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natka813 [3]
2 years ago
7

Luke writes 1/4 of one essay in 20 minutes.

Mathematics
1 answer:
Keith_Richards [23]2 years ago
8 0

Answer:

20 times 4 is 80  so It will take Luke 80  minutes to complete the essay

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a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the
nlexa [21]

Answer:

The standard equation of the parabola is:

y=-\frac{3}{2}x^2+12x-18

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}

Then the equation of the parabola becomes:

y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18

7 0
3 years ago
Round 9.77 to the nearest tenth
djyliett [7]
9.77 to the nearest tenths

first, find the number that is in the tenths place....it is 7....now look at the number directly to the right of it....if that number is 5 or greater, u would round that 7 up to an 8...but if that number is 4 or below, ur 7 would stay the same.
So the number directly to the right of 7 is 7...and since it is greater then 5, u have to round the 7 in the tenths place up to 8.

solution is : 9.8
3 0
3 years ago
Read 2 more answers
Find the solutions to x2 = 24.<br> O A. x = +216<br> O B. x = 16.6<br> O C. x= 46<br> O D. x = +62
babymother [125]

Answer:

x =±2 sqrt(6)

Step-by-step explanation:

x^2 = 24

Take the square root of each side

sqrt(x^2) = sqrt(24)

x = ±sqrt(4*6)

x =±sqrt(4) sqrt(6)

x =±2 sqrt(6)

5 0
3 years ago
Please help me out for a brainlist :)
Nadya [2.5K]

Answer:

1,2,3,2,2

Step-by-step explanation:

because standard form is ax

7 0
3 years ago
Find the value of c that completes the square for x2+12x+c .
maw [93]
The answer is =x2+c+12x
4 0
3 years ago
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