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4 years ago

A figure is translated using the rule (x,y). => (x-3,y+6)

Mathematics

1 answer:

zvonat [6]4 years ago

8 0

So remember that the x-axis moves the coordinate horizontally (left and right), with the greater the x-coordinate the further right the coordinate is. And the y-axis moves the coordinate vertically (up and down), with the greater the y-coordinate the further up the coordinate is.

Looking at this translation in our problem, we decrease the x-coordinate by 3 and increase the y-coordinate by 6. Using what we know, this translation moves the figure 3 units to the left and up 6 units, or D.

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Write a system of equations to describe the situation below, solve using substitution, and fill in the

timofeeve [1]

Answer:

Let C represent the total cost of each deal

Let T be the number of trips down the water slide

C = 32 for the 1st deal since the cost is the same regardless of how much she rides

C = 18 + T for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14 trips

The cost must be $32 since that is the only cost possible for the 1st deal

Step-by-step explanation:

8 0

3 years ago

A sequence of digits has the property that each pair of successive digits, taken in the order written, forms a decimal numeral r

alex41 [277]

Answer:

Concept: Mathematical Sequences

Let An be 99 a double digit multiple
The sequence is finite.
Finite= restricted and not bounded to positive infinity
By that logic the last possible digit is 999999999999999999999999999999999999999999999

7 0

3 years ago

The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EF

morpeh [17]

Answer:

EF = 6m.

Step-by-step explanation:

Given that:

1) All the edges of the pyramid in the model have length 12m.

So, AB = 12m

2) E is the middle of AT, F is the middle of BT

So, EF is a line segment connecting the midpoints of ΔATB

So, by applying The Triangle Mid-segment Theorem

EF // AB and EF = 0.5 AB

So, EF = 0.5 AB = 0.5 * 12 = 6m

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

The Triangle Mid-segment Theorem:

The line segment connecting the midpoints of any two sides of a triangle has the following properties:

1) The line segment will be parallel to the third side.

2) The length of the line segment will be a half of the length of the third side.

8 0

3 years ago

If 4 pups are born, what is the probability that all are male

Neporo4naja [7]

Answer:

half

Step-by-step explanation:

3 0

3 years ago

Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the ot

Softa [21]

Answer:

a. Mean = 4.5, Standard Deviation = 1.775

b. 0.0152

Step-by-step explanation:

Given

n = 15 purchasers

p = Success = 30%

p = 0.3

q =Failure = 70%

q = 0.7

Mean = np

Mean = 15 * 0.3

Mean = 4.5

Standard Deviation = √Variance

Variance = npq

Variance = 15 * 0.3 * 0.7

Variance = 3.15

Standard Deviation = √3.15

Standard Deviation = 1.774823934929884

Standard Deviation = 1.775 ---------- Approximated

The probability that the number who want new copies is more than two standard deviations away from the mean value

Standard Deviation = 1.775

Mean = 4.5

2 Standard Deviation and Mean = 2 * 1.775 + 4.5

= 3.55 + 4.5

= 8.05

P(X>8.05) = P(9) + P(10) +........+ P(15)

Using the binomial distribution

(p + q) ^ n where p = 0.3, q = 0.7 , n = 15

Expanding (p+q)^n where n = 15 and r > 8

We have

15C9 p^9 q^6 + 15C10 p^10 q^5 + 15C11 p^11 q⁴ + 15C12 p^12 q³ + 15C13 p^13 q² + 15C14 p^14 q + p^15

= 5005 (0.3)^9 (0.7)^6 + 3003 (0.3)^10 (0.7)^5 + 1365 (0.3)^11 (0.7)⁴ + 455 (0.3)^12 (0.7)³ + 105 (0.3)^14 (0.7)² + 15 (0.3)^14 (0.7) + 0.3^15

=0.015234

7 0

4 years ago