Making the assumption that your problem looks like this,

we use the distributive property to multiply:
Answer:
a:b = 2
Step-by-step explanation:
Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).
We have:
2a−b/6 = b/3
Lets sum b/6 in both sides:
2a−b/6 + b/6 = b/3 + b/6
2a = b/3 + b/6
Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:
2a = b/3*(2/2) + b/6
2a = 2b/6 + b/6
2a = 3b/6
2a = b/2, as 3/6 = 1/2
Now lets divide both sides by b to make an a/b appear:
2a/b = (b/2)/b
2a/b = 1/2
Finally, multiply both sides by (1/2) or divide by 2:
(2a/b)/2 = 2
a/b = 2
This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.
Answer:
a) only extreme values are used in its calculation.
Step-by-step explanation:
In a data set, the range is given by the subtraction of it's highest value by it's lowest value.
The disadvantage is that it gives a high weight to extreme values, not focusing on central values. So the correct answer is given by option a
The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.
The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).
In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.
15/9 = 10/HB
HB = 90/15
HB = 6 blocks.
To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.
You have the following function:

Derivate implictly the previous expression, as follow:

Where you have used that:

Then, the implicit derivative of the given expression is:

Next, solve for y' as follow:
