The solution of the equation √x+2 + 4 = 6 is x = 2 and it is not an extraneous solution
How to find the solution of an equation?The solution of the equation can be found as follows;
√x+2 + 4 = 6
subtract 4 from both sides
√x+2 + 4 - 4 = 6 - 4
√x+2 = 2
square both sides
(√x+2)² = 2²
x + 2 = 4
x= 4 - 2
x = 2
Therefore the solution is x = 2 and it is not a extraneous solution.
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Tim is 5 feet tall and casts a shadow that is 2 feet long. He stands next to a tree that is 30 feet tall. How long is the shadow the tree casts?
Answer:
12 ft
Step-by-step explanation:
Tim Height: Tim Shadow
5ft : 2ft
Tree Height: Tree Shadow
30ft : ?ft
Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.
Therefore, 2ft x 6 = 12ft
The Tree's Shadow is 12ft.
An exam consists of 10 multiple choice questions and 5 open response
questions. Students are responsible for answering 8 of the multiple choice ques-
tions and 3 of the open response questions. How many different ways can a
student complete the exam?
Answer:
I think it's 55
Step-by-step explanation:
10C3 + 5C3
A segment with endpoints at the center and on the circle.
Answer:
The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.
Step-by-step explanation:
You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]
= [tex]\frac{1}{6}[/tex]
help me with this PLACE
Draw a quadrilateral that has two 60 degree angles and two 120 degree angles.
Answer:
Step-by-step explanation:
Draw a straight line.
Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees going up and apart.
Then draw the fourth line joining the ends of these 2 lines.
The 2 angles formed will equal 60 degrees.
The quadrilateral formed is a trapezoid.
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Ansley ate 12 of a bag of popcorn. Erica
ate 12 of the same bag of popcorn. What
fraction of the bag of popcorn did Ansley
and Erica eat in all?
I will give 20 points and maybe brainiest, please help me
Answer:
The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.
Step-by-step explanation:
We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.
Hope this helps:) Goodluck!
Complete the table for the equation below
Answer:
-1
2
4
Step-by-step explanation:
You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.
10 10 x 10 10 x 10x10 x10
Answer:
Step-by-step explanation:
The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10
So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.
PLEASE HELP! WILL GET BRAINLEST
Answer:
See below ~
Step-by-step explanation:
Question 12
Numbers greater than 3 : 5Total numbers : 8P (number > 3) = 5/8Multiply with 4005/8 x 4005 x 50250 timesQuestion 17
Part A
Possible outcomes = {HT, HH, TH, TT}Part B
P (heads at least once) = Outcomes with at least one "H" / TotalP (heads at least once) = 3/4How many milligrams are equal to 63 grams? 63,000 milligrams 6,300 milligrams 630,000 milligrams 630 milligrams
Answer:
63,000 milligrams
Step-by-step explanation:
there are 1,000 milligrams in one gram. So, 63 x 1,000 = 63,000
Juan is placing a fence in his yard, he has 15 m of fences and he cuts it
into 4 equal pieces. How long is each piece of fence?
What is the average rate of change in f(x) over the interval [4,13]? on a coordinate plane, a function has four points that are connected by lines. the points are (0, 0), (4, 8), (10, 5), and (13, 12). one-third four-thirteenths eleven-thirteenths eleven-eighths
Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:
[tex]\frac{4}{9}[/tex]
What is the average rate of change of a function over an interval?It is given by the change in the output divided by the change in input.
In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:
r = (12 - 8)/(13 - 4) = 4/9.
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Answer:
B
Step-by-step explanation:
4/13
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what are the numbers?
Answer:
6 and 11
Step-by-step explanation:
n1 = n + 5
ns^2 = 3 + 3nb
6^2 = 3 + 3(11)
36 = 3 + 33
11 = 6 + 5
1 point
A rectangular room measures 13 feet by 16 feet. You want 1/3rd of it to turn into a new half bathroom. How much sq feet is left to the nearest whole sq foot?
A) 155 sqft
B) 188 sq ft
C) 139 sq ft
D) 88 sq ft
Answer:
D
Step-by-step explanation:
13x16=208
208/3= 69 reapeated.
What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13
Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
if a = 5+2√6 then find a²-1÷a²
Answer:
a²+1/a² = 7
Step-by-step explanation:
Given, a = (3+√5)/2
We have to find the value of a² + 1/a².
