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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Answer:
<u>GIVEN :-</u>
- ∠A = 15°
- Length of AB (hypotenuse) = 60 ft
<u>TO FIND :-</u>
- Length of BC
- Length of AC
- Area of ΔABC
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
<u>SOLUTION :-</u>
In ΔABC ,

≈ 15.5 ft

≈ 58 ft
Area of ΔABC = 
Answer:
see explanation
Step-by-step explanation:
Using the identity
tan x = 
Consider the left side

=
( multiply numerator and denominator by cos²x to clear fractions
=
← ( cos²x + sin²x = 1 ]
= cos²x - sin²x
= right side , thus proven
Answer:

Step-by-step explanation:
find the slope of the line using the two points (0,-1) and (4,-2)

since we already know that the y-intercept is -1 then you plug the numbers into the slope-intercept form y=mx+b and you get 