MATHEMATICS HIGH SCHOOL

What is the graph of the inequality in the coordinate plane x ≥ 1

Answers

Answer 1

Answer: The graph would be a vertical line through x=1 (1,0), with shading to the left of it.

Answer 2

Answer:

Answer: basically it would be whatever side the x is one indicating x is greater than 1

Step-by-step explanation:

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A regular hexagon has perimeter 60 in. What is the hexagon's area?

Answers

P = 60 in
P = 6 a
6 a = 60
a = 60 : 6
a = 10 in
The area :
A = 6 · a² √3 / 4
A = 6 · 10² √3 / 4 = 600√3 / 4 = 150 √ 3 in²
Answer:
The hexagon`s area is 150√3 in².

Answer:

Hence, the area of polygon is:

259.8 inches^2.

Step-by-step explanation:

We know that a regular hexagon is a polygon consisting of six equal sides.

Let 'a' be the side length of the hexagon.

We are given perimeter of hexagon=60 in.

This implies.

Perimeter=6a

⇒ 60 =6×a

⇒ a=60/6

⇒ a=10 inches.

Now we know that the area(A) of regular hexagon with side 'a' is given by:

$A=(3√(3))/(2)* a^2$

Now, on putting the value of a we get.

$A=(3√(3))/(2)* (10)^2\n\nA=259.8 \ inches^2$

Hence, the area of polygon is:

259.8 inches^2.

Solve the equation for y (Y-3)^2=4y-12

Answers

If you would like to solve the equation for y, you can do this using the following steps:

(y - 3)^2 = 4y - 12
y^2 - 6y + 9 - 4y + 12 = 0
y^2 - 10y + 21 = 0
(y - 7) * (y - 3) = 0
1. y = 7
2. y = 3

The correct result would be y = 7 or y = 3.

a crew is made up of 8 men; the rest are women. 66 2/3% of the crew are men. how many people are in the crew?

Answers

let x=total crew number
$(x)/(8)$ = 0.6666..
cross multiply
$(8)/(0.666)$ = x
x=12
12-8 = 4
So there are 4 women in the crew

Find the value of x (3x+38)5x

Answers

Answer:

Step-by-step explanation:

3x = -38 + 5x

3x + -5x = -38 + 5x + 5x

3x + -5x = -2x

-2x = -38 + 5x + -5x

5x + 5x =0

-2x = -38 + 0

-2x = -38

-2x / -12 = 38 / -2

x=19

Let n = 2.5. what is the value of 2n(6n-3)+4n?

Answers

$n = 2.5, \ \n\n\ 2n(6n-3)+4n = 12n^2 - 6n +4n =12n^2-2n\n \n12n^2-2n=12 *(2.5)^2-2*2.5=12*6.25-5=75-5=70$

$2n(6n-3)+4n$

substitute $n=2.5$

$2*2.5(6*2.5-3)+4*2.5=5(15-3)+10=60+10=70$

Mindy makes $3400 a month. She spends 30% of her money on her house payment, 20% on food costs, 25% on her car note, 10% on other bills, and the rest is spending money. How much spending money should she have?