real thing

Step-by-step explanation:

Answer:

2*f

Step-by-step explanation:

because all the rest are negative

Answer

6 inches

Step-by-step explanation: