Is the line through points P(3, –5) and Q(1, 4) parallel to the line through points R(–1, 1) and S(3, –3)? Explain. a No; the lines have unequal slopes. b Yes; the lines have equal slopes. c No; one line has zero slope, the other has no slope. d Yes; the lines are both vertical.

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

The Answer would be Option A) No, the lines have unequal slopes.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Slope of first line,

[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{4-(-5)}{1-3}\\\\m = \dfrac{9}{-2}[/tex]

Slope of second line,

[tex]n = \dfrac{y-q}{x-p}\\\\n = \dfrac{-3-1}{3-(-1)}\\\\n = -1[/tex]

Thus, The Answer would be Option A) No, the lines have unequal slopes.

Learn more about slope here:

https://brainly.com/question/2503591

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Related Questions

What would the area of this figure be??

Answers

Answer:

104 ft^2

Step-by-step explanation:

Ok, so area of a rectangle is pretty simple. Multiply the base and height. In this case, it is 10 × 8. The area of the rectangle is 80 ft^2.

Triangles are a little different. Because the height of the rectangle is the same as the height of the triangle (they share a side) we can use it to find the area. The area of a triangle uses the equation:

[tex]\frac{1}{2}[/tex](b × h)

Height = 8ft   Base = 6ft

8 × 6 = 48

[tex]\frac{1}{2}[/tex] of 48 = 24 ft^2

Now, because it is all part of the same shape, add the areas together.

80 + 24 = 104 ft^2

Solve for x.
Don’t mind the mouse, it’s not included in the equation.

Answers

Answer:

x = 49

Step-by-step explanation:

inside angle = 180

180 = x - 4 + 2x + 10 + (180 - 153)

180 + 4 - 10 - 27 = 3x

147 = 3x

x = 147 / 3

x = 49

Brody made 3 3/4 pounds of trail mix. If he puts 3/4 of a pound into each bag, how many bags can Brody fill?

Answers

Answer :he can fill 5 bags

Step-by-step explanation: 3/4 times 5

The volume of a square pyramid is 72 inches square if the dimensions of the square are 6in by 6in what is the height of the pyramid

Answers

Answers is 2in

Step-by-step explanation: 6in•6in=36in•2in=72in

Answer:  Height = 6 inches

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

Work Shown:

A = area of pyramid base = 6*6 = 36 square inches

h = unknown height

V = volume of pyramid

V = 72 .... given info

V = (1/3)*A*h ... pyramid formula

72 = (1/3)*36*h

72 = 12h

12h = 72

h = 72/12

h = 6

There is a bag filled with 3 blue, 2 red and 4 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?

Answers

i hope i have been useful buddy.good luck ♥️♥️♥️♥️♥️.

The probability of getting 2 the same colour is 29/72

Probability is the likelihood or chance that an event will occur.

Probability = Expected/Total outcome

Given that the bag is filled with 3 blue, 2 red, and 4 green marble, the total marble is 9

Pr(picking 2 blue and not replaced) = 3/9 * 3/8 = 1/8

Pr(picking 2 red and not replaced) = 2/9 * 2/8 = 1/18

Pr(picking 2 green and not replaced) = 4/9 * 4/8 = 2/9

Taking the sum of the probabilities = 1/8 + 1/18 + 2/9

The probability of getting 2 the same colour = 9+4+16/72 = 29/72

Hence the probability of getting 2 the same colour is 29/72

Learn more here: https://brainly.com/question/13604758

What is the slope of a line passing through points (5, 8) and (7, 12)? Slope=

Answers

Answer: m = 2

Step-by-step explanation: m = 12 - 8 divided by 7 - 5

Refine: m = 2

Please help, math, need help asap

Answers

Answer: 4.79583152331

Step-by-

√23 ≈ 4.79 so plot the approximate location near 5 but not at 5, just near 5

I NEED ANSWER TO THIS!! POINTS

Answers

Answer:

3 - (-5) , (-1) - 2

Step-by-step explanation:

The distance formula is X2 - x1 and Y2 -Y1. Just replace the X and Y with your coordinate values.

Four is no less than the quotient of a number x and 2.1.

Answers

Answer:

4 > x/2.1

Step-by-step explanation:

4 cannot be less than anything, so the inequality sign has to be "eating" the 4.

4 > ?

