Answer:
refer to the process
Step-by-step explanation:
We see that
Thus,
The value of the digit 8 in 1.8 is 0.8
While the value of the digit 8 in 486 is 80
Now dividing these values
80/0.8=100
So
The value of the digit 8 in 486 is 100 times larger than that of the digit 8 in 1.8
or
The value of the digit 8 in 1.8 is 100 times smaller compared to the value of digit 8 in 486
On the x-axis, represent the number of cans, while on the y-axis, denote the weight in ounces.
The x-axis (number of cans) should be labeled in increments of 1, ranging from 0 to 4
and the y-axis (weight) in intervals of 10, extending from 0 to 40
The equation would be: y = 10x
The points that lie on this line are: (0,0), (1,10), (2,20), (3,30), (4,40)
The
correct illustration is provided.
Explanation:
Utilizing a tool like Geogebra, commence by creating a line segment. Label the endpoints as C and D.
Next, draw the perpendicular bisector of the segment and denote the intersection with CD as B, then introduce a point A above this line.
Measure the distance from C to B and from B to D. Both distances will be equal.
Measure the length from A to B. If this distance is not equal to that from C to B, adjust A along line AB until the distances match.
With a compass and straightedge:
First, create segment CD and ensure the endpoints are labeled.
Adjust your compass to slightly more than half the distance between C and D. With it set at C, draw an arc above CD.
Using the same compass setting at D, draw another arc to intersect your first arc above CD. Mark the intersection as E.
Connect E to CD with a straightedge and label the intersection as B.
Set your compass to the distance from C to B. Position it on B and mark an arc on EB. Designate this intersection point as A.
Thus, AB will equal both CB and BD.
A rational number refers to any number that can be written as a fraction, such as 2, -3, 2/3, etc.
Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.
Examples include: 31.51, 31.52, 31.568, 31.599
I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20
To address this issue, we will utilize the formula for determining the distance from a point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
We have the line equation:
y = 2 x + 4
Rearranging it results in:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
The coordinates given are:
(-4, 11) = (x, y)
Substituting into the distance formula:
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]
distance = 15 / sqrt (5)
distance ≈ 6.7
<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>
