What is the side length of the square??

Mathematics

1 answer:

Elena-2011 [213]3 years ago

4 0

Answer:

Step-by-step explanation:

1. On the x-axis, count how many boxes are filled from left to right, starting from 0.

2. On the y-axis, count how many boxes filled from bottom to up, starting from 0.

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The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Paladinen [302]

Answer (assuming it is allowed to be in point-slope format):

$y-4 = \frac{2}{3}(x-1)$

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, $y = -\frac{3}{2} x-4$ . That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since $-\frac{3}{2}$ is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be $\frac{2}{3}$ .

2) Now, use the point-slope formula, $y-y_1 = m (x-x_1)$ to write the new equation with the given information. Substitute $m$ , $x_1$ , and $y_1$ for real values.

The $m$ represents the slope, so substitute $\frac{2}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for $x_1$ and 4 for $y_1$ . This gives the following equation and answer:

$y-4 = \frac{2}{3}(x-1)$

3 0

3 years ago

Miranda is conducting a poll to determine how many students would attend a students only school dance if one was held. Which sam

myrzilka [38]

Had to look for the missing options and here is my answer.

Based on the study being conducted by Miranda which was covers students who would attend a students only school dance, the sample that is most likely going to give a representative sample for the poll would be "twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper." Hope this helps.

6 0

3 years ago

Read 2 more answers

The measure of C if a=6 and b=9.

kirill115 [55]

Answer:

$c=3\sqrt{13}$