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viktelen [127]
3 years ago
14

Triangle ABC has vertices at A(-3, 5), B(0, 0), and C(6, 5). It is transformed so that Triangle A'B'C' has coordinates A'(1, 11)

, B'(4, 6), and C'(10, 11).
Jacob says that the transformation was an x-axis reflection. Is he correct? Explain.
Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Jacob is incorrect. The transformation was no a reflection, but a translation. The transation was (x+11,y+6)(11 units rigth and 6 units up). (Explain what the points would have been if it was a reflection across the x-axis)

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Question is in the picture, please help me out!!
Grace [21]

The arithmetic sequences are as follow:

<h3>What is Arithmetic Sequence?</h3>

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

1) t(n) = 5n + 4

t(1) = 9, t(2) = 14, t(3) = 19

So,

9,14,19,...

d= 14-9 = 5

d= 19-14 =5

Hence, it is an AP

2) 1, 2, 4, 8 , 16

Hence, it is not an AP

3) 3, 6, 9 ,...

It is an AP

4)It is given that it is an AP

5) tn =  2*3^n

 t1= 6, t2= 18, t3= 54

So, 6, 18, 54,...

Hence, it is not an AP

6) 3 , 1, 1/3,...

It is not an AP

7) t(n+1)= 6*t(n)

t(1) = -1

t(2)=-6

t(3)= -36

Hence, it is not an AP

8) -3, 1, 5, 9

Hence, it is an AP.

9) 1, 4, 9,...

Hence, it not an AP

10) 2,1,0,1,2,...

It is not an AP

11) t(n)= -2n-5

t(1)= -7, t(2)= -9, t(3)= -11

Hence, it is an AP

12) tn= (1/2)^n

 t1= 1/2, t2= 1/4, t3= 1/8

It is not an AP

Learn more about AP here:

brainly.com/question/24873057

#SPJ1

6 0
2 years ago
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with 3/4 pound?
defon

Answer:

1

Step-by-step explanation:

6 0
3 years ago
Sami made 23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his
xxTIMURxx [149]

Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour

7 0
3 years ago
I don't remember what it is that I'm doing, as I did the lessons before spring break. Help?
blsea [12.9K]
Extraneous solutions, is answers that we get because of squaring both sides of the radical equation, but in reality, they are not going to be the solutions of  the given equation.
(√(4x+41))²=(x+5)²
4x+41=x²+10x+25
x²+6x-16=0
(x-2)(x+8)=0
x1=2 , x2=-8,
And now we must to check them by substitution into initial equation

√(4x+41)=x+5
1)   x=2,   √(4*2+41)=2+5, √49=7, 7=7 true
2) x=-8,     √(4*(-8)+41)=-8+5,   √9 =-3    false,
so an extraneous solution x=-8
6 0
3 years ago
A 40 yd polygon and 15 yd polygon are similar. find the area of their ratios
Lubov Fominskaja [6]
Because we are dealing with area, we have to square the difference of the 2 polygons.40 / 15 = <span> <span> <span> 2.6666666667 </span> </span> </span> <span> <span> <span> 2.6666666667^2 = </span></span></span> <span> <span> <span> 7.1111111111
</span></span></span>
<span><span><span> </span> </span> </span> So, the 40 yard polygon has <span> <span> 7.1111111111</span>times the area of the 15 yard polygon.
</span>
<span />
7 0
3 years ago
Read 2 more answers
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