Point slope form
y-y1=m(x-x1)
m=slope
(x1,y1) is a point
(4,-6)
x1=4
y1=-6
m=1
y+6=1(x-4)
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and
where and = coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = and -1 =
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
Answer:
d. 0.75 (assuming that choice c. is 3/5)
Step-by-step explanation:
Is C. 3/5? I'm assuming it is.
Write all numbers as decimals to make it easier to compare them.
a. 0.65 = 0.65
b. 33% = 0.33
c. 3/5 = 0.6
d. 0.75 = 0.75
Now that all numbers are written as decimals, we see that the greatest of them is 0.75
Answer: d. 0.75 (assuming that choice c. is 3/5)
Answer:
(a) = 71 cm
(b) = 89 cm
Step-by-step explanation:
(a.)
perimeter of a rectangular field = 324 m
length (l) = 91 m
width (w) = ?
Now,
<em>Perimeter Of Rectangle </em>
<u>= <em>P = 2(l + w)</em></u>
= 2(91 + w) = 324m
= 182 + 2w = 324m
= 2w = 324 - 182m
= 2w = 142m
= w = 142/2
= w = 71
(b.)
area of rectangular painting = 5696 cm²
width (w) = 64 cm
length (l) = ?
Now,
<em>Area Of Rectangle </em>
A = <em><u>l × </u></em><em><u>w</u></em>
= l × 64 = 5696
= l = 5696/64
= l = 89 cm
<h2>
<em><u>VERIFICATION</u></em><em><u>:</u></em><em><u>-</u></em></h2>
FOR (a)
= P = 2(l + w)
<em><u>= P = 2(91 + 71) = 324 cm</u></em>
FOR (b)
= l × w
A = 89 × 64 = 5696
So multiply both sides by 24 (Least Common Multiply of 12, 8, 6)
2x - 24 = 3x + 4 - 4x
2x = 28 - x
3x = 28
x = 9.33