Answer:
0.125 meters
Step-by-step explanation:
Eloise's aunt cut 9.5 meters of ribbon into 4 equal sections and gave one of those sections to Eloise.
The length of the ribbon given to Eloise
= 9.5 meters/4
= 2.375 meters
Her friend Amelie has 2.5 meters of ribbon.
How much more ribbon does Amelie have than Eloise?
This is calculated as:
Number of meters of ribbon Amelie has - Number of meters if ribbon Eloise has
= 2.5 meter - 2.375 meters
= 0.125 meters
Therefore: Amelie has 0.125 meters of ribbon more than Eloise
a. We assume you want the dot product. That is the sum of the products of the corresponding components.
... V1•V2 = (-6)(-3) + (4)(6) = 18 + 24 = 42
b. V1•V2 = |V1|·|V2|·cos(α)
... α = arccos(V1•V2/(|V1|·|V2|)
... α = arccos(42/√(((-6)²+4²)((-3)²+6²)))
... α = arccos(42/√2340)
... α ≈ 29.74°
c. The scalar projection of V1 onto V2 is the dot product of V1 with the unit vector in the V2 direction.
... V1•V2/|V2| = 42/√45 = 42/(3√5) = (14/5)√5
d. The projection of V1 onto V2 is the result of part c multiplied by the unit vector in the direction of V2.
... projection of V1 onto V2 = (14/5)√5·(-3, 6)/(3√5) = (14/5)(-1, 2) = (-14/5, 28/5)
The answer should be z2-144
Y = 1/3x + 2
Explanation- find the slope. By looking at the first point, you go up 1 and over 3, making slope 1/3. Or you can find the slope with the equation:
m = y2-y1
———
x2-x1
The y intercept is on the y axis at 2.
So, The equation is y = 1/3x + 2
Answer:
Yes, "y" varies directly with "x"
The constant of variation is:
Step-by-step explanation:
Constant variation equation has the following form:
Where "k" is the constant of variation.
You can notice in the table the when "x" increases, "y" increases and the ratio between them is always the same.
To find "k" you need to pick any a point from the table, subsitutte the coordinates into and solve for "k". Then: