The lines r: x+3=0 and s: y-2=0 intersect at a point P.
a) Determine the coordinates of point P.
b)What is the distance of P from the origin?​

Hello,

[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]

Answer A : 45°

Answer:

C. right triangle only

Step-by-step explanation:

Other triangles use other laws such as law of cosines or sines to solve them. Right triangles exclusively use SOH-CAH-TOA because side opposite to 90 degree is always hypotenuse.

Answer:

Y = - 7/4 X + 31/4

Step-by-step explanation:

M = 14/-8 = - 7/4

6 = - 7/4 + B

24 = -7 + 4B

31 = 4B

B = 31/4

The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

From the question, we are to determine the equivalent equation solved for h

From the given information,

The amount of potential energy, P, is modeled by the equation

P = mgh

To determine the equivalent equation solved for h, we will make h the subject of the equation,

From,

P = mgh

Divide both sides of the equation by mg

That is,

[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]

∴ [tex]\frac{P}{mg} = h[/tex]

Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]

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Answer

B

Step-by-step explanation:

Edge 2022

Answer:

-8z+1

term:2

variable:z

coefficient:-8

constant:1

2

term:1

variable:nil

coefficient:nil

constant:2

y-7.7

term:2

variable:y

coefficient:nil

constant:-7.7

The solution is given below.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

now, we get,

-8z+1

term:2

variable: z

coefficient:-8

constant:1

again,

2

term:1

variable : nil

coefficient : nil

constant:2

now,

y-7.7

term:2

variable : y

coefficient : nil

constant:-7.7

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Question: Dentify the parts of the following algebraic expression.

-8z + 1

2

y - 7.7

Term:

Variable:

Coefficient:

Constant:

Answer:

[tex]-x\:-\:1\:=\:221\:+\:2x[/tex]

[tex]\hookrightarrow Answer:x=-74[/tex]

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

hope it helps...

have a great day!!

Answer:

m = -1

n= -8

Step-by-step explanation:

5m -3n = 19

m - 6 = -7

solve for m:

m = -7+6

m = -1

plug in m

5(-1) - 3n = 19

-5 - 3n = 19

-3n = 24

n = -8

Answer:

[tex]volume = 2304\pi \ mm^3\\\\volume = 7234.56 \ mm^3[/tex]

Step-by-step explanation:

Radius , r = 12mm

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (12^3)\\\\[/tex]

                      [tex]=\frac{4}{3} \pi \times 1728\\\\= 4\pi \times 576\\\\= 2304 \pi \ mm^3\\\\or \\\\= 7234.56 \ mm^3[/tex]

Answer:

Step-by-step explanation:

2 colours were taken

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin(x - y) = sinxcosy - cosxsiny , then

sin(180 - θ)

= sin180cosθ - cos180sinθ

= (0) cosθ - (- 1)sinθ

= 0 + sinθ

= sinθ

Answer:

false.

Step-by-step explanation:

A conditional statement is something like:

If P, then Q.

This means that if a given proposition P is true, then another proposition Q is also true.

An example of this is:

P = its raining

Q = there are clouds in the sky.

So the conditional statement is

If its raining, then there are clouds in the sky.

A biconditional statement is:

P if and only if Q.

This means that P is only true if Q is true, and Q is only true if P is true.

So, using the previous propositions we get:

Its raining if and only if there are clouds in the sky.

This statement is false, because is possible to have clouds in the sky and not rain.

(this statement implies that if there are clouds in the sky, there should be rain)

Then we could see that for the same propositions, the conditional statement is true and the biconditional statement is false.

Then these statements are not logically equivalent.

The statement is false.

Oxygen

Step-by-step explanation:

That's what I think

Answer:

its 3125

Step-by-step explanation:

you multiply it by 5 every time

Answer:

C

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3= 1+8+27

9+27= 36

Answer:

Angle A is F Angle A = 57. 52+71=123. 180-123=57

Answer:

$566,700 to the nearest dollar.

Step-by-step explanation:

This is a geometric series with nth term = a1r^(n-1) where common ratio r

= 1.15 and first term a1 = 245000

So in its 7th year the profit will be 245000^ 1.15^(7-1)

= 566699.8876.

