1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:
Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point
So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
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We have this equation:
First, combine both logarithms using the multiplication property and simplify the expression.
Now, use the definition of logarithm to transform the equation.
Finally, use the quadratic formula to solve the equation.
With this, we can say that the solution set is:
We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.
Answer:
many solutions
Step-by-step explanation:
You have to attribute values to x, and then you find the y value.
The x value you attributed and the y value you got as a result will be an ordered pair of the linear equation
For example:
x = 4
y = 3*4-7
y = 5
(4 | 5) is an ordered pair.
x = 3
y = 3*5-7
y = 8
(3 | 8) is another one.
Link the 2 points and you will find a line
Answer:
<h2>351. 86 yd² </h2>
Step-by-step explanation:
As = 2πrh + 2πr²
where r = 4, h = 10
plugin values into the equation:
As = 2π (4) 10 + 2 π (4)²
As = 251.33 + 100.53
As = 351. 86 yd²
An empty answer is an answer that would be empty while also being an answer at the same time.