If anyone can assist with a step by step

=========================================================

Explanation:

The 90 degree counterclockwise rotation rule we use is

[tex](x,y) \to (-y,x)[/tex]

the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.

After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.

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

Extra info (optional section):

Define the following three points

A = (0,0)

B = (8,4)

C = (-4,8)

Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.

Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.

Answer:

Step-by-step explanation:

You just need to sum up the values according to arc addition postulate:

Now we have to find,

The measure of arc AD according to the Arc Addition Postulate.

AD is the sum of the measures of the other two arcs. Then measure of AD is,

→ AC + CD

→ 35° + 45°

→ 80° (final answer)

Hence, the measure of arc AD is 80°.

Answer:

4a^2

Step-by-step explanation:

GCF of 12 and 32 is 4.

GCF of a^3 and a^2 is a^2.

Therefore, the answer is 4a^2.

Answer:

C

Step-by-step explanation:

[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]

Answer:

d  || if its wrong cancel me lol <3

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

Here :-

Measure of 6 :-

Answer:

m<6 = m<2 = 54º

Step-by-step explanation:

13x + 9 + 5x + 9 = 180

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 162 / 18

x = 9

13x + 9

13(9) + 9

126

180 - 126

54

m<6 = m<2 = 54º

Answer:

(B)

Step-by-step explanation:

Can't explain lol, but that's the answer

Answer:

so if its actually 1000 and that map thing is 250

250 goes into 1000 4 times so

4cm

Hope This Helps!!!

Answer:

Saleh is x years old. And 10 years ago he was 100 years old.

Suha is x years old. Saleh is 10 years younger than Suha. Saleh is 100 years old.

Answer:

see explanation

Step-by-step explanation:

Angles on the circumference subtended on the same arc are equal

Angle at the centre is twice the angle at the circumference subtended on the same arc.

Then

∠ BAC = ∠ BDC = 29°

∠ BOC = 2 × ∠ BDC = 2 × 29° = 58°

Answer:

15.52 ft

Step-by-step explanation:

the length of the rope can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√15² + 4²

= √225 + 16

=√ 241

= 15.52 ft

Answer:

the answer is b the square root of 160

Step-by-step explanation:

i did it on the assignment

Answer:

x^2 - 9

Step-by-step explanation:

length = 2x - 6 = 2(x-3)

Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9

Answer: x = 9

2x -6= x +3

2x -x= 3 +6

x= 9

Answer: -6.4, -3.6

Explanation: A souloution of the system of equations is, when two equations intercept (y= 3/2x +6, y=1/4x -2)

Answer:

There are 80 questions on the test

Step-by-step explanation:

I think this is right, but don't quote me on this.

Answer:

(i) - rectangular prism

(Ii) - triangular prism

(iii) - square pyramid

Step-by-step explanation:

Answer:

The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]

We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.

Answer:  no

Step-by-step explanationn.  .......................................................w:eorkeok,feoferkeorkoe

Answer:

y = 7/5x + 7

Step-by-step explanation:

Answer:

{0,-3,-9,5,7}

Step-by-step explanation:

range = all y values

function =(x,y)

so all the second values are ranges

2^4×3^2 = 144

___________

Answer:

144 would be the answer.

Step-by-step explanation:

Question:- [tex]2^{4}[/tex] · [tex]3^{2}[/tex]

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2

   = 4 x 2 x 2

   = 8 x 2

   = 16

[tex]3^{2}[/tex] = 3 x 3

   = 9

So, [tex]2^{4}[/tex] · [tex]3^{2}[/tex] = 16 x 19

              = 144

Step-by-step explanation:

yes they are because they have the same variables which are X& Y

Answer:

5yx-7xy

they are like terms, it's all multiplication just a different arrangement

5xy-7xy=-2xy

Step-by-step explanation:

hope this is helpful

for the to be parallel both the angle must be equal

so 7x - 20 = 3x + 20 - > 4x = 40⁰

x = 10⁰

Answer:

for (a)

Step-by-step explanation:

15 and 25 are the numbers that come in A union to B

Answer:

The expressions that give the value of y are A - 3B and (1/3)A - B

The solution is (27/13, -60/13)

Step-by-step explanation:

We can see both equation A and equation B.

Equation A: 2x + (1/4)y = 3

Equation B: (2/3)x - y = 6

To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:

(13/4)y = -15

y = -60/13

you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)

Put y = -60/13 in equation A to get x:

2x + (1/4)(-60/13) = 3

2x = 3 + 15/13

2x = 54/13

x = 27/13

The solution is (27/13, -60/13)

Answer: 60°

Step-by-step explanation:

If two angles are supplementary, that means they add up to 180°.

Therefore, if one angle is 120°, the other missing angle can be calculated by:

180° - 120° = 60°

Answer:

Angle E is the included angle between sides DE and EF.

The included angle between sides FE and DF is angle F

Step-by-step explanation:

Given

[tex]\triangle D EF[/tex]

Required

Complete the blanks

To solve this, I will attach an illustration of [tex]\triangle D EF[/tex]

From the attached image of [tex]\triangle D EF[/tex], we can see that"

[tex]\angle E[/tex] is between DE and EF

[tex]\angle F[/tex] is between FE and DF

Answer:

see picture

Step-by-step explanation:

Answer:

P is maximum at I = 2

Step-by-step explanation:

Here is the complete question

The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 100I/(I² + I + 4) where I is the light intensity (measured in thousands of foot candles). For what light intensity P is a maximum?

To find the value of I at which P is maximum, we differentiate P with respect to I and equate it to zero.

So, dP/dI =  d[100I/(I² + I + 4)]/dI

= [(I² + I + 4)d(100I)/dI - 100Id(I² + I + 4)/dI]/(I² + I + 4)²

= [(I² + I + 4)100 - 100I(2I + 1)]/(I² + I + 4)²

= [100I² + 100I + 400 - 200I² - 100I]/(I² + I + 4)²

= [-100I² + 400]/(I² + I + 4)²

=  -100[I² - 4]/(I² + I + 4)²

Since dP/dI = 0,  -100[I² - 4]/(I² + I + 4)² = 0 ⇒ I² - 4 = 0 ⇒ I² = 4 ⇒ I = ±√4

I = ±2

Since I cannot be negative, we ignore the minus sign

To determine if this is a maximum point, we differentiate dP/dI. So,

d(dP/dI)/dI = d²P/dI² = d[-100[I² - 4]/(I² + I + 4)²]/dI

= [(I² + I + 4)²d(-100[I² - 4])/dI - (-100[I² - 4])d(I² + I + 4)²/dt]/[(I² + I + 4)²]²

= [(I² + I + 4)²(-200I) + 100[I² - 4]) × (2I + 1) × 2(I² + I + 4)]/(I² + I + 4)⁴

= [-200I(I² + I + 4)² + 200[I² - 4])(2I + 1)(I² + I + 4)]/(I² + I + 4)⁴

= [-200(I² + I + 4)[I(I² + I + 4) - [I² - 4])(2I + 1)]]/(I² + I + 4)⁴

= [-200(I² + I + 4)[I³ + I² + 4I - I² + 4])(2I + 1)]]/(I² + I + 4)⁴

= [-200(I² + I + 4)[I³ + 4I + 8])(2I + 1)]]/(I² + I + 4)⁴

Substituting I = 2 into d²P/dI², we have

= [-200(2² + 2 + 4)[2³ + 4(2) + 8])(2(2) + 1)]]/(2² + 2 + 4)⁴

= [-200(4 + 2 + 4)[8 + 8 + 8])(4 + 1)]]/(4 + 2 + 4)⁴

= [-200(10)[24](5)]]/(10)⁴

= -240000/10⁴

= -24

Since d²P/dI² = -24 < 0 at I = 2,  this shows that it I = 2 is a maximum point.

So, P is maximum at I = 2