Answer: Slope = -2.667/2.000 = -1.333
x-intercept = 5/4 = 1.25000
y-intercept = 5/3 = 1.66667
Step-by-step explanation: Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.667 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - 1.667 = -2.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Answer:
All the sides of the triangle X'Y'Z' are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2.
All the sides of the triangle X'Y'Z' are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2.Enlargement is an example of a transformation. A transformation is a way of changing the size or position of a shape.
All the sides of the triangle X'Y'Z' are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2.Enlargement is an example of a transformation. A transformation is a way of changing the size or position of a shape.To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.
All the sides of the triangle X'Y'Z' are twice as long as the sides of the original triangle XYZ. The triangle XYZ has been enlarged by a scale factor of 2.Enlargement is an example of a transformation. A transformation is a way of changing the size or position of a shape.To enlarge a shape, a centre of enlargement is required. When a shape is enlarged from a centre of enlargement, the distances from the centre to each point are multiplied by the scale factor.The lengths in triangle A'B'C' are three times as long as triangle ABC. The distance from O to triangle A'B'C' is three times the distance from O to ABC.
Answer:
x=3
Step-by-step explanation:
We are given the equation
This can be rewritten as
Now using the quotient rule for logarithms we can combine these two
Next we can remove the log by using an inverse operation
Now we can solve for x
Sin(B) = opp/hyp = 32/40 = 0.8
cos(B) = adj/hyp = 24/40 = 0.6
tan(B) = opp/adj = 32/24 = 1.33 (repeating)
