completing the square k^2-2k-8=0

Answers

Answer 1

[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]


Related Questions

Please Help!!! Will Mark Brainliest!

Answers

Step-by-step explanation:

from my side it's blury, try to send it again

Describe the graph of the function. y = |x – 4| – 7

The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).

Answers

Answer:

The graph is an absolute value function with vertex (4, –7)

Step-by-step explanation:

|x-4| is always positive

minimal value of |x-4| = 0

x-4 = 0           x=4

y = |4-4| - 7 = -7

Do number 5 please. Please bots don’t answer I’m just trying to get help!!!! :( please

Answers

Answer:

(a) 40 units

Step-by-step explanation:

32/16=2

20 times 2=40

Answer:

A

Step-by-step explanation:

Since square pyramids A and B are similar, they need to have similar lengths.

Pyramid B's lengths are 2 times larger than that of pyramid A.

Pyramid A: 16 units, 16 units, 20 units.

                     *2            *2           *2

Pyramid B: 32 units, 32 units, ? units

So, the missing side length has to be 20 *2 = 40 units.

Please mark as brainliest!

Please help asap.
I will give brainliest

Answers

Answer:

#1 20

#2 17

#3 14

#4 14

#5 12

#6 14

#7 10

#8. 20

#9. 20

Step-by-step explanation:

1 12+8=20

2 10+7=17

3 8+6=14

4 8+6=14

5 10+2=12

6. 8+6=14

7 4+6=10

8. 12+8=20

9 14+6=20

Now honey I can't do all your work for you im.not trying to be mean but work some.out heres a tip use a calculator to help you when you get stuck ask me your question and then I will hold you ok

The function h defined by h (t) = 4.9 (10+t) (10 - t) models the height, in meters, of an object t seconds after it is dropped from a
helicopter

Answers

Answer:

(a) 10 seconds

(b) 490 meters

Step-by-step explanation:

(A)

When the object hits the ground, it shows that the height is 0. Hence, h(t) = 0.

0 = 4.9(10+t)(10-t)

0 = (10+t)(10-t)

t = 10, -10

Since time cannot be negative, t = -10 will be rejected.

Therefore, t = 10 seconds

(B)

Based on the question, "t seconds after the object is dropped from a helicopter", means that the time starts right after the object is dropped from the helicopter, this shows that t = 0.

h(0) = 4.9(10+0)(10-0)

= 4.9(100)

= 490 meters

a
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. Which equation could be used to determine the volume, in cubic inches,
of the vase?
А
V = 7(5)?(7)
B
V = 70(7)?(5)
C
V = 7(7)?(2.5)
DV = 7(2.5)(7)
ca
hurry up i need this pls

Answers

Answer:

a

Step-by-step explanation:

sorry if it's wrong

Convert: 2589 millimeters = ______ kilometers

A. 2,589,000,000 km

B. 2,589,000 km

C. 0.002589 km

D. 0.2589km

Answers

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

answer is 3

a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 25 - 16
b^2 = 9
b = square root of 9
b = 3

Please help for mooolah :(((

Answers

Answer: 61 in^2

Step-by-step explanation

triangle length = half of left side + 1.5

triangle length = 2 + 1.5 = 3.5

triangle area = (.5)(base)(length)

triangle area = (.5)(6)(3.5) = 10.5

you have 2 triangles

10.5 + 10.5 = 21

area of rectangle = left side width x length

area of rectangle = 4 x 10 = 40

add areas

21 + 40 = 61

Answer:

61 in^2

Step-by-step explanation:

The arrow is made of a rectangle and a triangle.

The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2

The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2

add everything together.

Is it possible for a rhombus to have an angle of 120° and an angle of 30°?
give an explanation please.

Answers

Answer:

Step-by-step explanation:

if I’m correct please mark Brainalist

From the properties of a Rhombus;

Opposite angles of a rhombus are equal. The adjacent angles of a rhombus are supplementary, i.e. adds up to 180 degrees.