Answer:

see explanation

Step-by-step explanation:

∠ YXW = ∠ ZXV ( vertically opposite angles ) , so

4a + 15 = 2a + 65 ( subtract 2a from both sides )

2a + 15 = 65 ( subtract 15 from both sides )

2a = 50 ( divide both sides by 2 )

a = 25

Then

(7)

∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°

(8)

∠ YXW = ∠ ZXV = 115°

∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is

(9)

∠ ZXY = 180° - 115° = 65°

(10)

∠ VXW = ∠ ZXY = 65° ( vertically opposite angles

Answer:

y = 3/2x +1

Step-by-step explanation:

The y int = is 1 by observation

To calculate the slope it is rise over run

3/2 as for every 3 up the line moves 2 across

Answer:

(1,-3) and (4,-6)

Step-by-step explanation:

The solutions are where the linear line intersects the graphed parabola.

Answer:

-4/15

Step-by-step explanation:

Mathematically, we know that;

alpha= -b/a and beta = c/a

a refers to the coefficient of the x^2 which is 2

b is the coefficient of x which is 3

c is the last number which is 5

alpha = -b/a = -3/2

beta = c/a = 5/2

1/alpha = -2/3

1/beta = 2/5

so we have the sum as;

-2/3 + 2/5

= -5(2) + 3(2)/15 = (-10 + 6)/15 = -4/15

Answer:

the smaller number is 15 and the larger number is 35

Step-by-step explanation:

x+y=50

x=smaller number y=larger number

y=x+20

x+(x+20)=50

2x+20=50

2x=30

x=15

smaller number=15

larger number= 15+20=35

Answer:

Smaller: 15

Larger: 35

Step-by-step explanation:

Larger: y

Smaller: x

[tex]x+y=50[/tex]

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

[tex]x+20+x=50\\2x=50-20\\2x=30\\x=15[/tex]

[tex]15+y=50\\y=50-15\\y=35[/tex]

x=15; y=35

Hope this helped! Please mark brainliest :)

Answer:

9/2

Step-by-step explanation: I think it is the answer? I really don't know.

Answer:

you do length times width then add them

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Step-by-step explanation:

Answer:

216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Step-by-step explanation:

Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:

5/9 x 1/5 = 24

5/45 = 24

1/45 = 4.8

4.8 x 45 = 216

216 / 9 x 5 = 120

216 / 9 x 4 = 96

Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Answer:

90 degrees

Step-by-step explanation:

B is the corner and angle opposite of the side AC.

so, AC is becoming side c, and the other two are a and b (it does not matter which is which).

we use the enhanced Pythagoras formula for general triangles

c² = a² + b² - 2ab×cos(C)

in our example the angle C is named B.

but other than that we simply calculate

10² = 6² + 8² - 2×6×8×cos(B)

100 = 36 + 64 - 96×cos(B)

100 = 100 - 96×cos(B)

0 = -96×cos(B)

cos(B) = 0

=>

B = 90 degrees

Answer:

6x - 15

Step-by-step explanation:

f(x) = 2x + 3 and g(x) = 3x - 9.

[tex]f(g(x))=2(3x-9)+3\\f(g(x))=6x-18+3\\f(g(x))=6x-15[/tex]

Answer:

It will cost a total of $27.00.

Step-by-step explanation:

Manny's bedroom door is 9 feet tall and 3 feet wide.

The new door costs $1.00 per square foot.

And we want to find the total cost of the new door.

Since the door is a rectangle 9 feet tall and 3 feet wide, its total area is:

[tex]\displaystyle 9\cdot 3 = 27\text{ ft}^2[/tex]

And since it costs $1.00 per square foot, we can simply multiply it to the total area. Hence:

[tex]\displaystyle 27\text{ ft}^2\cdot \frac{\$ 1}{\text{ ft}^2}=\$27.00[/tex]

It will cost a total of $27.00.

Answer:

A new bedroom door costs $27.00

Step-by-step explanation:

The bedroom door mentioned here is in a rectangular shape. That is commonly used in these type of questions:

The area of a rectangle is length x width:

9 feet x 3 feet = 27 square feet

If a new door would cost $1.00 per square feet, the total cost will be the area of the door times $1.00:

27 x 1 = 27

Therefore a new door would cost $27.00

Hope this helps

Answer:

12

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]

6x-15+24x=10+12x

Answer:

its 540 bro

Step-by-step explanation: