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ArbitrLikvidat [17]
2 years ago
12

Benjamin walks 11/15 miles to work and then 3/10 miles to the grocery store how far does he walk

Mathematics
1 answer:
melamori03 [73]2 years ago
4 0

Answer:31/30

Step-by-step explanation:

11/15+3/10

find common denominator=30

11/15 times 2/2

22/30

3/10 times 3/3

9/30

22/30+9/30=31/30

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : R_{90} (x,y)=(-y,x)

5. Rotation of 180° : R_{180} (x,y)=(-x,-y).

6. Rotation of 270° : R_{180} (x,y)=(y,-x).

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is R_{90} (x,y)=(-y,x).

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is R_{180} (x,y)=(-x,-y).

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is R_{180} (x,y)=(y,-x).

5 0
3 years ago
If you know two corresponding sides of two triangles and you know that the corresponding angles are equal, how can you find out
____ [38]
Answer - C. The ratio of the corresponding sides will be equal

Two triangles<span> can be shown to be </span>similar<span> if it can be proven that they have two sets of corresponding sides in equal proportion and that the corresponding angles, which they include are congruent.</span>
6 0
3 years ago
Please helpp, thank youuu.
Mariulka [41]

Answer:

16ft

Step-by-step explanation:

use pythagreom thereom

12^2+b^2=20^2 solve

144+b^2=400

b^2= 256 square it

b= 16

4 0
2 years ago
Read 2 more answers
Plsssss
bixtya [17]
3/9 = x/36
Now cross multiply
108 = 9x
X = 12
3 0
2 years ago
Read 2 more answers
michael and his brother allen played basketball basketball each basket was worth 5 points michale scored 35 points allen scored
Arada [10]
11 baskets. 35+20=55. 55/5= 11
4 0
2 years ago
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