Answer:
Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form
Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:
The given line has a slope m1=5, thus the slope of our required line is:
The equation of the line now can be expressed as:
We need to find the value of b, which can be done by using the point (7,2):
Operating:
Multiplying by 5:
Operating:
Solving for b:
The equation of the line is:
Answer:
Width of the pool = 15 yards
Step-by-step explanation:
Given that:
Length of diagonal of swimming pool = 29 yards
Length of the pool = 25 yards
Let,
w be the width.
This will form a right angled triangle where the diagonal will be hypotenuse.
Using Pythagorean theorem;
Taking square root on both sides
Rounding off to nearest whole number
w = 15 yards
Hence,
Width of the pool = 15 yards
Answer:
-3 < x
Step-by-step explanation:
15 > -5x
Divide each side by -5, remembering to flip the inequality since we are dividing by a negative
15/-5 < -5x/-5
-3 < x
A 1800 is the answer to this question
No it is not greater than 5
When ever you are multiply a number by 1/2 you are halving the number. So in the us case 3 x 1/2 is 1.5.
And 1.5 is not greater than 5
So the answer is no
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