Given that the metal strip is being installed around a bench that 6ft long 2ft wide. The metal required will be given by:
P=4(L+W)
=4(6+2)
=4(8)
=32 ft
Therefore we conclude that we need a metal strip that is 32ft long
Answer:
68.785 miles per hour
Step-by-step explanation:
make one of the numbers 0 and divide the other one by that number
Answer:
Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.
Step-by-step explanation:
Point A is (-4,6)
Point B is (-12,-12)
Point C is (6,-18)
Point D is (13,-1)
Given that the diagonals of a square are perpendicular to each other;
We know that the product of slopes of two perpendicular lines is -1.
So, slope(m) of AC × slope(m) of BD should be equal to -1.
Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4
Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44
The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056
Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.
Area of rhombus = length x height = 6 x 4 = 24 units²
Answer: 24 units²
Answer:
Equation in square form:
Extreme value:
Step-by-step explanation:
We are given
we can complete square
we can use formula
now, we can add and subtract 5^2
So, we get equation as
Extreme values:
we know that this parabola
and vertex of parabola always at extreme values
so, we can compare it with
where
vertex=(h,k)
now, we can compare and find h and k
we get
h=-5
k=-4
so, extreme value of this equation is
