Answer:
x = 5 ± i√11 / 2
Step-by-step explanation:
At the y-intercept the value of y is equal to 0.
=> 0 = x² + 5x + 9
=> x = -5 ± √25 - 4(9) / 2
=> x = 5 ± √-11 / 2
=> x = 5 ± i√11 / 2
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
Answer: 6 hours and 25 min
Step-by-step explanation:
hello help me with this question thanks in advance
[tex]\bold{\huge{\underline{ Answer }}}[/tex]
Here , We have to create a real life problem which is based on the similar traingle.
Before creating a real life problem . It is important that you should know the basics of the theorem related to similar triangle .Triangles are similar when their corresponding angles are equal and corresponding sides are in proportion.There are three conditions that proves the given triangles are similar :-
If the corresponding angles of the both the triangles are equal . Then the two triangles are similar to each other known as AA or AAA criterionIf the two sides and one angle of both the triangle are equal to each other . Then the two triangles are similar to each other known as SAS criterion If all the three sides of both the triangle are equal or having same ratios then both the triangle are similar to each other known as SSS criterion. Let's Come to the real life problemSuppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .
Solution :-Let consider both the apple trees as tree 1 and tree 2
Given :-The height of the tree 1 is 20 m and height of the tree 2 is 40 mThe shadow casted by both the trees, Tree 1 = 12 m and tree 2 = 24 mThe distance between the height and shadow of both the trees, Tree 1 = 30 m and Tree 2 = 60 mBy using similarity theorem
It states that two triangles are similar when the corresponding sides of both the triangles are in proportion or the corresponding angles of both the triangles are equalThat is,
[tex]\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}[/tex]
[tex]\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}[/tex]
From above we can conclude that,
Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.
The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.
How to Solve Similarity Theorem?Let consider both the Orange trees as tree 1 and tree 2
If we have:-
Height of the tree 1 = 20 m
Height of the tree 2 = 40 m
The shadow casted by Tree 1 = 12 m
The shadow casted by tree 2 = 24 m
The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m
By using triangle similarity theorem, we have;
20/40 = 12/24 = 30/60 = 1/2
Read more about Similarity Theorem at; https://brainly.com/question/21247688
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find the sum of 6a - 5b + c, -2a +4b -2c
Answer:
4a-b-c
Step-by-step explanation:
we first look at the letters of each number. if there is only a letter, there is an imaginary 1 in front of it. we need to make sure that we add the numbers that have the exact same letters because they are known as like terms. we cannot add 6a and 4b because the letters are different and they are known as unlike terms. When we add numbers with the same letter ONLY the number changes
A line passes through the point (1,2) and has a slope of −8.
Write an equation in point-slope form for this line.
Answer:
y - 2= -8(x - 1)
(I believe so)
Step-by-step explanation:
Since the formula of a point-slope form is y-y1=m(x-x1), you should just substitue the values into the formula.
(If needed simplified version : y-2=-8x+8)
Determine if true:
3x8-63=-39
Answer:
True
Step-by-step explanation:
3x8=24
24-63=-39
39=39
Hence, the equation is true.
Answer:
The answer is true.
Step-by-step explanation:
3 x 8 = 24
24 - 63 = -39
Hope this helps. :)
What can be used to define any
nonvertical line in the Cartesian
coordinate system?
An equation can be used to define any non-vertical line in the Cartesian Coordinate system. The correct option is C.
What is a Non-vertical Line ?A nonvertical line is a line that has a slope and is defined by its steepness.
It can be represented by a straight line equation y = mx+c, here m is the slope and c is the y-intercept.
The slope can be determined by using two points on the line (x₁,y₁) and (x₂,y₂)
m = (y₂-y₁)/(x₂-x₁)
From the options given, An equation can be used to define any non-vertical line in the Cartesian Coordinate system.
The correct option is C.
The complete question is attached with the answer.
To know more about Nonvertical Line
https://brainly.com/question/14517469
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in 1960 the population of Indonesia was 88 million. in 2010 the population of Indonesia was 242 million. *calculate the percentage increase from 1960 to 2010? *estimate the population in 2060 if the rate of increase doesn't change
Answer:
Step-by-step explanation:
1960 = 88,000,000
2010 = 242,000,000
formula: (new-old)/old* 100
(242,000,000 - 88,000,000)/88,000,000 * 100
154,000,000/88,000,000*100
1.75*100
=1.75%
I'M SORRY NOT SURE OF THE SECOND PART
What fractions are less than 5/6
Answer:
4/6 and lower.
