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3 years ago

1. Are all images, or new figures that result from a translation, always congruent to the

Mathematics

1 answer:

enot [183]3 years ago

5 0

Step-by-step explanation:

lsowoeowowowowwowo2o2o2o2

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Hannah is asked to convert the number 0.00000305 to scientific notation. Her answer is 3.05 × 106. Which statement best describe

Sophie [7]

Answer: if u mean 3.05 x 10^6 then Hannah is correct.

Step-by-step explanation:

With scientific notations you should have one number on the left side of the decimal so 3.05 is correct and since you move the decimal to the right six times you would get 3.05 * 10^6

6 0

3 years ago

Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

3 years ago

What is a composite number between 60 and 100?

lilavasa [31]

What is a composite number between 60 and 100? The answer is 62

8 0

3 years ago

Read 2 more answers

Answer if you know

Arlecino [84]

I've attached a plot of one such cross-section (orange) over the region in the x-y plane (blue), including the bounding curves (red). (I've set $y=1.25$ for this example.)

The length of each cross section (the side lying in the base) has length determined by the horizontal distance $x$ between the y-axis $x=0$ and the curve $y=\sqrt x$ . In terms of $y$ , this distance is $x=y^2$ . The height of each cross section is twice the value of $y$ , so the area of each rectangular cross section should be $2y^3$ .

This means the volume would be given by the integral

$\displaystyle\int_0^22y^3\,\mathrm dy$

8 0

3 years ago

Identify the like terms and terms <br> 1.4c + 11.4 - 2c - 7.3c =

Pavel [41]

Like terms:
1.4c, -2c, -7.3c
11.4 has no like terms

3 0

3 years ago