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il63 [147K]
3 years ago
12

Point P(-5,2) is translated using the rule (x + 3, y - 1) What is the x - coordinate of P'​

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0

Answer:

(-5 2) = (x + 3, y - 1) (since point p is translated using the rule (x + 3, y - 1))

Comparing each axis,

-5 = x + 3

2 = y - 1

so for x axis:

x = -5 - 3

x = -8

Also, for y axis:

y = 2 + 1

y = 3.

Brums [2.3K]3 years ago
4 0

Answer:

-2

Step-by-step explanation:

Since we are adding 3 to the x-coordinate and subtracting 1 from the y-coordinate, (-5, 2) becomes (-2, 1).

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a studernt has pased 60 percent of 20 quizzes he has written so far successfully. if the student 50 quizzes during the year, and
faust18 [17]

Answer:

72%

Step-by-step explanation:

There are a total of 50 quizzes in the year

From the first 20, the student passes 60%. This makes a total of

\frac{60}{100} (20) = 12

12 passes

Out of the remaining 30 quizzes the student passes in 80% of them. This makes a total of

\frac{80}{100} (30) = 12

24 passes

Adding the two values

12 + 24 = 36

The student passes 36 quizzes out of 50.

We convert this to a percentage

\frac{36}{50} (100) = 72%

5 0
3 years ago
(Sec. 2.3) A restaurant having a grand opening is allowing visitors to try 6 different free samples from a selection. Options fo
Akimi4 [234]

Answer:A)35choices

B)475,020choices

C)132choices

D)0.000278

E)0.000166

Step-by-step explanation:

Given 7poultry items represented by 7p

10 red meat items=10R

12 vegetarian items=12V

@

A)there are 7combination 3ways of selecting 3out of 7 poultry items

From the formula nCr=n!/(n-r)!r!

7C3=7!/(7-3)!3!=7!/4!×3!=35choices

b)total items available=7p+10R+12V(denotation explained above)=29items

Choosing 6items implies

29C6=29!/(29-6)!×6!

29!/23!×6!=475,020 ways

C)7C2+10C2+12C2

7!/5!2!+10!/8!2!+12!/10!2!

21+45+66=132 choices

D) probability (choosing 2items from each class)=

7C2+10C2+12C2/29C6

Where 29C6 represent total probable.

21+45+66/29!/23!6!

=132/475020=0.000278choices

E)for meats to be in the majority on a 6choices selection impliee that vegetarian items will be

0,1 or2i.e combination of vegetarian and meat will be(0,6)or(1,5)or(2,4) .

Prob(0veg)+prob(1veg item) or prob(2veg items)

12C0+12C1+12C2/29C6

=1+12+66/475,020

=0.000166

5 0
3 years ago
Write equivalent expression of 15g+20h​
JulijaS [17]

In this question, you're trying to make an equivalent expression.

Your expression should be similar to:

15g + 20h​

One of the best ways to make an equivalent expression is by using the distributive property.

You would see they're both divisible by 5, so we would be using 5 in our expression.

Your expression should look like this:

5(3g + 4h)

Answer:

5(3g + 4h)

3 0
3 years ago
Show that tangent is an odd function.Use the figure in your proof.
svlad2 [7]

We have to prove that the tangent is an odd function.

If the tangent is an odd function, the following condition should be satisfied:

\tan(t)=-\tan(-t)

From the figure we can see that the tangent can be expressed as:

We can start then from tan(t) and will try to arrive to -tan(-t):

\begin{gathered} \tan(t)=\frac{\sin(t)}{cos(t)}=\frac{y}{x} \\ \tan(t)=\frac{-(-y)}{x}=\frac{-\sin(-t)}{\cos(-t)} \\ \tan(t)=-\frac{\sin(-t)}{\cos(-t)} \\ \tan(t)=-\tan(-t) \end{gathered}

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.

7 0
1 year ago
Is this a linear equation <br> 4xy + 2y = 9
puteri [66]

Answer:

no

Step-by-step explanation:

because you have two variables x and y, and there is two letters attached to one number 4xy, so no is not a linear equation

5 0
2 years ago
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