Answer:
y=2x+8
Step-by-step explanation:
Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.
(1,10) and (2,12)
To find the slope, we do:
Which equals to 2
So right now we can say that the equation is:
y=2x+b
In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:
10=2(1)+b
10=2+b
8=b
So now we can say that the equation is:
y=2x+8
<span>Which two measures did the United States take to counter terrorism after the September 11 attacks?
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Y1 is the simplest parabola. Its vertex is at (0,0) and it passes thru (2,4). This is enough info to conclude that y1 = x^2.
y4, the lower red graph, is a bit more of a challenge. We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).
Let's try this: assume that the general equation for a parabola is
y-k = a(x-h)^2, where (h,k) is the vertex. Subst. the known values,
-3-(-4) = a(2-0)^2. Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.
The equation of parabola y4 is y+4 = (1/4)x^2
Or you could elim. the fraction and write the eqn as 4y+16=x^2, or
4y = x^2-16, or y = (1/4)x - 4. Take your pick! Hope this helps you find "a" for the other parabolas.
Answer:
43°
Step-by-step explanation:
For triangle ABC:
A = C so all we need to do is to calculate the value of B
The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well
Since DBE is an equilateral triangle angle is DBE = 60°
17 + 17 + 60 = 94 this is the measure of angle B
The sum of interior angles in a triangle is equal to 180
A + B + C = 180
A + C + 94 = 180
A + C = 86 since A = C we divide 86 by 2
C = 43°
Answer:
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