MATHEMATICS HIGH SCHOOL

Use the given endpoint Rand midpoint M of RSto find the coordinates of the other endpoint.R(5,2), M (6,4)

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

(x+5)/2 = 6

x + 5 = 12

x = 7

(y + 2)/2= 4

y + 2 = 8

y = 6

(7, 6)

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A quadratic equation is shown below:x2 − 14x + 41 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points)


A:Add 8 to both sides of the equation
B:Add 9 to both sides of the equation
C:Subtract 8 from both sides of the equation
D:Subtract 9 from both sides of the equation

Answers

Since the desired equation is a perfect square binomial, it is necessary to obtain a constant term (in the case of the given equation, 41) that is also a perfect square. To determine the perfect square needed, take the coefficient of the second term (14x) and divide it by two, then square it. It should yield "49". To obtain 49 as the constant term, we have to add 8 to both sides of the equation. Among the choices, the correct answer is A.

The first correct step to write the above equation in the form id to subtract 49 from both sides of the equation

Vertex form of an equation

The standard vertex form of an equation is expressed as:

a(x − p)² = q

Given the quadratic equation x^2 − 14x + 49 = 0

The first step is to subtract the constant of the expression from both sides as shown:

Subtract 49 from both sides of the equation to have:

x^2 − 14x + 49 = 0

x^2 − 14x + 49 - 49= 0 - 49

x^2 - 14x = -49

Hence the first correct step to write the above equation in the form id to subtract 49 from both sides of the equation

Learn more on vertex form here: brainly.com/question/17987697

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8ducks for 23.60 blank per duck

Answers

Step-by-step explanation:

23.60÷8= 2.95

Each duck will be 2.95

Multiply 5/48 times 24/51 in simplest form

Answers

5/102 is the answer in simplest form.
The answer is 120/2448
or if simplest form
12/204
6/102
3/51
1/17

Write the fraction in decimal notation 3 1/100

Answers

3.01 is the decimal notation for 3 1/100. You keep the three in the ones place. 1/100 is a decimal. If you use long division or a calculator, you can see that 1/100 is 0.01.

Ron grew 224 flowers with 56 seed packets. How many seed packets does Ron need to have a total of 324 flowers in his garden? Assume the relationship is directly proportional.

Answers

Answer:

the relationship is directly proportional.

224 flowers                 324 flowers

56 seed packets        (324*56)/224=81 seed packets

I don’t understand how to do this. Someone please help me understand how to determine the solutions using the zero product property.

Answers

Set each pair of parentheses to zero. Solve them as separate equations.
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