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3 years ago

Find all solutions to (x+5)(2x-3). Explain or show your reasoning.

1 answer:

8 0

First you do x multiply 2x to get 2x^2
then you do x multiply-3 to get -3x
then 5 multiply 2x so you get 10x
then you do 5 multiply-3 to get -15

then you join it together to get
2x^2+10x-3x-15
then simply to get 2x^2+7x-15
and that should be your answer

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5n(3n-n+8) slove it please

lozanna [386]

Hey there! :)

5n(3n - n + 8)

Simplify.

(5n × 3n) + (5n × -n) + (5n × 8)

Simplify.

(15n²) + (-5n²) + (40n)

Remove parenthesis

**Remember : a negative times a positive is always a negative, a positive times a positive is a positive, and a negative times a negative is a positive**

15n² - 5n² + 40n

Combine like terms.

(15n² - 5n²) + 40n

Simplify.

10n² + 40n → final answer :)

~Hope I helped!~

4 0

4 years ago

Which function is the inverse of f(x) = -5x-4

zalisa [80]

Answer:An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing.

Step-by-step explanation:

3 0

4 years ago

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33% of what number is 1457

MrRa [10]

Answer:

4,415.1515...

Step-by-step explanation:

To find the value of the number that 1457 is 33% of, we can change the percentage into a decimal then divide.

33% = 0.33

1457 / 0.33 = 4,415.1515...

Best of Luck!

6 0

3 years ago

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If the hypotenuse of a right triangle has length 9 feet and one of the other sides has length 2 feet, what is the length of the

alex41 [277]

Hypotenuse=H=9ft
Base=B=2ft

Apply Pythagorean theorem

P²=H²-B²
P²=9²-2²
P²=81-4
P²=77
P=√77

Option D

4 0

2 years ago

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Determine the coordinates of the vertices of the triangle to compute the area of the triangle using the distance formula (round

Karo-lina-s [1.5K]

Answer:

1. D. $50\text{ units}^2$

2. D. 45 units.

Step-by-step explanation:

We have been two graphs.

1. To find the area of our given triangle we will use distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of base line of our triangle we will get,

$\text{Base length of triangle}=\sqrt{(15-5)^2+(5-15)^2}$

$\text{Base length of triangle}=\sqrt{(10)^2+(-10)^2}$

$\text{Base length of triangle}=\sqrt{100+100}$

$\text{Base length of triangle}=\sqrt{200}$

$\text{Base length of triangle}=10\sqrt{2}$

Now let us find the height of triangle similarly.

$\text{Height of triangle}=\sqrt{(20-15)^2+(10-5)^2}$

$\text{Height of triangle}=\sqrt{(5)^2+(5)^2}$

$\text{Height of triangle}=\sqrt{25+25}$

$\text{Height of triangle}=\sqrt{50}$

$\text{Height of triangle}=5\sqrt{2}$

$\text{Area of triangle}=\frac{\text{Base*Height}}{2}$

$\text{Area of triangle}=\frac{10\sqrt{2}*5\sqrt{2}}{2}$

$\text{Area of triangle}=\frac{50*2}{2}$

$\text{Area of triangle}=50$

Therefore, area of our given triangle is 50 square units and option D is the correct choice.

2. Using distance formula we will find the length of large side of triangle as:

$\text{Large side of rectangle}=\sqrt{(14-1)^2+(21-8)^2}$

$\text{Large side of rectangle}=\sqrt{(13)^2+(13)^2}$

$\text{Large side of rectangle}=\sqrt{169+169}$

$\text{Large side of rectangle}=\sqrt{338}$

$\text{Large side of rectangle}=13\sqrt{2}$

$\text{Small side of rectangle}=\sqrt{(4-1)^2+(5-8)^2}$

$\text{Small side of rectangle}=\sqrt{(3)^2+(-3)^2}$

$\text{Small side of rectangle}=\sqrt{9+9}$

$\text{Small side of rectangle}=\sqrt{18}$

$\text{Small side of rectangle}=3\sqrt{2}$

$\text{Perimeter of rectangle}=2(\text{Length + Width)}$

$\text{Perimeter of rectangle}=2(13\sqrt{2}+3\sqrt{2}}$

$\text{Perimeter of rectangle}=2(16\sqrt{2}}$

$\text{Perimeter of rectangle}=32\sqrt{2}$

$\text{Perimeter of rectangle}=45.2548339959390416\approx 45$

Therefore, the perimeter of our given rectangle is 45 units and option D is the correct choice.

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4 years ago

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