I'm stuck on two polynomial questions and any help would be greatly appreciated!


1. (4x-3y) is a factor of [tex]a^{2}x^{2} -b^{2}y^{2}[/tex] what is the value of [tex]a^{2} + b^{2}[/tex]?


2. [tex]x^{2} +19x+c[/tex] has a factor of (x+7) what is the value of c?

Answers

Answer 1

Answer:

1) 252) 84

Step-by-step explanation:

#1

a²x² - b²y² = (ax + by)(ax - by)

Since (4x - 3y) is one of the factors, we have:

a = 4, b = ± 3

The value of a² + b² is:

4² + (±3)² = 16 + 9 = 25

#2

x² + 19x + c, has a factor of (x + 7).

It means the equation:

x² + 19x + c = 0 has one root of x₁ = -7.

Sum of the roots:

x₂ + (- 7) = -19/1 x₂ = -19 + 7x₂ = -12

Product of the roots:

x₂*(-7) = c-12*(-7) = cc = 84


Related Questions

can you guys help me​

Answers

Answer:  think the answer is (37.7)

3. Sara has a basket of fruit that contains 10 lemons, 2 pears, 6 oranges, and 3 apples.
How many possible combinations of fruit can she pick if she picks one of each fruit?
a. 360
b. 21
c. 4
d. 72

Answers

Answer:

c would be the answer hope this help

Step-by-step explanation:

pleas make brainly if it's right

what is the surface area of the tent?​

Answers

Answer:

Area of 1 Right angle triangle= 1/2* 3*4= 6

Area of both triangle= 6*2= 12

Area of rectangle= 8*5= 40

Area of Both rectangles= 40*2= 80

Total surface area= (12*2)+ 80= 24+80= 104

Answer: I tell all my ones take it up

Step-by-step explanation:

show all work. what is the measure in degrees of angle A?

Answers

Answer:

∠ A = 62°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

116° is an exterior angle of the triangle, then

3x - 13 + 2x + 4 = 116

5x - 9 = 116 ( add 9 to both sides )

5x = 125 ( divide both sides by 5 )

x = 25

Then

∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°

What are the y- intercept(s) of the function f(x) = |x+1-2

Answers

Answer:(0,-1)

Step-by-step explanation:

please answerrrrrrrrr :)

Answers

Answer:

I think 25 IM AM SO SORRY IF ITS WRONG!!!!!!!!

Step-by-step explanation:

Answer:

20 inches

Step-by-step explanation:

Turn the middle triangle upside down and fit to the right of the trapezoid. Turn the left triangle upside down and fit it to the left of the trapezoid.

The triangles fit right in making the top side of the combined shape 20 inches long just like the bottom base of the trapezoid.

Answer: 20 inches

Can you please help me

Answers

Answer:

its kinda dificult to explain (easier to show) but ill do my best

Step-by-step explanation:

so for part a you wanna start from the bottom (min) and go acros to the line above 1 then  go three lines up for cookies. you should be on 3, 1

for part b its c lin decorates 21 cookies in 7 min

hello please help thanks

Answers

Answer:

density

Step-by-step explanation:

Given the first term and the common ratio of a geometric sequence find the seventh term of the sequence. a1=2 and r=6​

Answers

Answer:

93312

Step-by-step explanation:

We can use the geometric sequence formula

a= a1(r)^n-1

Substitute:

a=2(6)n^1

a=2 *6^n* 1/6

a=6^n*1/3

Substitute "7" for n:

a(7)=6^(7)*1/3

a(7)=93,312

The giant panda population in China is increasing at a rate of 1.5% each year. There are 1864 giant panda in 2014. Write a function that models the panda population since 2014.

(exponential growth & decay)

Answers

Given:

Giant panda population in 2014 = 1864

The giant panda population in China is increasing at a rate of 1.5% each year.

To find:

The function that models the panda population since 2014.

Solution:

Since population of giant panda is increasing, therefore the function is the exponential growth model.

The general exponential growth model is:

[tex]P(t)=P_0(1+r)^t[/tex]

Where, [tex]P_0[/tex] is the initial population, r is the growth rate in decimal and t is the time period.

Putting [tex]P_0=1864,r=0.015[/tex], we get

[tex]P(t)=1864(1+0.015)^t[/tex]

[tex]P(t)=1864(1.015)^t[/tex]

Where, t is the number of years since 2014.

Therefore, the required exponential growth model is [tex]P(t)=1864(1.015)^t[/tex].

Mrs pender shows her students 2 sticks measuring 6 inches and 2 sticks measuring 8 inches. She asked the student to arrange the sticks to make a two dimensional figure with the greatest possible area. The ways in which Anna Reggie organize the sticks are shown. Which statement comparing the areas of the figures is true?

Answers

Answer:

The answer is A got it correct on the test

Step-by-step explanation:

have a good day!

Answer:

The answer is A

Step-by-step explanation:

Right on ED2021, goodluck!

Plz someone answer these!

Answers

here is a picture of me giving u the answers hole i hekposs u

What’s the answer?!!!!!!

