All categories

4 years ago

The midpoint QR is M (-1,2). One endpoint is R (3,4). Find the coordinates of the other endpoint.

Mathematics

1 answer:

butalik [34]4 years ago

7 0

M = (x₁ + x₂)/2 , (y₁ + y₂)/2

(-1, 2) = $\frac{3 + x}{2} , \frac{4 + x}{2}$

At this point, it is easier to separate the x's and y's into two different equations:

x's: -1 = $\frac{3 + x}{2}$

-2 = 3 + x

-5 = x

y's: 2 = $\frac{4 + x}{2}$

4 = 4 + x

0 = x

Answer: (-5, 0)

You might be interested in

Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.

user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence $A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}$

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = $1 yd^{2}= 1296 in ^{2}$

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0

3 years ago

Read 2 more answers

You pick 5 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have

Tanzania [10]

Answer:

Probability is : 1/30240= 0.000033068

Step-by-step explanation:

You pick 5 digits (0-9) at random without replacement, and write them in the order picked.

The probability that you have written the first 5 digits of your phone number is -

As there are no repeats, the choice to choose from decreases at each step making it 10,9,8,7,6.

$(1/10)(1/9)(1/8)(1/7)(1/6)=1/30240= 0.000033068$

4 0

3 years ago

Complete the sentence to make it true statements 6 is 100 times

AnnyKZ [126]

Answer:

6 is 100 times 0.06

Step-by-step explanation:

0.06 times 100 = 6

8 0

4 years ago

Read 2 more answers

2. An expression is shown.

laiz [17]

Adding parentheses in the component $9\div 3$ of the expression may bring an output of 48.

<h3>Procedure - Application of hierarchy rules in a arithmetic expression</h3>

In this question we should make use of hierarchy rules represented by the use of parentheses. The parentheses oblige to make operations inside it before making it in the rest of the formula.

Now we decide to add parenthesis in the component $9\div 3$ such that the result of the entire expression is 48. We proceed to present the proof:

$2 \times 8 \times (9\div 3)$

$2\times 8 \times 3$

$2\times 24$

$48$

Adding parentheses in the component $9\div 3$ of the expression may bring an output of 48. $\blacksquare$

<h3>Remarks</h3>

The statement presents mistakes and is poorly formatted. Correct form is shown below:

An expression is shown: $2\times 8 \times 9 \div 3$

Using the same expression, add parenthesis so that the value of the expression is 48.

To learn more on hierarchy rule, we kindly invite to check this verified question: brainly.com/question/3572440

5 0

3 years ago

John accepted a reduction of 15% on his salary when his company was not doing well. Now his company's financial position has imp

o-na [289]

To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.

To make 85 back to 100 we divide it by the decrease (1-0.15):
85 / 0.85 = 100

To find out how much 85 increased to get back to 100, we do:
15 / 85 = 0.1765 = %17.65

15 is the reduction/difference, and 85 is the with reduction total.

Because percentages stay the same, this is applicable to any numbers, from this, we know that whenever something is reduced by 15% - when restored to it's original is increased by %17.65

The answer is %17.65

6 0

3 years ago