Which figure is a translation of figure 1?

Mathematics

1 answer:

snow_tiger [21]3 years ago

7 0

Answer:

triangle 4.

Step-by-step explanation:

A translation only moves vertically or (and) horizontally our image.

This means that a translation does not change the size

A translation does not rotate the image.

Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).

Then the only option that seems correct is triangle 4

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Y=1/2x +5<br> Y=-3/2x-7<br> Find x and y

gayaneshka [121]

I'm going to use the substitution method.

If y = - 3/2 - 7, then:

1/2x + 5 = - 3/2x - 7

Combine like terms:

4/2x = - 12. Mutiply both sides by 2/4 to get x = -12 (2/4)

Simplify to get:

x = - 6.

Plug - 6 back in for x in either equation.

Y = 1/2( - 6) + 5 which becomes Y = - 3 + 5.

X = - 6, Y = 2

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3 years ago

A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle

Setler [38]

Answer:

3x - 13

Step-by-step explanation:

The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.

(x-6) + (x+2) + (x-9)

Group:

x + x + x - 6 + 2 - 9

3x - 13

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3 years ago

A certain organization recommends the use of passwords with the following format: vowel commavowel, consonant comma consonant c

zimovet [89]

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices are available and for 7th and 8th position there are 10 choices (0 to 9).

Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

$5\times21\times21\times21\times5\times21\times10\times10$