Help very much needed 30 points.

The answers will be :

a. The equation of perpendicular bisector of QR is y = [tex]\frac{-5}{3}[/tex] x + 3.

b. The slope of median of triangle passing through point R is 1/4.

c. The slope of the altitude of the triangle that passes through point R doesn't exists.

What is slope of a line segment ?

Slope is the ratio of the difference in y-coordinates over the equivalent x-coordinates between two different locations on a line.

It is given that the vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).

a.

The midpoint (M) of QR will be equal to

( [tex]\frac{-2 + 8}{2} , \frac{-5 + 1}{2}[/tex] )

or

M = (-3 , 2)

Now , slope of line QR will be ;

[tex]m_{QR}[/tex] = [tex]\frac{1+5}{8+2}[/tex]

[tex]m_{QR}[/tex] = 6 / 10

We know that :

m × [tex]m_{QR}[/tex] = -1

m = -10 / 6

or

m = -5 / 3

Equation of line will be given as :

y + 2 = [tex]\frac{-5}{3}[/tex] ( x - 3 )

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

b.

The midpoint of PQ will be :

= ([tex]\frac{-6 - 2}{2} , \frac{1 - 5}{2}[/tex])

= ( -4 , -2)

The slope of median of triangle that passes through point R will be ;

m = [tex]\frac{-2 - 1}{-4-8}[/tex]

m = -3 / -12

m = 1/4

or

m = 0.25

c.

Slope of altitude of triangle that passes through point Q will be :

m = [tex]\frac{1 - 1}{-6-8}[/tex]

m = 0 / -14

m = 0

The slope in this case doesn't exist.

Therefore the answers will be :

a. The equation of perpendicular bisector of QR is y = [tex]\frac{-5}{3}[/tex] x + 3.

b. The slope of median of triangle passing through point R is 1/4.

c. The slope of the altitude of the triangle that passes through point R doesn't exists.

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Answer:

Step-by-step explanation:

Answer:

a)56,152.5

b)40.2%

c)10.87%

Step-by-step explanation:

a) $63,000-$6,847.5=$56,152.5

b) marginal tax rate of a $63,000 income is 40.2%

c) 6,847.5 is 10.869047619% of 63,000 but it has to be to nearest hundreth so it is 10.87% because the thousandths place is a 9 so you round up to 10.87%.

Answer:Solution

Result will not divisible by 3

5

3

×2−8=250−8=242

If we divide 242 by 3 it will leave reminder 2.

Step-by-step explanation:

The equation is given by A = n³ - 8 , where n is a number

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as n

A = 8 is subtracted from the cube of a number

Substituting the values in the equation , we get

A = n³ - 8   be equation (1)

Now , when 8 is subtracted from twice the cube of 5 , the result is not divisible by 3

So , A = 2 x 5³ - 8

A = 242 which is not divisible by 3

Hence, the equation is A = n³ - 8

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The domain is (-2, -4] and the range is (3 , -5) .

The domain of a function is the set of values that we are allowed to plug into our function.

As, the graph stretches from -2 to -4.

and, it is also defined at (-2)

So, the domain is (-2, -4]

Range is height of the graph.

The smallest value is -3 and highest value is 5.

So, the range is (3 , -5)

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Answer:

9:30 p.m.

Step-by-step explanation:

Starting at noon (12:00 p.m.) the temperature is 5 degrees Celsius and drops 2 degrees every hour. In the attached image I have drawn it out to better see it.

Starting at noon and subtracting 2 every hour gives us…
12:00=5

1:00 = 3
2:00 = 1

3:00 = -1

(And so on until we get)

9:00= -13 degrees

So how do we get to 14 if it is dropping 2 degrees an hour? Simple! How much does it drop every half hour? 1 degrees! So for ever 30 minutes the temperature drops 1 degrees.

This means that at 9:30 the temperature will be -14 degrees Celsius.

It will take the painter more than 40 hours to paint all 20 rooms in stately wayne manor .

Time taken for the first 3 rooms =9hrs

Learning curve rate = 85%

Time taken for the next 20 rooms =?

Time taken for 1 room = 9hrs / 3 rooms = 3 hrs

If it takes 3 hrs to paint 1 room

Therefore, it will take x hrs to paint 20 rooms would take;

Hence, 20 rooms multiplied 3 hrs = 60 hours

It may take 60 hours to complete painting the 20 rooms.

At a learning curve rate of 85%, 15% will be the progress rate

Therefore, it will take additional 15% of 60 hours to paint the 20 room.

60+9(15% of 60) =69 hours

The painter would take more than 40 hours to paint the 20 rooms given his efficiency and learning curve rate.  The answer is derived by relating the data provided in the question to the desired answer.

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Expand using which formula? If it is using Sum/Difference Formulas, the expanded solution would be:

Solution:

[tex]z^3-17z^2+78z-54[/tex]

Hope this helps!

Answer: 69

Step-by-step explanation:
34
+
35
=
69

Answer:

69

Step-by-step explanation:

30 + 30 = 60

4 + 5 = 9

60+9= 69

Basic addition, also can be solved with a calculator

Hope this helped :)

Answer:

Step-by-step explanation:

a) You can calculate by multiplying the decimal numbers-

  4.3 x 6 = -25.8

-25.8 = The sum of the rational numbers

b) You multiply -4.5 by 5 to get the sum of the first 5 numbers-

 -4.5 x 5 = -22.5a

Then you subtract -22.5 from -25.8

 -25.8 - (-22.5) = -3.3 --------------- -25.8 + 22.5 = -3.3

So, the sixth number is -3.3

Answer:

a^3-64b^3

Step-by-step explanation:

(a-4b)(a^2+4ab+16b^2)

Multiply.

