Find an equation of the line through the given points right the final answer in intercept form

Answer:

[tex]{ \bf{b. \: \: {i}^{47} }}[/tex]

Step-by-step explanation:

[tex] {i}^{46} = ( {i}^{2} ) {}^{23} = - 1 \\ \\ {i}^{47} = (i)( {i}^{46} ) = ( - 1 \times i) = - i \\ \\ {i}^{48} = ( {i}^{2} ) {}^{24} = 1 \\ \\ {i}^{49} = (i)( {i}^{48}) = (1 \times i) = i[/tex]

Answer:

[tex]i^{46} = -i[/tex]

~~~~~~~~~~~~~~~~~~~

46/4 = 11 remainder 2 = [tex]-i[/tex]

47/4 = 11 remainder 3 = 1

48/4 = 11 remainder 0 =  [tex]i[/tex]

49/4 = 11 remainder 1 = -1

Step-by-step explanation:

[tex]i = \sqrt{-1} = i[/tex]  (remainder 0)

[tex]i^{2} = \sqrt{-1} * \sqrt{-1} = -1[/tex] (remainder 1)

[tex]i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * \sqrt{-1} = -i[/tex] (remainder 2)

[tex]i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * -1 = 1\\[/tex] (remainder 3)

[tex]i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}= 1 * \sqrt{-1} = i\\[/tex] (remainder 0)

The pattern repeats every FOUR in the exponent

Answer:

the third side is 5 2/3 in.

s - 1

Step-by-step explanation:

a = side 1

b = side 2

c = side 3

a + b + c = 15

a = b - 4 => b = a + 4

c = a + 3

a + a + 4 + a + 3 = 15

3a + 7 = 15

3a = 8

a = 8/3 = 2 2/3 in

b = a + 4 = 6 2/3 in

c = a + 3 = 5 2/3 in

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

Hey there! I'm happy to help!

First, let's find the volume of the cylindrical tank.

To find the volume of a cylinder, take the area of the circle base and multiply it by the height of the cylinder.

To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14).

The diameter is always twice the radius, so we divide by two to find the radius.

1.4/2=0.7

We square this.

0.7²=0.49

And we multiply by 3.14.

0.49×3.14=1.5386

Now that we have the area of the circle, we multiply by the height (length in our case since the cylinder is sideways).

1.5386×4.5=6.9237

Now, we see that we will be losing 1.7 feet every minute. To see how many times 1.7 feet goes into our cylinder, we just divide!

6.9237÷1.7= 4.07276470588

So we see that it will take just over 4 minutes for the tank to empty.

Have a wonderful day and keep on learning! :D

Answer:

ok I really suck at math, but I think you may have to multiply the x/y to get the whole area of the circle. so maybe itd be 10x25. I'm sorry if this isnt correct

Answer:

D

Step-by-step explanation:

your function is not very clear but I'm assuming it's 2 multiplied by 7^x

first let y be equal to the function

to find the range interchange x and y and make the subject

at some point you'll have to use logarithm to get rid of the exponent

only log of positive numbers numbers exist hence y must be greater than 0

Answer it should be 72° as the figure is a 5 fold.

360/5 = 72

Angle of rational symmetry is 72°

Must click thanks and mark brainliest

Answer:

y = 2x-6

Step-by-step explanation:

2x-y=6

Solve for y

Subtract 2x from each side

2x-y-2x = -2x+6

-y = -2x+6

Multiply both sides by -1

y = 2x-6

Slope intercept form is y = mx +b where m is the slope and b is the y intercept

Answer:

Step-by-step explanation:

First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)

Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major

Answer:

b:4,5

Step-by-step explanation:

Answer: 6.4

Step-by-step explanation:

Use the distance formula-[tex]\sqrt{(x_{2}-x_{1}) +(y_{2} -y_{1} \\[/tex]

Fill formula and solve-

[tex]\sqrt{(-4-0)^2+(6-1)^2[/tex]

[tex]\sqrt{ (-4)^2+(5)^2[/tex]

[tex]\sqrt{ 16+25[/tex]

[tex]\sqrt{41[/tex]

[tex]\\6.4031[/tex]

[tex]6.4[/tex]

Step-by-step explanation:

X

[tex]xx - xxyy - yy = 8[/tex]

Answer:

38 cups

Step-by-step explanation:

8c + 30 = 334

8c = 334 - 30

8c = 304

c = 304 ÷ 8

c = 38 cups

The total number of cups ordered by Eddie is 8

Design fee = $30

Cost per cup = $8

Total cost of order = $334

Let the number of cups ordered = p

The total cost of order can be represented by the equation :

Design cost + (cost per order × Number of orders)

$30 + (8p) = $334

8p = 334 - 30

8p = 304

p = 303 / 8

p = 38

Hence, the number of cups ordered is 8

Learn more : https://brainly.com/question/18109354

Answer:

Step-by-step explanation:

Find either c or d first. Those are easy and everything will fall into place after those 2 are found.

c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.

d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.

a and c are same side interior, so they are also supplementary. That means that a = 115°.

