Answer:
(d) x = -3/4; y = -3 1/2
Step-by-step explanation:
You are asked for the coordinates of the point of intersection of the lines on the graph. This requires interpolation, because not all grid lines are marked, and the point is not on any grid line.
<h3>Interpolation</h3>
The idea of "interpolation" is figuring the value of a point that lies between points whose values are known. The answer choices here suggest that we are to interpolate to the nearest 1/4 unit. This requires that you mentally (or actually) divide the space between grid lines into 4 equal sections, and figure where the point lies relative to those divisions.
In the case of the x-coordinate, the first grid line left of the y-axis is not marked, but we notice it lies halfway between x=0 and x=-2. That means we can safely assume that the unmarked vertical grid line has a value of x=-1.
<h3>Application</h3>
<u>horizontal coordinate</u>
The location of the point of intersection of the two lines is horizontally closer to the -1 (unmarked) grid line than it is to the y-axis. Its x-value will be between -1 and 0. The answer choices tell us it is -3/4, consistent with it being about 3/4 of the distance toward -1 from 0.
x = -3/4
<u>vertical coordinate</u>
The location of the point of intersection of the two lines is vertically about halfway between -3 and -4. The answer choices tell us it is -3 1/2.
y = -3 1/2
9514 1404 393
Answer:
area = x(3x +10)
Step-by-step explanation:
The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.
horizontal unmarked = (2x+15) -x = x +15
vertical unmarked = (2x -5) -(x -5) = x
The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.
The whole area is ...
x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)
A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.
<h3>How to calculate the slope of a line?</h3>
Mathematically, the slope of a line is given by the following formula;
For line RP, we have:
Slope RP = 7.
For line SQ, we have:
Slope SQ = negative one-sevenths.
For the midpoint, we have:
In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.
Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.
In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.
Read more on squares here: brainly.com/question/2882032
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:) Brainliest pls?
Answer:
D.
Width = 11 yards
Length = 15 yards
Step-by-step explanation:
P = 2(l + w)
Consider the width to be x.
The length would then be x+4.
We know that P = 52 yd
52 = 2(x + x + 4)
52 = 2(2x + 4)
52 = 4x + 8 (Subtract 8 from both sides)
44 = 4x (Divide both sides by 4)
x = 11
The width is x, so the width is 11 yards.
The length is x+4, so the length is 15 yards.
