if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?

Answers

Answer 1

Step-by-step explanation:

x² + 16x + 64 = (x + 8)². Hence p = 8.

Since (x + 8) is a factor of 4x² + 37x + k,

4(-8)² + 37(-8) + k = 0. (by Factor Theorem)

=> 256 - 296 + k = 0

=> k - 40 = 0

=> k = 40.

The value of k is 40.


Related Questions

What is cos 63°? Round your answer to the nearest hundredth.

A. 0.89
B. 0.45
C. 0.17
D. 1.96

Answers

Answer:

B. 0.45

Step-by-step explanation:

Use the cos function in a calculator for the degree measure of 63°.

The value of cos 63° is 0.45.

Option B is the correct answer.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

To find cos 63°, we can use a calculator or a table of trigonometric functions.

Now,

cos 63° ≈ 0.447

Rounding to the nearest hundredth, we get:

cos 63° ≈ 0.45

Therefore,

The value of cos 63° is 0.45.

Learn more about trigonometric identities here:

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HELP I'm running out of time ​

Answers

Answer:

VT, TU, UV.

Step-by-step explanation:

The smallest angle is always across from the shortest side. And the longest angle is always across from longest side.

help me please!!!!!!!!!

Answers

Answer:5.6

Step-by-step explanation:112 divided by 20=5.6

What is the value of x in the rhombus below?
O A. 17
O B. 35
O C. 53
O D. 37

Answers

Answer:

∴ x= 17

Step-by-step explanation:

the total of angel in 90°

∴ 2x+3+3x+2 =90

∴ 5x +5 =90

  5x=90-5

  5x = 85  (divide both side by 5)

∴ x= 17

Answer:17

Step-by-step explanation:

big brain knowledge

5(p + 10) = (Simplify your answer.)​

Answers

Answer:

Here it is simplified

Step-by-step explanation:

The answer is 5p+50

Step 1: Multiply 5 and p together. Which is 5p

Step 2: Multiply 5 and 10 together. Which is 50.

Step 3: Since there is nothing to solve for, just put the two terms together. Which would be 5p+50.


Hope this helps✨❤️

1. Write the postulate that confirms each statement. ​

Answers

Step-by-step explanation:

1. Angle GFH and Angle KFH forms linear pair

and hence they are supplementary

( sum of the angles = 180° )

A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade.How many girls are in a group that has 16 boys?

Answers

Answer:

18 girls I think.

Step-by-step explanation:

Find the value of x.



Group of answer choices

77

34

69

146

Answers

Answer:

x = 69

Step-by-step explanation:

∠K = 180 - 146 = 34

34 + x + 77 = 180

x = 180 - 77 - 34

x = 69

A quadrilateral has vertices A(4, 5), B(7, 7), C(6, 8), and D(4, 7). The image of the quadrilateral has vertices A"(–6, 0), B"(–9, –2), C"(–8, –3), and D"(–6, –2).
Which transformations may have taken place?
A. T (-2, 5) r y=x
B. T(-2,5) R 0,180
C. r y=x T(–2, 5)
D. R 0,180 T(-2,5)

Answers

Answer:

D

Step-by-step explanation:

Is this graph continuous or discontinuous?

Answers

Discontinuous if I’m not mistaken

10 -(-6) can someone solve this for me please

Answers

Step-by-step explanation:

1 0 +6 =16

........................

Answer: its 16 :)

Step-by-step explanation: see the negitive sign next the negitive, that means its positiveee

Complete the steps for using a Area Model to solve 504 ÷ 14

//Please help this is my last thing ​

Answers

Answer: hc

Step-by-step explanation:

Explain why -6(3)=-18

Answers

Answer:

Step-by-step explanation:

- 6 (3)=-18

when you multiply  6 x 3. it would be 18 using multiplication and then a positive and a negative equals a negative so then a the 18 would become - 18.

1) -1 = x – 5
2) -5x + 2 = 17

PLS ANSWER PLS PLS PLS

Answers

Are you trying to do substitution or elimination?

Which set of ordered pairs represents a function? O{(-6,1), (7,2), (6,5), (-6,-1)} O {(8,7),(-8,-4),(4,8), (-8,1)} O {(-2,7), (-2,0), (0, -6), (-4,0)} o {(-2,-4), (-7,1), (8,3), (3,3)}​

Answers

(-2,-4), (-7,1), (8,3), (3,3)

can somebody please ..

