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Luda [366]
3 years ago
7

One vertex of a triangle is located at (0,5) on a coordinate grid. After a transformation the vertex is located at (5,0). Which

transformations could have taken place? Select two options.
Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

Two options for this case will be,

Clockwise rotation : -90°

Anti-Clockwise rotation : +270°

Step-by-step explanation:

If we rotate the triangle clockwise -90° then the vertex will be at (5,0).

Similarly by rotatating it anti-clockwise for +270° it will be at same position

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Brianna can buy 14 pencils for $1.50 at the school store. At that rate, about how much would 100 pencils cost?
LuckyWell [14K]

Answer:

we conclude that the cost of 100 pencils = $11

Step-by-step explanation:

Brianna can buy 14 pencils for $1.50 at the school store.

so

unit rate =  $1.50 /  14 pencils

              = 0.11 USD per pencil

Thus,

The cost of 1 pencil =  $0.11

The cost of 100 pencils = $0.11 × 100

                                       = $11

Therefore, we conclude that the cost of 100 pencils = $11

5 0
3 years ago
Use the Parabola tool to graph the quadratic function. f(x)=2x^2−12x+19 Graph the parabola by first plotting its vertex and then
Debora [2.8K]
To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form f(x)=x^2+bx+c it vertex (h,k) is given by h= \frac{-b}{2a}, k=f(h).
We can infet from our parabola that a=2 and b=-12. So lets replace those values in our formula:
h= \frac{-b}{2a}
h= \frac{-(-12)}{2(2)}
h= \frac{12}{4}
h=3
k=f(h)=2(3)^2-12(3)+19
k=2(9)-36+19
k=18-17
k=1
The vertex (h,k) of our parabola is (3,1)

Now to find our second point, we are going to evaluate our parabola at x=0
f(0)=2(0)^2-12(0)+19
f(0)=0+0+19
f(0)=19
Our second point is (0,19)

We can conclude that we can graph the parabola f(x)=2x^2-12x+19 using its vertex (3,1) and the point (0,19) as follows: 

7 0
3 years ago
I need help with this
otez555 [7]

Answer:

what

Step-by-step explanation:

7 0
3 years ago
How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0
3 years ago
A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?
enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

2.09 gallons ⇒ 1 minute

Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon    ⇒  x

Use cross multiplication to find the value of x.

2.09 x  =  327 × 1

2.09x   = 327

x   = 327 ÷ 2.09

x   = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

156.45 ÷ 60 = 2.60 hours

Let me know if you have any other questions :-)

7 0
2 years ago
Read 2 more answers
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