Answer:
Step-by-step explanation:
Let n represent the number of nickels in the jar.
The jar contains only pennies, nickels, dimes, and quarters. There are 14 pennies, 28 dimes, and 16 quarters. This means that the total number if pennies, dimes and quarters would be
14 + 28 + 16 = 58
This means that the number of coins that are not nickel is 58
The total number of coins in the jar is 70. Therefore, the equation that can be used to find n is
n + 58 = 70
n = 70 - 58
n = 12 nickels
Answer:
124.2
Step-by-step explanation:
increase 92 by 35% would be to multiply 92 by 135%
92(135%)=92(1.35)=124.2
B) 2
C) 1
D) 0
that line is:
The equation of the line perpendicular to the given line that passes through the point (-4, 6) is y = (2/3)x + 26/3.
Here, we have to find a line that is perpendicular to the given line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.
Perpendicular lines have slopes that are negative reciprocals of each other.
Given points: (-4, 6) and (-2, 3)
The slope of a line passing through two points and is given by:
Let's plug in the values:
The negative reciprocal of a number is the negative value of its reciprocal.
The reciprocal of a number a is 1/a.
So, the negative reciprocal of is:
The perpendicular line has a slope of 2/3.
Now, we have the slope of the line perpendicular to the given line.
To find the equation of this perpendicular line, we also need a point on the line.
We can use one of the given points from the original line.
Let's use the point (-4, 6):
Use the point-slope form of a line to write the equation of the perpendicular line:
Substitute the values:
y - 6 = (2/3)(x - (-4))
y - 6 = (2/3)(x + 4)
Now, if we want to put the equation in slope-intercept form (y = mx + b), we can simplify further:
y - 6 = (2/3)x + 8/3
Add 6 to both sides:
y = (2/3)x + 8/3 + 6
y = (2/3)x + 8/3 + 18/3
y = (2/3)x + 26/3
So, the equation of the line perpendicular to the given line that passes through the point (-4, 6) is y = (2/3)x + 26/3.
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Answer: A line with a slope of 2
Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)
i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.