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2 years ago

Can someone please help me? I don't understand how to solve this.

Mathematics

1 answer:

Scilla [17]2 years ago

3 0

Answer:

(5, 15)

Step-by-step explanation:

The problem statement tells you how to solve it. You are expected to know what the midpoint formula is.

You are given that (x, y) is the unknown end point. If (Mx, My) is the midpoint, and (x1, y1) is one end point, the midpoint formula tells you ...

Mx = (x1 +x)/2

My = (y1 +y)/2

Solving these equations for x and y, you get ...

2Mx = x1 +x

x = 2Mx -x1

Similarly, ...

2My = y1 +y

y = 2My -y1

Filling in the given coordinates, this becomes ...

x = 2(-2) -(-9) = -4 +9 = 5

y = 2(7) -(-1) = 14 +1 = 15

The other endpoint is (5, 15).

_____

<em>Additional comment</em>

I like to write the midpoint formula for points A and B as ...

M = (A +B)/2

where A and B each represent an ordered pair (or triple, in 3 dimensions). The arithmetic is done element-by-element on the ordered pairs, so this formula is equivalent to the one above.

If you solve it for B, you get ...

B = 2M - A . . . . the other endpoint given the midpoint and one endpoint

This might be a formula you want to add to your list of useful formulas in Algebra.

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Ishaan and his friends have 40$ to spend at a restaurant.

Paul [167]

The number of salads Ishaan and his friends can afford is 6 salads.

<h3>What are Word Problems?</h3>

Word Problems in mathematics involve crucial understanding and the use of variables and arithmetic operations to solve real-life cases.

From the given information;

The total amount with Ishaan and his friends = $40
If they decided to spend the money on salad(x) and one salad(x) cost = $6

Thus, the number of salads they can purchase is:

$\mathbf{x = \dfrac{\$40}{\$6}}$

x = 6 salads remaining $4

Therefore, we can conclude that the number of salads they can purchase with $40 is 6 salads with a remaining amount of $4.

Learn more about word problems here:

brainly.com/question/21405634

3 0

2 years ago

Question 1<br> Which of the following is a rational number?<br> (15./16, 121, V22

mel-nik [20]

Answer:

$\sqrt{22}$

Should be the answer

6 0

3 years ago

Solve for A A/20 = 7

slavikrds [6]

Answer:

A = 140

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=0%20%3D%20%20%20-%204.9t%20%7B%7D%5E%7B2%7D%20%20%2B%2027t%20%2B%202.4" id="TexFormula1" title

marta [7]

$0 = - 4.9t {}^{2} + 27t + 2.4$
Convert decimals to fractions

$0 = - \frac{49}{10} t {}^{2} + 27t + \frac{12}{5}$
Multiply both sides by 10

$0 = - 49t {}^{2} + 270t + 24$
Move expression to the left.

$0 + 49t {}^{2} - 270t - 24 = 0$
Remove zero.

$49t {}^{2} - 270t - 24 = 0$ Solve the quadratic equation.

$t = \frac{ - ( - 270) + - \sqrt{( - 270) {}^{2} - 4 \times 49 \times ( - 24) } }{2 \times 49}$
Remove parenthesis and calculate.

$t = \frac{270 + - \sqrt{72900 + 4704} }{98}$
Add the numbers

$t = \frac{270 + - 77604}{98}$
Separate the solutions

$t = \frac{270 + \sqrt{77604} }{98} \\ t = \frac{270 - \sqrt{77604} }{98}$
The final solution are
$t1 = \frac{270 - \sqrt{77604} }{98} , t2 = \frac{270 + \sqrt{77604} }{98}$

7 0

3 years ago

In the year 2005, a total of 750 fish were introduced into a man made lake. The fish population was expected to grow at a rate o

Butoxors [25]

Answer:

In 2050 fish population is 27000

Step-by-step explanation:

Exponential change can be modeled by,

$F=F(0)+x^{n}$

Where $F(0)$ is the initial value of 750, $x$ is the rate of change. It is greater then 1 when there is growth and less then 1 when there is decay. and $n$ is the number of time periods.