the temperature was 80degrees F and then fell 20 degrees F. draw a diagram to represent.​

9514 1404 393

Answer:

  -5x^4 +6x^3 -x +3

Step-by-step explanation:

First, eliminate parentheses.

  (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

  = -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2

Then collect terms.

  = -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3

  = -5x^4 +6x^3 -x +3

The measure of z in its simplest form is 3√11

We solve the triangle using pythagoras' theorem.

Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.

So, according to Pythagoras' theorem,

c² = a² + b²

Since we have three right angled triangles, in the smallest right angled triangle, we have

z² = y² + 3²  (1)

In the next larger right angled triangle, we have

x² = y² + 27² (2)

In the largest right angled triangle, we have

(3 + 27)² = z² + x²

30² = z² + x² (3)

Substituting (2) into (3), we have

30² = z² + x²

30² = z² + y² + 27²

30² - 27² = z² + y²

900 - 729 = z² + y²

171 = z² + y²

z² = 171 - y² (4)

Equating (1) and (4), we have

y² + 3² = 171 - y²

y² + 9 = 171 - y²

y² + y² = 171 + 9

2y² = 180

y² = 180/2

y² = 90

Substituting y² into (1), we have

z² = y² + 3²

z² = 90 + 9

z² = 99

z = √99

z = 3√11

So, the measure of z is 3√11

Learn more about pythagoras' theorem here:

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Answer: first answer 3, 2nd answer 10.

Step-by-step explanation:

I just did the question on acellus

Answer:

$20.00

Step-by-step explanation:

Equation:

A = P(1 + rt)

convert R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Putting time into years for simplicity,

20 months / 12 months/year = 1.666667 years.

sol.

A = 200(1 + (0.06 × 1.666667)) = 220.000004

A = $220.00

The total amount accrued, principal plus interest, from simple interest on a principal of $200.00 at a rate of 6% per year for 1.666667 years (20 months) is $220.00.

Interest: $20.00

Answer:

28.3, 28 1/3, 25 1/4, 5v25

Step-by-step explanation:

Answer:

I think it is d or a. I might be wrong sorry

Step-by-step explanation:

Answer:

Mercury's temperature > Mars' temperature

Step-by-step explanation:

The average surface temperature on Mercury is 167 degrees C, and the average surface temperature on Mars is -65 degrees C. 167 is greater than -65, so Mercury > Mars.

Answer:

[tex]7[/tex]

Step-by-step explanation:

We see that the circle is centered at [tex](1, 0)[/tex]. We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.

We know that the circle intersects the x-axis at [tex](8, 0)[/tex]. Therefore the radius of the circle is the distance between these points, in this case [tex]8-1=7[/tex].

So, the answer is [tex]\boxed{7}[/tex] and we're done!

9514 1404 393

Answer:

Step-by-step explanation:

When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.

Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...

we can define ...

  D = (ae -db)

Then the values of x and y are ...

  x = (ce -gb)/D

  y = (ag -dc)/D

The attached spreadsheet implements these equations to find the values of x and y.

__

The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:

  x -4y = -5

_____

Additional comment

Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...

  [tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]

and the output matrix will look like ...

  [tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]

Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.

Answer:

60°

Step-by-step explanation:

1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.

Therefore, ∠L is 60°.

Answer:

The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%

Answer:

Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.

Step-by-step explanation:

Answer:

(1) = 1

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

First point : (0, -3)

Second point : (2, 0)

Y-intercept : -3

Step-by-step explanation:

To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.

1.) 3x - 2y = 6

2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)

3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)

Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.

1.) 3x - 2(-3) = 6

2.) 3x + 6 = 6 (multiply (-2) and (-3))

3.)3x = 0 (subtract 6 on both sides using inverse operations)

4.) x = 0

Now you have your first point which is (0, -3)!

To get your last point, just substitute your y coordinate from the original equation to get x.

1.) 3x - 2(0) = 6

2.) 3x - 0 = 6

3.) 3x = 6

4.) x = 2

Then, substitute the x coordinate from above in the original equation to get the y coordinate.

1.) 3(2) - 2y = 6

2.) 6 - 2y = 6

3.) -2y = 0

4.) y = 0

Second coordinate : (2, 0)

I hope this explanation was helpful!

Answer:

praktik ko yctgv hujan hu bule

Answer:

id go with B.

you'd get a mix because its bound to happen.

Answer:

$134.71

Step-by-step explanation:

A = P(1 + rt)

A = Amount after t months or years

P = Principal or amount saved

r = interest rate = 5.18% = 0.0518

t = time.in years = 18 months

= 1 year and 6 month

= 1.5 year

A = $125( 1 + 0.0518 × 1.5)

A = $125 ( 1 + 0.0777)

A = $125(1.0777)

A = $134.71

Answer:

You would have 10 more legos than your sister.

Step-by-step explanation:

20-10=10

Answer:

Let the number be x. Then, 4/5x - 3/4x = 4. Hence, The required number is 80.

Step-by-step explanation:

Let the number be x.

According to the question, lets form an equation

5

4x −4

3x +4

⇒ 5 4x − 4

3x =4

20

16x − 15x​ =4

⇒ 20x =4

⇒ x=4×20

⇒x=80

∴ The number is x=80.

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Answer:

  no

Step-by-step explanation:

The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.

Answer:

C. 15

Step-by-step explanation:

Graph shows the point to 5.

Says " Chocolate in 3 Box"

5*3=15

Hope this help!

Answer:

c15

Step-by-step explanation:

Answer:

2 3/5

Step-by-step explanation:

7 2/5 decreased by 4 4/5, Is the same as 7 2/5 - 4 4/5, which equals to 2 3/5.

Answer:

(0, 6)

Step-by-step explanation:

5, 7

x, y

 5, 7

-5 -1

---------------

0,6

Answer:

12

Step-by-step explanation:

4(1)+2(1)”3+7(1)”2-1

4+2+7-1

12

wait if x=-1 it’s zero

Answer:

1. [tex]8x\sqrt{yz\\}[/tex]   2.[tex]8xy\sqrt{xz}[/tex]   3.[tex]4x^{2}yz\sqrt{y}[/tex]     4.[tex]7yz\sqrt{xz}[/tex]

Step-by-step explanation:

Answer:

28 / 4 = -7.v

Step-by-step explanation:

Answer:B

Step-by-step explanation:

All other equations solve for Y

Answer:

905,600 visitors

Step-by-step explanation:

added each number up and divided them by 5 (the total number of websites) to get 905,600