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ludmilkaskok [199]
3 years ago
11

A triangular pyramid is defined by the points .The pyramid is then reflected over the xz-plane. The reflected image is then tran

slated 3 units back, 2 units left, and 4 units up.
(a) Write the general rule you use for the reflection.
(b) Show the results of your calculations for the reflection.
(c) Write the general rule you use for the translation. (Hint: Begin with the result of the rule for the reflection.)
(d) Show the results of your calculations for the translation
Mathematics
1 answer:
Liula [17]3 years ago
3 0
THE ANSWER IS B Show the results of your calculations for the reflection.

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If the two sides of a triangle are 2 and 7 what is the possible lengths of the third side.
koban [17]

b²=c²-a²

b²=7²-2²

b²=49-4

b²=45

b=√45

b=6.7

3 0
3 years ago
Right now Seth's age is 4/5 the age of his brother Eric. Twenty-one years ago, Eric was twice as old as Seth. What are their age
lana [24]

Answer:

          Present Time                                                                

Let X= Eric's age                                                            (4/5)X= Seth's age

Question:  What are their ages now?________________________________________________________________________

                                             Past (21 years ago)

X-21 =Eric's age                                                                (4/5)X-21=Seth's age

2*[4/5(X-21]=Eric's age

Therefore, X-21= 2*[4/5(X)-21]=Eric's age           Substitution

_______________________________________________________________________

X-21= 8/5 X  - 42         Solve for "X" by adding 42 to both sides.

X-21+42=(8/5) X

X+21 = (8/5)X              Subtract "X" from both sides.

21=(3/5)X                    Multiply both sides of equation by reciprocal of (3/5), which is 5/3

21*(5/3)= X                  Finish the problem to find value of "X," which is Eric's age.  

                                   Then find  4/5 (X)= Seth's age  

8 0
2 years ago
Read 2 more answers
An adult and 5 children rent a skates. it costs $4 per adult for skates and a total of $16
Elenna [48]

Answer:

$2.20 per child

Step-by-step explanation:

16-4=11

11/5=2.2


3 0
3 years ago
Match each transformation of function f to a feature of the transformed function.
andrezito [222]

By analyzing the parent function graph, we will see that:

  • 1) m(x) = -f(x) ⇒  "function decreases as x increases"
  • 2)  h(x) = f(x) + 2 ⇒ "asymptote of y = 2"
  • 3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"
  • 4)  g(x) = 2*f(x)  ⇒ "y-intercept at (0, 2)"

<h3>What thing does each transformation?</h3>

Let's list each transformation and let's see which is the correct option for each one.

1) m(x) = -f(x).

This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: <em>"function decreases as x increases"</em>

2) h(x) = f(x) + 2

This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.

So the correct option is: <em>"asymptote of y = 2.</em>

3) j(x) = f(x + 2)

This is a shift of 2 units to the left, notice that when we evaluate this in x =  0 we et:

j(0) = f(2) = 2^2 = 4

So the y-intercept os (0, 4).

4) g(x) = 2*f(x)

This is a vertical stretch of scale factor 2.

When we evaluate this in x = 0, we get:

g(0) = 2*f(1) = 2

So the y-intercept is at (0, 2).

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0
2 years ago
Please answer fast it will be very helpfull please it is a humble requst A samosa costs Rs 5 and a cold drink costs Rs 10. You t
OLEGan [10]
The first answer is 40 second 65 third 56 and then fourth 90
5 0
3 years ago
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