Surface of a rectangular prism15 cm depth6 cm width7.5 cm height

Slope Formula: (y2 - y1) / (x2 - x1)

Line 1: 3

Point 1 = (-5, -8)

Point 2 = (-1, 4)

Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3

Line 2: 3

Point 1 = (0, 1)

Point 2 = (2, 7)

Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3

Line 3: -1/3

Point 1 = (6, -7)

Point 2 = (-6, -3)

Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3

Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.

Line 1 and Line 2 are parallel because they have the same slope.

Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.

Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.

Hope this helps!! :)

Answer:

3

3

-1/3

Parallel

Perpendicular

Perpendicular

Step-by-step explanation:

You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.

The formula for slope is y2-y1   divided by x2-x1

y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).

y1 is a point from the first pair like (-5, -8), or (0, 1).

You can plug in the values for example:

4 - (-8)  / -1 - (-5)

Two negatives equals a positive in math, so

12 / 4

= 3.

The slope for line 1 is 3.

You extend this to the other two lines.

For lines to be parallel, they must have the same slope.

1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.

Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.

For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)

A reciprocal slope of 19348 is -1/19348.

Answer:

the answer is (a) a//b

Step-by-step explanation:

perpendicular means that two lines that do not cross over each other.

Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

Hope this helps you out!! Have an awesome day ;)

Answer:

In 2 hours: 1050 miles

In 3 hours: 1575 miles

In 4 hours: 2100 miles

Step-by-step explanation:

Multiply 525 by the number of hours to get each answer.

Step-by-step explanation:

Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.

So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.

z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)

=−3−y0+x0+(2+x0+y0)i

x=Rz

y=Iz

Thus the new point is at (−3+x0−y0,2+x0+y0)

hence (-3,2)

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

Using the general form :

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

The expression in slope intercept form becomes ;

If Raul lives 5 miles closer to the beach ;

Time it will take Luis to get to the beach :

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :https://brainly.com/question/18405415

Answer:

I'll answer 6 to 10 cuz that's only what I'm able to see

Step-by-step explanation:

6.

Y-Z

= {6,4,7,2,8,3} - {2,7,8,9,10}

= {6,4,3}

7.

( Y ∪ Z ) ∩ X

= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}

= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}

= {2,3,5,8}

8.

( X ∪ Y ) ∩  ( Y ∪ Z )

= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )

= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}

= {2,3,4,6,7,8}

9.

( X ∩ Z ) ∪ ( X ∩ Y )

= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )

= {2,8} ∪ {3,8}

= {2,3,8}

10.

( X ∪ Y ) ∩ Z

= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}

= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}

= {2,7,8}

Answer:

Domain: {2,8,30,46}

Range: {-1,9,16}

Step-by-step explanation:

Yes, it is function because each of the elements of x are related or mapped with only one and unique elements of y. That's why the relation is a function.

Answer:

$4

Step-by-step explanation:

Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:

38 - 2 = 36

Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:

36 / 9 = 4

So, each candy bar costs 4 dollars

Hope this helps :)

Answer:

4 dollars

Step-by-step explanation:

38 - 2

= 36

36÷9 ( candy bars)

= 4 dollars

Answer:

He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.

Step-by-step explanation:

welcome

answer:

-8.3733995^12

Answer: A

Step-by-step explanation:

Answer:

Median : 11.5, or 12 if you round it up.

Mean : 10.9 rounded up 10.875 not rounded.

Hope this help's, enjoy!

Answer:

I'm pretty sure it's C I may be wrong though

Step-by-step explanation:

Answer:

distribute -x to terms inside the parentheses

Answer:

Okay the answer is

Answer:

3+(4+5) - (3+4)+5

7 . (2 . 5) - (7 . 2) . 5

5 . 9 - 9 . 5

3+4 - 4+3

The Dot's mean multiplication

Step-by-step explanation:

Answer:

x²-14x+48

Step-by-step explanation:

Area= Length × Width

Area= x-6 × x-8

Area= (x-6)(x-8)

Area= x²-8x-6x+48

Area= x²-14x+48

Hope this helped you- have a good day bro cya)

Answer: i think its all of them are 5

Step-by-step explanation: sorry if im wrong

Answer:

B. x=15 ayan na ang sagot

Answer:

We start off with 21 as the first term. So a1 = 21

The common difference is d = -3 because we subtract 3 each time to get from one term to the other (eg: 21 to 18 is minus 3)

The nth term of an arithmetic sequence is found by using this formula

an = a1 + d(n-1)

let's plug in the values we have so far to get

an = 21 + (-3)(n-1)

an = 21 - 3(n-1)

an = 21-3n+3

an = -3n+24

Why do this? Well it's helpful so we can find any term in the formula we want. In this case, we want the 40th term. So just plug in n = 40 from here and you're done

an = -3n+24

a40 = -3*40+24

a40 = -96

pointing you to the answer of choice B) -96

Answer:

2.0 x 6.0 = 12

2.0 x 0.4 = 0. 8

0.7 x 6.0 = 4.2

0.7 x 0.4= 0.28

Step-by-step explanation:

The product of 2.7 x 6.4 = 17.28

If you add all those up in the answer I provided, they too equal 17.28.

Answer:

the correct answer is... 2

.

0

×

0

.

4

=

0

.

8

0

.

7

×

6

.

0

=

4

.

2

0

.

7

×

0

.

4

=

0

.

28

2

.

0

×

6

.

0

=

12

Step-by-step explanation:

watch a lots of videos and look at reliable resources brainley is not reliable by the way

Algebra 2 - Factoring Polynomials - You Tube

Step-by-step explanation:

any of these top videos are helpful anything specific you need help with

If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.

Let "x" represent the width of his drawing in millimeters.

The proportion can be set up as follows:

1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)

Now, cross-multiply and solve for "x":

1 * 63 m = 3 * x mm

63 = 3x

Divide both sides by 3 to find the width of his drawing:

x = 63 / 3

x = 21

So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.

To learn more about scale click on,

https://brainly.com/question/28720090

#SPJ4

Answer:

24-2x

Step-by-step explanation:

Answer:

The equation is written as follows:

2x-24