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Goryan [66]
2 years ago
8

Given the vertices of ∆ABC are A (2,5), B (4,6) and C (3,1), find the vertices following each of the

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0
The triangle ABC is shown in the diagram below

Part a)
R(x-axis) is the reflection of triangle ABC on the x-axis. The new coordinates is given as A' (2, -5), B' (4, -6), and C' (3, -1)

Part b) 
R(y=3) is the reflection of triangle ABC on the line with equation y=3.
The new coordinates are A' (2, 1), B' (4, 0), and C' (3, 5)

Part c)
T(-2, 5) is the translation of triangle ABC two units left and five units up. The new coordinates are A'(0, 10), B' (2, 11), and C'(1, 6)

Part d)
T(3, -6) is the translation of triangle ABC three units right and six units down. The new coordinates are A'(5, -1), B'(7, 0), and C'(6, -5)

Part e)
r(90°, 0) is the rotation of triangle ABC on the origin by 90° clockwise. The new coordinates are A'(5, -2), B'(6, -4) and C'(1 -3)


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7+3x−12x=3x+17+3x−12x=3x+1 solve for X
mariarad [96]
X is equal to -11/6 or -1.8333333333..................................
4 0
3 years ago
Read 2 more answers
How many solutions does the equation 4x+2(x+5) = ( 2x-4) have?
aliina [53]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
A tire travels about 75 inches in one full rotation. What is the Demeter of the tire, to the nearest inch?
Gnoma [55]

Answer:

<h2><u>24 inches</u></h2><h2><u></u></h2>

Step-by-step explanation:

c = πd

75 = 3.14d

Divide both sides by 3.14

23.89 = d

Rounded

24 inches

5 0
2 years ago
Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Ex
polet [3.4K]

Answer:

No, it does not. See below.

Step-by-step explanation:

Lets find out the linear equation that passes trough (-2, 0) and (0, -6).

We know every linear equation has the form: y = mx + b

Where m is the slope on the curve and b the independent term.

We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:

m = (y2-y1)/(x2-x1)

In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:

m = [-6 - 0] / [0 - (-2)]

m = -6/2 = -3

So, we have a downward linear function with slope -3, this is:

y =  -3x + b

Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):

0 = -3(-2) + b

0 = 6 + b

Subtracting 6 in both sides:

-6 = b

So, our independent term is -6 and the function is:

y = -3x - 6

Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:

y = -3(2) - 6 = = -6 - 6 = - 12

So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)

5 0
2 years ago
A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each mea
Margarita [4]

Answer:

D. All of the above

Step-by-step explanation:

By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:

Low Calorie Meal got likes = 6

Moderate Calorie Meal got likes = 7

High Calorie Meal got likes = 17

so,

Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.

Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.

Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.

3 0
2 years ago
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