(a-4b)(a^2+4ab+16b^2)=

=a^3 + 4a^2b+16ab^2-4a^2b-16ab^2-64b^3

Combine like terms.

a^3 + 4a^2b+16ab^2-4a^2b-16ab^2-64b^3=

=a^3-64b^3

Hope this helps!

Please mark as brainliest if correct!

12 yards

Step-by-step explanation:

18 ÷ 6=3

3 × 3=12

12 yards lost after 18 minutes

If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.

Probability is that branch of mathematics that deals with the numerical description of the possibility of an event to occur. The probability of any event is a number between 0 and 1 where 0 represents the impossibility of the event to occur while 1 represents certainty of that event to occur.

As the probability of the job a and job b are independent of each other, the probability that both jobs will be offered can be determined by using the formula;

P(A∩B) = P(A) × P(B)

Here, P(A∩B) represents the probability of both the events happening together

As P(A) = 0.25

P(B) = 0.20

P(A∩B) = 0.25 × 0.20

P(A∩B) = 0.05

Hence, the probability that both jobs will be offered is calculated to be 0.05.

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The commutative property for addition just means the sum is the same no matter what order you add the terms. This property is also true for multiplication of real numbers.

If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics. Numerous binary operations depend on it as a fundamental property, and numerous mathematical arguments.

A commutative property in mathematics states that if integer positions are switched around or combined while performing addition or multiplication operations, the result will remain the same.

According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. For addition and multiplication, the property is true, but not for division or subtraction.

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Answer:

-7 < -4

Step-by-step explanation:

Answer:

i THINK im not sure but i think its C please let me know if im wrong

Step-by-step explanation:

If the expression is log₅ 25/x. then the expansion of this looks like

(log 25-log x)/ log 5.

Given that the expression is log₅ 25/x.

We are told to find the expanded value of the expression.

The change of base formula is used in writing a logarithm operation as a fraction of logarithms with a new base.

The expression is log₅ 25/x.

log₅ 25/x=log (25/x)/log 5

(We know that [tex]log_{a} b[/tex]=log b/ log a)

=(log 25-log x)/ log 5         (We know that log (u/v)=log u-log v)

Hence if the expression is log₅ 25/x. then the expansion of this looks like (log 25-log x)/ log 5.

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Answer:

-1,093

Step-by-step explanation:

-10,844 + 9751 = -1,093

Answer:

n = (W - Z)/a

Step-by-step explanation:

W = an + Z

Rearrange the equation so that the subject is alone, in the format Ax = B

W = an + Z

W - Z = an + Z - Z

W - Z = an

Isolate the subject by dividing or multiple so that the equation is in the format x = C

W - Z = an

(W - Z)/a = an/a

(W - Z)/a = n

El primer socio adquirió un terreno de 324 000 metros cuadrados, el segundo socio un terreno de 180 000 metros cuadrados y el tercer socio un terreno de 36 000 metros cuadrados. Al tercer socio le corresponde la fracción de 1 / 15 de todo el terreno.

Tenemos que el precio es directamente proprocional a la extensión del terreno, de modo que cada socio tiene una participación en el terreno. a) Entonces la participación de cada persona es la siguiente:

Primer socio

x = (3 / 5) · (540 000)

x = 324 000

Segundo socio

x = (1 / 3) · (540 000)

x = 180 000

Tercer socio

x = (1 - 3 / 5 - 1 / 3) · (540 000)

x = 36 000

b) Y la fracción del total correspondiente al tercer socio es:

x = 1 - 3 / 5 - 1 / 3

x = 1 / 15

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Answer:

Step-by-step explanation:

Try the code AEAA. Let me know if its right or not.

Answer:

CHGD

Step-by-step explanation:

You should actually solve each of these puzzles to get the right code
1. To evaluate f(-2)

We have f(x) = x³ - 2x

Substitute -2 for x

==> (-2)³ - (2 x-2)
-2³ = -8
2 x -2 = -4

==> f(-2) = -8 - (-4)
==> f(-2) = -8 + 4      (two negatives make a positive
==> f(-2) = -4            Letter C

2. Evaluate g(-10)
[tex]g(x) = \dfrac{3x}{2}[/tex]

[tex]g(-10) = \dfrac{3 \times -10}{2} \\= \dfrac{-30}{2} \\\\= \boldsymbol{-15}[/tex]        Letter H

3. Evaluate h(-1)
h(x) = 2x² + x
h(1) = 2 x (-1)² - 1

= 2 x 1 - 1

= 1            Letter G

4. Evaluate f(3)
f(x) = x³ -2x
f(3) = 3³ - 2 x 3

= 27 - 6

= 21              Letter D

So the correct code is CHGD

You got everything right except the third :)

According to the question, the given rational expression can be simplified and as shown below:

Rational expression = [tex]\frac{-5x^{3} y}{15xy^{3} }[/tex]

To simplify the given rational expression, calculate the factors of the numerator as well as denominator. And later divide it from each other. These expressions are also called as polynomial expressions.

Rational expression = [tex]\frac{-x^{2} }{3y^{2} }[/tex]

The final expression of the given equation is [tex]\frac{-x^{2} }{3y^{2} }[/tex] .

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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