what is the slope of the line that contains the points (-2,6) and (2,-2)

[tex]\bf{1) \ x^4-61x^2+900=0 }[/tex]

Applying the factorization method, for example:

      [tex]\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}[/tex]

               [tex]\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }[/tex]

              [tex]\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }[/tex]

[tex]\bf{2) \ x^4-25x^2+144=0 }[/tex]

Applying the factorization method:

          [tex]\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }[/tex]

             [tex]\bf{ =(x-4)(x+4)(x-3)(x+3); }[/tex]

            [tex]\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }[/tex]

Answer:

0.6063

Step-by-step explanation:

Just substitute in the binomial probability formula from 4 successes until 6 successes.

Answer:

maybe        3

              2

Step-by-step explanation:

Answer:

D. 36.75-3x

Step-by-step explanation:

You have a total amount of 36.75.

Since you are spending money you need to subtract.

We know that Marshall buys 3 tickets.

We also know that 'x represents the amount of a single ticket.

Remember that they are asking you for an algebraic expression and not an equation.

So you need to take away from your total, 36.75. And since you plan on buying three tickets and aren't given the amount x it leaves you with taking 3x from your total 36.75 or an other words

D. 36.75 - 3x

Answer:

I would have 360000.

Step-by-step explanation:

250 (the amount of money I earned) x 60(as in 60 mins in a hour) and 24(as in 24 hours a day) equals 360000 total.

[tex]2ay + 3az = 2dx + 3dy[/tex]

[tex]2ay - 3dy = 2dx - 3az[/tex]

[tex]y(2a - 3d) = 2dx - 3az[/tex]

[tex]y = \frac{2dx - 3az}{2a - 3d} \\ [/tex]

Answer:

x=1/4

Step-by-step explanation:

4x - 1 = 0 /+1

4x = 1 /:4

x= 1/4

Answer:

it is 65 byeeeeeeeeeeeeeeeeee

Answer:

well total surface area of this prism is sum of area all sides of prism.

therefore 170 + 170 + 160 + 120 + 120 = 740m²

Therefore total surface area is 740m² i didn't give explanation since you said you don't need it.

By : Modern Einstein

Step-by-step explanation:

hope u understand......

If the discount is 75% so the new price of the product will be 0.25P.

Discount is the reduced amount on the MRP of any product. So we will give the less amount then the MRP of the product.

Here the discount on P is given as 75% so the price of the product now becomes P-0.75P;

The expression will be calculated as:

P-0.75P=0.25P

Hence If the discount is 75% so the new price of the product will be 0.25P.

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The distance between your house and the subway stop is 6 units

The coordinates are given as:

The distance between both points is calculated using:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]d = \sqrt{(-7 + 3)^2 + (2 - 6)^2}[/tex]

Evaluate

d = 6 (approximated)

Hence, the distance between your house and the subway stop is 6 units

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Answer:

15%

Step-by-step explanation:

Take 9 and divide that by 60.

The remainder of the given expression will be 66.

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic.

The given polynomlal x⁴+3x³-6x²-12x-8 will be divided by x-3 so we need to find the remainder:-

x-3) x⁴+3x³-6x²-12x-8 ( x³-6x²+12x+24

      x²-3x³

    _______________

            6x³-6x²-12x-8

            6x³-18x²

________________________

                   12x²-12x-8

                   -12x²-36x

  _____________________

                            24x-8

                            24x-72

_______________________

                                    66

Hence the remainder of the given expression will be 66.

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[tex]~~~~~x(x+1)(x-2)^2 =0\\\\\implies x = 0~~ \text{or}~~ x +1 = 0~~ \text{or}~~ (x-2)^2 = 0\\\\\implies x = 0, ~ x = -1 , ~x=2\\\\\text{Hence the roots are}~0,-1 ,~2[/tex]

The given function 9.1% of 80 is the closest to the number which is approximate 7.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

We have to find that 9.1% of 80 is the closest to which number.

[tex]\dfrac{9.1}{100} \times 80\\\\= 0.91 \times 8\\\\\= 7.28[/tex]

Hence, The given function 9.1% of 80 is the closest to the number which is approximate 7.

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The probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A jar contains four black buttons and three brown buttons. The total number of buttons is,

[tex]4+3=7[/tex]

The probability of picking a black button in the first attempt is,

[tex]P_1=\dfrac{4}{7}[/tex]

Now, there is total 6 buttons remain in which 3 are black buttons. Thus, the probability of picking black button in second attempt is,

[tex]P_2=\dfrac{3}{6}[/tex]

Similarly, for the third event,

[tex]P_3=\dfrac{2}{5}[/tex]

For the fourth event,

[tex]P_4=\dfrac{1}{4}[/tex]

The probability that all of them are black by the chain rule of probability,

[tex]P=\dfrac{4}{7}\times\dfrac{3}{6}\times\dfrac{2}{5}\times\dfrac{1}{4}\\P=\dfrac{1}{35}[/tex]

Thus, the probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.

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Answer:

Perimeter: 26.43 m

Area: 27.99 sq m

Step-by-step explanation:

To find the perimeter we just add all the sides, 11.1+9.33+6 = 26.43

To find the area of a triangle, we use the formula we do (bh)/2

9.33 * 6 = 55.98

55.98 / 2 = 27.99

Hope this helped you! I would appreciate a Brainliest if this helped you a lot! Thank you, and have a good day!

Answer:

We first need to determine the perimeter of the triangle which is done by adding up all of the sides.  When combining [tex]11.1\ m[/tex], [tex]9.33\ m[/tex], and [tex]6\ m[/tex] we get a final answer of [tex]26.43\ m[/tex] as the perimeter of the triangle.

The second part that we need to determine is the area of the triangle which is done by using [tex]A=\frac{1}{2}*b*h[/tex].  In this example our base is [tex]6\ m[/tex] and our height is [tex]9.33\ m[/tex].  So when inputting those values into our area equation, we get [tex]A=27.99\ m^2[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

x = 112°

Step-by-step explanation:

This figure shown is a pentagon. The total sum of degrees in a pentagon equals to 540° according to the formula (n - 2)180° where n is the number of sides. (5 - 2)180° = 3 × 180° = 540°.

To find x, we need to subtract all the given angles from 540°.

x = 540° - 130° - 118° - 105° - 75° = 112°

Answer:

x = 112°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540°

105° + 118° + 75° + 130° = 540°

428° + x = 540° ( subtract 428° from both sides )

x = 112°

Answer:

3 [tex](\frac{5}{6}) ^{4}[/tex]

Step-by-step explanation:

each post is [tex]\frac{5}{6}[/tex] the height of the previous post

there are 4 poles between the tallest 3 ft and the smallest

this involves multiply the heights of previous poles by [tex]\frac{5}{6}[/tex] , 4 times

shortest pole = 3 × [tex](\frac{5}{6}) ^{4}[/tex]

Answer:

(A) Linear positive association

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

a)2975

b)3450

Step-by-step explanation:

Answer:

32.078

Step-by-step explanation:

Basically, all you want to do is write it all down on a paper, biggest number to smallest number, then you want to add all the places up, tens, hundreths, and ones. This works with every decimal based question.

Since the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.

The equation which have a degree of one will be called as the linear equation the graph of the equation will be always a straight line.

Here we have the equation:

x-5=-5+x

or

x-5=x-5

Here we can see that the ratios are same:

[tex]\dfrac{a_1}{b_1}=\dfrac{a_2}{b_2}\\\\\\\\\dfrac{1}{-5}=\dfrac{1}{-5}[/tex]

So the equations will be coincident to each other or line one will coincide with line 2. Hence the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.

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Answer:

Radiation is the emission and propagation of energy in the form of waves, rays or particles

Step-by-step explanation:

Answer:

1 over 4,989,600 That's the answer yw btw

Answer:

Step-by-step explanation:

Keep going I believe in you!

Answer:

∠B=19°

Step-by-step explanation:

At the endpoints of a diameter, angle c meets the circle. It intercepts a 180-degree arc.We know that the measure of C is 90 degrees because the measure of an inscribed angle is half the measure of its intercepted arc. Angles of triangle of ABC must add up to 180.

m∠A+m∠B+m∠C= 180°

71°+m∠B+90°=180°

m∠B+161°=180°

m∠B=19°

The rectangle maximum area will be A=9 square units with the length=3 and the width=3.

Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.

It is given that the perimeter of rectangle is P=12

So from the formula of perimeter of rectangle

2(L+W)=12

L+W=6

L=6-W

Now the area of rectangle will be

A=LxW

A=(6-W)W

Now for maximum area we will find the derivative and equate to zero.

[tex]A=(6W-W^2})[/tex]

[tex]A'=6-2W=0[/tex]

[tex]W=3[/tex]

[tex]L=6-W=6-3=3[/tex]

So the area will be

[tex]A=3\times 3=9 \ square \ units[/tex]

Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.

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Answer:

60.

Step-by-step explanation:

The second digit is 6, so we round up the first digit and add training zero. There is no need to add the '00' after the decimal point.

The operation that should be completed first to find the value of the expression is 6 - 3

The equation is given as:

12 + 30 = (6 - 3) +1

By the rule of BODMAS, the first expression that should be evaluated is the expression in the bracket

This means that we solve for 6 - 3, first.

Hence, the operation that should be completed first to find the value of the expression is 6 - 3

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