Answers

Answer :
No
Explanation:
It’s an isosceles triangle


Label the lengths of each triangle (opposite, adjacent, hypotenuse) with respect to angle A

Answers

Ok wait I will help you in a sec

Write the following series in sigma notation.
7+11+15+19+23

Answers

This is the answer this is the answer

integers
-51, -203, 36 and -28 ​

Answers

Answer:

Yea, all these numbers are integers.

Step-by-step explanation:

- 51, - 203, - 28 are negative integers.

36 is a positive integer.

-203, -51,-28, and 36
This is to least to greatest. These are also all integers, integers are positive and negative number. Hope this helped lol

Don’t be shyyyy help me out

Answers

Answer:

this 10 class level question

Step-by-step explanation:

how do i solve this i am here for points lOl

Someone please please help please ASAP!!!!

Answers

AnsweR: The answer to that question is, i have no clue just do your ow work and pay attention

Step-by-step explanation:

A density graph for all the possible heights between 0 inches and 40 inches is
rectangular. What is the height of the rectangle in this density graph?
A. 0.04
B. 0.025
C. 0.02
D. 0.0125

Answers

0.02 is the height of the rectangle in this density graph. Therefore, option C is correct.

What is density graph?

A density plot illustrates how data are distributed over a continuous range or period of time. This graph is a variation of a histogram that smoothes out noise by using kernel smoothing to plot values, resulting in smoother distributions. A Density Plot's peaks aid in showing where values are concentrated throughout the interval.

Because they are unaffected by the number of bins used, density plots have an advantage over histograms in that they are better at determining the shape of the distribution (each bar used in a typical histogram). As opposed to a 20-bin Histogram, a histogram with only 4 bins would not produce a sufficiently distinguishable shape of distribution. This is not a problem, though, with density plots.

Let height be the X

X~U(0,50)

Height of the uniform distribution = 1/(50-0)

                                                         = 0.02

Thus, 0.02 is the height of the rectangle in this density graph.

Learn more about density plot

https://brainly.com/question/29201979

#SPJ1

Answer:

0.025

Step-by-step explanation:

HELP FAST PLEASE I'LL MARK YOU BRAINLIEST

Jacky , a student in a geometry class said that the Quadrilateral is a Square. Is she correct? Justify your answer.

Answers

She of a quadrilateral is a shape with four sides and a square has four sides
An Quadrilateral has 4 vertices and 4 sides which resemblances the 4 sides and 4 vertices that a square has.

PLEASE HELP IM ON A TIMER!!!!!
The radius of the circle is 6 inches. What is the area of the shaded sector? Express the answer in terms of Pi. A circle with a radius of 6 inches. The shaded sector has an angle measure of 110 degrees. Recall that Area of the sector = StartFraction n degrees over 360 degrees EndFraction (pi) (r squared). 11 pi inches squared 12 pi inches squared 36 pi inches squared 66 pi inches squared

Answers

What is the shaded sector? We need a picture

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!

Answers

Answer:

option C is most accurate cause it has a longer neck thus helping in more flexible movements

Step-by-step explanation:

Isabela Island, dome-shaped shell.

It seems the neck of this tortoise is the shortest, therefore they cannot reach high places.

Just my guess though.

Which of the following is true?
A. 0 is neither a rational number nor an irrational number
B. -6.175 is an irrational number.
C. Square root of 2 is an integer.
D. 4.833 is a rational number but not an integer.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation

A rational number is a number that can be written as a fraction. 4.833 can be written as 4833/1000.

An integer is a whole number. Whole numbers can not have decimals. Therefore, the answer is D

In a survey of 653 randomly chosen
workers from a manufacturing plant,68
said that they prefer to work the night
shift. The manufacturing plant employs a
total of 2,700 workers. Based on this
information, about how many plant
workers prefer the night shift?

Answers

Answer:

i dont get the question very well pls ask another one

Answer: 281.1

Step-by-step explanation:

2,700 times 68 divided 653


Please help. No files allowed or you will be reported

Answers

Answer:

8/405

Step-by-step explanation:

The probability of it raining today is 30%. What is the probability that it will NOT rain? (answer must be in percent form)

Answers

Answer:

70%

Step-by-step explanation:

An easy way to figure this out is like this: Percentage is out of 100 so that would mean 30% is equal to 30/100. Basically, all you need to do is subtract 100-30 and convert to a percent (just add the percent sign). Boom! 70% is your answer!!!!!!! :)

What is the answer to this equation?

Answers

Answer:

use photomath

Step-by-step explanation:

ur welcome

Greg has cards number 1-20. How likely is it that he will pick a card greater than 3?
a. Unlikely
b. Equally Likely
C. Likely
d. Certain

Answers

Answer:

c.likely

Step-by-step explanation:

Rational Numbers are closed under Subtraction
a) True
b) False

Answers

Answer:

False not subtraction I thought it is division

Step-by-step explanation:

false lolollllllllllll

Jared lost a total of $9.00 on his investment over 2 months. He lost an equal amount of money each month. The following equation describes this situation. −9.00÷2= −4.50

Choice a: Jared's investment was worth $4.50 less than it was two months ago

Choice b: The loss in value on Jared's investment each month was $4.50

Choice c: none of the above
NEED NOW

Answers

Answer:

B

Step-by-step explanation:

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