Which one of the following values of k makes the trinomial 9x^2 + kx + 64 a perfect square

a 24
b 48
c 16
d 42

Answers

Answer 1

Answer:

it is C 16

Step-by-step explanation:

x² - kx + 64

Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8

So, the factors are: (x - 8)(x - 8)

 Foil (or distribute) to get: x² - 16x + 64 The k-value is 16


Related Questions

What is the measurement of Angle x?

Answers

Answer:

A. 95 degrees

Step-by-step explanation:

Both angles should add up to 180

85+_95_=180

A two digit number has to be formed using the numbers 4,5,6 and 7 without repeating the numbers. a) Draw a tree diagram to represent the information above .b) use the tree diagram to work out the probability of a number less than 50? ​

Answers

Any collection of possible outcomes of a chance experiment is called a ... The number of outcomes in the trupe space and then dividing. ... B a) Display the possible outcomes of this selection using a tree diagram.

Triangle DAN is graphed on the set of axes below.
The vertices of ADAN have coordinates D(-6,-1),
A(6,3), and N(-3,10).

Answers

The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have triangle DAN which is graphed on the set of axes.

The vertices of ΔADN have coordinates:

D(-6, -1), A(6, 3), and N(-3, 10)

We can find the area of the triangle using the coordinates of the triangle such as:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with

[tex]\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)[/tex] respectively.

Put these points in the above expression, we get:

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66][/tex]

[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [120][/tex]

Area of the triangle = 60square units

Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.

Learn more about the triangle here:

brainly.com/question/25813512

What is the value of y in the equation 4y - 2(1 - y) = -44?
-23
-15
оооо
-14
-7

Answers

Answer: -7

Explanation:
4y-2(1-y)=-44
Distribute: 4y-2+2y=-44
Combine like terms: 6y-2 = -44
Simplify: 6y = -42
Y = -7


Finding angle measures between intersecting lines

Answers

Answer:

x = 47°

Step-by-step explanation:

From the picture attached,

CPD is a straight line.

Therefore, ∠CPB and ∠DPB is a linear pair of angles.

And linear pair of angles are supplementary.

By the property of linear pair of angles,

m∠CPB + m∠DPB = 180°

133 + x = 180

x = 180 - 133

x = 47°

PLEASE HELP ME
At a digital store, Jay paid a total of $31.35 for games and movie rental. He rented 6 games at $3.99 each game and 3 movies.

How much did Jay pay per movie?

$23.94
$3.48
$7.41
$2.47

Answers

Answer: 2.47

Step-by-step explanation:

6 times 3.99 is 23.94

31.24 minus 23.94 is 7.30

2.47 times 3 is 7.30

I think it is 2.47$

Two angles are supplementary. One angle is 155. What is the measure of the other angle?

Answers

Answer: your answer should be an angle that is greater than 90 degrees.

Step-by-step explanation: a supplementary angle is an angle that is greater than 90 degrees. hope it helps :)

Use Pythagorean Theorem to find the value of x

Answers

Answer: 13

Step-by-step explanation:

pythagorean theorem: a^2+b^2=c^2

plug in values: 5^2+12^2=c^2

solve:

5^2+12^2=c^2

25+144=c^2

169=c^2

13=c

Multiplying Polynomials: Tutorial
3 Question
Enter the correct answer in the box.
Simplify the following expression.
(4x^2 + 8x + 15) + (x^2 - x - 27) - (x + 5)(x - 7)

Answers

Answer:

4x^2 + 9x + 23

Step-by-step explanation:

just factor the last equation and combine them all.

Please help me. And thanks for being so helpful

Answers

Answer:

(Cake, Lime)

(Sugar, Strawberry)

(Waffle, Strawberry)

Step-by-step explanation:

Answer:

(cake,lime), (sugar,strawberry), (waffle,strawberry).

