Step-by-step explanation:
Since SP=TR, the differnce of PR and ST 24-15 divided by 2 is the length of PD (4.5)
Try to understand the rest from the attached picture
Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
Answer:
Man has 9 Nickels and 7 dimes.
Step-by-step explanation:
Let Number of dimes be x
and Number of Nickels be y
As Per given data he has two more nickels than dimes.
As we know that
1
= 100 cent
1 nickel is worth = 5 cents = 
= 0.05
1 dime is worth = 10 cents = 
0 .1
According to given data he has 
total nickel and dimes
So the equation becomes,
but 
Substituting value of x in equation 
we get
Man has 9 Nickels and 7 dimes.
Answer:
A)
Step-by-step explanation:
if you use the foil method on A you get '100k² - m²'
Answer:
a.
Step-by-step explanation:
its the right way
