Which points are coplanar and non ol linear

through my working i got to 41² is the hypotenuse.

21²+20²=c²

factor out the square

(21+20)²=c²

41²=c²

and 41² is 1681

Answer:

29 units

Step-by-step explanation:

i just took the quiz

Answer: y = 2x + 20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Step-by-step explanation:

Answer:

The second one is the answer.

Step-by-step explanation:

Objective: Linear Equation Problems.

Let model the equation given to us.

Vlad spent 20 minutes on his homework already and he complete x math problems every 2 minutes so we represent this as

[tex]y = 2x + 20[/tex]

X can be any real number greater than or equal zero because time isnt negative so anything below zero is wrong.

Y can be any real number but however since Vlad spent 20 mins on his homework already, he must spend over or equal to 20 minutes completing the total homework.

The second one is the answer

Answer:

160=130+x

x=160-130

x=30

Answer:

x = 50.6

Step-by-step explanation:

Answer:

(A)

Step-by-step explanation:

The bottom arrow goes to 5 1/2, and then because adding -3 is the same as subtracting 3, the top arrow correctly goes back 3, resulting in an answer of 2 1/2.

Hope it helps (●'◡'●)

Answer:

C

Step-by-step explanation:

The vertex is the point where the 2 lines meet on the V shape

The vertex is at (3, 2 ) → C

Answer:

Option c is the answer I think so if the answer is correct plz mark me as brainliest

Answer:

2√10 km

Step-by-step explanation:

By Pythagoras theorem,

x^2 + 9^2 = 11^2

x^2 + 81 = 121

x^2 = 121 - 81

x^2 = 40

= 4 x 10

x^2 = 2^2 x 10

x = 2√10 km

Answer:

a). y = 7x - 46      b). y = -1/7x - 22/7

Step-by-step explanation:

a). y = 7x + b

-4 = 7(6) + b

-4 = 42 + b

-46 = b

y = 7x - 46

b). y = -1/7x + b

-4 = -1/7(6) + b

-4 = -6/7 + b

-22/7 = b

y = -1/7x - 22/7

Answer:

£8520

43000-11000=32000

20/100×32000

£6400

48300-43000=5300

40/100×5300=2120

£8520

Answer:

0.75

Step-by-step explanation:

Given the table :

Number of sodas 24

28

32

36

Total Cost ($)

18

21

24

27

The rate of change :

Rate of change = Rise / Run

Rise = y2 - y1 ; Run = x2 - x1

From the table :

Take number of sodas as X - axis

Total cost as Y - axis

Taking the points :

(24, 18) ;(36, 27)

x1 = 24 ; x2 = 36

y1 = 18 ; y2 = 27

Rise = (y2 - y1) = (27 - 18) = 9

Run = (x2 - x1) = (36 - 24) = 12

Rate of change = 9 / 12 = 0.75

Observe that

5/12 = 1/4 + 1/6

so that

tan(5π/12) = tan(π/4 + π/6)

Then

tan(5π/12) = sin(π/4 + π/6) / cos(π/4 + π/6)

… = (sin(π/4) cos(π/6) + cos(π/4) sin(π/6)) / (cos(π/4) cos(π/6) - sin(π/4) sin(π/6))

… = (cos(π/6) + sin(π/6)) / (cos(π/6) - sin(π/6))

(since sin(π/4) = cos(π/4) = 1/√2)

… = (√3/2 + 1/2) / (√3/2 - 1/2)

… = (√3 + 1) / (√3 - 1)

… = (√3 + 1) / (√3 - 1) × (√3 + 1) / (√3 + 1)

… = (√3 + 1)² / ((√3)² - 1²)

… = ((√3)² + 2√3 + 1²) / (3 - 1)

… = (3 + 2√3 + 1) / 2

… = (4 + 2√3) / 2

… = 2 + √3 … … … (C)

If you insist on using the half-angle identity, recall that

sin²(x) = (1 - cos(2x))/2

cos²(x) = (1 + cos(2x))/2

==>   tan²(x) = (1 - cos(2x)) / (1 + cos(2x))

Let x = 5π/12. The angle x lies in the first quadrant, so we know tan(x) is positive.

==>   tan(x) = +√[(1 - cos(2x)) / (1 + cos(2x))]

We also know

cos(2x) = cos(5π/6) = -√3/2

which means

tan(x) = tan(5π/12) = √[(1 - (-√3/2)) / (1 + (-√3/2))]

… = √[(1 + √3/2) / (1 - √3/2)]

… = √[(2 + √3) / (2 - √3)]

… = √[(2 + √3) / (2 - √3) × (2 + √3) / (2 + √3)]

… = √[(2 + √3)² / (2² - (√3)²)]

… = √[(2 + √3)² / (4 - 3)]

… = √[(2 + √3)²]

… = 2 + √3

Answer:

the answer is rotation hope it helps ahhaha

Answer:

2.5 years

Step-by-step explanation:

The given amount invested, which is the principal, P = $16,800

The simple interest rate, R = 5% per annum

The intended total value of the investment, A = $18,900

The simple interest on the principal, I = A - P

∴ I = $18,900 - $16,800 = $2,100

The formula for the simple interest, I, is given as follows;

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Therefore, we have;

[tex]T = \dfrac{I \times 100}{P \times R}[/tex]

Plugging in the values, gives;

[tex]T = \dfrac{2,100 \times 100}{16,800 \times 5} =2.5[/tex]

The time it will take the investment to grow to $18,900 is T = 2.5 years

Answer:

addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)

muliplcation one is: (4x)(1/4)=(3) (1/4)

subtracting one is: 3x-4+4=12+4

division one is: 55/11 = 11x/11

Step-by-step explanation:

Hope this helps and good luck :)))

Answer:

The equation of line which is parallel to the given line is y =  3 x + k.

