if -3 + i is a root of the polynominal function f(x), which of the following must also be a root of f(x) ​

Answer:

In Geometry, there are five fundamental angle pair relationships:

Complementary Angles.

Supplementary Angles.

Adjacent Angles.

Linear Pair.

Vertical Angles.

The measure of the angle u and angle t will be 29 degrees.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angle u is congruent to angle t.

From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,

∠t + ∠u + 122° = 180°

∠t + ∠t  = 58°

2∠t = 58°

∠t = 29°

The measure of the angle u and angle t will be 29 degrees.

More about the angled link is given below.

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Answer:

3

Step-by-step explanation:

first you add 5 + 3 = 8 then 24 divided by 8 = 3

Answer:

[tex]P = 2(l + w) \\ 2(l + w) > 300 \\ 2(100 + w) > 300 \\ 100 + w > 150[/tex]

For width

[tex]100 + w > 150 \\ w > 150 - 100 \\ w > 50 \: cm[/tex]

Answer:

the answer is the first one

Step-by-step explanation:

becuse im doing it rn

Answer:

it's A

Step-by-step explanation:

i took the test

Answer:$9,000

Step-by-step explanation:

150,000 x 0.06

Answer:

B

Step-by-step explanation:

if you have a scientific calculator or you can also your phone it will show you the answer.

The value of expression in simplified form is,

⇒ - 77√30

The given expression is,

⇒ (- 7 √3) × (11 √10)

We can simplify it by multiply like terms,

⇒ (- 7 √3) × (11 √10)

⇒ (- 7 × 11) × (√3 × √10)

⇒ - 77 × √30

⇒ - 77√30

Therefore, The value of expression in simplified form is,

⇒ - 77√30

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Answer:

273 tiles

Step-by-step explanation:

Given

Square tile

[tex]Side=\frac{1}{2} ft[/tex]

Bathroom floor

[tex]Length = 10\frac{1}{2}ft[/tex]

[tex]Width = 6\frac{1}{2}ft[/tex]

Required

Determine the number of tiles to cover the floor

First, we calculate the area of the floor:

[tex]A_{floor} = Length * Width[/tex]

[tex]A_{floor} = 10\frac{1}{2} * 6\frac{1}{2}[/tex]

Convert to decimals

[tex]A_{floor} = 10.5 * 6.5[/tex]

[tex]A_{floor} = 68.25ft^2[/tex]

Next, we calculate the area of the square tile:

[tex]A_{tile} = Side * Side[/tex]

[tex]A_{tile} = \frac{1}{2} * \frac{1}{2}[/tex]

Convert to decimal

[tex]A_{tile} = 0.5 * 0.5[/tex]

[tex]A_{tile} = 0.25ft^2[/tex]

The number of tiles is then calculated as:

[tex]Tiles = \frac{A_{floor}}{A_{tile}}[/tex]

[tex]Tiles = \frac{68.25ft^2}{0.25ft^2}[/tex]

[tex]Tiles = \frac{68.25}{0.25}[/tex]

[tex]Tiles = 273[/tex]

Answer:

247000000

Step-by-step explanation:

10^8 = 10×10×10×10×10×10×10×10

=100000000

or, downloaded=100000000×2.47

=27000000

Answer: 453 more downloads   1,547 more downloads

7,549 more downloads   435 more downloads  ( it will be one of these answers pls help me im doing a quiz) ~cries cutely~

Step-by-step explanation:

An app was downloaded 3,548 times last week. This week the app was downloaded 4,001 times. How many more downloads did the app have this week than last week

Answer:

12

Step-by-step explanation:

60(1/2)^30/13 = 12.118996

Answer:

The prime factorization of 48 is 2 × 2 × 2 × 2 × 3.

Answer:

32

Step-by-step explanation:

56/7=8

7X8=56

4X8=32

Answer:

the answer would be A

Step-by-step explanation:

Answer:

A. 1,876 tissue holders

Step-by-step explanation:

Answer:

The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).

Answer:

the answer would be n= -10

Step-by-step explanation:

-5n+5 + 55

subtract 5 on both sides

-5n = 50

divide both sides by -5

n = -10

Answer: y=-3/4x

Step-by-step explanation:

The slope intercept form is when you use the equation y=mx+b (m is the slope and b is the y-intercept). First, let's find the y intercept. The y intercept is what y would be if x is 0. here, you can see that this particular line passes through the origin. So, the y-intercept is zero because when x passes through zero, y is also zero. Next, let's find the slope. The formula for slope is change in y/change in x. Let's randomly choose 2 points off this line. To make this a thousand times easier for us, let's choose the points (-4, 3) and (4, -3). Now, to find the change in y, let's find the difference between the 2 y coordinates we have chosen. To do this we just need to do -3-3, which gives us -6. Now let's find the change in x. To do this we will do the same thing we did to find the change in y but this time we'll use the x coordinates. We will do 4-(-4), which simplifies to 8. Now, we're almost done. Just divide the change in y by the change in x. You will get -6/8. This can be simplified to -3/4. So now we know our slope is -3/4 and our y-intercept is 0. Let's insert them into the equation. y=-3/4x+0. We know that we can just get rid of that 0 because 0 literally means nothing. So our final answer is y=-3/4x. Hope this helps!

