are y=2/3x-3 y=-3/2x+2 perpendicular? I know they intersect but i need to know if they’re perpendicular to each other. Please he
lp ASAP!!
2 answers:
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Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6
- y= (-1+
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Answer:
A = 189 sq units
Step-by-step explanation:
You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:
rectangle: 16 × 8
sm rectangle: 3 × 4
Some sides you have to add to find (the height of the whole entire thing: 16+4+4)
Some lengths you have to subtract to find (height of the triangle: 24 - 10).
Area of a rectangle:
length × width OR
base × height
Area of a triangle:
1/2 • b • h
Add up all three areas. See image.