If one of the angles of a rhombus is 120 degrees, and sum of the adjacent angles is 180 degrees, then, the adjacent angle will be 60 degrees (180-120=60)

If one of the angles of a rhombus is 30 degrees, then, the adjacent angle will be 150 degrees (180-30 =150)

Thus, the sum of 120 and 130 is not supplementary and definitely can not be adjacent

Hence, it is not possible hope this helps !

No, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.

What is rhombus?

" Rhombus is a quadrilateral whose opposite side are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary."

According to the question,

Given,

Measure of the angle are 120° and 30°.

If we consider both the angles are opposite [tex]120 \neq 30[/tex]

then as per property of congruent angle in rhombus,  it is not correct.

For adjacent angle, [tex]120 + 30 \neq 180[/tex] they are not supplementary.

Again it is not true for rhombus.

Hence, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.

Learn more about rhombus here

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Expand & simplify
4
(
2
g
+
3
)

5
(
4
g

4
)

Answers

Answer:

-12g+32

Simplify and combine like terms.

P=1/2

q=-1/3

r=1/5


30pqr(p+q+r)/(p+q)(p+r)


Answer -22/7

Answers

Answer:

Given:

[tex]p=\dfrac12[/tex][tex]q=-\dfrac13[/tex][tex]r=\dfrac15[/tex]

Given expression:

[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]

Substitute given values into given expression:

[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]

[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]

[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]

[tex]\implies -\dfrac{660}{210}[/tex]

[tex]\implies -\dfrac{22}{7}[/tex]

Please help, i will mark as brainliest

it is given that the volume of the paint, x litres, varies directly as the area of the wall, d m². if 3 litres of paints can paint 36 m² of wall, calculate the volume of the paint in litres, needed to paint a wall of 9 m in height and 5 m in width.​

Answers

Answer:

3.75 L

Step-by-step explanation:

3 liters / 36 m^2 = x liters / 9 x 5 m^2

3 liters / 36 m^2 = x liters / 45 m^2

(45)(3) = (x)(36)

(135) = (x)(36)

x = (135)/(36)

x= 3.75 L

If u have 18 gallons of gas an you drove 250 miles how much gas is left

Answers

Answer:

Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic

Step-by-step explanation:

5. A bottle contains 2 liters of juice. How many milliliters of juice is that?

Answers

Answer:

The answer would be 2000

Step-by-step explanation:

Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)

Please help me out! I would also love an explanation on how to find the ratio and the answer​

Answers

Answer:

A

Step-by-step explanation:

This will have slope in it, so bear with me.

We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)

Lets fill it out.

[tex]\frac{-4-(-1)}{-4-3}[/tex]

It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]

So it is A

A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40

Answers

By using the given domain and range, we will see that the false statements are:

1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88

Which statement is false?

What we know about the function f(x) is:

The domain is: -10 ≤ x ≤ 20

The range is: -40 ≤ f(x) ≤ -10

Which statements are false:

1)  f(0)= 0

This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.

2. f(1) = 13

Same reasoning than above, 13 is outside of the range.

3. f(-15) =- 20

The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.

4)  f(-9) = 88

88 is outside the range of the function, so this is false.

If you want to learn more about functions, you can read:

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A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?

Answers

Answer:

16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.

Therefore 48 * 4 = 192 servings.

A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,

As we know,16 cups are in a gallon,

1 gallons = 16 cups

3 gallons = 3 × 16 cups

3 gallons = 48 cups

If 1 cup of milk works for 4 servings,

The number of servings that can be made from three gallons will be,

=48 × 4

= 192 servings.

Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

Learn more about the arithmetic operation here:

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Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.

Answers

Answer:

Below in bold.

Step-by-step explanation:

By proportion she can make 3 1/3 * 1 / 2 1/2 truffles

= 10/3 * 1 / 5/2

= 10/3 * 2/5

= 20 / 15

= 1 1/3 dozen truffles from 1 pound chocolate.

1 1/3 dozen  truffles is made from 1 pound

4/3  . . ..   ..     ..    ..   ..   ..         1  pound

1     . . ..   ..     ..    ..   ..   ..          3/4    ..

