Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation
Thus, the equation in the point-slope form of the line equation is:
Simplifying the equation
Subtract 3 from both sides
Multiplying the equation by 4
Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Answer:
vRead the passage from “The Beginnings of the Maasai.”
Now Enkai lives at the top of Mount Kenya, and we Maasai still live below, herding cattle down in the plains. It’s not a bad life, especially when Enkai is the Black God, providing for us. And when the cattle or other children cause problems, I just warn them that they never know when I might suddenly develop my godly powers.
The main purpose of the passage is to illustrate the relationship between the Maasai and
Mount Kenya.
the children.
the cattle.
their god.
Step-by-step explanation:
Base 10 has the ten digits: {0, 1, 2, 3, 4, 5, 6,7, 8, 9}
Base 11 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A} where A is treated as a single digit number
Base 12 has the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B}
Base 13 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
Base 14 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D}
The digit D is the largest single digit of that last set. So the largest 3-digit base 14 integer is DDD which is the final answer
Note: It is similar to how 999 is the largest 3-digit base 10 integer
Okay, to solve this we simply find 75% of the carton of paper, because 100%-25% = 75%
0.75(27) = 20.25
The carton of paper costs $20.25