Answer:

32 degrees

Step-by-step explanation:

5z+200=360

5z=160

z=32

Answer:

< MRN and < NRO

Step-by-step explanation:

Recall that angles which forma linear pair ae those whose addotion gives 180 degrees (a line).

So in our case these are: < MRN and < NRO

Answer:

x = 1

Step-by-step explanation:

Answer:

"a 72 inch player would probably weigh about 160 pounds"

Step-by-step explanation:

Answer:

The sun's direct ray is not hitting the northern hemisphere

Step-by-step explanation:

kind of self explanatory

Answer: m=-7/9

Step-by-step explanation: You multiply them by 1 and it divided by themselves again.

Answer:

x = -10/7

Step-by-step explanation:

Start by replacing M(x) with m(1)

so you get...

1 = -7x - 9

+9        +9

10 = -7x

/-7    /-7

x = -10/7

Answer:

8/5

Step-by-step explanation:

(-1, 4) (4, -4)

-4-4 over 4-(-1)

That is -8/-5.

-8/-5 is simplified to 8/5

Answer:

1.6

Step-by-step explanation:

to find the slope, find two points on the line in the graph.

i'll be using (-1, 4) and (4, -4).

substitute the points into the rise over run equation.

[tex]\frac{rise}{run} = \frac{y1-y2}{x1-x2} =\frac{-4-4}{-1-4}[/tex]

solve the fraction by subtracting first. always remember to subtract the values.

[tex]\frac{-4-4}{-1-4}=[/tex] 1.6

hope this helps (:

Answer:

Given a table, we can always simplify each ratio pair to find the unit rate. When the unit rate remains the same it is called the constant of proportionality, 'k'. Multiply or divide by the constant of proportionality, to solve problems depending upon the information you're given.

Answer:

2

Step-by-step explanation:

t=-2

(2(-2)-3)+9

(-4)-3+9

-7+9

2

Answer:

discriminant equals zero

Step-by-step explanation:

b² - 4ac  where a = 1, b = -6, and c = 9

(-6)² - 4(1)(9)  =  36 - 36

Answer:

[tex]\lambda=10000[/tex] miles

Step-by-step explanation:

We are given that

[tex]\beta=10000 miles[/tex]

Exponential distribution function

[tex]f(x)=\frac{1}{\beta}e^{-\frac{x}{\beta}}, x\geq 0[/tex]

             0, otherwise

Using the formula

[tex]f(x)=\frac{1}{10000}e^{-\frac{x}{10000}},x\geq0[/tex]

              0, otherwise

[tex]E(x)=\int_{-\infty}^{\infty}xf(x) dx[/tex]

Using the formula

[tex]\lambda=E(x)=\frac{1}{10000}\int_{0}^{\infty}xe^{-\frac{x}{10000}}dx[/tex]

[tex]\lambda=\frac{1}{10000}([-10000xe^{-\frac{x}{10000}}]^{\infty}_{0}+10000[-10000e^{-\frac{x}{10000}}]^{\infty}_{0})[/tex]

Using formula

[tex]\int u\cdot vdx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx[/tex]

[tex]\lambda=\frac{1}{10000}(0-(10000)^2(0-1))=10000[/tex]

Hence, the value of [tex]\lambda=10000[/tex] miles

Answer:

$23,800

Step-by-step explanation:

59.5 x 5 x 80 = $23,800

Answer:

g=153

Step-by-step explanation:

i hope this helped...

Answer:

The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].

Step-by-step explanation:

The equation of the line is defined by the following formula:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - y-Intercept.

[tex]m[/tex] - Slope.

In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:

[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)

Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.

By applying (2) in (1), we derive the resulting expression:

[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]

[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]

[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]

[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]

[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)

If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:

[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]

[tex]k+10 -4\cdot k -2 = 20[/tex]

[tex]-3\cdot k +8 = 20[/tex]

[tex]-3\cdot k = 12[/tex]

[tex]k = -4[/tex]

The value of the slope is:

[tex]m = \frac{9-7}{2-6}[/tex]

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

The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].