Y = 4x + 3
2 answers:
Answer:
Perpendicular.
D is the correct option.
Step-by-step explanation:
The given equations are
The slope intercept form of a line is given by
Here, m is the slope and b is the y intercept.
Comparing given equation with slope intercept form of the line
Slope of first line = 4
Slope of second line = -1/4
These two slopes are not equal hence, lines are not parallel.
We can see that -1/4 is the negative reciprocal of 4. Since.
We know that the slopes of perpendicular lines are negative reciprocal of each other.
Hence, the lines are perpendicular.
D is the correct option.
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Answer:
The area of the shaded region is about 58.9 square inches.
Step-by-step explanation:
To solve this question, let's recall some facts.
We know that the area of a circle can be defined as the following:
where r is the radius of the circle.
We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.
We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.
Now, we can solve the problem.
Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:
After approximation, I can conclude that the area of the shaded region is 58.9 square inches.
The area of the triangle can be calculated using the distance formula if the coordinates are given.
<h3>What is the triangle?</h3>The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle with coordinates on the coordinate plane.
It is required to find the area of the triangle using the coordinate points.
Here the coordinates are not given, so we are assuming the coordinates are (x1, y1), (x2, y2), (0,0)
From the distance formula:
The distance(b) between (0, 0) and (x1, y1):
The distance between (0, 0) and (x2, y2):
So the area of the triangle:
A = bh/2
Thus, the area of the triangle can be calculated using the distance formula if the coordinates are given.
Learn more about the triangle here:
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