What is the length, in centimeters, of the hypotenuse of a right triangle with legs measuring V2 cm and 3 cm?​

Answer:

[tex] \displaystyle ( x_{1},y_{1}) = (0.82, - 3.18) \\ ( x_{2},y_{2}) = ( - 0.82, - 4.82)[/tex]

Step-by-step explanation:

we are given a system of quadratic and linear equation

we want to figure out x and y

in other words the coordinates where the linear function intercept quadrilateral function

to do so

you can use substitution method

since y equals to both equation so substitute:

[tex] \displaystyle {3x}^{2} + x - 6 = x - 4[/tex]

move right hand side expression to left hand side and change its sign so there's only 0 left on the left hand side:

[tex] \displaystyle {3x}^{2} + x - 6 - x + 4= 0[/tex]

simplify addition:

[tex] \displaystyle {3x}^{2} -2=0[/tex]

add 2 to both sides:

[tex] \displaystyle {3x}^{2} = 2[/tex]

divide both sides by 3

[tex] \displaystyle \frac{ {3x}^{2} }{3} = \frac{2}{3} [/tex]

[tex] \displaystyle {x}^{2} = \frac{2}{3} [/tex]

square root both sides:

[tex] \displaystyle {x} = \sqrt{\frac{2}{3} } \\ x = \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]

rationalise the denominator by multiplying √3/√3:

[tex] \displaystyle x = \pm\frac{ \sqrt{6} }{3} = \pm0.82[/tex]

now let's figure out y

substitute the value of x to the linear equation:

[tex]y = \pm0.82 - 4[/tex]

when positive

[tex]y = - 3.18[/tex]

when negative

[tex]y = - 4.82[/tex]

Answer:

(x1,y1) = (0.82, - 3.18)

(x2,y2) = (-0.82, -4.82)

Step-by-step explanation:

Plato gang

Answer:

the error is between steps 2 and 3. you cannot add 5x and 3. if a value has an x attached, then you can only add values that also have that variable attached. hopefully that made sense, lmk if you need more explaining :)

Step-by-step explanation:

sir........you gucci?

Answer:

1/12

Step-by-step explanation:

Answer:

a) No

b) No

c) No

d) Yes

Answer:

217 feet

Step-by-step explanation:

tan(14) = x/30

=> x = 30tan(14)

=> x = 217 feet

Answer:

x = 7

Step-by-step explanation:

tan(14) = x/30

x = (30)tan(14)

x=7

Answer:

14

Step-by-step explanation:

The answer is D.

Center is (-3, 5) and Radium is 5

Answer:

$240

Step-by-step explanation:

Given data

Principal= $300

Rate= 10%

Time= 8 years

We know that the expression for the simple interest is given as

SI= PRT/100

Substitute

SI= 300*10*8/100

SI= 24000/100

SI= $240

Hence the interest is $240

The x variable is for the number of books she buys to read so when x is 0!the cost would be what she paid for the reader.

The answer is B. The cost of the reader

Answer:

i think is either the first one or the last one.

i think it's one of those

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3/8, - 3/4, - 3, - 2. 5, 1/4, 8/5 3.1, 6

Answer:

5

Step-by-step explanation:

49/9 = 5

Answer:

41 ft

Step-by-step explanation:

We can start by first finding the area of the top square

3*3=9

then we can find the area of the bottom rectangle

4*8=32

then we can add them together

32+9=41

Can I have Brainliest please :)

Answer:

53 [tex]ft^2[/tex]

Step-by-step explanation:

We can find the area of the figure by adding the areas of the square and the rectangle.

Area of square:

3 x 3 = 9 squared ft

Area of rectangle:

4 x (8 + 3) = 4 x 11 = 44

Add the areas:

9 + 44 = 53

The area of the figure is 53 squared feet.

Answer:

50.24

Step-by-step explanation:

a=(pi)r²

A =(pi)4²

A = 50.27

but I used the actual pi if you use 3.14 I think you'll get 50.24 but that's the closest answer.

Hope you get it right

The requried most appropriate domain for the function P(h) would be the set of all non-negative real numbers. The domain is b, all positive real numbers.

The domain is defined is a set of values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

The function P(h) = 2h - 15 represents the profit a company makes selling h hot dogs. In general, the domain of a function represents the set of all possible input values for which the function is defined.

In this case, the function can be defined for any non-negative value of h, since the company can sell any number of hot dogs, including zero. However, the function may not be defined for negative values of h, since it does not make sense to talk about selling a negative number of hot dogs.

Learn more about the domain here:
https://brainly.com/question/28135761
#SPJ2

Answer:

don't click or open people links here they are people trying to get info off of you for their benefits or trying to give you viruses. report them.

The height of the trapezoid has a length of 4 units

From the question, we are to determine the height of the trapezoid

The area of a trapezoid can be calculated by the formula,

[tex]A = \frac{1}{2}(a+b) h[/tex]

Where A is the area

a and b are the bases

and h is the height

The median of a trapezium is given by

[tex]\frac{1}{2} (a+b)[/tex]

From the given information,

A = 96 square units

[tex]\frac{1}{2}(a+b) = 24 \ units[/tex]

Putting the parameters into the formula,

96 = 24 × h

h = 96 ÷ 24

h = 4 units

Hence, the height of the trapezoid has a length of 4 units

Learn more on Calculating the sides of a trapezium here: https://brainly.com/question/369033

Answer: 30

Step-by-step explanation:

the formula for the area of a triangle is base times height divided by 2

A=bh/2

the base in this triangle is 15 and the height is 4

(15)(4)/2

60/2

30

Question:

If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.

Coin wrapper volume = 27,480 mm^3

Coin diameter = 21.18 mm

Answer:

The thickness of a coin is: 1.95mm

Step-by-step explanation:

Given

[tex]V = 27480mm^3[/tex] -- volume

[tex]d = 21.88mm[/tex] --- the diameter

Required

The thickness of each coin

This implies that, we calculate the height of each coin.

First, calculate the radius (r) of the coin

[tex]r = \frac{1}{2}d[/tex]

[tex]r = \frac{1}{2} * 21.18mm[/tex]

[tex]r = 10.59mm[/tex]

The volume of the coin is calculated as:

[tex]V =\pi r^2H[/tex]

Where H represents the total heights of the 40 coins

[tex]27480 = 3.14 * 10.58^2 * H[/tex]

Solve for H

[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]

[tex]H = \frac{27480 }{ 351.480296}[/tex]

[tex]H = 78.1836145944[/tex]

The height of a coin is calculated by dividing H by 40

[tex]h = \frac{78.1836145944}{40}[/tex]

[tex]h = 1.95459036486[/tex]

[tex]h \approx 1.95mm[/tex]

Hence, the thickness of a coin is: 1.95mm

Answer:

Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D

Step-by-step explanation:

Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

3(x-6)=2x(x+3)

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

Answer:

6x²

Step-by-step explanation:

3x×2x=6...... then an x²

Therefore answer is 6x²

Answer:

0.8

Step-by-step explanation:

20/25=80/100=0.8

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer: 80ft squared

Step-by-step explanation: 18 * 4 + 8 = 80