A segment has endpoints at (−9,5) and (34,5). How many units long is the segment?

Triangle ABC has been reflected over the x-axis to create triangle A'B'C'. Which of the following statements is true?

Leto [7]

Answer:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Step-by-step explanation:

7 0

2 years ago

Haruka hiked several kilometers in the morning. She hiked only 666 kilometers in the afternoon, which was 25\%25%25, percent les

katen-ka-za [31]

Answer:

She hiked 1,554 kilometers in all.

Step-by-step explanation:

Let the hiking kilometers for morning be x

Given that:

Hiking kilometers in afternoon = 666

According to given condition that afternoon kilometers are 25% less than morning:

x = 666 + 25% of x

By simplifying:

x = 666 + 0.25x

x - 0.25x = 666

0.75x = 666

Dividing both sides by 0.75 we get:

x = 666/0.75

x = 888 kilometers

She hiked 888 kilometers in morning

And

Total = 888 + 666 =1554 km

i hope it will help you!

3 0

2 years ago

Read 2 more answers

PLSSSSSS HELP ME WITH THISS!!!

ahrayia [7]

The answer is C ! The total would be $59

7 0

2 years ago

Read 2 more answers

You are dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Fin

AlladinOne [14]

Answer:

3/52

Step-by-step explanation:

The picture card are j,q k and there are 4 of each so there are 12 picture cards

P( picture card) = picture card/ total

12/52 = 3/13

Then replace the card

There are 13 clubs

P( club) = club/ total

13/52 = 1/4

P(picture,replace,club) = 3/13*1/4 = 3/52

7 0

3 years ago

Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

or

$x-1 \geq 0\, \text{and}\, x-4\leq 0$

In the first case the solution is the empty set $\emptyset$ . In the second case the solution is the interval $1\leq x \leq 4$ . Now we have that

$A=[1,4]$

$B=(3,5)$

$C=(3,4]$ .

To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

7 0

3 years ago