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3 years ago

564 in scientific notation

Mathematics

2 answers:

MAXImum [283]3 years ago

3 0

Answer: 5.64 *10^2

Step-by-step explanation:

34kurt3 years ago

3 0

Answer:

5.64 * 10²

Step-by-step explanation:

The first number in scientific notation has to be a number from 0 to less than 10. Since 564 is bigger then 10, we are going to divide.

564 / 10 = 56.4

56.4 / 10 = 5.64

Since we divided twice to get a number between 0 and 10, that wil be the exponent.

5.64 * 10²

Best of Luck!

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GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

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3 years ago

Please help, i forgot which was which... (positive or negative coefficient)

Vesna [10]

<h3>Answer: Negative</h3>

Reason:

The template $y = ax^2+bx+c$ applies to any quadratic to graph out a parabola. The coefficient for the x^2 term is 'a', and it solely determines whether the parabola opens upward or downward.

If 'a' is negative, then the parabola opens downward. The way to remember this is that 'a' being negative forms a negative frown.

On the other hand if 'a' is positive, then it forms a positive smile, and the parabola opens upward.

In this case, the points are fairly close to a parabola opening downward. This means 'a' is negative and a < 0.

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Question 9: Please help, what would be the length of the image of the segment GH?

shepuryov [24]

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The length of the image of the segment GH would be 5 units.

Explanation:

You can use the center of dilation as your origin of coordintes.

Thus, the point H would have coordinates (0,0) and the point G (-1,0).

A dilation multiplies the coordinates by the scale factor. Hence:

H = (0,0) → H' = 5 × (0,0) = (0,0)

G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)

Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.

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pashok25 [27]

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UNO [17]

Answer:

Step-by-step explanation:

It goes through that one on the graph

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