Answer:
The quadrilateral shown on the graph is most likely to be a square.
Choice A
Step-by-step explanation:
All the sides appear to be equal which is a characteristic of squares.
Secondly, the sides appear to be intersecting at right angles
Finally, the sides appear to be parallel to each other.
Answer:
x^2 + x-72=0
Step-by-step explanation:
x(x+1) =72
Distribute
x^2 +x = 72
Subtract 72 from each side
x^2 +x - 72 = 0
Now this is the equation we can factor
Using similarity principle, the height of the tree is 1.97 meters
<h3>How to find height of the tree?</h3>
He is 1.75 meters tall.
His shadow = 33.7 meters
The length of the tree shadows = 37.95 meters
Using similarity principles where the corresponding length are a ratio of each other.
Therefore,
1.75 / x = 33.7 / 37.95
cross multiply
37.95 × 1.75 = 33.7x
66.4125 = 33.7x
divide both sides by 33.7
x = 66.4125 / 33.7
x = 1.97069732938
x = 1.97 meters
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Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
Answer:
15.98
Step-by-step explanation:
∑₁¹⁰
We have to use the formula of sum of a G.P. series with common ratio r < 1.
If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by
(Answer)