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pochemuha
3 years ago
7

In the translation T of the graph below, use the figure to describe the following transformation. T T-1: (x, y) ( x, y) ( x + 3,

y + 1) ( x - 3, y - 1)
Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Answer:

(X - 3,  Y - 1).

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11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.
Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

[tex](\frac{5}{6}) ^2  = \frac{m}{108}[/tex]

⇒\frac{(5)^2}{(6)^2}   = \frac{m}{108}

or, \frac{25}{36}   = \frac{m}{108}  \implies m = \frac{108 \times 25}{36}  = 75

⇒ m = 75

Hence, the area of the smaller triangle is 75.

6 0
3 years ago
In one baseball season, Nolan hit twice the difference of the number of home runs Mrs. Davis hit and 6. Altogether, they hit 18
Alborosie

Answer:

Nolan hitted 8 home runs

Step-by-step explanation:

Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.

So, we can write the following equations:

N = 2 * (D - 6)

N + D = 18

Now we can solve the system of equations, using the value of N from the first equation in the second one:

2 * (D - 6) + D = 18

2*D - 12 + D = 18

3*D = 30

D = 10

Now we find N:

N + D = 18

N + 10 = 18

N = 8

So we have that Nolan hitted 8 home runs.

4 0
3 years ago
What is the total surface area of this rectangular pyramid?
umka2103 [35]

Answer:

225 square feet

Step-by-step explanation:

the base of the pyramid would be 76 ft², since 12*6=72. Then you get the surface area of the sides. 2 of the sides would be 48 ft², since (12*8)/2=48. The other 2 sides would be 28.5 ft², since (6*9.5)/2-28.5. Then you just add the surface areas of all the sides; 76+48+48+28.5+28.5 to get 225.

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
Mr Smith wants to ship a flagpole that is 5 1/2 feet long. Will the flagpole(f) fit in the box diagonally? Explain your answer.
leva [86]
What are the dimensions of the box???
4 0
3 years ago
How would you solve this problem?
photoshop1234 [79]

Answer:  [c, ∞)

<u>Step-by-step explanation:</u>

Range is all of the y-coordinates.

The parabola is upright (∪) because the coefficient of x² is positive.

So the minimum value is at "c" and the parabola tends toward infinity.

Range: y ≥ c    <em>in Interval Notation</em>: [c, ∞)

4 0
3 years ago
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