Mathematics College

Solve by completing the square

Answers

Answer 1

Answer:

X¹=-11; X²=3

x ^ 2 + 8x - 33 = o

x ^ 2 + 11x - 3x - 33 = 0

x(x + 11) - 3(x + 11) = 0

(x + 11)(x - 3) = 0

Related Questions

Your backyard is 60 feet long and 50 feet wide. You install a circular pool with a 10-foot radius. What is the area of the backyard, in square feet, that can be planted with grass? Round your answer to the nearest whole number (Area of a rectangle = base x height) (Area of a circle = 3.14 x (radius) ^2)

Answers

Answer:

2686

Step-by-step explanation:

First let's find the area of the garden.

[tex]60 \times 50 = 3000ft {}^{2} [/tex]

Now let's find the area of the pool.

[tex]3.14 \times 10 {}^{2} [/tex]

[tex]3.14 \times 100 = 314ft {}^{2} [/tex]

Lastly subtract both products.

[tex]3000 - 314 = 2686[/tex]

Triangle ABC is isosceles.

Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.

What is the measure of angle C?

25°
30°
60°
75°

Answers

Answer: 75⁰°

Answer: 75⁰°Step-by-step explanation:

Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides

If the mass of an object on Earth is 9 grams, what would the mass of the same object be on
the Moon?

Answers

Answer:

1.49 Grams

Step-by-step explanation:

Answer:

9 gms.

Step-by-step explanation:

mass will be same.

weight will be different.

PLEASE HELP IT"S MATHHHHH< I"LL MARK U BRANLIEST

Answers

Step-by-step explanation:

we cannot read the name of the vertical line through B, but I guess that is "m".

so, if we reflect ("mirror") the line BC across "m", then B stays where it is (on line "m"), and C flips over into A.

therefore, if I understand the question correctly, the second option (line BA) is right.

because the reflected image of line BC is line BA.

4 2 5 0
3 2 8 7
2 1 8 ?

Answers

Answer:

Step-by-step explanation:

the table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for each letter grade to complete the table. Use pencil and paper. What additional information does the relative frequency give that the frequency doesn't? Explain.

Answers

Answer:

0.12,0.16,0.37,0.2,0.15

Step-by-step explanation:

A. 36 divided by 300 = 0.12

B. 49 divided by 300 = 0.16

C. 111 divided by 300 = 0.37

D. 60 divided by 300 = 0.2

F. 44 divided by 300 = 0.15

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

The probability of getting at least 1 blue is 6/11

Let me know if you want an explanation :)

Which of the following units are units of capacity? Select all that apply.

Answers

The basic units of measurement of capacity are liter (l) and milliliter (ml). To measure smaller quantities of liquid, we use milliliter (ml) and to measure larger quantities we use liter (l).

Three and one fifth of 1 1/2 is what number?

Answers

Answer:

10 6/25

Step-by-step explanation:

"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.

Then "three and one fifth" of 1 1/2 is:

3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25

Frank ate 2/8 of the apple pie and
Jose at 3/8 of the cherry pie. How
much pie did Frank and Jose eat
altogether?

Answers

The answer is 5/8 because 2+3 is 5

Answer:

answer 5/8 because 2/8 + 3/8= 5/8

what is the area of the triangle

Answers

Answer:

Use this to answer your question :)

Step-by-step explanation:

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Answer:

54 units²

Step-by-step explanation:

Formula we use,

→ Area = ½ × b × h

Now the area of the triangle is,

→ ½ × b × h

→ ½ × 18 × 6

→ 9 × 6

→ 54 units²

Hence, the area is 54 units².

A Cinema has 240 seats. 144 seats were sold
for the current movie. What percent of seats
are empty?

Need help please :)

Answers

Answer:

the answer is 40%

Step-by-step explanation:

240 – 144 = 96

96÷240=0.4=40%

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Help picture below problem 12

Answers

Answer:

80 degrees

Step-by-step explanation:

This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.