Step-by-step explanation:
Step-by-step explanation: The fraction with numerator as 16/3 and denominator 8 becomes 2/3 which is less than 5/6.
solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si llegan 10 empleados, cuál es la probabilidad de que el guardia de seguridad encuentre
Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
¿Qué es la distribución binomial?[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
n es el número de ensayos.p es la probabilidad de éxito en un ensayox es el número de éxitosEn este problema, hay que:
20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.Llegan 10 empleados, o sea, n = 10.La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
En que:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
Por eso:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926[/tex]
Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.
Puede-se aprender más a cerca de la distribución binomial en https://brainly.com/question/25132113
123 + 12 + 1 + 1 + 1 =
Step-by-step explanation:
123 +
12
______
5 (3+2)
3 (2+1)
1 (1)
so
123 + 12 = 135
1 + 1 + 1 = 3
3 + 135 = ??
comment answer
please mark brainest
This data set represents the widths in yards of pieces of fabric used by a sewing group. What is the mean of this data set? {1 1/3, 1/4, 2/3, 1/2, 1 1/4} Enter your answer as a fraction in simplest form in the box.
hurry
The mean of a dataset is the average or the expected value of the dataset
The mean of the dataset is 4/5
How to determine the meanThe dataset is given as: {1 1/3, 1/4, 2/3, 1/2, 1 1/4}
The mean of a dataset is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{1 \frac 13+ \frac 14+ \frac 23+ \frac 12+ 1 \frac 14}{5}[/tex]
This gives
[tex]\bar x = \frac{4}{5}[/tex]
Hence, the mean of the dataset is 4/5
Read more about mean at:
https://brainly.com/question/14532771
Answer:
I think its 4/5
What is the perimeter of a square if it has an area of 10 sq. cm.
Answer: [tex]4\sqrt{10}[/tex] cm
Step-by-step explanation:
The area of the square is equal to the side length^2.
We can let s be the length of the side.
Therefore, s^2 = 10 cm^2
Square root both sides:
s = [tex]\sqrt{10}[/tex] cm
The perimeter of a square is 4 multiplied by the side length.
Therefore, the perimeter of the square is 4s = [tex]4\sqrt{10}[/tex] cm
Using an old post still need help
Answer:
12x+20
Step-by-step explanation:
2(5x+2)+2(x+8)
or (simplified)
10x+4+2x+16=12x+20
Answer:
12x+20
Step-by-step explanation:
5x+2+x+8+5x+2+x+8
12x+20
A plumber charges $50 to visit a house plus $40 for every hour of work. Define a variable to represent the unknown quantity. Then write an expression to represent the total cost of hiring a plumber.
Answer:
50 + 40x
Step-by-step explanation:
Over a 14-day period, Jamal went to the store 4 times. Based on this
information, which statement best describes how many times Jamal will go
to the store in a 5-week period?
Answer:
He will go to the store 10 times in a 5-week period.
Step-by-step explanation:
We can assume that in one week, Jamal went to the store 2 times, considering he went to the store 4 times in 2 weeks. Next, we can assume that he will go to the store 10 times in 5 weeks, since 2×5=10.
pls do in 1 hour i give brainiest
Answer:
1. 32x3=96
2. 384
3. 262 (I think)
4. now let's do cross multiplication here one day =16 7days =n, n=16*7=112
5. 14 cups
6. 7 pints
7. 3.5 quarts
8. 6 days. There are 4 quarts in 1 gallon so there are 16 quarts in all. Since they drinks 3 quarts everyday, we divide 16 by 3. The answer is 5.3 but I rounded it up because the question asks how many days will it take for the family to finish all the 4 gallons.
Step-by-step explanation:
Sally can paint a room in 5 hours while it takes Steve 7 hours to paint the same room. How long will it take them to paint the room if they work together?
(Type an integer or decimal rounded to one decimal place as needed)
=====================================================
Explanation:
Let's say the room has walls and ceiling of 350 sq ft in total area.
Sally can paint this area in 5 hours when working alone, so her unit rate is 350/5 = 70 sq ft per hour.
Steve needs 7 hours to do the same job when working alone, so his unit rate is 350/7 = 50 sq ft per hour.
Assuming the two people can work together without hindering each other (i.e. without getting in each other's way), then the two unit rates combine to 70+50 = 120 sq ft per hour.
Divide the total area over this combined unit rate
350/120 = 2.91667 approximately
This rounds to 2.9
--------------
Alternatively, you can solve the equation
[tex]\frac{1}{5} + \frac{1}{7} = \frac{1}{x}[/tex]
And you should get roughly x = 2.9
The area of a parallelogram is 91.2cm2, base is l2cm. Find its height.
Answer:
7.6 cm
Step-by-step explanation:
The formula to find the area of the parallelogram is :
Area = Base × Height
They have already given,
Area = 91.2 cm²
Base = 12 cm
Height =?
