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ad-work [718]
3 years ago
12

Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the

area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

Step-by-step explanation:

4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²

{Compare with a² + 2ab + b² = (a+ b)²}

                         = (2x + 5)²

                         = (2x +5)*(2x+5)

Side of the square = 2x+ 5

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Pls help for this pre calc question 25 points rewarded!
Temka [501]

Let's check the dot product .

v.w = 5(4)-2(10) = 20 -20 =0

So the dot product is not 20 . And since the dot product is zero, so they are perpendicular.

And the y component of w is 10.

So correct options are first and third .

3 0
4 years ago
Two less than 5 times a number is the same as the number plus 6
Alex777 [14]

Answer:

3

Step-by-step explanation:

from the question,you get an expresion of

6n-5= n + 10

5n = 15

Isolate n

5n/5 = 15/5

n+3

6 0
4 years ago
The perimeter of a rectangle is 42 cm and the area is 80 cm². Write an equation to model the situation and find the dimensions o
mafiozo [28]

Answer:

16cm by 5cm

Step-by-step explanation:

P=2(l+w)  

A= wl

80 factorization: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

you then would have to find 2 numbers that would add up to make 42.

When you try 16*2+5*2= 32+10= 42 cm as your perimeter.

16*5= 80 cm^2 as your area.

7 0
3 years ago
An international company has 29,100 employees in one country. If this represents 23.7% of the company's employees, how many empl
WINSTONCH [101]

Answer:

122785 employees.

Step-by-step explanation:

Let the total number of employees be X

Given the following data;

Number of employees = 29100

Percentage = 23.7%

To find the total number of employees;

23.7/100 * X = 29100

Cross-multiplying, we have;

23.7X = 29100 * 100

23.7X = 2910000

X = 2910000/23.7

X = 122784.81 ≈ 122785 employees

6 0
3 years ago
Determine the simple interest when:
ivann1987 [24]

Answer:

$75.65

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 890 × 0.0425 × 2 = 75.65

I = $ 75.65

The simple interest accumulated

on a principal of $ 890.00

at a rate of 4.25% per year

for 2 years is $ 75.65.

4 0
3 years ago
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