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solong [7]
2 years ago
7

Samantha drew Triangle JKL with the coordinates (2,3), (4, 3) and (5,2). She reflected this image over the x-axis to create an i

mage. What are coordinates of this image?

Mathematics
1 answer:
zavuch27 [327]2 years ago
3 0

Answer:

J'(2,-3), K'(4, -3) and L'(5,-2)

Step-by-step explanation:

The given triangle has vertices at  J(2,3), K(4, 3) and L(5,2).

The transformation rule for a reflection in the x-axis is:

(x,y)\to (x,-y)

We substitute the points to obtain the coordinates  of the image triangle  J'K'L'

J(2,3)\to J'(2,-3)

K(4,3)\to K'(4,-3)

L(5,2)\to L'(5,-2)

In other words, we negate the y-coordinates of triangle JKL to obtain the coordinates of J'K'L'

See attachment for graph.  

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Jorge is scheduled to work 36 hours this week. He has already worked 27.25 hours. How much more hours does gorge have to work th
lesantik [10]

Answer:

Step-by-step explanation:

Beth earns $54 per day and $10 for each extra hour she works. Ray earns $60 per day and $8 for each extra hour he puts in. They both work five days a week. The equations show their weekly earnings with respect to how many extra hours they work.

Beth: y = 270 + 10x

Ray: y = 300 + 8x

This system is graphed below.

6 0
2 years ago
Kenny ordered guitar strings for Glenn’s Guitar Shop. The premium guitar strings are $4.50 apiece. The standard guitar strings a
krek1111 [17]

Answer:

The equation for the total number of strings ordered is

X+Y=80

The equation based on the price of each type of string and the total value of the order is

4.50 x +1.50 y = 225

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
De acuerdo con los registros de una empresa, se requieren 54 toneladas de naranjas para producir 45 toneladas de concentrado en
worty [1.4K]

Answer:

79.2 tons

Step-by-step explanation:

What must be done is to apply a proportion rule, taking into account what happened in the registry and what is wanted for this new year. In the following way we can calculate the amount of tons of oranges.

Powder concentrate                    Oranges

         45 tons -------------------------> 54 Tons

         66 tons -------------------------> X Tons

X = 66 * 54/45

X = 79.2, that is to say that 79.2 tons are necessary to produce 66 tons of powder concentrate to make juice.

5 0
2 years ago
According to a 2011 report by the United States Department of Labor, civilian Americans spend 2.75 hours per day watching televi
marusya05 [52]

Answer:

Step-by-step explanation:

Confidence interval is written in the form, sample mean ± margin of error

The sample mean is an estimator for the population mean. The confidence level is used to express how confident we are that the population mean is within the calculated confidence interval. The lower limit of the given confidence interval is 2.619 hours/day while the upper limit of the confidence interval is 3.401 hours/day

Therefore, the INVALID interpretations of the 95% confidence interval are

A. About 95% of all Cal Poly students spend between 2.619 and 3.401 hours/day watching TV.

B. There is a 95% chance that, on average, Cal Poly students spend between 2.619 and 3.401 hours/day watching TV.

D. In the long run, 95% of the sample means will be between 2.619 and 3.401 hours.

E. None of the above.

3 0
2 years ago
The table shows the number of grapes eaten over several minutes. What is the rate of change for the function on the table? 15 gr
Mkey [24]

Answer:

1. 15 grapes eaten per minute.

Step-by-step explanation:

We have been given a table that shows the number of grapes eaten over several minutes. We are asked to find the rate of change of our given function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

\text{Rate of change of a function}=\frac{\text{Vertical change}}{\text{Horizontal change}}

\text{Rate of change of a function}=\frac{y_2-y_1}{x_2-x_1}

y_2-y_1=Difference between two y-coordinates.

x_2-x_1=Difference between corresponding x-coordinates of y-coordinates.    

Upon substituting coordinates of any two points in above formula we will get,

\text{Rate of change of the function}=\frac{60-15}{4-1}

\text{Rate of change of the function}=\frac{45}{3}

\text{Rate of change of the function}=15

We can see that rate of change of our given function is 15 grapes eaten per minute and 1st option is the correct choice.


7 0
2 years ago
Read 2 more answers
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