b and d are also same side interior, so they are also supplementary. That means that b = 70°.

Answer:

ol so polygon all sum is 540

we know that pentagon of 5 sides always has sum 540

so 5x = 540

x = 108

as per me ...

Answer:

The formula for the circumference of a circle is  

2

π

r

so all we have to do is plug in 5 for our radius:  

2

π

(

5

)

which can be simplified to  

10

π

.

Step-by-step explanation:

Step-by-step explanation:

2×2×4=16

Hope it helps uß

Answer:

245/148 = 1 97/148

Step-by-step explanation:

-7 * {1/2 + 2/16} / {1/2 - 2 8/7} =

You must use the correct order of operations, but first, we reduce the fraction 2/16 and change the mixed numeral into a fraction.

= -7 * {1/2 + 1/8} / {1/2 - 22/7}

Now we work inside each set of brackets.

Find common denominators for the addition and the subtraction of fractions.

LCD of 2 and 8 is 8. LCD 2 and 7 is 14.

= -7 * {4/8 + 1/8} / {7/14 - 44/14}

Do the addition and the subtraction of fractions.

= -7 * {5/8} / {-37/14}

Now we do multiplications and divisions from left to right in the order they appear.

= {-35/8} / {-37/14}

= -35/8 * {-14/37}

= 490/296

Reduce.

= 245/148 = 1 97/148

Hello,

Answer: 2.5 (rad)

[tex]L=\theta*R\ \\\\\Longrightarrow\ \theta=\dfrac{L}{R} =\dfrac{30}{12} =2.5 (rad)\\[/tex]

Answer:

I think that the answer is 350

Answer:

If the ladder is 9 m from the wall

cos theta = 9 / 20 = .45 and theta = 63.3  angle made with floor

So the angle made with the wall is 90 - 63.3 = 26.7

Answer:

47

Step-by-step explanation:

first of all simply the ones with powers and you will get 156-9*5-64 then multiply and you will get 156-45-64 simplify and the answer is 47

Answer:

Slope is -.25 =

Minus 25%

Step-by-step explanation:

x1 y1  x2 y2

6 3.5  8 3

(Y2-Y1) (3)-(3.5)=   -0.5  ΔY -0.5

(X2-X1) (8)-(6)=    2  ΔX 2

slope= -  1/4    

B= 5          

Y =-0.25X +5    

The percentage change is -25% the price of fuel is decreased by 25%.

The equation of line is given as,

y = mx + c

Where m is the slope and c is the y-intercept.

Let the data is

x₁= 6 ,   y₁ = 3.5  

x₂ = 8 , y₂ =  3

Calculate the change,

(Y₂ -Y₁ ) = (3)-(3.5)

ΔY = -0.5

(X₂-X₁) = (8)-(6)

ΔX = 2

Calculate the slope,

Slope = ΔY/ ΔX

Slope = -0.5 / 2

Slope = - 1/4 = -0.25

The equation formed by using the above data is,

Y =-0.25X +5    

Therefore, the percentage change is -25% the price of fuel is decreased by 25%.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ2

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.

Step-by-step explanation:

Answer:

Mathematics is like the study of numbers and relationships I guess.

Step-by-step explanation:

All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.

Basic Arthimetics seems to use ratios when counting, or patterns, ect.

Answer: D

Step-by-step explanation:

[tex]a=0,\ b=0,\ k=2\\equation\ of\ the\ parabola:\\\\y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{x^2}{4}+1 \\\\x^2=-4(y-1)\\\\Answer\ D[/tex]

Answer:

Step-by-step explanation:

The last two digits have to be divisible by 4

The entire number's digits have to add to a multiple of 9. So I will start with 99964

64 does not add up to a multiple of 9. so that's not the answer. 64 is divisible by 4 but not 9

Move on 99968 which has the same problem.

99972 works!!!!

Answer:

dalam rajah 1 and read the full q that is the ans

Answer:

x = 91° , y = 52°

Step-by-step explanation:

Opposite angles add up to 180°.

Therefore :

1. x° + 89° = 180°

x° = 180° - 89°

x° = 91° #

2. 76° + 2y° = 180°

2y° = 180° - 76°

2y° = 104°

y° = 104° / 2

y° = 52°#

Answer:

Karen jogged 2.32 kilometers more than Morgan.

Step-by-step explanation:

Calculate the difference:

53.52 - 51.2 = 2.32

Answer:

2.32 km

Step-by-step explanation:

Take the amount that Karen jogged and subtract the amount that Morgan jogged

53.52 - 51.2

2.32

Answer:

the function is a y-intercept

Step-by-step explanation:

y=mx+b is the slope intercept formula, m being the slope and b being the y-intercept, meaning y=b, so b=-9/4.

Because it says y=-9/4, we can assume that m, or the slope equals 0.

so when you plug it in, you get

y=0x-9/4

y=-9/4

Answer:

SA= 136 cm²

Step-by-step explanation:

Find the area of each side, since this is a rectangular prism there are 6 sides. Once you find the area of each side you add them all together to get the surface area of the shape.

Answer:

10.28

Step-by-step explanation:

Using ratio

12 : 9

8 :x

Crose multiple

12x = 72

Make x subject formula

x = 10,28