if x is changed by 2 , the y changes by +3, Option B is the correct answer.
<h3>What is the equation of a Linear Function ?</h3>
The equation of a Linear Function is given by
y = mx +c
here m is the slope , c is the intercept on the y axis
The data is given in the table
To determine the relation , a function needs to be established between the variables.
m = ( y2 -y1 )/(x2-x1)
m = (-7 +10) /(-2+4)
m = 3 / 2
y = (3/2)x + c
at x = 0 , y= -4
-4 = 0 + c
c = -4
The function is
y = (3/2) x - 4
if x is changed by 2 , the y changes by +3
Therefore Option B is the correct answer.
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Answer:
∠ABD = 45°
Step-by-step explanation:
Since ABCD is a square, its diagonals (Line BD) bisect the angles of the corners of the square (∠ABC) into two equal angles (∠ABD and ∠CBD). The angle of each corner is 90° so you can find ∠ABD.
2(∠ABD) = 90°
∠ABD = 90° ÷ 2
∠ABD = 45°
Answer:
The length of the wire is 15 ft.
Step-by-step explanation:
The solution of this exercise comes from an application of the Pythagorean theorem. The explanation here is complemented with the figure attached.
In the figure the segments AB and CD represents the vertical poles, where the length of AB is 6 ft and the length of CD is 15 ft. We want to find the length of the segment BD, that represents the stretched wire. The length of the segment AC is 12 ft, which is the distance between the poles.
If we draw an imaginary line from A perpendicular to DC, we obtain a rectangle ABEC, and a right triangle BED. Then, the length of BE is 12 ft. Moreover, the length of CE is 6 ft, because is equal to the length of AB. Hence, the length of DE is 9 ft, because DE = DC-EC.
As we want to find the length of the hypotenuse BD of the right triangle BED, and we already have the lengths of the other two sides, we only need to apply the Pythagorean theorem. This is

Then, taking square roots in both sides: BD=15 ft.
Answer:
Step-by-step explanation:
x+2x+x+10=90,
4x=80
x=20