Answer:
all i see is ..........
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;
Thus;
In the form of slope-intercept, the equation will be;
Thus, the equation of the line is;
Let the three consecutive integers be x, x+1 and x+2.
According to the question, x+x+1+x+2=51
=>3x+3=51
=>3x+3-3=51-3
=>3x=48
=>x=16
Hence, first integer = 16,
second integer = 16 + 1 = 17 and
third integer = 16 + 2 = 18.
Using it's concept, your percentage for the month was of 94.12%.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
P = a/b x 100%
In this problem, your goal was of 85, with a grade of 80, hence the percentage is:
P = 80/85 x 100% = 94.12%.
Hence, your percentage for the month was of 94.12%.
More can be learned about percentages at brainly.com/question/10491646
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25. <u>Step-by-step explanation:</u>
To find the foci, first we must find the length of the foci using the formula:
Then add the c-value to the h (or k)-value that represents the major.
b² - a² = c²
25 - 16 = c²
9 = c²
±3 = c
The center is (0, 0) and the major is the y-value so the foci is:
(0, 0+3) and (0, 0-3) ⇒ (0, 3) and (0, -3)
26. Answers
Follow the same steps as #25:
Center: (0, 0)
Vertices (7, 0) and (-7, 0)
Co-vertices: (0, 3) and (0, -3)
foci: (2√10, 0) and (-2√10, 0)
length of major: 14
length of minor: 6