Step-by-step explanation:

Can someone please correct me please I beg you

Answers

Answer:

D

Step-by-step explanation:

The area of a circle can be find with this formula:

radius^2 π

in this case we have the diameter, so we have to divide it  by two

radius = 16 : 2 = 8 ft

area = 8^2 π

An expression is shown
1608÷268
What is the value of the Expression

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1608/268=6

268*6=1608

**next time try to figure it out with a calculator before asking on brainly, it'll save you the points**

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

rotate the given triangle 180° counterclockwise about the origin. Help!!!!​

Answers

Answer: (read vertically) [0,0/3,-1/-5,-2]

Step-by-step explanation:

[-1, 0] times [0, -3, 5]

[0, -1] [0, 1, 2]

hopefully this makes sense.

The rotated triangle by 180° counterclockwise about the origin is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

How to rotate the triangle?

The coordinates of the triangle are given as:

[tex]\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right][/tex]

The rotation is given as:

180° counterclockwise about the origin.

The rule of 180° counterclockwise about the origin is:

(x,y) ⇒ (-x,-y)

Using the above rule, we have:

[tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

Hence, the rotated triangle is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

Read more about rotation at

https://brainly.com/question/16691874

#SPJ6

I took a pic I hope that's fine​

Answers

Answer:

20/35

Step-by-step explanation:

The framed wall art Modern is 20 and the total is 35  so unless you have to simplify this should be the answer

In the figure below, the measure of angle ABD = 64 degrees. The measure of angle ABC = 3x + 6. the measure of angle CBD = 2x - 2. Using the angle addition postulate, find the value of x.

Answers

Answer:

x=12

Step-by-step explanation:

just combine them so they equal the 64 then solve from there and you get 12.

how do write an equation for this hyperbola from the foci?

Answers

Answer: Memorize the formula

Step-by-step explanation:

( x / a )^2 - ( y / b )^2 = 1

Where a and b are the semi-axis

The value of a is half the distance from points that cuts off x-axis, in this case

From -5 to 5 there is 10 so 5 is value of "a"

Value of b can find by the formula

c^2 = a^2 + b^2

Which c is the value of the point bold on the rightmost place in x axis. In this case its 13

13^2 = 5^2 + b^2

169 = 25 + b^2

b = 12

SO we got a = 5, b = 12

ANSWER: (x/5)^2 - (y/12)^2 = 1

Luis is making cookies. He needs 1 1/4 cup of sugar to make 12 cinnamon cookies and 1/2 cups of sugar to make 24 chocolate chip cookies. How many cups of sugar does he need to make both recipes? ​

Answers

Answer: 1 3/4 cups of sugar

Step-by-step explanation:

To make the first recipe, Luis needs 1 1/4 cup of sugar.

To make the second recipe, he needs 1/2 cup of sugar.

The number of cups of sugar that he need to make both recipes will be gotten by adding both cups of sugar together. This will be:

= 1 1/4 + 1/2

= 1 1/4 + 2/4

= 1 3/4

Therefore, 1 3/4 cups of sugar are needed

Please help I will give brainlyest!!!
If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object?

Answers

Answer:

cylinder

Step-by-step explanation:

Answer

cylinder!!

Step-by-step explanation:

so the points "(1, 1), (1, 4), (3, 4) and (3, 1)" they are all positive so this makes this easier tbh so it looks like this once u put them on a grah

.        .

.        .

its a rectangle then it says to rotate on y = 1 which u look at the graph u just put this rectangle on its side like this

.               .

.               .

so then look at the answer options

A.) Cone

B.)Cylinder

C.)Sphere

D.)Pyramid

so it CANT be A bc 1 its a rectangle and if it was a cone it would have 3 points, not 4, bc it would be a triangle

It can be B bc on a graph it will be 2D and a Cylinder has 4 points on a graph(in 2D) which the problem is telling you to make something 2D into something 3D...and is a rectangle in 2D

It CANT be a C bc in 2D it would be a circle and straight up, a square isnt a circle, and the points on the problem is a square ant there would be so many points to put down if it was a circle

It CANT be a D bc once again this would be a triangle and that would have 3 points, or maybe 5(if your looking overhead of the Pyramid where u can see all 4 corners, like a square then the middle point) so a square has all equal sides, rectagle does not, it has 2 and 2 equal sides. 2 sides being small and paralell, and 2 long sides being parallel.

