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Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
Answer:
x = 110°
Step-by-step explanation:
The sum of the interior angles in a quadrilateral is 360°. This means:
x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this
3 1/2x - 25 = 360° - now add 25 to both sides
3 1/2x = 385 - finally divide both sides by 3 1/2
x = 385 ÷ 3.5 = 110
x = 110°
Hope this helps!
Answer:
Half; twice
Step-by-step explanation:
In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".
Thus,
2r = d
r = d/2
For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.
Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius
The graph graphed is y=1/2x
so
y=1/2x and y=-x+6
y=y so
1/2x=-x+6
times 2 both sides
x=-2x+12
add 2x both sides
3x=12
x=4
sub back
y=1/2x
y=1/2(4)
y=2
(4,2) is the solution
Answer:
x=-2.2 y=-1.6
Step-by-step explanation:
8x+y=-16
-3x+y=5
5x=-11
x=-11/5 or -2.2
-3x+y=5
-3(-2.2)+y=5
6.6+y=5
-6.6+y=-6.6
y=-1.6