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dusya [7]
2 years ago
9

Which transformation will map figure L onto figure L'?

Mathematics
2 answers:
adell [148]2 years ago
8 0
Horizontal translation of six units
stealth61 [152]2 years ago
3 0

Answer:

Option b is right answer.

Horizontal translation of 6 units

Step-by-step explanation:

Given that L and L' are congruent triangles.

. Figure L has vertices at negative 4, 2, negative 2, 4, and negative 3, 7. Figure L prime has vertices at 2, 2, 4, 4, and 3, 7

On comparison of corresponding vertices we find that y coordinate remains the same for all vertices.

But x coordinate -4 became 2, -2 became 4, and -3 became 3.

This means original x coordinate is increased by 6 units to get L'

i.e. there is a horizontal translation of 6 units.

This will only make (-4,2) to (2,2),  (-2,4) to (4,4) and (-3,7) to (3,7)

Option b is right answer.

Horizontal translation of 6 units

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A store had 112 diet sodas. The ratio of diet sodas to regular sodas was 8:4. How many regular sodas were there?
IceJOKER [234]

Answer:

56

Step-by-step explanation:

There are two ways the answer to this question can be determined

<u><em>Method 1 : the fast method </em></u>

We know that 8 is twice 4

4 x 2 = 8

The ratio of diet soda = 8

the ratio of regular sodas = 4

Diet sodas = 112

the number of regular sodas = 112 / 2 = 56

<u><em>Method 2 : The long method </em></u>

I would first determine the total number of diet and regular sodas. Let the total number be represented by d

from the question, the following equation can be derived :

(8/12) x d = 112

divide both sides of the equation by 12/8 to determine the value of d

d = 112 x (12/8) = 168

We can now derive a value for the number of regular soda

regular sodas = ( ratio of regular sodas / total soda) x total number of sodas

(4/12) x 168 = 56

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3 years ago
What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
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Answer:

Slope = -3/2

Step-by-step explanation:

Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}

Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\

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Answer:

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