The quotient of a number x and 2.1 is simply saying division

4 > x/2.1

pls help me idk how to do any of this

Answers

Answer:

The first one is commutative property

The second one is associative property

The third one is distributive property

The fourth one is also commutative property

The fifth one is also associative property

Step-by-step explanation:

A picture is x+20 cm in width and 2x-10 cm in length. The frame is a
constant 5 cm wide from the edge of the picture to the outside of the
frame. What is the area of just the frame?

Answers

Answer:

A = 1100cm^2

Step by step Explanation:

given the dimensions of width and length of the picture are x+20 by 2x-10 and the frame is a constant 5 cm wider from the edge of the picture to the frame, than the area of the frame is defined as (x+30)(2x)-(x+20)(2x-10) = 30x+200.

If the width is equal to the length which I assume is true if the width is constant.

than x+30=2x, which means x = 30.

if this is true than 30(30)+200 = 1100cm^2

4 cents per day would be equivalent to how many dollars per year

Answers

Almost 400$ a year would be how much

Answer:

$14.6

Step-by-step explanation:

1 cent = 0.01 dollar

4 cent = ( 4 × 0.01)

= 0.04 dollar

4 cent per a day: $0.04

1 year = 365 days

dollar per a year = ( 0.04 × 365)

= $14.6

the number of hours (h) increased by 12 equals equation

Answers

Answer:

h+12 or 12*h

Step-by-step explanation:

Answer:

h+12

Step-by-step explanation:

Increase by means add

h+12

The function f(x) = (x-4)(x - 2) is shown below. What is true about the domain and range of the function?


A.The domain is all real numbers, and the range is all real numbers greater than or equal to 1.


B.The domain is all real numbers such that 2 < x <4 and the range is all real numbers greater than or equal to -1.


C.The domain is all real numbers, and the range is all real numbers


D.The domain is all real numbers, and the range is all real numbers greater than or equal to -1

Answers

The answer is B The domain is all real numbers such that ...

Question 1. Order these from least to greatest:
THE IMAGE BELOW IS WHAT YOU ORDER FOR QUESTION 1

2. Order these in ascending order (least to greatest):
43/50, 0.91, 7/8, 84%

Answers

1: 2.62 2.4 0.268 2.26 2.71 (not answer)

for number 1 (greatest to least)

271% then 2.62 then 2 2/5 then 2.26 then 26.8%

2: least to greatest

.86 .91 .875 .84

84% then 43/50 then 7/8 then 0.91

what is a prime factor

Answers

Answer:

Prime factors are factors of a number that are, themselves, prime numbers. 

Prime factors are numbers that you can’t multiply them by another number. Only by 1.
For example: 9, you can only multiply 9x1. Hope this helps :)

7. What is the slope of the line?
2x - 5y =8

Answers

Answer:  slope is −25 - 2 5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

USING THE TABLE BELOW , DETERMINE THE VALUE OF f(g(13)).
A.9
B.13
C.2
D.5
E.8




X| F(x) g(x)
2 9 5
5 2 8
8 13 9
9 8 13
13 5 2

Answers

Answer:

f(g(13)) = 9 ⇒ (A)

Step-by-step explanation:

Composite function: is when one function is inside of another function

Eamples: If f(x) and g(x) are two functions, then

f(g(x)) is a composite function where g(x) is the domain of f(x).g(f(x)) is a composite function where f(x) is the domain of g(x).

The given table

→  x  →  f(x)  →  g(x)

→  2  →  9    →   5

→  5  →  2    →   8

→  8  →  13   →   9

→  9  →  8    →   13

→  13 →  5    →   2

Use the table to answer the question

∵ f(g(13)) is a composite function

∴ g(13) = x of f

→ g(13) means value of g at x = 13

g(13) = 2

→ That means we need to find f(2)

f(g(13)) = f(2)

→ Find the value of f when x = 2

∴ f(2) = 9

f(g(13)) = 9

The answer is A

do you believe in positivity?​

Answers

Answer:

Yes

Step-by-step explanation:

yes sometimes i guess i do

Please help this is clevermilkshakes sister

Answers

Answer:

>

Step-by-step explanation:

You have 500 meters of fencing with which to make two enclosures.
One enclosure will be in the shape of a square, and the other will have the shape of an isosceles right triangle. For example, the enclosures might look like this:

1) How long should the legs of the triangle be to minimize the combined area of the two enclosures?

