MATHEMATICS HIGH SCHOOL

If the dimensions of a figure are doubled, then the area of the figure is___.

Answers

Answer 1

Answer: If the dimensions of a figure are doubled, then the area of the figure is quadrupled.

Answer 2

Answer:

Answer:

Quadrupled

Step-by-step explanation:

Let us consider rectangle be a figure whose dimensions are $a and b$ .

Then, the area of the rectangle will be:

$A=a{*}b$

$A=ab square units$

Now, If we double the dimensions of the rectangle that is $2a and 2b$ , then the area of the rectangle will become:

$A=2a{*}2b$

$A=4ab square units$

Therefore, if we double the dimensions of the rectangle, the area becomes quadrupled.

Thus, If the dimensions of a figure are doubled, then the area of the figure is Quadrupled.

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Solve by using the quadratic formula. 15x^2 - 1 = 2x

What is the decimal representation of 2/ 10

Answers

0.2 is the decimal representation of 2/ 10.

What is Number system?

A number system is defined as a system of writing to express numbers.

The given fraction is 2/10

2/10 is a fraction.

2 is the numerator

10 is the denominator.

Divide numerator and denominator by 2

We get 1/5

The value of 1/5 is 0.2.

Hence, 0.2 is the decimal representation of 2/ 10

To learn more on Numbersystem click:

brainly.com/question/22046046

#SPJ5

to represent 2/10 it can be 0.20 or 0.2

A rectangular game board is composed of identical squares arranged in a rectangular array of r rows and r+1 columns. The r rows are numbered from 1 through r, and the r+1 columns are numbered from 1 through r+1. If r>10, which of the following represents the number of squares on the board that are neither in the 4th row nor in the 7th column?A. r^2 - r
B. r^2 - 1
C. r^2
D. r^2 + 1
E. r^2 + r

Answers

The correct answer is A r^2 - r. Here is the procedure to give you an idea on to why is it like that:
Lets say that total rows : r
And lets say that total columns : r + 1
Now the total squares = r(r+1) ------------(1)
squares in 4th row = r+1
squares in 7th column = r
squares common to above = 1
total squares in 4th row, and 7th column = 2r ------- (2)
Now what we cca do after describing all this facts is that
- 1 from both row will be r-1
column will be r
and then multiply (will be r*r-1 or r^2-r)!
I hope this can help you greatly

Compare the slopes of the lines for y = f(x) andy = g(x) to determine if each pair of lines is parallel.
SEE EXAMPLE 1
18
f(x) g(x)
0 20 22
g
х
1
35
37
s
2
50
52
3
65
67

Answers

Answer:

Step-by-step explanation:

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ will be given by,

Slope 'm' = $(y_2-y_1)/(x_2-x_1)$

Function 'f' passes through two points (0, 20) and (1, 35).

Slope of the line $m_1$ = $(35-20)/(1-0)$ = 15

Similarly function 'g' is passing through (0, 22) and (1, 37).

Slope of the line $m_2=(37-22)/(1-0)$ = 15

Therefore, $m_1=m_2$

Since, slopes of both the lines are equal, lines will be parallel.

Pranav made a nut mixture that contains 82% peanuts by mixing 6kg of mixed nuts with 9kg of peanuts. The mixed nuts contained what percent peanuts?

Answers

ok so
82%=82/100=0.82

82% of all =peanuts

total=6+9=15kg

all=15
0.82 times 15=peanuts
12.3=peanuts

12.3kg of peanuts total
9kgpeanuts+xkgpeanuts(inmixednuts)=12.3
subtract 9 from both sides
xkgpeanuts=3.3kg

3.3/9=x%
x%=x/100
3.3/9=x/100
1.1/3=x/100
multiply both sides by 300
110=3x
divide both sides by 3
36.6666=x
36.6666% is answer
aprox 37%

What is the greatest common factor of the pair of numbers?104 and 260

Question 9 options:

4

13

20

52

Answers

52*2 = 104, 104 + 104 + 52 = 260, so it's 52

the greatest common factor of 104 and 260 is 52

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?A. 60^2 − 40^2 = (3600 + 1600)(3600 − 1600) = 10,400,000

B. 60^2 − 40^2 = 3600 − 1600 = 2,000

C. 60^2 − 40^2 = (60 − 40)^2 = 20^2 = 400

D. 60^2 − 40^2 = (60 + 40)(60 − 40) = (100)(20) = 2,000

Answers

The difference of squares method uses the following formula:

$a^(2) - b^(2) = (a+b)(a-b)$

Answer A has the squares multiplied out, then put into the formula, which is incorrect.

Answer B does not use this formula, as the squares are multiplied out and solved without using this method.

Answer C subtracts in terms of the power, which is completely wrong.

The answer is D.

Answer:

D. 60^2 − 40^2 = (60 + 40)(60 − 40) = (100)(20) = 2,000

Step-by-step explanation:

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