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SCORPION-xisa
1 month ago
11

Which triangle results from a reflection across the line x = 1?

Mathematics
2 answers:
Zina [12.3K]1 month ago
7 0
The correct answer is option D. Detailed explanation: As per the attached image. Observing the image, the coordinates are outlined. To determine the reflection of a point across a line, the distances from the points to the line must be equal. Point A(1,1) sits on the line x = 1, meaning its reflection A' remains at A'(1,1). Point C(2,5) is a distance of 1 from x = 1 on the right, hence its reflected position C' shifts left by the same distance — subtracting 1 from its x-coordinate places it at C'(1 - 1, 5) or C'(0, 5). Point B(4,1) is positioned 3 from x = 1 on the right; therefore, its reflection B' would also move left by 3 – leading to B'(1 - 3, 1) or B'(-2, 1). Plotting A', B', and C' confirms option D as the correct choice.
Svet_ta [12.7K]1 month ago
4 0
D
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which equation has an a-value of –2, a b-value of 1, and a c-value of 3? a. 0 = –2x2 x 3 b. 0 = 2x2 x 3 c. 0 = –2x2 3 d. 0 = 2x2
babunello [11817]
To identify the corresponding equation, you can follow these steps:

ax^2 + bx + c = 0
where a = -2
b = 1
c = 3

-2x^2 + x + 3 = 0

The right result will show as a: 0 = <span>-2x^2 + x + 3.</span>
8 0
1 month ago
Read 2 more answers
Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
Inessa [12570]

Response:

24.2 (rounded to the nearest tenth)

Detailed breakdown:

The data type involved is ungrouped

standard deviation =√ [∑ (x-μ)² / n]

average (μ)=∑x/n

           = \frac{5+5+6+12+13+26+37+49+51+56+56+84}{12}

          =33.3

For the values 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84, the x-μ results will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

Calculating (x-μ)² gives: 800.89, 800.89, 745.29, 453.69, 53.29, 13.69, 246.49, 313.29, 515.29, 515.29, 2570.49

Then, ∑ (x-μ)² results in = 7028.59

Thus, standard deviation = √(7028.59 / 12)

                      =24.2

     

6 0
1 month ago
Witch of the functions below could possibly have created this graph? A.f(x)-x^5+2x^4-3x B.f(x)=-1/3x^4+7x^2+15 C.f(x)=1.9x^8+15x
babunello [11817]
B. f(x)=-1/3x^4+7x^2+15. You can visualize the function using a graphing tool for better understanding.
3 0
1 month ago
Joyce uses 3/10 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make i
PIT_PIT [12445]
The minimum number of batches Joyce can produce is one.
7 0
1 month ago
Value of expression 6 3/4(-11.5)
Inessa [12570]

Answer:

6 * 3/4 = 4.5 = 9/2 = 412

Step-by-step

6 * 3/4 = 6/1  3*4 = 18/4 = 9/2

2 · 2 = 9/2

Both the numerators and denominators are to be multiplied. Retain the resulting fraction with the lowest possible denominator; GCD(18, 4) = 2. In this intermediate calculation, cancelling by the common factor of 2 results in 9

2

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In summary - six times three quarters equals nine halves.

0 0
2 months ago
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