And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)

what does 1/10 + 1/100 equal?

Answers

in what terms? in decimal form, it would be .11

Answer:

0.11

Step-by-step explanation:

[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]

Find the area of the 2.5 m circle using 3.14 or 2/7 four pi

Answers

Answer:

Formula for area of circle;

A = π[tex]r^{2}[/tex]

Where 'π' represents pi (22/7 or 3.14), and 'r' is the radius which is being squared.

Plug in your values:-

A = π[tex]r^{2}[/tex]

A = 3.14(2.5^2)

A = 3.14(6.25)

A = 19.625 meters is your answer.

40 Points !!!!

Find the slope of line e.

a. -1/2

b. 1/2

c. -2

d. 2

Answers

maybe d i actually don’t know i’m just copying the first person who said that

what is the angle measure of an arc bounding sector with an area of 5pie square miles?

Answers

if the diameter is 20, the its radius must be half that or 10.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}[/tex]

Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?

Answers

Step-by-step explanation:

1 kilowatt=1000 watt

tv watch time=4*30=120

the watt tv consume=120*150=18000

the kilowatt tv consume=18000/1000=18

electricity cost =10*18

180 cents

Solve and will mark brainliest

Answers

Answer:

24 degrees

Step-by-step explanation:

24 degrees because

angle a is 24 degrees

and since its the middles and main angle

24 degrees is the answer

find the inverse of f(x)= x-3/2
i dont understand this

Answers

Answer:

the correct answer is shown below

Step-by-step explanation:

hope this helps

Work out the length of x.
Give your answer rounded to 3 significant figures.
х
16.5 mm
6.6 mm

Answers

Answer:

x=17.771mm

Step-by-step explanation:

given a right triangle

to find vslue of x

solution (perpendicular) ² + (base) ² =(hypotenus) ²

using pythagorus theorem

(16.5)²+(6.6)²=(x)²

272.25+43.56=(x)²

315.81=(x)²

√315.81=x

x=17.771mm

Answer:

By Pythagoras theorem

H^2=P^2+B^2

x^2=(6.6)^2+(16.5)^2

x^2=43.56+272.25

x^2=315.81

x=√315.81

x=17.771mm

An investor just purchased a rectangular 1-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the depth of the lot?

Answers

The answer is 218’. A foot front is measured by property. So for this question, you need to find the frontage feet.

A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it is not a spade, the player loses $1.

What is the expected value of this game? $________________

Answers

The expected value of the game is the mean value of the game

The expected value of the game is $1

How to determine the expected value?

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

[tex]E(x) = \frac 14 * 7 - 1 * \frac34[/tex]

Simplify

[tex]E(x) = \frac 74 - \frac34[/tex]

Evaluate

[tex]E(x) = 1[/tex]

Hence, the expected value of the game is $1

Answers

Answer:

x=65°

Step-by-step explanation:

2x + 15= 145

2x+15-15=145-15 (Subtract)

2x=130 (Simplify)

2x/2=130/2 (Divide)

x=65 ← (Answer)

｡☆✼★━━━━━ ( ~ ) ━━━━━━━★✼☆｡

Kevin uses 36 ounces of dried apples and 18 ounces of
dried cranberries to make a fruit snack. He plans to sell the snack in 1\2
containers. How may containers will he fill? Will any fruit snack be left over?

Answers

Answer:

6 containers

6 ounces of fruit snack will be left over

Step-by-step explanation:

1 pound = 16 ounces

⇒ ¹/₂ pound = 8 ounces

Total weight = weight of dried apples + weight of dried cranberries

= 36 + 18

= 54 ounces

Containers needed = total weight ÷ weight of snacks in one container

= 54 ÷ 8

= 6.75

Therefore, he will fill 6 containers

Snack left over = total weight - (number of containers × weight of snacks one container will hold)

= 54 - (6 × 8)

= 54 - 48

= 6 ounces

You spent $24 more than Pam. If you spent $82, how much money did Pam spend?Write and solve an equation.

