1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
2 years ago
7

Across what line of reflection was the angle reflected in the coordinate plane below?

Mathematics
2 answers:
Vladimir [108]2 years ago
6 0
It was reflected across the y axis
aev [14]2 years ago
6 0

Answer:

Let us revise the reflection

If point (x , y) reflected across the x-axis, then its image is (x , -y)

If point (x , y) reflected across the y-axis, then its image is (-x , y)

If point (x , y) reflected across the line y = x, then its image is (y , x)

If point (x , y) reflected across the line y = -x, then its image is (-y , -x)

∵ Point A (-5 , 8) is reflected across the line y = x

∵ If point (x , y) reflected across the line y = x , then its image is (y , x)

∵ x = -5 and y = 8

- Switch x and y

∴ The image of point A is A' = (8 , -5)

You might be interested in
a stock that was selling for $48 a share split 2-for-1. Before the split, the company had 3.4 million shares of stock outstandin
nalin [4]

Answer:

666

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Police use a radar unit is used to measure speeds of cars on a freeway. The speeds are normally distributed with a mean of 90 km
vagabundo [1.1K]

Answer:

A. P(x≥100)=0.1587

B. P(x≤0)≈0

Step-by-step explanation:

A. Cause we know the distribution of the data, the method used to solve it is called "Normalization" and we need to have the Mean and the Standard deviation of the data. The method consist in the following equation

P(x≤a)=P( z=((x-μ)/σ) ≤ b=((a-μ)/σ) )

Considering <u>μ as the Mean</u> and <u>σ as the Standard deviation</u>. At first, we had a probability in the normal distribution with Mean=90 and STD=10 but <u>that kind of exercises is not meant to find that probability directly but by using this process</u>.

After we normalize the probability, now <u>we have a probability in a specific normal distribution that has Mean=0 and STD=1 and the difference with what we had before is that now we are able to use tools to find probabilities in a normal standard distribution</u>. My favorite of them is a chart that show the approximate values of a lot of probabilities (i attached it to this answer). I´m going to explain point A as an example:

We look for the probability that P(x≥100), but we don´t have an easy method to use there, so we normalize:

P(x≥100)=P( (x-μ)/σ ≥ (100-μ)/σ )

P(x≥100)=P( z ≥ (100-90)/10 )

P(x≥100)=P( z ≥ 1 )

And now we are able to use the chart, let me explain: First, the chart only works with P(z ≤ b), so we have to change it with properties of probabilities before using the table.

P(z≥1)=1-P(z≤1)

And finally we use the chart:

<u>the value of P(z≤1) is in the table, we look for the row with +1 and the column with the decimal part (in this case 0) and with coordinates (1,0) there´s the value</u>:

P(z≤1)=0.8413

But we need P(z≥1) so we use the previous equality

P(z≥1)=1-P(z≤1)

P(z≥1)=1-0.8413

P(z≥1)=0.1587

Because P(x≥100)=P(z≥1), our final answer is 0.1587

B. We use the same process to try to understand what the probability of P(x≤0) represents.

P(x≤0)=P(z≤ (0-90)/10)

P(x≤0)=P( z ≤ -9 )

But when we try to look for its value in the chart It isn´t even there, what could it mean?

<u>A normal distribution function is always increasing</u>, that means that "a≤b if and only if P(x≤a) ≤ P(x≤b)". so we conclude:

P(z≤-9) ≤ P(z≤-3) (The lowest probability in the chart)

P(z≤-9) ≤ 0.0013

P(z≤-9) is way lower than 0.0013 (they aren´t even close) but we know that probability is always positive,  and because of that:

P(x≤0)=P(z≤-9)≈0

5 0
3 years ago
What number must you add to complete the square? x^2+6x=15
Andreyy89
To complete the square you must split the b term in half, then square that answer.

6 is the b term, half of 6 is 3, 3 squared is 9. You will add 9 to both sides of x^2 + 6x = 15

x^2 + 6x + 9 =  24
5 0
3 years ago
Read 2 more answers
URGENT!
Alina [70]
4.125 x 14 = 57.75 So 57.75 is the answer and I have to show my work
4 0
3 years ago
What’s the answer to this
stepan [7]

Answer:X=2, and -36

Step-by-step explanation:

Ehh

5 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with number 5
    13·2 answers
  • What is the answer to -6 2/3 - -8 1/5
    11·2 answers
  • Simplify equation x-7=12​
    10·2 answers
  • Solve the inequality 3x&gt;12 please help me !
    14·2 answers
  • What is the answer to this?!!!
    10·1 answer
  • 1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
    7·1 answer
  • ∠DGC and ∠CGB are □ angles.Adjacent<br> Adjacent<br> Complementary<br> Supplementary<br> Vertical
    8·2 answers
  • Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
    7·1 answer
  • Chad has 1.4 gallons of milk. There are about 3.79 liters in 1 gallon. How many liters of milk does Chad have?
    14·1 answer
  • Can someone help me with number 4?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!