1/a = 1/((3+√5)/2) = 2/(3+√5)
By taking conjugate,
2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)
= 2(3-√5) / (3+√5)(3-√5)
By using algebraic identity,
(a - b)(a + b) = a² - b²
(3+√5)(3-√5) = (3)² - (√5)²
= 9 - 5
= 4
2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4
So, 1/a = (3-√5)/2
Now, a² = [(3+√5)/2]²
= (3+√5)²/4
By using algebraic identity,
(a + b)² = a² + 2ab + b²
(3+√5)² = (3)² + 2(3)(√5) + (√5)²
= 9 + 6√5 + 5
= 14 + 6√5
a² = (14+6√5)/4
= 2(7+3√5)/4
a² = (7+3√5)/2
Now, 1/a² = [(3-√5)/2]²
= (3-√5)²/4
By using algebraic identity,
(a - b)² = a² - 2ab + b²
(3-√5)² = (3)² - 2(3)(√5) + (√5)²
= 9 - 6√5 + 5
= 14 - 6√5
1/a² = (14-6√5)/4
1/a² = (7-3√5)/2
a²+1/a² = (7+3√5)/2 + (7-3√5)/2
= 7/2 + 3√5/2 + 7/2 - 3√5/2
= 7/2 + 7/2
= 7
Therefore, a²+1/a² = 7
Josie is trying to select a green block out of a bucket that has 4 green blocks and 8 other colors. max is rolling a die and is trying to get a 1 or a 2. who has a better chance of getting their desired result?
Answer: Max. Max has a 49% chance of getting a 1 or 2 when Josie only has a 33% chance of getting a green block
............................................................................
y
5
4
32
2
1
-5 -4 -3 -2 -1 0
-1
-2
Type here to search
လ ရာ
-3
1 2 3 4 5
What is the equation of the blue line?
X
hp
14°C
Answer:
y=4x-3
Step-by-step explanation:
Using y - intercept form:
y=mx+b
Slope goes up by 4 squares and to the right by 2 squares. This means the slope is 4. The y intercept is -3, thus b is -3.
Silvia was asked to find the Sin(D). her response was 12/15. the teacher said Silvia answer was incorrect what did she do wrong? how can she fix it?
If f(x) = 2x + 7, find f(5)
Answer:
17
Step-by-step explanation:
f(x) = 2x+7
Let x =5
f(5) = 2*5 +7
= 10+7
= 17
What is the mode for the data set?
27, 21, 24, 21, 26, 28, 25, 21, 27, 29, 24
Answer: 21
Step-by-step explanation:
Mode is the value that appears most often in a set of data values.
Write the numbers in your data set from least to greatest.21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29
Count the number of times each number is repeated and identify the value(s) that occur most often. In this case, 21 repeated 3 times.Answer:
The mode for the data set is 21
Step-by-step explanation:
The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5
1 is the mode because there are more 1's than any number in the data set.
Your welcome! ;D
Charlie raked 23 piles of leaves. jessie raked 14 piles of leaves.
how many more piles of leaves did charlie rake than jessie?
I need the numbers please con y’all help me
Answer:
[tex]y=\frac{2}{3}x+4[/tex]
Step-by-step explanation:
Calculate the slope by using rise over run to get 2/3x
The Y Intercept is 4
Which of the following inequalities matches the graph?
Answer:
y ≥ 1
Step-by-step explanation:
The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.
It indicates that the line equation is:
For various x values, y=-1.
Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.
As a result, the inequality is:
y≥-1
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
Hope this helps
PLEASE HELPPP THANK U SO MUCH
Answer:
396 = 341q-333
Step-by-step explanation:
396 is (396 =)
the quantity q times 341 (341q)
333 subtracted from (-333)
Answer:
341q - 333 = 396
Step-by-step explanation:
multiply q and 341, you get 341q
a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3
therefore your equation will be 341q - 333 = 396
extra information :
341q = 396 + 333
341q = 729
q = 729/341
q = 2.137829912
For function f(x), which pair of limits would verify the existence of a vertical asymptote at x = –1?
This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:
[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]
Limit of a functionFor the limit of a function to be continuous at a point x = a, the left hand limit of the function must be equal to the right hand limit.
Mathematically, the expression below must be true
[tex]\lim_{x \to a^+} a_n = \lim_{x \to a^-} a_n =f(c)[/tex]
This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:
[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]
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Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab
Answer:
AB=5
Step-by-step explanation:
3x-4=5x-10
-4=2x-10
6=2x
3=x
AB= 3(3)-4
9-4
5
Answer:
ab = 5.
Step-by-step explanation:
As the 2 sides are equal in length:
3x - 4 = 5x - 10
3x - 5x = -10 + 4
-2x = -6
x = 3.
So ab = 3x-4 = 3(3)-4
= 5.
Consider the summary statistics from the previous question. The residents pay $0.015 per gallon of usage. What is the standard deviation of the amount paid for monthly water usage
The standard deviation of the amount paid for monthly water usage is $35.25
How to determine the standard deviation?From the summary statistics, we have:
Standard deviation, σ = 2350
Rate = $0.015
The standard deviation of the amount is calculated using:
σ = Standard deviation * rate
This gives
σ = 2350 * $0.015
Evaluate
σ = $35.25
Hence, the standard deviation of the amount paid for monthly water usage is $35.25
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20% of the guest at the party were children. if 15 children attended the party, how many adults attended?