Determine the axis of
symmetry for y=x²+2

Answers

Answer 1
Answer:

Answer:

x=0

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b/2a

in our case

y=x^2+2

a=1 b=0 c=2

so x=-b/2a=-0/2*1=0

x=0 is axis of symmetry


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The total area of the parallelogram and the triangle is 160 square meters find the value x

Answers

The value of x for the given triangle side in the parallelogram will be 4.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

The area of a parallelogram is given as,

(1/2)(sum of parallel sides)(distance between parallel lines)

Area of parallelogram = (1/2)(14 + 14)(10) = 140 square meter.

The area of the right angle triangle = (1/2)base x height.

Area of triangle = (1/2)x × 10 = 5x

Total area = 140 + 5x

160 = 140 + 5x

5x = 20

x = 4

Hence "The value of x for the given triangle side in the parallelogram will be 4".

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The given question is missing a parallelogram as attached below,

Answer:

80x2

Step-by-step explanation:

.

What’s 1/2 + 8/12 need it in a reduced fraction

Answers

Answer:

I believe it is 1 and 1/6. Dont quote me on it tho. lol

Step-by-step explanation:

Answer:

I think that you should collect the both fracrions

Step-by-step explanation:

The smallest common multiple of 2 and 12 is 12

so:

1*6/2*6+ 8/12= 6/8 + 8/12= 14/12

lola just received a promotion at work now earns $18 per hour. she writes the equation y=18x to represent her total earnings ,y, when she works x hour

Answers

Answer:

its A just took tha test

Step-by-step explanation:

Final answer:

The question is about representing Lola's total earnings when she works a certain number of hours. It can be answered using the equation y=18x, where y represents her total earnings and x represents the number of hours she works.

Explanation:

The question is about representing Lola's total earnings when she works a certain number of hours. She wrote the equation y=18x, where y represents her total earnings and x represents the number of hours she works.

This equation is similar to the example given about Svetlana's tutoring earnings, which is represented by the equation y=25+15x, where y is the total amount of money Svetlana earns and x is the number of hours she tutors.

Therefore, the subject of this question is Mathematics and it is appropriate for High School level.

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Outliers existing in a data set will have the greatest impact on __________. A. the mean B. the median C. the mode D. the middle

Answers

Mean, the further the outlier the greater the mean (average)

D(n)=8−6(n−1) What’s the 6th term

Answers

D(n)=8−6(n−1).    The 6th term is found by subbing 6 for n in this formula:

D(6)=8−6(6−1) = 8 - 6(5) = 8 - 30 = -22 (answer)

The population of bacteria M after X minutes is represented by the function M(x)=51(1.03)^x.whqt is the approximate difference between the populations after 3 minutes

Answers

The difference between the populations after 3 minutes  is 5.

Population of bacteria

According to the question, the population of bacteria is modeled by the function; M(x)=51(1.03)^x. We have to recall that x refers to the time taken to have an M number of bacteria.

Initially, x = 0 so;

M(x)=51(1.03)^0 = 51

After 3 minutes, we have;

M(x)=51(1.03)^3 = 56

Difference between the populations after 3 minutes = 56 - 51 = 5

Hence, the difference between the populations after 3 minutes  is 5.

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