Which of the following is the algebraic expression that best describes the height y, if x is the width?

Amanda [17]

Answer:

angle 1= 104 angle 2= 76

Step-by-step explanation:

angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.

x+66+2x=180 set the sum of the angles to 180

3x+66=180 combind like terms

3x=144 subract 66 from both sides

x=38 divide 3 from both sides

Now you put x back into the measurments

angle 1= (x+66) angle 2= 2x

(38+66) 2×38

angle 1= 104 angle 2= 76

Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.

5 0

3 years ago

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

wolverine [178]

Answer:

x^4 - 14x^2 - 40x - 75.

Step-by-step explanation:

As complex roots exist in conjugate pairs the other zero is -1 - 2i.

So in factor form we have the polynomial function:

(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)

= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)

The first 2 factors = x^2 - 2x - 15 and

( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2

= x^2 + 2x + 1 + 4

= x^2 + 2x + 5.

So in standard form we have:

(x^2 - 2x - 15 )(x^2 + 2x + 5)

= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75

= x^4 - 14x^2 - 40x - 75.

7 0

3 years ago

What percent of the June budget was for babysitting and movies (to the nearest tenth)?

Aleonysh [2.5K]

The monthly expenses are found below:

Mortgage - $752 Tim's Chevron - $23Johnny's Allowance - $8Electric - $176Jenny-babysitting - $12Movie - $14Dry Cleaning - $41Tithe - $85,Credit Card - $150Food - $101Phone - $45Water - $16 Car - $272

Adding all the expenses, will give us a total of $1695.

To get the percent which is allocated for movie and the baby sitting:

Add the amount for the two then divide that to the total then multiply it by 100%
= 12 + 14 / 1695 x 100%
= 26 / 1695 x 100%
= 0.015339233 x 100%

=1.5%
The answer is 1.5%

3 0

3 years ago

FUNCTION OR NOT /// ALGEBRA I

guapka [62]

Answer:

First figure: The graph is not a function

Second figure:

Statement 1: It is false

Statement 2: It is false

Statement 3: It is right

Step-by-step explanation:

First graph is not a function.

The domain of it is ⇒ 0 ≤ x < 3 , 3 < x ≤ 6 , 6 ≤ x < 9

From the domain ⇒ x = 6 has two corresponding values of y⇒ 3 and 4

∴ It is not a function because every x must have one and only one

corresponding value of y

Second figure

{(3 , 6) , (4 , 6) , (5 , 7) , (6 , 8) , (7 , 10) , (8 , 10)}

Statement 1: It is false because we use x-value to check function or not.

The relation is a function because every x-value has one corresponding

y-value

Statement 2: It is false because 3 ≤ x ≤ 8 means we will use for x all real numbers from 3 to 8 not only the integers 3 , 4 , 5 , 6, ,7 , 8

The domain of this function is { 3 , 4 , 5 , 6 , 7 , 8 }

Statement 3: It is right because the range is the y-value and all the y-value in the function are 6 , 7 , 8 , 10

5 0

3 years ago

PQ is bisected at point R by MN. Which of the following I true about point R.

Stella [2.4K]

Answer:

C. R is the midpoint of PQ.

Step-by-step explanation:

Given that segment PQ is bisected at point R by MN.

It means PQ is divided into two parts at point R by the segment MN.

That is, PR = RQ

Hence, R is the midpoint of PQ.

It is not given that the segment MN is bisected by PQ.

So, R need not be the midpoint of MN.

Please refer to the attached figure for better understanding.

7 0

3 years ago

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