:) have a good day

btw answer is

cylinder!!

anyone know this?????

Answers

Answer:

(- 2, 1 ) and (1, 4 )

Step-by-step explanation:

Given the 2 equations

y = - x² + 5 → (1)

- x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by adding x to both sides

y = x + 3 → (3)

Substitute y = x + 3 into (1)

x + 3 = - x² + 5 ( subtract - x² + 5 from both sides )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Substitute these values into (3) for corresponding values of y

x = - 2 : y = - 2 + 3 = 1 ⇒ (- 2, 1 )

x = 1 : y = 1 + 3 = 4 ⇒ (1, 4 )

Step-by-step explanation:

its a false equasion x € R

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7. What is the perimeter of rhombus LMNO? 20 units 24 units 40 units 48 units

Answers

Answer:

48units

Step-by-step explanation:

Find the diagram of the rhombus attached

From the diagram, LM = MN

Hence;

3x - 3 = x + 7

Find x

Add 3 to both sides

3x - 3 + 3 = x + 7 + 3

3x = x + 10

3x - x = 10

2x = 10

x = 10/2

x = 5

LM= 3x - 3

LM = 3(5) - 3

LM = 12

Since LM = MN, then MN = 12

Since all the sides of the rhombus are equal then;

Perimeter of the rhombus = LM + MN + NO + OL

Perimeter of the rhombus = 12 + 12 +1 2 + 12

Perimeter of the rhombus = 48units

Answer:

48 Units is the answer

Step-by-step explanation:

EDGE2021

Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?

Answers

Answer:

60%

Step-by-step explanation:

Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.

They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:

6/10 = 0.60, or 60%

Tina has a 60% chance of drawing a nickel from her pocket.

~

Find the domain of the relation:
{(-5, -4), (-2, -1), (1, 0), (2, 2), (4,3)}
O {-5, -4, -2, -1, 0, 1, 2, 3, 4}
O {-5.-2. 1. 2. 43
(-4,-1.0.2, 3)
-4.-1.2.3)

Answers

the domain is -5, -4, 1, 2, 4

when should you record the information about a check that you wrote in your resister?

Answers

Answer:

At least once a month you should check your personal information, including your email and phone number, to make sure those things are up to date. Also, you may want to change your mobile and online banking password every three to four months.


A shop sells bag of peanuts for two dollars and a bag of walnuts for five dollars at nine bags of purchase for total cost of $36 how many bag of walnuts were purchased purchased

Answers

6 bags of walnuts and 3 bags of peanuts

6 x 5 = 30
2 x 3 = 6
30 + 6 = $36

Write the number in 2 equivalent forms as a​ fraction, decimal, or percent.
0.75

What is the equivalent​ fraction?

Answers

Answer:

=0.75

=3/4

=75%

Step-by-step explanation:

0.75 is 75% as a percentage,

And 3/4 as a fraction.

Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diameter of 20 meters.

Answers

Answer:

10054.4m^3

Step-by-step explanation:

Given data

Height= 32m

Diameter= 20m

Radius= 10m

The expression for the volume of a cylinder is given as

V= πr^2h

Substitute

V= 3.142*10^2*32

V= 3.142*100*32m^3

Hence the volume is 10054.4m^3

Answer:

cylinder with a height of 8m and a diameter of40m

cylinder with a height of 128m and a diameter of 10m

Step-by-step explanation:

got it right on edge may 2021. also sub to Troy's Movies on you tube

Your new car cost $32,000 but it depreciates in value by about 25% each year. Write an equation that would indicate the value of the car at x years.

A. y = 32000(.25)×
B. y = 32000(1.25)×
C. y = 32000(.75)×​

Answers

Answer:

C, after 1 year, it has 75 percent of its original value

Step-by-step explanation:

Quadrilateral ABCD has vertices A(- 3, 1), B(4, 2) B(4, 2), C(9, - 3) , and D(2, - 4) . aProve that quadrilateral ABCD is a rhombus b )Prove that ABCD is not a square .

