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notsponge [240]
3 years ago
12

What is the graph of y = x - 3 (shown below) translated up 2 units?

Mathematics
2 answers:
Mrac [35]3 years ago
7 0
I don't see a "shown below," so I'm not sure if I could accurately answer your question. However, if your graph point is (x,-3), then it wants you to move your graphed point up two units. I believe that would be y = x -1? I'm not sure
Elan Coil [88]3 years ago
4 0

Answer:

The graph is that one which corresponds to the equation y = x-1. The graph is shown in the image below.

Step-by-step explanation:

Translate a linear curve means to move the whole curve up or down, where the final line will be in parallel to the original curve.

For translate the graph up to 2 unit, it must to be summed 2 unit in the right member of the original equation:

y = (x-3) + 2

y = x-3 + 2

y = x-1

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Distance formula for (0,1) (3,7)
krok68 [10]

if those r coordinates you can use the Pythagorean the to find the distance

plot the point and create a right triangle with the origin

could up the spaces and depending on the number, subtract the side from the hypotenuse or add the sides to find the hypotenuse

then square root both sides

5 0
3 years ago
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
Line k is parallel to line l. Lines k and l are parallel. Lines m and n intersect to form 2 triangles. The top triangle has angl
larisa86 [58]

Answer:The line that is congruent to angle 4 is angle 1

hope this helped :)

6 0
3 years ago
Read 2 more answers
Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
Does |6+(-1)| equal |14-19|? If you answer this can you please explain why
BlackZzzverrR [31]
It does. Because 6+(-1) equals 5 and so does 19-14
5 0
3 years ago
Read 2 more answers
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