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Sphinxa [80]
3 years ago
10

What is the axis of symmetry for the parabola created by the equation below?

Mathematics
2 answers:
Alexus [3.1K]3 years ago
5 0

Answer:

x= 1/3

Step-by-step explanation:

navik [9.2K]3 years ago
3 0
Should be x= 1/3
its positive. b term is already negative and the formula for axis of symmetry is -b/2a. so it goes -( -2)/2(3). so 2/6=1/3
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Can someone help me with number 4,5 and 6?
True [87]
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope! 

(-8,5)  (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5         5
---------   = ----- = 1 
-3-(-8)         5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b 

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b  SUBSTITUTE 
10=-3+b     MULTIPLY
10=-3+b
+3   +3    ADD
----------
13=b     SIMPLIFY 

So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13 

y=1x+13 is our final answer.



5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2) 

We have the equation y= 3x-1, so find the reciprocal slope! 
--> y=-1/3x-1 

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
-4=-1/3(9)+b   SUBSTITUTE and revert "-1" to "b", for we are trying to find the y-     -4=-3+b          intercept of our perpendicular equation. 
+3   +3            ADD
--------
-1=b    SIMPLIFY 

So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :( 
4 0
3 years ago
Can anyone explain this to me? I don’t get it
Mama L [17]

Answer:

Sin x = 0.56976744186

Step-by-step explanation:

Sin x = 4.9/8.6

8 0
3 years ago
What's 4.88 rounded to the nearest tenth......
Ugo [173]
The first decimal point is tenth. 4.88
when rounding, we just look at the number right after the number you want to round to. it's 8 right? since 8 is closer to 10 than 0,
we round it to 4.9
                  (4.8 + 0.10)
5 0
3 years ago
Read 2 more answers
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths 3 cm, x cm,
Pani-rosa [81]

Answer:

The value of x is 5 centimeters.

Therefore, option 3 is correct.

Step-by-step explanation:

A triangle has three sides 3,x and 4 cms

Since the triangle is right angle triangle  so, it will follow the Pythagoras theorem:

hypotenuse^2=side^2+side^2    (1)

We have been given three sides x,3 and 4

On substituting the values in (1) we get:

x^2=3^2+4^2

x^2=9+25

\Rightarrow x=5

Hence, the value of x is 5 centimeters.

Therefore, option 3 is correct.

Please look at the attachment for the figure.

3 0
3 years ago
Read 2 more answers
Find the distance between the points (4, 2) and (-8, 7).
soldi70 [24.7K]
The answer will be A



Step by Step Calculation

Length = √((x2 - x1)2 + (y2 - y1)2)

= √((-8-(4))2 + (7-(2))2)

= √(144+25)

= √(169)
= 13
3 0
3 years ago
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