Answer:
Step-by-step explanation:
For the line ax+by=c, solving for y gives ...
y = (-a/b)x +c/b
The slope in this slope-intercept form is the coefficient of x, -a/b. The y-intercept is c/b.
a) For the first line, the slope is ...
-a/b = -(-2)/3 = 2/3
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b) For the second line, the slope is ...
-a/b = -4/1 = -4
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c) The y-intercept of the first line is ...
c/b = 6/3 = 2
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d) The y-intercept of the second line is ...
c/b = 12/1 = 12
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e) The slopes of the lines are different, so there is one (1) solution.
Answer:
Step-by-step explanation:
Patterns, relationships, and functions constitute a unifying theme of mathematics. From the earliest age,
students should be encouraged to investigate the patterns that they find in numbers, shapes, and expressions,
and, by doing so, to make mathematical discoveries. They should have opportunities to analyze, extend, and
create a variety of patterns and to use pattern-based thinking to understand and represent mathematical and
other real-world phenomena. These explorations present unlimited opportunities for problem solving,
making and verifying generalizations, and building mathematical understanding and confidence.
The probability of drawing a purple piece during the first class is 7/25 because 7 pieces of paper are purple out of a total of 25 pieces of paper
Since all pieces of paper are returned, the probability of drawing a blue piece during the second class is 2/25 since there are 2 blue pieces out of a total of 25 pieces of paper
The wording is meant to trick you here. If the purple paper from the morning was not replaced before drawing the probability of drawing a blue piece in the second class would increase.
Always remember to reduce fractions where you can
Step-by-step explanation:
we can solve this question using Pythagorean theorem the hypotenuse of the ladder is 8 metres and base of the ladder is 6 metres so height will be..........
Hypotenuse²=Base²+ Height²
8²=6²+H²
64-36=H²
28=H²
7√2=H² Answer
Answer: a. A point (x, y) becomes the point (y, -x) if it is rotated 270° counterclockwise. The x- and y- coordinates are interchanged and the new y-coordinate is negated. This is the same as a 90° clockwise rotation.
Step-by-step explanation: