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3 years ago

Denzel earned money after school

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

Great for him. I'm so proud.

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The area of a rectangle is 36 square centimeters and its length is 9 centimeters

Andrei [34K]

A) 4 cm
B) 9 cm x 12 cm
C) 108 cm

8 0

2 years ago

What is i^84? a) -i b) i c) -1 d) 1

mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

$i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1$

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

7 0

3 years ago

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

Hence the length of AB is 29.15 units .

5 0

2 years ago

The slope of a line is -1/4 and the y-intercept is 8. Whats the x-intercept?

Fed [463]

Slope = -1/4
y-interept = 8
⇒equation: y = -1/4x + 8

x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4
x = 32

Answer: x-intercept = (32,0)

7 0

2 years ago

1 substitute p=5, q=7, r = -2

lora16 [44]

a.) 2q + 5r

2(7) + 5(-2)

14 - 10 = 4

b.) 3(p + 6) + q + r Plug in the numbers

3(5 + 6) + 7 - 2 Solve inside the parentheses first

3(11) + 7 - 2

33 + 5 = 38

a.) m(3m + 4n)

2(3(2) + 4(3))

2(6 + 12)

2(18) = 36

b.) n²(m + p²)

(3)²(2 + (-5)²)

9(2 + 25)

9(27) = 243

c.) 3m(8 + n) + n²

3(2) (8 + 3) + 3²

6(11) + 9

66 + 9 = 75

3 0

2 years ago