Expression 10 months of service

1 Which sequence of transformations takes AA to its image, AB ?

lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is the option B.

(B) Reflection across y-axis and a translation 2 units down

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

From a similar question, we have, ;

The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)

The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)

The options are;

(A) Reflection over the x-axis and 2 units translation down

(B) Reflection over the y-axis and 2 units translation down

(C) 90° rotation after a translation of 2 units down

(D) 90° rotation after a translation of 12units right

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

Learn more here;

brainly.com/question/23461633

7 0

3 years ago

Area of a triangle with verticals of (-4,1),(-7,5),(0,1)

Lynna [10]

Answer:

$8 ft^2$

Step-by-step explanation:

I assume that the three points given are the vertices of the triangle. So the three points are:

A (-4,1)

B (-7,5)

C (0,1)

The area of a triangle is given by:

$A=\frac{1}{2}bh$

where b is the base and h is the height.

Here we can take as follows:

- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

$AC=\sqrt{(0-(-4))^2+(1-1)^2}=4$

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

$h=(5-1)=4 ft$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(4)(4)=8 ft^2$

7 0

3 years ago

marcus buys 10 containes of yogurt. Each container of yogurt is 2/3 cup. how many cups of yogurt does marcus buy

Ymorist [56]

6 2/3 cups

hope it helps!

6 0

3 years ago

Read 2 more answers

If f(n) = -6n + 2, find f (5/6)

joja [24]

$f( \frac{5}{6} ) = - 6( \frac{5}{6} ) + 2 \\ f( \frac{5}{6} ) = - \frac{30}{6} + 2 \\ f( \frac{5}{6} ) = - 5 + 2 \\ f( \frac{5}{6} ) = - 3$

7 0

3 years ago

Read 2 more answers

Omgggggggg PLZ HELP MEH I REALLY NEED HELP :'( IM FAILING MATH AND THIS WILL REALLY HELP ALL BELOW IM BEGGING YOU

faltersainse [42]

Answer:

1. -2w-1 cuz when in parethese it all become negative. 2. factors of 32 is 1,2,4,8,16,32. and factors of 24 is 1,2,3,4,6,8,12,24. and the way you should write 32k+24 is 4(8k+6)

Step-by-step explanation:

7 0

3 years ago