Any chance with 23-25?

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W

Dafna1 [17]

Answer:

A. segment A double prime B double prime = segment AB over 2

Step-by-step explanation:

Triangle ABC with coordinates of:

A = (-3, 3), B = (1, -3), C = (-3, -3)

Translation (x + 2, y + 0), coordinates will be:

A' = (-1, 3), B = ( 3, -3), C = (-1, -3)

Dilation by a scale factor of 1/2 from the origin, coordinates will be:

A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)

Let's find the length of AB and A''B'' using distance formula

d = √(x2-x1)² + (y2 - y1)²

AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13

We see that

AB = 2A''B''

Now the answer options:

A. segment A double prime B double prime = segment AB over 2

Correct

B. segment AB = segment A double prime B double prime over 2

Incorrect. Should be AB = A''B''*2

C. segment AB over segment A double prime B double prime = one half

Incorrect. Should be AB/A''B'' = 2

D. segment A double prime B double prime over segment AB = 2

Incorrect. Should be A''B''/AB = 1/2

7 0

2 years ago

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You have 2 types of bread, 3 types of meat, and 2 types of cheese. How many different sandwiches can you make if each sandwich h

Tamiku [17]

You would obviously only be able to create two sandwiches with the given information.

6 0

3 years ago

Which expression is equivalent to (2^5)^-2

irinina [24]

1/1024 is the correct answer. First you had to apply exponent rule, and it gave us, $\frac{1}{(2^5)^2}$ , or $2^5^*^2$ . Then you can also refine, and it gave us, $2^10$ , or $\frac{1}{2^10}$ . And it gave us the answer is $2^1^0=2*2*2*2*2*2*2*2*2*2=1024$ , or 1/1024 is the correct answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

4 0

3 years ago

John and Emily are brother and sister. John has as many brothers as sisters, and Emily has twice as many brothers as sisters. Ho

spin [16.1K]

Answer:

4 boys, 3 girls

Step-by-step explanation:

brothers of John ⇒ x

sisters of John ⇒ y

John has as many brothers as sisters:

x = y

brothers of Emily ⇒ x + 1 (Emily have the same amount of brother as John, plus one (John))

sisters of Emily ⇒ y -1 (Emily have the same amount of sister as John, minus one (herself))

Emily has twice as many brothers as sisters:

2 (y-1) = x+ 1

Now we have a system of 2 equations and 2 variables

x=y (I)

2y - 2 = x + 1 (II)

____________

Replace x in equation II

2y - 2 = y + 1

2y - y = 2 + 1

y = 3

____________

Replace y in equation I

x = y = 3

That mean that John have 3 brothers plus himself, there is 4 boys in the family and John have 3 sister, so there is 3 girls in the family

8 0

3 years ago

Solve for a. 7a-2b = 5a+b

Stels [109]

So we have a problem with two unknows and one equation. We have to express one over the other like this: 7a - 2b = 5a + b. First we separate one kind on the left side and the other kind on the right side: 7a - 5a = b + 2b. Then: 2a = 3b. Now we divide both sides by 2 and get: a= 3b/2.

6 0

3 years ago

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