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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:

10 x 6 = 4

4 x 4 = 16

+

6 x 10 = 60

= 76 square cm.

Answer:

D

Step-by-step explanation:

Answer:

I belive the answer would be B

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

25 is the answer because the sum of angles add up to 90

Answer:

Decimal

Step-by-step explanation:

The 37 and the 2 is separated by that little dot called a decimal.

Answer:

37+2/10

Step-by-step explanation:

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

9514 1404 393

Answer:

  y = x + 4

Step-by-step explanation:

For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.

  y = x - 3 + x + 2 - x + 5

  y = x +4

Answer:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice

Step-by-step explanation:

Answer:

- 6°F

Step-by-step explanation:

Given :

Temperature at 6:00 = 15°F

Temperature dropped by 9°F by 8:00

Temperature by 8:00 = 15°F - 9°F = 6°F

Temperature dropped another 12°F by 11:00

Hence, Temperature at 11:00 will be :

6°F - 12°F = - 6°F

Temperature at 11:00 = - 6°F

Answer:

a) No

b) No

c) No

d) Yes

Answer:

volume = 308 units^3

surface area = 298 units^2

Answer:

10494

Step-by-step explanation:

trust

Answer: B / 2,6,10,14,18

Step-by-step explanation:

you were given the equation next input 1 for n.

Solve and a = 2

Then you input 2 for n. Solve and you get a =6.

Do  this up until you get to 5.

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:

254.469 meters

Step-by-step explanation:

A = πr² = π · 9² ≈ 254.469

↓

254.469 meters

Answer:

1755.98

Step-by-step explanation:

1755.97809915

1 cent is 1 hundredth of a dollar, so to round to the nearest cent means to round to the nearest hundredth.

The 7 in boldface is the hundredths place.

Drop all digits to the right of the 7.

1755.97

dropped digits: 809915

Look at the leftmost digit that was dropped (in boldface). If it is from 0 to 4, you are done, and the answer is 1755.97. If the leftmost digit that was dropped is from 5 to 9, the hundredths digit goes up by 1. Here, the first digit that was dropped is an 8, so the 7 in the hundredth place goes up 1 to 8.

Answer: 1755.98

Answer:

1/4

Step-by-step explanation: Slope is Rise over run you go up one and over four, so the slope is 1/4

Answer:

d = 200

Step by Step Explanation:

Answer:

the best anime is death note.

Step-by-step explanation:

Answer:

My hero Achadamia is my fav. um Attack of the titan Black Clover and Fruits basket thats all i can name lol

Step-by-step explanation:

Answer:

-9a - 36

Step-by-step explanation:

Step-by-step explanation:

I m not sure but I think this is the answer

The person who paints more is given by the inequality equation 3/5 >  4/7

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of canvas be 35 ( LCM of 5 and 7 )

Now , when you divide 35 into 5 sections and paints 3 of them ,

The fraction A = 3/5

And , when your friend divide 35 into 7 sections and paints 4 of them

The fraction B = 4/7

And , the inequality equation is A > B

Substituting the values in the equation , we get

3/5 > 4/7

Hence , the one who paints more is you with 3/5 of the canvas

To learn more about inequality equations click :

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Answer:

its c

Step-by-step explanation:

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

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:

that looks like 50 degrees to me

Step-by-step explanation:

hope i helped have a great day!!!

An expression is defined as a set of numbers, variables, and mathematical operations. The expression can be written in the form of 2ⁿ as 2⁴.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression can be rewritten as,

[tex]\dfrac{2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2}{2 \cdot2 \cdot2 \cdot2} = \dfrac{2^8}{2^4} = 2^{8-4} = 2^4[/tex]

Hence, the expression can be written in the form of 2ⁿ as 2⁴.

Learn more about Expression:

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