a line is perpendicular to
y= -1/4x -9
what is the slope of this perpendicular line?

Answer:

x =55 degrees

y = 35 degrees

Step-by-step explanation:

We know that the distance from the center of the circle to the circumference is the radius

that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same

Let us call one of the angles z

we know that the sum of the angles in a triangle is 180 degrees

That simply means;

80 + 2z = 180

2z = 180-80

2z = 100

z = 100/2

z = 50 degrees

So the angles at each upper end of the cyclic quadrilateral are;

x + 50 and y + 50

we know that the angles that face each other in a cyclic quadrilateral are supplementary

Thus;

95 + y+ 50 = 180

y= 180-95-50

y= 180-145

y = 35 degrees

Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50

Thus;

x + 50 = 105

x= 105-50

x = 55 degrees

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

Answer:

The value of y when x = 8 is -8.

Step-by-step explanation:

y = 8 - 2x

y = 8 - 2*8

y = 8 - 16

y = -8

Have a nice day!

Answer:

it would probably be around 1.8 or either 1.7

Answer:

8 1/6

Step-by-step explanation:

that is da answer bbbbb

Answer:

8 1/6

Step-by-step explanation:

3 1/2 X 2 1/3

7/2x7/3

Answer:

x² + 7x - 4 = 0

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 ( a ≠ 0 )

Given

- 7x + 4 = x² ( subtract - 7x + 4 from both sides )

0 = x² + 7x - 4 , that is

x² + 7x - 4 = 0 ← in standard form

Answer: D) 13^(3/5)

Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.

Answer:

the answer is true.

4/6

10/15

Answer:

78.5398163397

Step-by-step explanation:

5x5= 25xpi=78.5398163397

Answer:

no

Step-by-step explanation:

First determine the discount

11.95 * 15%

11.95 *.15

1.79

Subtract the discount

11.95-1.79

10.16

You do not have enough money with a 10 dollar bill

Answer:

x<−3

Step-by-step explanation:

hope this works

Answer:

x=-8 or x=-1 (first option)

Step-by-step explanation:

[tex]\sqrt{1-3x}=x+3\\1-3x=(x+3)^{2} \\[/tex]

now expand the bracket on the right

[tex]1-3x=x^{2} +6x+9\\simplify:\\1-9=x^2+6x+3x\\-8=x^2+9x\\[/tex]

now make it a quadratic equation:

[tex]x^2+9x+8=0\\factorise:\\(x+1)(x+8)\\so:\\x+1=0 \\x=-1\\\\and \\x+8=0\\x=-8[/tex]

Answer:

2 times larger

Step-by-step explanation:

Area of a rectangle = length x width

assume width = 10

older area = 44 x 10 = 440

new area

length = 44 x 2 = 88

88 x 10 = 880

change in area = 880 / 440 = 2

Answer:

Mark arrived at school at 9:45 A.M. or either 9:45 P.M.

Answer:

Christy got to school at 9:45am

Step-by-step explanation:

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

Answer:

21 days

Step-by-step explanation:

101/5=20.2

thus u need 21 days to finish 101 worksheets

Step-by-step explanation:

you can follow the same procedure for others

Answer:

Step-by-step explanation:

Given Question,

2x - 7

Given Value:

[tex]x = \frac{1}{2} [/tex]

Solution,

[tex]2( \frac{1}{2} ) - 7[/tex]

[tex] = 2 \times \frac{1}{2} - 7[/tex]

= 1 - 7

= - 6 (Ans)

Answer:

B and C. can you select more than one?

Answer: [tex]1\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The equation in terms of a is

[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

Answer:

9

Step-by-step explanation:

Given that :

Total Number of scorings (both Teams) = 18

Let :

x = number of 5 point score ; y = number of 2 point score

Total points scored = 34 + 29 = 63

x + y = 18 - - - (1)

5x + 2y = 63 - - (2)

From (1)

y = 18 - x

In (2) ; we have ;

5x + 2(18 - x) = 63

5x + 36 - 2x = 63

3x + 36 = 63

3x = 63 - 36

3x = 27

x = 9

9 5-point plays

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

answer is in the image above

Answer:

A= -42

B= 3

Step-by-step explanation:

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

Answer:

Probability of 100 managers being selected= 100C100*1100C800/1200C900

Probability of selecting just one manager = 1C100*1199C899/1200C900

Explanation:

Given 100 managers, 200 factory workers, 900 miscellaneous workers, and workers bring transferred 900

To find probability of 100 managers leaving given that probability = number of favorable outcomes/total number of outcomes

We use combination since order doesn't matter:

Combination formula= n!/r!(n-r)! Where n= total number of outcomes and r is number of outcome at one time and ! is factorial

Probability of 100 managers using nCr formula for each item = 100C100*1100C800/1200C900

Probability of 1 manager also applying nCr formula as above =1C100*1199C899/1200C900

The probability is the ratio of the favorable event to the total number of events. The probabilities are as follows;

a.  P = ¹⁰⁰C₁₀₀ × ¹¹⁰⁰C₈₀₀ / ¹²⁰⁰C₉₀₀

b.  P = ¹⁰⁰C₁ × ¹¹⁹⁹C₈₉₉ / ¹²⁰⁰C₉₀₀

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Your company is considering offering 600 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery.

Assuming that your company currently employs 100 managers, 300 factory workers, and 900 miscellaneous staff.

We can use combination since order does not matter;

a)  The probability of all the managers will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{100} * ^{1100}C_{800}}{^{1200}C_{900}}\\[/tex]

b)  The probability of you will be offered the opportunity will be

[tex]P = \dfrac{^{100}C_{1} * ^{1199}C_{899}}{^{1200}C_{900}}\\[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

7 1/2 miles per half hour

Step-by-step explanation:

First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.

I hope this helped :)

(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

Answer:

The answer is "[tex]7x^2 +10x -7[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]\to \bold{-2x +8x -9 +4x +7x^2 +2}\\\\[/tex]

Solving the given value:

[tex]\to7x^2 -2x +8x +4x-9 +2\\\\\to7x^2 +10x -7\\\\\to7x^2 +10x -7\\\\[/tex]