2 years ago

Does the sum of the areas of the smaller Squares equal the area of the large squares

1 answer:

4 0

Not always. The side length matters. Bigger side lengths is bigger squares and smaller side length is smaller squares. So therefore the answer is no.

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Solve each of the following quadratic equations 3x=0.5x^2 0=5x^2-2x+6

UNO [17]

Question 1

$3x=0.5x^{2}\\\\6x=x^{2} \\ \\ x^{2}-6x=0 \\ \\ x(x-6)=0 \\ \\ \boxed{x=0, 6}$

Question 2

$0=5x^{2}-2x+6 \\ \\ x=\frac{2 \pm \sqrt{(-2)^{2}-4(5)(6)}}{2} \\ \\ x=\frac{2 \pm \sqrt{-116}}{10} \\ \\ x=\frac{2 \pm 2i\sqrt{29}}{10} \\ \\ \boxed{x=\frac{1 \pm i\sqrt{29}}{5}}$

6 0

1 year ago

What two numbers add to make twenty and have a difference of four?

lara [203]

The two numbers that add to make twenty and have a difference of 4 are 12 and 8

4 0

3 years ago

Read 2 more answers

Gary earns $12 an hour plus $16 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week

hoa [83]

Part A.

Amount of money earned = Regular rate per hour * Number of working hours

M = 12 x

Part B.

Amount of wages earned = Regular rate per hour * Maximum number of regular working hours + Overtime rate per hour * Excess working hours

T = 12 * 30 + 16 * y

T = 360 + 16 y

T = 16 y + 360

Part C.

Given T = 408, find y:

408 = 16 y + 360

y = 3 hrs

Therefore the total hours Gary worked that week is,

x + y = 30 + 3 = 33 hrs

(x = 30 since that is the maximum limit for regular working hours)

7 0

2 years ago

Which expression is equivalent to 2(x^2-1) + 3x(x-4) (please show work)

Tema [17]

Answer:

5x^2-12x-2

Step-by-step explanation:

Use distributive property, then add like terms. See file below for steps.

4 0

2 years ago

There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?

Nata [24]

4 buses you just divide 211 by 48

4 0

2 years ago