Answers

Answer:

Concept: Graph Analysis

We must look for a negative function that crosses the y-axis at 4.Hence the Blue line

I WILL GIVE BRAINLIST!
Showthat (1+i)2 = 2i

Answers

Answer:

(1+i)2=2i

Step-by-step explanation:

Since the 2 is on the outside of the) then that means it is multiplying and if you multiply 1x2 it will equal.2

Then if you were to multiply 2 x the i it will get 2i then you add it to get 2i

Answer:

Use formula (a + b)² = a² + 2ab + b²

(1 + i)² =1² + 2*1*i + i² =1 + 2i + (-1) =2i

whats 16, −24, 9, −30, 25 least to greatest?

Answers

Answer:

-30, -24, 9, 16, 25

Answer:

30-, -24, 9, 16, 25

Step-by-step explanation:

Evaluate the exponent expression for a = –1 and b = 2.


–3ab–2


Question 3 options:


5/8


3/4


3



12

Answers

Answer:

To find the answer, we simply have to substitute the values for a and b that the question gave us into the expression.

In this case, that would be substituting a = -1 and b = 2 into -3ab - 2.

[tex]-3(-1)(2) - 2[/tex]

[tex]= 3(2) - 2[/tex]

[tex]= 6 - 2[/tex]

[tex]= 4[/tex]

Hence, the answer is 4. However, there is no option with 4 for Question 3, so I would suggest OP to check the question again to confirm if there is no option with the answer as 4.

Step-by-step explanation:

Hope this helped!

Answer:

its 3/4

Step-by-step explanation:

3/10 divided by -3/7

Answers

Answer:

- 7/10

Step-by-step explanation:

There you go hope alls well.

the answer would be -7/10

a race car driver completes 30 laps in 15 minutes at a constant speed.


What's is the driver's speed?​

Answers

Answer:

2 laps per second.

Step-by-step explanation:

30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.

Which two traits are aquired during a person's lifetime?

Answers

Answer

D and A?

Step-by-step explanation:

20)
Rachael has two jobs. She earns $9 per hour babysitting, and she earns $12 per hour working at the coffeehouse.
Rachael wants to earn a minimum of $240. Which inequality represents this situation, if x represents hours babysitting
and y represents hours at the coffeehouse?
A)
12x + 9y <240
B)
9x + 12y > 240
0
12x + 9y s 240
D)
9x + 12y 2 240

Answers

Answer:

babysitting = $9

working at coffeehouse = $12

x = hours for babysitting

y = hours at coffeehouse

minimum = ≥

9x + 12y ≥ 240

Step-by-step explanation:

just a short note on which symbol you should use when you see these words in inequality questions:

i) use ≥

-more than or equal to

-not less than

-at least

-minimum

ii) use >

-more than

-greater than

iii) use ≤

-less than or equal to

-not more than

-at most

-maximum

iv) use <

-less than

The inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Rachael earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.

x is the number of hours babysitting.

y is the number of hours at the coffee-house.

9x + 12y ≥ 240

Because, Rachael wants to earn a minimum of $240.

Thus, the inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.

Learn more about the inequality here:

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Solve #13 & #14 please ASAP!!!

Answers

Answer:

4th test is a great

Step-by-step explanation:

ok is the for this year as a family

Help anyone
8th grade math need it asap

Answers

Answer:

[tex] \frac{7}{10} [/tex]

Answer:

7/10

Step-by-step explanation:

If you move the decimal point to over to the right, also known as multiplying by a hundred, then you get 70. Right now we have 70/100

Simplify even further you would get 7 / 10

PLEASE, ANYONE, HELP!! I WILL GIVE BRAINLIEST IF YOU'RE CORRECT AND 20 POINTS!!

Answers

Answer:

-300

Step-by-step explanation:

z = -21/0.07

z = -300

Answer:

-300

Step-by-step explanation:

Divide -21 by 0.07 to get -300

Apply the distributive property to: 3(u+6)

Answers

Answer:

3u + 18

Step-by-step explanation:

times the 3 to both

Answer:

turn it into 3u+18

Step-by-step explanation:

Haylee swam for 1 and 1/2 hours on Saturday and 1 and 2/3 hours on Sunday. How many hours did she swim in all?

Answers

Answer:

She swam for 3 hours 10 minutes

Divide. Write in simplest form.
3/4 divided by 1/8

Answers

Answer:

when you divide 3/4 by 1/8 you get 6

HEYYYYYYYYYYY YALLLLLLLLLLLLLLLL ADDDDDDDDD MEHHHHHHHHHHHHHHHHH

Answers

Answer:

I think the answer is D  

Step-by-step explanation:

A cuz yea and that’s awnser jenehehejejdjjdjdhdbehejsud
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