What is the gradient of the graph shown?

Answer:

No, the slope's are not the same

Short-cut explanation:

Simply count the spaces between the two lines at the very top then compare to the number of space between at the very bottom of the graph.

There are 2 spaces between the two lines at the top. There seems to be 1 and 1/2 spaces at the very bottom.

[tex]2\neq 1.5[/tex] , therefore, not parallel.

If they are the same, then it is parallel. Although, in this case, it is not(Shown on the graph).

Answer:

Basic Concept:

A criterion for parallel lines is that they should have equal slopes. If the slopes of these lines is equal, these lines are parallel and are intersecting if the slopes are not equal

let the line on the left be 'line 1' and the line on the right be 'line 2'

Slope of Line 1:

We are given 2 points on the line and we will use them to get its slope

We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate

The points given are:      (-3 , -5)              and           (0 , 4)

Change in x:

The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates

Change in x (Δx) = x1 - x2

Δx = -3 - 0

Δx = -3

Change in y:

The change in y of these 2 can similarly be calculated by subtrating the y-ordinates

change in y (Δy) = y1 - y2

Δy = -5 - 4

Δy = -9

Slope of the line:

Since the slope = Δy / Δx

Replacing the known values:

Slope = -9 / -3

Slope = 3

Therefore, the slope of 'line 1' is 3

Slope of Line 2:

We are given 2 points on the line and we will use them to get its slope

We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate

The points given are:      (0 , -6)              and           (4 , 4)

Change in x:

The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates

Change in x (Δx) = x1 - x2

Δx = 0 - (4)

Δx = -4

Change in y:

The change in y of these 2 can similarly be calculated by subtrating the y-ordinates

change in y (Δy) = y1 - y2

Δy =  -6  - 4

Δy = -10

Slope of the line:

Since the slope = Δy / Δx

Replacing the known values:

Slope = -10 / -4

Slope = 5/2

Therefore, the slope of 'line 2' is 5/2

Conclusion:

We have calculated the slope of both the lines.

now, we will compare the slopes to find out if the lines are parallel or not

Slope 1 = 3

Slope 2 = 5/2

Since the slopes are NOT equal, the lines are not parallel

[tex]\huge\bold\green{Answer:-}[/tex]

1. the twenty-fourth and final letter of the Greek alphabet (Ω, ω): in English transliteration, as in the etymologies of this dictionary, it is shown as ō

2. the last (of any series); end

When it comes to fat, there's one type you don't want to cut back on: omega-3 fatty acids. Two crucial ones -- EPA and DHA -- are primarily found in certain fish. ALA (alpha-linolenic acid), another omega-3 fatty acid, is found in plant sources such as nuts and seeds. Not only does your body need these fatty acids to function, but also they deliver some big health benefits.

So assuming he bought the entire 29 calculators he would've spent:

[tex]29 \times 3.85 = 111.65[/tex]

That leaves him with,

[tex]200 - 111.65 = 88.35[/tex]

Looking back at the prices i'm assuming there is no way he can reach 99 calculators with what he has left, so i will establish an equation that defines the number of calculators he can buy with the remaining £88.35.

Let c be the number of calculators he can still buy. Note that we are working in the 30-99 range so each calculator costs £3.65

[tex]88.35 = 3.65c[/tex]

[tex]c = \frac{88.35}{3.65} = 24.2[/tex]

So now we know he can still buy 24 calculators in addition to the 29 calculators, so in total he bought,

[tex]29 + 24 = 53[/tex]

Your answer would be 53 calculators.

What about the 0.2 remaining 'calculators',well that would be left over money which aren't sufficient to purchase an additional calculator+we were working with the 30-99 range meaning each one costs £3.65

[tex]0.2 \times 3.65 = 0.73[/tex]

So he bought 53 calculators and has 0.73£ remaining.

Hope this helps :)

So $18 would be 120%. This is because the yoyo is 100% and you increased by 20%. If this was a calculator question, you would do 18 / 120 than times by 100 to get 100%. Naturally it would just be 18/12 x 10 = 15. so $15 is 100% or the originally price.

Hope it helped :)

The original price was $15.00

The price of the yo-yo increased by 20% and went to $18.00. Assuming the original price is x, the original price would be:

18 = x × (1 + 20%)

18 = x × 1.20

18 = 1.20x

x = 18 / 1.20

x = $15.00

In conclusion, the original price was $15.00 but after the price increased by 20%, it went to $18.00.

Find out more at https://brainly.com/question/5190712.

If the ice mass were deposited on the total Earth's surface, it would be 58.82 meters or 192.92 feet.

The formula that can be used is:

To convert meters to feet multiply the result by 3.28.

Learn more about feet in: https://brainly.com/question/15838370

Answer:

its the 3 one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Rotates 270 Degrees clockwise and translates left and up.

