Answer:
Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units
Step-by-step explanation:
Here, we want to use the absolute value of the coordinates to find the distances.
Since we are using absolute values, the negative points becomes positive;
Thus;
Q = (4,2)
R = (3,2)
S = (3,5)
Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
The distance QR is thus;
D = √(3-4)^2 + (2-2)^2
D = √(-1)^2 + 0
D = √1 = 1 unit
The distance RS is thus;
D = √(3-3)^2 + (5-2)^2
D = √(0) + (9)
D = √9 = 3 units
From the graph we can observe the following characteristics:
a) The graph is rising towards the left and falling towards the right. Since the two ends of the graph are in opposite direction, the degree of the polynomial which is represented by the graph will be odd. In case of even degree, the both ends face the same direction.
b) The coefficient of the polynomial must be negative. Only in this case the graph will fall towards right and rise towards left. In case of a positive coefficient, the graph falls towards left and rise towards right.
So, the polynomial represented by above graph will have negative coefficient and odd degree, which is represented by option C.
So, the answer to this question is C
In a graph, "y" axis is the vertical axis and the blue curve is your function "f(x)". So, on the blue curve, trace and mark the place that is the highest in the given window. Notice that when "x" axis (the horizontal one) is π, the blue curve reaches its highest point,
For <span>h(x)=2cos(x)+1</span>, remember that the maximum value for <span>cos(x)</span> is "1". So, the maximum value for<span>h(x)=2(1)+1<span>=3</span></span>
Question;
In the next year, an economist in a particular nation believes that exports will have a mean of 295 and a standard deviation of 12 (in millions of dollars). In addition, he believes that imports will have a mean of 70 and a standard deviation of 14 (in millions of dollars). Finally, he believes that the correlation between imports and exports will be -0.63. Define the trade balance as exports minus imports. Find the mean and the standard deviation of the trade balance (in millions of dollars) ROUND YOUR ANSWERS TO TWO DECIMAL PLACES
Answer:
Mean = mean exports - mean imports = 295 - 70 = 225.00
Standard deviation = 12 - 14 = -2( in million dollars)
Answer:
Yes
Step-by-step explanation:
You can get there a couple of ways. One makes use of the secant rules that tell you ...
PQ × PR = PS × PT
Substituting for PR and PT, you have ...
PQ × (PQ + QR) = PS × (PS + ST)
PQ² + PQ×QR = PS² + PS×ST
Substituting PQ for PS everywhere, we have ...
PQ² + PQ×QR = PQ² + PQ×ST
Dividing by PQ gives ...
PQ + QR = PQ + ST
and subtracting PQ leads us to the conclusion ...
QR = ST
_____
Another way to look at it is to draw the chord QS. Then ΔQPS is an isosceles triangle, and the perpendicular bisector of QS bisects ∠P and also goes through the circle center. Then the figure is symmetrical about that diameter secant, making QR ≅ ST.