Step-by-step explanation:

The equation of the line is

y = 3 x - 8

Compare with the standard equation

y = mx + c

The slope of line is

m = 3

So, the line parallel to the given line is

y = 3 x + k

where, k is any real number.

Answer:

[tex]x^2 + ( y + 4)^2 = 52[/tex]

Step-by-step explanation:

Equation of circle with center (a , b) and radius, r is :

[tex](x -a)^2 + ( y -b)^2 = r^2[/tex]

Given :  a = 0 , b = - 4

Step 1 : Find the radius.

       Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.

   [tex]r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\[/tex]

     [tex]= \sqrt{ 36 + 16 } \\\\= \sqrt{52}[/tex]

Step 2 : Equation of circle.

  [tex](x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52[/tex]

Answer:

p = 2/3

q = 1/2

Step-by-step explanation:

The given equation is ,

[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]

We can write it as ,

[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]

Rearrange the terms ,

[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]

This can be written as ,

[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]

Now wrt Standard form of a quadratic equation ,

[tex]\bf \implies ax^2+bx + c = 0 [/tex]

we have ,

We know that product of zeroes :-

[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]

Sum of roots :-

[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]

Answer:

2nd option

Step-by-step explanation:

[tex]\frac{7\pi }{12}[/tex] is an angle in the second quadrant

Thus to find the reference angle, subtract from π , that is

r = π - θ

Answer: read below

Step-by-step explanation:

A circle graph is a graph showing proportions of thing that label the person by using different colours

Answer:

-60x

Step-by-step explanation:

Answer:

1. x = 54, y = 114,

missing angles => 66° and 114°

2. x = 42, y = 14,

Missing angles => 84°, 86°

3. x = 40, y = 50

Missing angles => 105°, 75°

Step-by-step explanation:

1. y° = 114° (corresponding angles are congruent)

(x + 12)° + y° = 180° (linear pair angles)

Substitute

x + 12 + 114 = 180

x + 126 = 180

Subtract 126 from each side

x = 180 - 126

x = 54

✔️Find the missing angles by plugging in the values of x and y in each case

(x + 12)° = 54 + 12 = 66°

y = 114°

2. ✔️Find x:

(2x)° + 96° = 180° (consecutive interior angles are supplementary)

Subtract 96 from each side

2x = 180 - 96

2x = 84

x = 84/2

x = 42

✔️Find y:

(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)

3y + 44 + 94 = 180

3y + 138 = 180

3y = 180 - 138

3y = 42

y = 42/3

y = 14

✔️Missing angles:

(2x)°

Plug in the value of x

= 2(42) = 84°

(3y + 44)°

Plug in the value of y

3(14) + 44 = 86°

3.

✔️Find x:

3x - 15 = 105 (corresponding angles are congruent)

3x = 105 + 15

3x = 120

x = 120/3

x = 40

✔️Find y:

(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)

Plug in the value of x to solve for y

3(40) - 15 + y + 25 = 180

120 - 15 + y + 25 = 180

Add like terms

130 + y = 180

y = 180 - 130

y = 50

✔️Missing angles:

(3x - 15)°

Plug in the value of x

3(40) - 15 = 105°

(y + 25)°

Plug in the value of y

50 + 25 = 75°

Answer:

1.3

Step-by-step explanation:

The Rest Of Them Are Writen As Fractions

Answer:

[tex]\sqrt{10}[/tex]

NOTE: the other answer is WRONG...

irrational means can not be written as a fraction (with whole numbers)

4/3 = 1.33333333333

Step-by-step explanation:

Answer: -0.1

Step-by-step explanation: Calculator

Hello!

-70 : 700 = -0,1 → answer

Good luck! :)

Answer:

36π mm²

Step-by-step explanation:

Formula: πr²

r=radius

r=6

π6²=36π

environment is not natural uniform all from

Answer: x = 82°

Step-by-step explanation:

The angle on the other side of 108° can be calculated as 180° - 108° = 72°

All angles within a triangle add up to 180°, so the x-value can be found as:

x = 180° - 72° - 26° = 82°

Answer:

ok so on the left ill put minutes and on the right ill put dollars

150=7.50

220=11.00

250=12.50

275=13.75

so now lets break this down by dividing the smallest numbers by 2 a couple times

75=3.75(2)

25=1.25(3)

1=0.05(25)

so for every minute on the phone you pay 5 cents

Hope This Helps!!!

Answer:

for every minute on the phone you pay 5 cents, add brainly plz.

Step-by-step explanation:

Answer:

the discount of the earbuds is $8.60

the final price is $34.40

Step-by-step explanation:

1. find 20% of 43:

43 x 0.2 = 8.60

2. subtract that from $43:

$43 - 8.60 = $34.40

the discount of the earbuds is $8.60

the final price is $34.40