Answer:

3/6

Step-by-step explanation:

15 - (6+3) = 6

6 ÷ 2 = 3

number of red is 6

and green is 3

3/6

Answer:

n=91

Step-by-step explanation:

(n×7)+2=100

n+9=100

-9 from both sides

n=91

Answer:

Step-by-step explanation:

i think it is mostly milliliters (ml)  and liters (l)  but i think sometimes cubic meter (m³) is used.

Answer:

11c

Step-by-step explanation:

They are like terms meaning they all have the same variable you can just add them.

4c+c+6c

11c

Answer:

11c

Explanation:

We are given the expression:

4c+c+6c

We can simplify by combining like terms.  All three terms have a “c” so they can all be combined.

Factor out a “c” and add the coefficients.

4c+1c+6c

(4+1+6)c

(11)c

11c

4c+c+6c simplified is 11c

Answer:

[tex]s=r\theta\\\theta=s/r\\\theta=19/4\\\theta=4.75[/tex]

Step-by-step explanation:

There is a formula that relates the arc length of a circle of radius, r, to the central angle, [tex]\theta[/tex] in radians.

[tex]s=r\theta[/tex]

Answer:

(1) 4.5 feet per second

Step-by-step explanation:

Given;

distance traveled by Laura, d = 54 feet

time to taken for Laura  to cover this distance, t = 12 seconds

Laura's speed is given by the following equation;

speed = distance / time

Laura's speed = 54 ft / 12 s

Laura's speed =  4.5 feet per second

Therefore, the speed with which Laura is walking is 4.5 feet per second.

Answer:

Yes 4.25 is a rational number

Answer: Yes, 4.25 is a rational number

Any terminating decimal can be written as a fraction of two integers.

In this case, 4.25 = 4.25/1.00 = 425/100

Answer:

[tex]y=\frac{2}{3} x-6[/tex]

Step-by-step explanation:

Answer:

b jdjjsgd

Step-by-step explanation:

edge 2020hianhisis

Answer: 16 degrees

Step-by-step explanation:

(3x - 18) = 66

Because vertically opposite angles are equal

66 - 18 = 48

48 divided by 3 = 16

The amount of cardboard = Surface area of a triangular prism = 679.2 in.²

Surface area of a triangular prism = (perimeter of base × length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)L + bh

The mailing tube is a triangular prism with an equilateral triangular base, and has the following given values:

Plug the values into the surface area formula to find the amount of cardboard that would be used to make the tube:

Amount of cardboard = Surface area of a triangular prism = (6 + 6 + 6)36 + (6)(5.2) = 679.2 in.²

Learn more about surface area of triangular prism on:

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Answer:

97

Step-by-step explanation:

PEMDAS

6 * 8 * (1 + 1) - 3 + 4

Parenthesis first!

6 * 8 * 2 - 3 + 4

Multiplication/Division {Left to right}

48 * 2 - 3 + 4

96 - 3 + 4

Addition/Subtraction {Left to right}

93 + 4

97

Answer:

Step-by-step explanation:

= 7.4z + 8z - 12

= (7.4 + 8)z - 12

= 15.4z - 12

Answer:

2(4x - 8y) - 9x + 7

8x - 16y - 9x + 7

-1x - 16y + 7

Answer:

translation then reflection

Step-by-step explanation:

because to get 2 it is moved then to get 3 it is reflected  (please try doing these yourself first!)

Answer:

D

Step-by-step explanation:

Translates left and down then reflects over y.

Answer: Given : A  rectangle A B CD

To Prove: Diagonals of the rectangle bisect each other

Proof:

1. ABCD is a rectangle.  

→AB ║CD→ Definition of a Parallelogram

→AD║BC→ Definition of a Parallelogram

⇒∠CAD ≅ ∠ACB  →→[Alternate interior angles theorem]

⇒Line segment BC ≅ Line segment DA→→Definition of a Parallelogram

In  Δ A DE and Δ C BE

AD=BC⇒Proved above

∠CAD=∠ACB ⇒Alternate interior angles theorem

∠ADB=∠CBE ⇒Alternate interior angles theorem

→→Δ A DE ≅  Δ C BE⇒Angle-Side-Angle (A S A) Postulate

BE=DE→→[C P CT ]

A E=CE→→[C P CT ]

⇒Line segment AC bisects Line segment B D⇒Definition of a bisector

Blank Space : Option A⇒∠ADB ≅ ∠CBD

Answer:

Step-by-step explanation:

Doesn't give the correct set of numbers im sorry I can't help you :(

Answer:

3.5

Step-by-step explanation:

(42 - 14)/(12 - 4) = 28/8 = 7/2 = 3.5

Answer:

73 and 44 hours

Step-by-step explanation:

correct if im wrong

Answer:

Actual: 34 Estimated: 40

Step-by-step explanation:

The difference between these values is that the actual difference is more accurate. If you're asking for the difference as in subtracting, then 7 is the answer. Hope this helps :)

Answer:

6

Step-by-step explanation:

Actual values = 55 - 21

                         = 34

Estimated values = 60 - 20 = 40

Difference between actual and estimated values = 40 - 34 = 6