Answers

Answer:

The length of the legs of the triangle is approximately 86.85 meters

Step-by-step explanation:

The requirement is to minimize the combined area of the two enclosures

The given parameters are;

The length of (perimeter) fencing available = 500 meters

The shape of the first enclosure = Square

The shape of the second enclosure = Triangle

The shape of the triangle = Isosceles right triangle

The area of the square = Side, S, squared = s²

The perimeter of the square = 4 × s

The area of the triangle = 1/2 × Base × Height = 1/2 × b × b= 1/2·b²

Where;

b = The lengths of the legs of the triangle

Given that the perimeter is 500 m, we have;

length of hypotenuse of triangle = √(b² + b²) =√(2·b²) = b·√2

∴ 500 - 4·s = b + b + b·√2 = 2·b + (√2)·b = b·(2 + √2)

b = (500 - 4·s)/(2 + √2)

∴ The area of the triangle = 1/2 × ((500 - 4·s)/(2 + √2))²

The area of the square + The area of the triangle = s² + 1/2 × ((500 - 4·s)/(2 + √2))²

At minimum value, we have;

d(s² + 1/2 × ((500 - 4·s)/(2 + √2))²/ds = 0, gives (Using online application)

[tex]2\cdot \left (s - \dfrac{8\cdot (125 - s)}{\left (2 + \sqrt{2} \right )} \right ) = 0[/tex]

From which we have, s = 500/(7 + 2·√2)

Differentiating again gives;

[tex]\dfrac{\mathrm{d} \left (2\cdot \left (s - \dfrac{8\cdot (125 - s)}{\left (2 + \sqrt{2} \right )} \right ) \right ) }{\mathrm{d} x} = 26 - 16 \cdot \sqrt{2} \approx 3.37[/tex]

Therefore, the point is a local minimum and the length of the legs of the triangle should be given as follows;

The length of the legs of the triangle = b = (500 - 4·s)/(2 + √2) = (500 - 4*(500/(7 + 2*√2)))/(2 + √2) ≈ 86.85

The length of the legs of the triangle ≈ 86.85 meters.

Find the y-intercept of the line on the graph

Answers

Answer:

y = -4

Step-by-step explanation:

the y-intercept is where the line crosses the y-axis, the one going up and down

True or false To increase the size os an drawing we multiply the side lengths by a fraction​

Answers

Answer:

true im not sure

Step-by-step explanation:

Solve the following questions using the integer rules of addition and subtraction.
I WILL GIVE BRAINLEST
9.
26 + - 14
14.
11 - 7 =
10.
21 - (-12) =
15.
-19+
= -23
I
11.
- 12 + 34 =
16.
- 23 = 10
12.
-23 + -21 =
17.
-12 + 34 - 20 =
13.
.
20 - 41 =
18.
13 + - 22 - (- 4) =

Answers

9. 12
14. 4
10. 33
15. -4
11. 22
16. -13
12. -44
17. 2
13. -21
18. 13

If five chocolate bars cost £3.25, work out the cost of three.

Answers

Answer:

Three chocolate bars will cost £1.95

Step-by-step explanation:

I divided £3.25 by 5, this told me they cost £0.65 each so i used that and multiplied it by 3 to get my answer £1.95

Please help!!

Jaden bags groceries at Sprouts. On average, he fills 21 bags for every 3 customers. What is Jaden's rate of change and what does it represent?

Answers

jaden fills seven bags per customer

Evaluate –23 – |2 + 4z| if z = –5.

Answers

Answer:

-41

General Formulas and Concepts:

Order of Operations: BPEMDAS

Absolute Value, symbol |x|, makes any negative number positive

Step-by-step explanation:

Step 1: Define

-23 - |2 + 4z|

z = -5

Step 2: Solve

Substitute:                            -23 - |2 + 4(-5)|Multiply:                                -23 - |2 - 20|Subtract:                               -23 - |-18|Evaluate:                               -23 - 18Subtract:                               -41
the answer you are looking for is -41

Anna bought 2 3/5 lb of grapes and Sanika bought 1/2 lb less than Anna. How many pounds of grapes did they buy in all?

Answers

Answer:

4 7/10

Step-by-step explanation:

4 7/10 the answer is

name the property that If x=y, then 3x = 3y illustrates

Answers

Answer:

division property of equality

Step-by-step explanation:

Division property of equality

Someone please hurry and help me

Answers

Answer:

C

Step-by-step explanation:

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