MATHEMATICS MIDDLE SCHOOL

Rewrite the parametric equation by eliminating the parameter x=4t+1 and y=t-3

Answers

Answer 1

Answer:

Answer:

The equation is x = 4y + 13

Step-by-step explanation:

* Lets talk about the parametric equations

- Parametric equations are a set of equations that express a set

of quantities as explicit functions of a number of independent

variables

- Ex: x = at + b and y = ct + d are parametric equations

- We use them to find relation between the variables x and y

* Lets solve the problem

∵ x = 4t + 1 ⇒ (1)

∵ y = t - 3 ⇒ (2)

- The parameter is t to eliminate it find t in terms of x or y

- We will use equation (2) to find t in terms of y

∵ y = t - 3 ⇒ add 3 to both sides

∴ t = y + 3 ⇒ (3)

- Substitute the value of t in equation (3) in equation (1)

∵ x = 4t + 1

∵ t = y + 3

∴ x = 4(y + 3) + 1 ⇒ open the bracket

∴ x = 4y + 12 + 1 ⇒ add like term

∴ x = 4y + 13

* The equation is x = 4y + 13

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Your teacher divides the class into two groups of the same size by picking names at random from the class, and you will be in group 1? A. impossible B. unlikely C. as likely as not D. Likely E. certain

Answers

Answer:

C. as likely as not

Step-by-step explanation:

The teacher makes two groups with the same number and divides the student at random. The two groups have equal size, so the chance for someone to get picked into group 1 is 100%/2= 50%. The chance for someone to get picked into group 2 will be also 100%/2= 50%

The chance to get picked to be in group 1(50%) is the same as the chance to NOT get picked into group 1(50%). The word to explain this chance will be "as likely as not".

What is the greatest common factor of 39 and 6

Answers

Answer:

the greatest common factor is 3

Answer:

The answer to this question is 3

Step-by-step explanation:

the answer is 3

What is the answer to:
x + y = 4
Y= x+4
Using elimination

Answers

x + y = 4
y = x + 4

x + (x + 4) = 4
y = x + 4

2x + 4 = 4
y = x + 4

2x = 4 - 4
y = x + 4

x = 0
y = 0 + 4

x = 0
y = 4

abby makes two different quilts. Each quilts is a square. However, the quilts have diferent perimeter, and areas. Describe the areas and perimeters the two quilts could have

Answers

Answer:

Step-by-step explanation:

In this question we need to assume the side length of each quilt

quilt 1: 3 cm
quilt 2: 4 cm

Quilt 1 has the area of: 3*3 = 9 square cm and the perimeter: 3+3+3+3 = 12 cm

Quilt has has the area of: 4*4 = 19 square cm and the perimeter: 4+4+4+4 = 16 cm

So you can see the quilts have different perimeter, and areas

I would answer this question if I had a picture or something to guide me

Which property is shown?x = y and y = z, so x = z

A. Transitive Property
B. Multiplicative Identity
C. Communicative Property of Multiplication
D. Reflexive Property

Answers

Answer:

A. Transitive Property

3. IF ON = 5x - 7, LM = 4x +4, NM = x - 7, and OL = 3y – 4, find the values of x and y for which LMNO mustbe a parallelogram. The diagram is not to scale.
N CH-7=5X