Answer:
West of 100°W, much of the U.S. has a cold semi-arid climate in the interior upper western states (Idaho to the Dakotas), to warm to hot desert and semi-arid climates in the southwestern U.S. East of 100°W, the climate is humid continental in northern areas (locations roughly above 40°N, Northern Plains, Midwest, Great ...
Answer:
Step-by-step explanation:
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⇒ x - 6 = 2x + 26
⇒ x = -32
⇒ This Equation has One Solution
So, It matches with A in Column B
2. 2 + 6x - 7 = 8 + 2x - 10 + 4x
⇒ 6x - 5 = 6x - 2
As, They are Equations of Parallel Lines. They never meet each other.
⇒ This Equation has No Solution
⇒ So, It matches with B in Column B
3. 15x + 25 = 15x + 10
As, They are Equations of Parallel Lines. They never meet each other.
⇒ This Equation has No Solution
⇒ So, It matches with B in Column B
4. 16 + 8x = 4(2x + 4)
⇒ 16 + 8x = 16 + 8x
As, Both Equations are Same. They Represent the Same Line.
⇒ This Equation has Infinite Number of Solutions
⇒ So, It matches with C in Column B
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100 .
The factors of 65 are 1, 5, 13, and 65 .
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70 .
Answer:
B) -1
Step-by-step explanation:
This is the equation of a parabola which can be expressed as
y = a(x-h)² + k (1)
where (h, k) are the coordinates of the vertex which is the minimum or maximum of the graph. Strict definition is where the parabola intersects the line of symmetry ie the line which cuts a shape into half
Parabolas are symmetric around the line of symmetry
Here we see the vertex is at x = 0, y = 9 (0,9) so h=0 and k = 9
Substituting equation (1) we get
y = a(x -0)² + 9 = ax² + 9
To find a all we have to do is choose any point on the parabola, plug its x and y values into the parabola equation above
A convenient point is where the parabola intersects the positive x axis. Here x = 3 and y = 0
Plugging these values we get
0 = a(3)² + 9
a = -9/9 = -1