Answers

Answer:

Step-by-step explanation:

its basically saying that pam spent 24 dollars less than you. soo 82 - 24 = 58

Which of the following expressions are equivalent to 6 + (-4) - 56+(−4)−56, plus, left parenthesis, minus, 4, right parenthesis, minus, 5?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
-(-6+4)-5−(−6+4)−5minus left parenthesis, minus, 6, plus, 4, right parenthesis, minus, 5

(Choice B)
B
6-4-(-5)6−4−(−5)6, minus, 4, minus, left parenthesis, minus, 5, right parenthesis

(Choice C)
C
6-(4+5)6−(4+5)6, minus, left parenthesis, 4, plus, 5, right parenthesis

(Choice D)
D
6+4-56+4−56, plus, 4, minus, 5

(Choice E)
E
-(-6)+(-4)-(-5)−(−6)+(−4)−(−5)

Answers

Choice a (-6+4)-5(-6+4)-5

Answer:

Step-by-step explanation:

−5+6−4

and

−4+(−5)+6

The largest possible sum, less than 10, of two consecutive prime number is

Answers

Answer:

Step-by-step explanation:

Primes below 10 are 1,2,3,5,7

the two consecutive primes that would add up less than 10 would be 3 and 5. 3+5 = 8

What is the center and radius of the circle?
(x-3)2 + y² = 4

Answers

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given equation:

[tex]\sf (x-3)^2+y^2=4[/tex]

Rewrite in standard form:

[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]

Therefore

center = (3, 0)radius = 2

What is the value of x?
Enter your answer in the box.

Answers

Since it is an equilateral triangle, all the sides are equal

(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)

4x-10 = 3x+2 Simplify like terms

x = 12

If you want to prove, just plug 12 back into each side

Hope this helped :)

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Please help me with my project Why should a thesis first be stated before developing an argument Label each point on the number line with the correct value.Click each dot on the image to select an answer. Choices: 531x22 long mutipulcation Which of the following topics are specific and focused?- Results of Operation Iraqi Freedom- Benefits of a personal quiet time- Advantages of learning a second language- The importance of healthy habits(you can choose more than one) When using estimates to make decisions,A. It is important to always use a 95% confidence levelB. It is important to remember that you will never achieve certaintyC. It is important to calculate those estimates to at least six decimal placesD. It is important to use a 100% confidence level so as to achieve certaintyE. All of the aboveF. None of the above I just need help with Part C 45 POINTS PLS HURRY An issue with the automated collection of personal information is _____. Select 2 options.it does not yet collect data efficientlyit does not yet collect data efficientlyit processes highly sensitive datait processes highly sensitive datathat people do not trust it enoughthat people do not trust it enoughit may lead to inaccurate decisionsit may lead to inaccurate decisionsit uses robust security solutionsit uses robust security solutions What are the step to solving 3(5x - 2 = 3x + 8 - 2x What steps did the Nazi's take to implement the "final solution'? Can Some One pls help whoever anwsers first ill give Brainliest pls & thx u Hello! Here is a tricky question for whoever finds this. (No looking up!) What is always coming but never arrives? Whoever gets it right gets brainliest and 51 points (im new so im not sure how to do this...) :D Reflect (-5,-3) over the -axis.Then translate the result down 2 units.What are the coordinates of the final point? write an equation for a circle that has a center at (-6,5) and passes through the point (-11,3) Explain how resource availability can affect the stability of a society. yo how you people doing what's -25 - 57 + 35 ????? What is average acceleration? How does acceleration occur? Determine whether or not the equation below is balanced. If it isnt balanced, write the balanced form. Also, identify the reactant(s) and product(s) in this equation. Finally, label this as one of the five types of reactions: combination, decomposition, substitution, double replacement, or reversible.Zn+ HCl ZnCl2 + H2 Help help math math help PLEASE HELP ME!!!!!!