Answers

9514 1404 393

Explanation:

The vectors representing the diagonals are ...

  AC = C - A = (9, -3) -(-3, 1) = (12, -4)

  BD = D - B = (2, -4) -(4, 2) = (-2, -6)

The dot-product of these vectors is the sum of the products of corresponding coordinates:

  (12)(-2) +(-4)(-6) = -24 +24 = 0

When the dot-product is zero, the vectors are perpendicular. These vectors are different lengths (BD = 1/2·AC), so they are not the diagonals of a square.

__

The midpoints of the diagonals will be in the same place if the quadrilateral is a rhombus.

  (A +C)/2 = (B +D)/2

We can simplify our effort a bit by multiplying by 2.

  A+C = B+D

  (9, -3) +(-3, 1) = (2, -4) +(4, 2)

  (6, -2) = (6, -2) . . . . . . . . . . . . . . . . yes, the midpoints are the same point

__

We have shown the diagonals of the quadrilateral are different lengths and perpendicular bisectors of each other, so the quadrilateral IS A RHOMBUS, NOT A SQUARE.

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

c

Step-by-step explanation:

8th grade math simple help

Answers

Answer:

1) x = 30

2) x = 11.6

Step-by-step explanation:

1) 2x = 4x - 60   (vertical angles are equal)

subtract 4x from each side of the equation:

-2x = - 60

divide both sides by -2:

x = 30

2) 7x + 16 + 3x + 48 = 180°   (supplementary angles add up to 180°)

combine like terms:

10x + 64 = 180

subtract 64 from both sides of the equation:

10x = 116

divide both sides by 10:

x = 11.6

Other Questions
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase, 100, of the original number of responses, 80?a. 55%b. 80%c. 100%d. 125% 40 points and brainliest to the best correct answer 10 things i've been meaning to say to you PLEASE HELP ME !! Help me please ?!?!?!?!?! 8x + y = 20x - 2y = -6 Please select the word from the list that best fits the definitionyour parent's friendtustedustedes Your business is looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done if you sign with all 3 companies? $21,000 loss $81,000 loss $21,000 profit $81,000 profit PLEASE HURRY!!!In the preparation of the Krebs Cyclea) Glycolysis will be broken down in Pyruvateb) Pyruvate will be transformed into Acetyl-COAc) Acetyl-CoA will be transformed into Pyruvated) Ethanol will be produced 7.According to the periodic table, how many total particles are there in the nucleus of a Titanium, Ti, atom? the catalyst for the market revolution was a series of innovations in Find the equation of the line that passes through (1,-2) and is parallel to y = 3x + 4.Leave your answer in the form y = mx + c In which ancient civilization was healthy living and exercise very important WHICH RESERVOIR OF THE CARBON CYCLE CHANGES THE MOST AND THE QUICKEST? (please helpp) 1. I am seven letters long.2. My 1, 2, and 3 will keep you warm.3. Without 1, 2, and 4, it really hurts.4. My 1, 5, and 7 are a positive verb.5. Put all my letters together and I givethe orders.What am I? Which characteristic best supports that an offspring is produced by sexual reproduction and not asexual reproduction? In "The Pardoner's Tale" of Chaucer's The Canterbury Tales, what is one characteristic of an allegory?O A. a story that occurs within the storyO B. rhyming of every two linesO C. a tale that is told as a long prose poemO D. the use of characters to stand for ideas Questlon 3 OT TUWhat is the effect on the graph of f(x) = x2 when it is transformed toh(x) = * x2 +12?A. The graph of f(x) is vertically compressed by a factor of 5 andshifted 12 units to the left.B. The graph of f(x) is horizontally compressed by a factor of 5 andshifted 12 units up.C. The graph of AX) is vertically compressed by a factor of 5 andshifted 12 units up.D. The graph of f(x) is horizontally stretched by a factor of 5 andshifted 12 units to the left.SUBMIT Which organism in this food web would you expect tohave the greatest amount of biomass if a biomasspyramid was created for this ecosystem? Hello, i'm looking for someone to help me with my missing math hw? Clair de lune was written by Maurice Ravel.true or false