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adelina 88 [10]
3 years ago
8

Reflect triangle A in the line y = 1.

Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

Step-by-step explanation:

In the figure attached,

Vertices of the triangle ABC are A(-4, 4), B(-1, 4) and (-1, 2)

When we reflect this figure across a line y = 1

Vertices of the image triangle A'B'C' will be

Coordinates of A'

A(-4, 4) → A'[(1 + 5), 4]

            → A'(6, 4)

Coordinates of B'

B(-1, 4) → B'(-1 + 4, 4)

           → B'(3, 4)

Coordinates of C',

C(-1, 2) → C'[(-1 + 4), 2]

           → C'(3, 2)

Graph these points and join them to form the image triangle A'B'C'.

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B. Translate each word into algebraic eqaution. (Use any letter)
Paraphin [41]

Answer

1. 9

1. 13

1. 147

1. 7/3

1. 9

Step-by-step explanation:

Algebraic equations

1. 2x=18

2. x-5=8

3. (x/7)=21

4. 3x+5=12

5. 2x=18

4 0
2 years ago
Akron Cinema sells an average of 500 tickets on Mondays, with a standard deviation of 50 tickets. If a simple random sample is t
Paha777 [63]

Answer:

Step-by-step explanation:

Assuming the number of tickets sales from Mondays is normally distributed. the formula for normal distribution would be applied. It is expressed as

z = (x - u)/s

Where

x = ticket sales from monday

u = mean amount of ticket

s = standard deviation

From the information given,

u = 500 tickets

s = 50 tickets

We want to find the probability that the mean will be greater than 510. It is expressed as

P(x greater than 510) = 1 - P(x lesser than or equal to 510)

For x = 510

z = (510 - 500)/50 = 0.2

Looking at the normal distribution table, the probability corresponding to the z score is 0.9773

P(x greater than 510) = 1 - 0.9773 = 0.0227

7 0
2 years ago
Read 2 more answers
The function d(s) = 0.0056s squared + 0.14s models the stopping distance
victus00 [196]

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be d(s) = 0.0056\cdot s^{2} + 0.14\cdot s, where d is the stopping distance measured in metres and s is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of d(s).

2) Add the function d = 7\,m.

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

4 0
2 years ago
The weight of 100 identical samples of a substance is
serious [3.7K]
0.1 / 100 * 10 = 0.01 pounds
8 0
3 years ago
What kind of function is being illustrated by f(x)=|2x³-3x|+5?
Dimas [21]

Answer:

Option D: Absolute value function

Step-by-step explanation:

The absolute value of a number is the distance of the number from 0 to the left or right on the number line.

We are given the function;

f(x) = |2x³ - 3x| + 5

This function contains an absolute value symbol which is |2x³ - 3x|.

This function is thus illustrated by an an absolute value function because an absolute value function will be one that contains algebraic expressions within absolute value symbols.

5 0
2 years ago
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