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Rudiy27
3 years ago
14

Which of the following represents the line of symmetry of the parabola represented by the equation x2 - 10x + 21 = 0?

Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0

Let us first define line of symmetry of parabola :

It is the line of symmetry of a parabola that divides a parabola into two equal halves that are reflections of each other about the line of symmetry. It intersects a parabola at its vertex. It is a vertical line with the equation of x = -b/2a.

So using the formula x=-b/2a, we can find the line of symmetry of parabola here.

We are given the equation:

x^{2} -10x+21 =0

If we compare it with the quadratic equation :

ax^{2} +bx+c=0

we get a=1, b=-10 and c=21

Now plugging the values of a and b in the formula x=-b/2a,

x= \frac{-b}{2a}

x= \frac{-(-10)}{2(1)}

x=5

So the line of symmetry of given parabola is given by x=5

Option D is correct answer.


bekas [8.4K]3 years ago
4 0
The correct answer is 5
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Geometry math question no Guessing
bearhunter [10]
We can first look into the properties of parallelogram,you can also take reference from the figure above:

-Opposite sides are parallel and are congruent.
-Opposite angles are congruent.
-The diagonals bisect each other.

We can then look into the answer:

A.Opposite angles are congurent.
-This is an correct statement.

B.Diagonals are congruent.
-This is incorrect,although they bisect each other,they do not have the same length.

C.The diagonals are peroendicular to each other.
-This is incorrect as well,not every parallelogram has the angle of 90° in the place where the diagonals bisect each others.

D.The area is equal to the product of two adjacent side-this is not true,to find the area,it have to be base×height.

Therefore the answer is A.

Hope it helps!

7 0
3 years ago
In a randomly generated list of numbers from 0 to 8 what is the chance thag each number will occur?
Vitek1552 [10]

Answer:

1/9

Step-by-step explanation:

That's bc there are 9 possible outcomes 0,1,2,3,4,5,6,7,8,

so say an out come is 4, out of 9 chances it was 4 so there is a 1/9 of getting 4

6 0
3 years ago
Can you help me please ​
Olenka [21]

Answer:

log_372 = 3.8928

Step-by-step explanation:

Given

log_38 = 1.8928

Required

Evaluate log_372

We have:

log_372 = log_3(8 *9)

Apply law of logarithm

log_372 = log_38 +log_39

Express 9 as 3^2

log_372 = log_38 +log_33^2

Evaluate the exponents

log_372 = log_38 +2log_33

log_33 = 1.

So:

log_372 = log_38 + 2 * 1

log_372 = log_38 + 2

Substitute log_38 = 1.8928

log_372 = 1.8928 + 2

log_372 = 3.8928

5 0
2 years ago
Li transformed rectangle ABCD. The image is shown. Does Li’s transformation represent a translation? Yes, the image represents a
iris [78.8K]

Answer:

C. No, the image does not have the same orientation.

Step-by-step explanation:

Just took the quiz.

6 0
3 years ago
Read 2 more answers
A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p
____ [38]

Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

Step-by-step explanation:

<u>step 1:-</u>

Given sample  size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

 Population proportion of employed individuals who work at home at least once per week  P = \frac{x}{n} =\frac{41}{200} =0.205

Q=1-P= 1-0.205 = 0.705

<u>step 2:-</u>

Now  \sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }

=0.0015

<u>step 3:-</u>

<u>Confidence intervals</u>

<u>using formula</u>

(P  -  Z_∝} \sqrt{\frac{P Q}{n},} (P  +  Z_∝} \sqrt{\frac{P Q}{n},

(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887

=0.20113,0.20887[/tex]

<u>conclusion:</u>-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

4 0
3 years ago
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