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2 years ago

What is the equation of the parabola ?

Mathematics

1 answer:

Nadya [2.5K]2 years ago

3 0

Answer:

D. y = 1/12x² + 2

Step-by-step explanation:

As per graph we observe:

The y-intercept is 2
The coefficient is positive as the graph opens up

According to the observations, the equation is:

y = 1/12x² + 2

Correct choice is D

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3 years ago

the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers

anygoal [31]

Answer:

The three consecutive even integers are 4,6,8

Step-by-step explanation:

Let the three consecutive even integers be 2x, 2x+2, 2x + 4

Middle number = 2x +2

2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6

6x + 6 = 4*2x + 4*2 - 6

6x + 6 = 8x + 8 -6

6x + 6 = 8x + 2

6x - 8x = 2 -6

-2x = -4

x = -4/-2

x = 2

The three consecutive even integers are

2x = 2*2 = 4

2x+2 = 2*2 +2 =4 + 2 = 6

2x + 4 = 2*2+4 = 4+4 = 8

8 0

2 years ago

Triangle ABC contains side lengths b=3 inches and c= 5 inches in two or more sentences describe whether or not it is possible fo

Scrat [10]

Answer:

Since sine of all angles are always less than one, this shows there is no possible way to have an angle C. Thus it is impossible to have a triangle ABC with the given properties of side lengths b=3 inches and c= 5 inches to have angle B =45 degrees.

Step-by-step explanation:

In the attached drawing, each of the tic-marks are equal and

represent 1 inch each. The angle B has measure 45. We can

see by the arc that the line AC, which equals 3 inches, is

not long enough to reach the slanted side of the 45 angle.

Therefore triangle ABC is not possible. We can also show

by the law of sines that no triangle ABC with the given

properties in possible.

5 0

3 years ago

Which graph represents the solution set to this system of equations? y = –1 2 x + 3 and y = 1 2 x - 1 On a coordinate plane, a l

vivado [14]

Answer:

On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).

Step-by-step explanation:

Given that the system of equations are:

y = –1 /2 x + 3 and y = 1 /2 x - 1

Let us first try the first option

On a coordinate plane, a line goes through (- 4, 1) and (0, 3) and another line goes through (-2, - 2) and (0,- 1)

The slope M1 = (3-1)/(0--4) = 2/4 = 1/2

The calculated slope is positive. But the slope of the first equation is negative. So we ignore the first option.

The next option that makes sense is the last option. That is

On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, -1) and (2, 0). So let also try it by calculating the two slopes

M1 = (2-3)/(2-0) = -1/2 ( perfect)

M2 = (0- -1)/(2-0) = 1/2 (perfect)

Because, from the two equations

y = –1 /2 x + 3 and y = 1 /2 x - 1

The slope of the first is negative and the slope of the second is positive. Also, they have a corresponding intercept which are positive 3 and negative 1

4 0

3 years ago

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