Answer:
y = 15x
Step-by-step explanation:
Given x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 2, y = 30, then
30 = 2k ( divide both sides by 2 )
15 = k
y = 15x ← equation of variation
Answer:
Sample Space:
1. (real, white)
2. (real, silver)
3. (real, gold)
4. (real, purple)
5. (fake, white)
6. (fake, silver)
7. (fake, gold)
8. (fake, purple)
Step-by-step explanation:
Nour and Rana each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.
Whose display correctly represents the sample space?
We are not given their sample space but still you can compare the sample space you have with this one to find out whether it is correct or not.
There are 2 different types of Christmas trees
1. Real
2. Fake
There are 4 different types of colors for the ornaments
1. white
2. silver
3. gold
4. purple
The sample space is the set of all the possible outcomes of an experiment.
Then all of the possible outcomes are:
1. (real, white)
2. (real, silver)
3. (real, gold)
4. (real, purple)
5. (fake, white)
6. (fake, silver)
7. (fake, gold)
8. (fake, purple)
Therefore, there are total 8 possible outcomes.
Note: If your sample space matches with this one then it is correct otherwise it is not correct.
I believe it is that you multiply
Answer:
y=-3x-1
Step-by-step explanation:
12x+4y=-4
Slope intercept y=mx+b
Subtract 12x from both sides
4y=-4-12x
Divide each side by 4
y=-1-3x then just reorder to match slope intercept form
y=3x-1
Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
