Answer:
The given side lengths could be the side lengths of a triangle
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 
sides of a triangle must be greater than the measure of the third side
so
case A)
-----> is true
case B)
-----> is true
therefore
The given side lengths could be the side lengths of a triangle
Have a cat: 17
Don't have a cat: 15
Have a dog: 21
Don't have a dog: 11
For the "have a..." you include the center, but for the "don't have a..." you only count the other side without the center.
Answer:
y+5x=31
Step-by-step explanation:
m=-5( coefficient of x wen y is subject)
y-y1=m(x-x1)
y+9=-5(x-8)
y+9=-5x+40
y+5x=40-9
y+5x=31
Answer:
120 cm²
Step-by-step explanation:
Applying,
A = Ph................... Equation 1
Where A = Literal Area of the triangular prism, P = Perimeter of the base, h = height.
But,
P = a+b+c............... Equation 2
Where a, b, c represent the three sides of the triangular base
Therefore,
A = h(a+b+c)............... Equation 3
From the question,
Given: h = 8 cm, a = 4 cm, b = 5 cm, c = 6 cm
Substitute these values into equation 3
A = 8(4+5+6)
A = 8(15)
A = 120 cm²
Answer:
Step-by-step explanation:
1) we have to solve the associated equation
-16x^2 + 24x + 16 = 0
-2x^2 + 3x + 2 = 0
2x^2 -3x -2 = 0
Δ = 9 + 16 = 25
x1 = (3 + 5)/4= 2
x2 = (3 - 5)/4 =-1/2
the x intercepts are -1/2 and 2
2) a maximum because the parabola opens downwards (the first term is negative)
V(x) = -b/2a = -24/-32 = 3/4
V(y) = -16(9/16) + 24(3/4) + 16 = -9+18 + 16 = 25
V(3/4,25)
3) for draw a parabola is are necessary the coordinates of the vertex and of two points: one that lies to left of the vertex, and one that lies on the right to the vertex.
So we already have the necessary informations to draw it.