5     . . ..   ..     ..    ..   ..   ..         3/4  * 5  =  15/4 pound of chocalote=

3 3/4 pounds chocolate.

the greatest common factor of 3x^4-12x^2

Answers

Answer:

3x^2

Step-by-step explanation:

3x^4-12x^2

Factoring out 3x^2

3x^2 ( x^2 -4)

We can factor (x^2-4) since it is the difference of squares

3x^2 ( x-2) (x+2)

The greatest common factor is 3x^2

hello!

Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².

The key words here are "common" and "greatest".

Here are some common factors:-

3

3x

3x²

x

And the greatest common factor is:-

3x²

[If Necessary]

Factor it out by dividing the terms in the polynomial by the GCF:-

4

Subtract the terms:-

(x²-4)

And put the G.C.F. outside the parentheses:

3x²(x²-4)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Volume of a Cone Level 1

Answers

The volume of the cone is the amount of space in it

The volume of the cone is 264.3 cubic inches

How to determine the volume?

The given parameters are:

Height, h = 9.9 inDiameter, d = 10.1 in

The volume of a cone is then calculated as:

V = 1/3π(d/2)²h

This gives:

V = 1/3 * 3/14 * (10.1/2)² * 9.9

Evaluate the product

V = 264.256905

Approximate

V = 264.3

Hence, the volume of the cone is 264.3 cubic inches

Read more about volumes at:

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The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.

Answers

The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

What is normally distributed data?

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The times of the runners in a marathon are normally distributed, with

Mean of 3 hours and 50 minutes Standard deviation of 30 minutes.

Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.

The probability of runner selected with time less than or equal to 3 hours and 20 minutes,

[tex]P=1-0.84\\P=0.16[/tex]

Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

Learn more about the normally distributed data here;

https://brainly.com/question/6587992


Find the surface area of a cylinder with a base radius of 2in and a height of 4in use the value 3.14 for n

Answers

Answer:

  75.36 in²

Step-by-step explanation:

The surface area of a cylinder can be found from the formula ...

  A = 2πr(r +h) . . . . . where r is the radius and h is the height

__

Using the given dimensions, we find the area to be ...

  A = 2(3.14)(2 in)(2 in + 4 in) = 75.36 in²

The surface area of the cylinder is about 75.36 square inches.

What geometric shapes can you draw that have exactly four pairs of perpendicular sides? Use

pencil and paper. Sketch examples for as many different types of shapes as you can.

Which of these types of geometric shapes can have exactly four pairs of perpendicular sides?

Select all that apply.

A. Triangle

B. Parallelogram

OC. Rectangle

D. Regular pentagon

Answers

Answer:

rectangle

it has four perpendicular sides

each perpendicular is 90degree

Answer: Rectangle and square

Step-by-step explanation: They both have four right angles

okay, triangular prism volume formula. b is base, B is area of base (i think) V is volume, h is height, but I forgot what H is.
Also, how has your day been? :)

Answers

Answer:

good and how do you forget wut H is?

Step-by-step explanation:

PLEASE HELP ME????



THank you ! :)

Answers

you can replace the m with 14 to get an equation of: 52+14=66

What is 180 divided by 2

Answers

Answer:

90

Step-by-step explanation:

Do it on the calculator 180÷2

Which expressions are equivalent to the one below? Check all that apply. 3^4 * 3^x

A. 3^4 -x
B. 9^4x
C. 81*3^x
D. (3*x)^4
E. 3^4x
F. 3^4+x

Answers

Answer:

F, 3^4+x

Step-by-step explanation:

You just have to add the powers together but not the actual base, you keep it as it is

Find the perimeter of the cabin below.​

Answers

the image is formed of a rectangle and a square

perimeter of the cabin = perimeter of rectangle + perimeter of square

= 2(l+b) + 4×side

= 2(7+5) + 4×5

= 24 + 20

perimeter of the cabin = 44 cm

what is the product of 237 and 962?

Answers

Answer:

227994

Step-by-step explanation:

Answer:

value x value = product

237 x 962 = product = 227,994

Step-by-step explanation:

hope this helps,

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