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4 years ago

What is the equation for the line of symmetry in this figure?

Mathematics

2 answers:

Mandarinka [93]4 years ago

8 0

Answer:

The line of symmetry is along the x-axis but it's moved 3 units up.

Explanation:

middle of figure is three units from the x-axis
equation is x+3=line of symmetry

wolverine [178]4 years ago

3 0

Answer:

y=3

Step-by-step explanation:

The line of symmetry is the line along which the figure could be rotated and nothing would change (the orig. figure and the reflected figure would overlap completely). You see the midpoint of the left side of the figure is (-2,3) while the midpoint of the right side of the figure is (1,3). This would make the line passing through these two y = 3

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A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection

Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : $p=0.35$

Sample size : n= 500

Sample proportion : $\hat{p}=\dfrac{156}{500}=0.312$

Test statistic for population proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78$

Hence, the test statistic for this hypothesis test for a proportion= -1.78

3 0

4 years ago

URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!

rodikova [14]

Answer:

x = 18 and y = 6√10

Step-by-step explanation:

First using pythagoras theorem on the small triangle

h² = 6² + 2²

h² = 36 + 4

h² = 40

h= √40

h = √4 * 10

h = 2√10

Using the similarity theorem;

y/2√10 = 6/2

y/√10 = 6

y = 6√10

To get x we will use the pythagoras theorem

y² = x²+6²

(6√10)² = x² + 36

360 = x² + 36

x² = 360 - 36

x² = 324

x = 18

Hence x = 18 and y = 6√10

5 0

3 years ago

You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straig

Anton [14]

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

19 miles

l_______________

6 milesl

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

$\sqrt{397}$ = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

5 0

3 years ago

What is -3-(-3) negative three minus -3

Vesna [10]

The answer would be 0

Reminder: when you see “-(-“ always think of plus sign “+.” (My teacher in middle school taught me that). So, -3+3 would be that the answer is 0.

4 0

3 years ago

Find the principal square root of 14.

Anika [276]

Sqrt14 = 3.74 (2dp)

The principal root is always the positive.

5 0

3 years ago