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4 years ago

Algebra A is the midpoint of XY find XA,XY,and AY

Mathematics

1 answer:

aalyn [17]4 years ago

8 0

From the drawing, we can see that:
XA = 3x and AY = 5x - 6

Since A is the midpoint of AY, therefore, XA = AY
3x = 5x - 6
6 = 5x - 3x
6 = 2x
x = 3

Substituting in the equations of XA and AY, we can calculate their lengths as follows:
XA = 3x = 3 x 3 = 9 length units
AY = 5x - 6 = 5(3) - 6 = 15 - 6 = 9 lengths units as well

To get the length of XY, simply add the length of XA and AY as follows:
XY = 9 + 9 = 18 length units.

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An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams. The equation re

just olya [345]

Answer:

Equation:

250 + 132.5y = x

Solution for solving for x:

x = 250 + 132.5y

Solution for solving for y:

y = (x - 250)/132.5

In this situation, the solutions mean that the equation is linear or first grade because the solutions can be calculated in any of the following four forms:

1. Adding the same number to both sides

2. Subtracting the same number from both sides

3. Multiplying both sides by the same number

4. Dividing both sides by the same number

Completing the question and statement correctly:

The equation represents the relationship between the quantities in this situation, where x is the weight, in grams, of the filled box and y the number of shirts in the box.

Step-by-step explanation:

1. Let's review all the information provided to us to answer the question correctly:

Weight of an empty box = 250 grams

Weight of each T-shirt = 132.5 grams

2. Name two possible solutions to the equation that represent the relationship between the quantities in this situation, where x is the weight, in grams, of the filled box and y the number of shirts in the box. What do the solutions mean in this situation?

x = weight, in grams, of the filled box

y = number of shirts in the box

Equation:

250 + 132.5y = x

Solution for solving for x:

x = 250 + 132.5y

Solution for solving for y:

y = (x - 250)/132.5

In this situation, the solutions mean that the equation is linear or first grade because the solutions can be calculated in any of the following four forms:

1. Adding the same number to both sides

2. Subtracting the same number from both sides

3. Multiplying both sides by the same number

4. Dividing both sides by the same number

3 0

3 years ago

I do not understand any of the questions its asking :c

Agata [3.3K]

Answer:

Step-by-step explanation:

The total number of students is 350 + 50 + 225 + 375 = 1000.

There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.

There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.

The probabilities are not the same.

Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.

7 0

3 years ago

Find the derivative of sinx/1+cosx, using quotient rule

Mrrafil [7]

Answer:

f'(x) = -1/(1 - Cos(x))

Step-by-step explanation:

The quotient rule for derivation is:

For f(x) = h(x)/k(x)

$f'(x) = \frac{h'(x)*k(x) - k'(x)*h(x)}{k^2(x)}$