Answer:
Rhombus
Step-by-step explanation:
Shape of a playground is a quadrilateral
It is given that all sides of a quadrilateral are= 27 feet
Since all the sides of a quadrilateral are equal that it can be either a rhombus or it can be a square
Two angle are 65° each
And other two angers are 115° each
65°+ 115°= 180°
It forms a co-interior angle
Hence the quadrilateral is a parallelogram
Since all the four sides of parallelogram are equal, than the given figure must be rhombus
Hence, geomatric shape best describes the shape of the playground is Rhombus.
F(x) = x^2 - 6x + 4 {-3, 0, 5} (x, y) x is the domain, y is the range.
plug in the domain numbers into the equation to find the range.
y = x^2 - 6x + 4
y = -3^2 - 6(-3) + 4
y = 9 - (-18) + 4
y = 9 + 18 + 4
y = 31 (-3, 31)
y = x^2 - 6x + 4
y = 0^2 - 6(0) + 4
y = 0 - 0 + 4
y = 4 (0, 4)
y = x^2 - 6x + 4
y = 5^2 - 6(5) + 4
y = 25 - 30 + 4
y = -1 (5, -1)
c. {-1, 4, 31}
hope this helped, God bless!
Answer:
x = 5
Step-by-step explanation:
To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:
3(x+1)=7(x-2)-3 becomes...
3x + 3 = 7x - 14 - 3
3x + 3 = 7x -17
Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides
3x + 3 - 3x + 17 = 7x -17 + 17 - 3x
20 = 4x
If we isolate x alone we have:
20/4 = x or x = 5
Tan x=opposite/adjacent
cot x=adjacent/opposite
so you need to inverse the fraction
tan x=.78 as a fraction is 78/100
-> inversed= 100/78=1.28=cot x
so it is the second option