To find the height, let the height be h.
Let us solve it now.
Area = Base × Height
91.2 cm² = 12 cm × h
Divide both sides by 12.
7.6 cm = h
Therefore, the height is 7.6 cm.
Find the slope of the line passing through each of the following pairs of points (5,0), (-3,0)
The graph of y=f(x) is grapes below. What is the end behavior of f (x)?
Answer:
there is no graph and y=y makes no sense
Step-by-step explanation:
the value of y is one less than the quantity six times the value of x. What is that as a equation?
Answer:
y = 6x - 1
Step-by-step explanation:
Hope it helps.
The probability that Sue will go to Mexico in the winter and France in the summer is 4/10. The probability that
she will go to Mexio in the winter is 6/10. Find the probability that she will go to France this summer, given that
she just returned from her winter vacation in Mexico.
Answer:
40%
Step-by-step explanation:
4 / 10 = 40%
A car travels 9 miles in 7 minutes. How fast is it going in miles per hour? How fast is it going in meters per second?
The car travels mi/hr.
The car travels m / s.
Answer:
he's going 77mph and then 2069 meters per hour.
PLEASE HELP AND SHOW WORK
What is the perimeter of this square?
Answer:
60
Step-by-step explanation:
if i see it properly, one side is 15, so 15 x 4 = 60
(07.01)
Which of the following values for x and y make the equation 4x + 2y + 3 = 19 true?
x=5, y = 3
x = 4, y = 5
x = 3, y = 2
x = 2, y = 5
Solution:
Option A
4x + 2y + 3 = 19=> 4(5) + 2(3) + 3 = 19=> 20 + 6 + 3 = 19=> 29 = 19 (False)Option B
4x + 2y + 3 = 19=> 4(4) + 2(5) + 3 = 19=> 16 + 10 + 3 = 19=> 29 = 19 (False)Option C
4x + 2y + 3 = 19=> 4(3) + 2(2) + 3 = 19=> 12 + 4 + 3 = 19=> 19 = 19 (True)Option D
4x + 2y + 3 = 19=> 4(2) + 2(5) + 3 = 19=> 8 + 10 + 3 = 19=> 21 = 19 (False)Option C is correct.
Answer:
5
Step-by-step explanation:
Part A: 4 x 6 = 24 - 5 = 19 = 19, and v= is equal to or less than. Because 19 is the same as 19, saying it is larger than is false.
Part B (of two):
The answer is incorrect: 4 x 4 = 16 + 3 = 19 = 23.
20 + 3 = 23 = 23 = 4 x 5 = 20 x 5 = 20 x 5 = 20 x 5 = 20 x True, but we should also consider the other possibilities.
Incorrect: 4 x 6 = 24 + 3 = 27 = 23
Incorrect: 4 x 7 = 28 + 3 = 31 = 23
Incorrect: 4 x 8 = 32 + 3 = 35 = 23
As a result, 5 is the correct response!
In circle O , m C = 101° and m D =109° What is m A
Answer: m A = 150°
well if what you are talking about is arcs, which is what it seems like, the ans for m A = 150°
Step-by-step explanation:
all of the arcs in a circle add up to 360.
so
360 - 101 - 109 = 150
150 would be your degree
What percent of 300 is 120?
O A) 25%
O B) 250%
OC) 4%
OD) 40%
Answer:
D) 40%
Step-by-step explanation:
I just looked it up on a calculator.
5 multiply by 3 over 5 pls i need help ;/
Answer:
3
Step-by-step explanation:
I used a calculator
Hi! I hope you're enjoying your day!
First of all, 5 times 3 (multiplied by 3) is equal to 15.
Then, 15 over 5 (15 divided by 5) is equal to 3.
Here's an easier way to think about it:
[tex]\bold{\displaystyle\frac{5*3}{5}}[/tex]
The 5's cancel, so we're left with 3.
Hence, the answer's
[tex]\boxed{\boxed{\bold{3}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{250}{3}[/tex]
Which number is equivalent to
[tex] - \frac{24}{6} [/tex]
A-18
B 18
с 4
D -4
Answer:
D) -4
Step-by-step explanation:
Step 1: Divide 24 by 6.
[tex]\frac{24}{6}[/tex] [tex]4[/tex]Step 2: Put in the negative sign.
[tex]4[/tex] [tex]-4[/tex]Thus, the answer is D) -4.
Find the value of x. Enter your answer in the box.
Granola Bars 12 42
Boxes 2 x
Answer:
x=7
Step-by-step explanation:
to get 2 they did 12/2=6
you then do 42/6= 7
x=7