u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ u = 10.4
Hence, u = 10.4 and v = 12.
slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)
Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5
therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58
answer: y=5x-58
Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3
Therefore:
y-0=1/3(x-0)
y=x/3
answer: y=x/3
Answer:
B) 421
Step-by-step explanation:
√2 + √-18
√2 + √9·-2
√2 + 3√-2
(3 +1 )(√2 ·√-2) = 2i
4 · 2i
1- The interest rate is 7.5/year so 7.5/.75 year(9 months) at 500$ which would produce a profit of 28.13$ so a total of 528.13
2-7.5/year for 1.5 years(18 months) at 500$ so total interest is 56.25$ so the total is 566.25$
Answer:
169
Step-by-step explanation:
Square root means what number times its self is a different number. In this case, 13 times 13 = 169 so 13 times itself is 169.
