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3 years ago

From the sum of 3a^2−ab−2b^2 and 2a^2+5ab−3b^2 subtract a^2−3ab−4b^2

1 answer:

3 0

$(3a^2-ab-2b^2) + (2a^2+5ab-3b^2) - (a^2-3ab-4b^2)$

First we distribute the negative throughout the last polynomial:

$(3a^2-ab-2b^2) + (2a^2+5ab-3b^2) + (-a^2+3ab+4b^2)$

Combine like terms:

$4a^2 + 7ab - b^2$

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Find the area of the shaded region. Round your answer to the nearest tenth if needed. 2B

SCORPION-xisa [38]

Answer:

The area of the park is calculated through the equation,

A = 0.5ab(cos C)

Substituting the given above,

A = 0.5(533 ft)(525 ft)(cos 53°)

A = 84201.44 ft²

2. We find the radius of the second figure by the equation,

r = C / 2π

Substituting,

r = (30 in) / (2π) = 4.77 in

The radius of the first one is 9 inches. Getting the difference of these two figures will give us an answer of 4.225 inches.

Thanks Useless

ansverwinterblanco

Diameter of the basketball rim = 18 inches

Circumference of the basketball = 30 inches

You would have to fin the area so= pi*r^2

Basketball rim = 3.14 * (18/2)^2 = 3.14 * 9^2 = 3.14 * 81 = 254.34 in^2

The find the Circumference so= 2*pi*r

30 = 2*3.14*r

r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches

basketball = 3.14 * (4.78)^2 = 3.14 * 22.85 = 71.75 in^2

254.34 - 71.75 = 182.59 in^

4 0

2 years ago

What is the distance between points (-23. 17) and (-3, -4)

Lelechka [254]

Here is the work to go with the answer it is hard to completely type out hope it helped!

5 0

3 years ago

When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.

Juliette [100K]

$x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0$

$Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution$

$x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \ 0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \ 0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \ 0$

$Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}$

6 0

3 years ago

Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%

bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

a. convert the raise as a percent into a decimal, then add 1

20% = 0.2

0.2 + 1 = 1.2

b. multiply the number by the original salary

1.2 * 1500

1800

8 0

3 years ago

Read 2 more answers

What is the measure of tje fourth angle of the quadrilateral

grin007 [14]

37 would be the answer.....

5 0

3 years ago