B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅
Step-by-step explanation:
[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(
Answer:
x = 4
Step-by-step explanation:
6(6 + x) = 5(5 + x + 3) => secant secant theorem
36 + 6x = 5(8 + x)
36 + 6x = 40 + 5x
Subtract 36 from each side
36 + 6x - 36 = 40 + 5x - 36
6x = 4 + 5x
Subtract 5x from each side
6x - 5x = 4 + 5x - 5x
x = 4
Please help I’ll give brainliest
Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores
Answer:
The mean absolute deviation is: 7.44
Step-by-step explanation:
Given
[tex]Scores: 98, 78, 84, 75, 91[/tex]
Required
The mean absolute deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]
[tex]\bar x = \frac{426}{5}[/tex]
[tex]\bar x = 85.2[/tex]
The mean absolute deviation (M) is:
[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]
So, we have:
[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]
[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]
Remove absolute brackets
[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]
[tex]M = \frac{1}{5}*37.2[/tex]
[tex]M = 7.44[/tex]
how many solutions are there to the system of equations graphed below if the lines are parallel ?
A. Zero
They're parallel so they will never intersect therefore: no solutions :]
calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest
Answer:
4760
Step-by-step explanation:
Simple interest= principal× time ×rate/100
=3500×4×9/100
= 1260
Amount that will be in the bank after 4years= 3500+1260
=4760
What are the measures of
∠
1
and
∠
2
? Show your work or explain your answers.
Answer:
Step-by-step explanation:
angle 2 is 75 degree because angle 2 and 75 dgeree are corresponding angles corresponding angles are always equal.
angle 1 + angle 2 = 180 degree (being linear pair)
angle 1 = 180 - 75
angle 1 = 105 degree
∠1 = 105° and ∠2 = 75°
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What is transversal?"It is a line that passes through two lines in the same plane at two distinct points."
What are corresponding angles?"The angles which are formed in matching corners or corresponding corners with the transversal when the transversal intersects two parallel lines."
For given question,
Line c and line d are parallel lines.
These parallel lines are intersected by a transversal.
We can observe that ∠2 and the angle that measures 75° are corresponding angles.
We know that the corresponding angles are congruent.
⇒ ∠2 = 75°
Also, the sum of all angles on either side of the line is 180°
⇒ ∠1 + ∠2 = 180°
⇒ ∠1 + 75° = 180°
⇒ ∠1 = 105°
Therefore, ∠1 = 105° and ∠2 = 75°
Learn more about parallel lines and transversal here:
https://brainly.com/question/17432060
#SPJ3
Please help me I would really appreciate it, If you can't that is okay but please try!
Answer:
Either A or B
Step-by-step explanation:
Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?
For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.
Part A
Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?
Answer: hello your question has some missing data attached below is the missing data
answer:
The second scatter plot
Step-by-step explanation:
The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot
Answer:
Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.
Step-by-step explanation:
If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.
(in other words the other person who answered is correct)
does anyone know the answer for his ?
please help me with this .
Answer:
20:1
Step-by-step explanation:
every 20 dollar she spends she save 1 dollar
NEED HELP ASAP
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equation of function g?
Substitute a numerical value for k into the function equation.
Step-by-step explanation:
x' = ⅓ x => x = 3x'
f'(x) = 7(3x')+1
= 21x' + 1
so g(x) = 21x + 1
Please help I’ll give brainliest
Answer:
B. $1650
Step-by-step explanation:
the middle share = 3/(2+3+5) × $5500
= 3/10 × $5500 = $1650
Which linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
Answer:
y minus 9 = negative 2 (x + 1)
Step-by-step explanation:
i put it onto desnos graphing calculater and thats what i got
Answer:
A
Step-by-step explanation:
bannana
Please help me with this question!!
Answer:
ok so for g times h you would have to foil it and then you would multiply it by f of X
Mary has 2 blouses (1 Red and 1 blue) and 3 pair of slacks (1 yellow and 1 white and 1 green).
If Mary choose 1 blouse and 1 pair of slacks at random , what is the probability that the outfit she chooses will include a pair of green slacks?
Answer:
1/3, the information with the blouses is there to distract you
Question 1 of 5 Shelley has a bag containing three balls: one red, one yellow, and one green. All balls are equally likely to be chosen. Shelley will choose one ball without looking in the bag. What is the probability that Shelley will choose the yellow ball out of the bag?
Answer:
1/3=33 1/3%
Step-by-step explanation:
Since there is 3 balls.
Find the value of x
Answer:
X+6+2x=180
6+3x=180
3x=172
x=57 1/3
This is my hw. heelp
Answer:
1/14
Step-by-step explanation:
On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =
Answer:
5
just took the test
Answer:
Step-by-step explanation:
its 5
Find the circumference of a circle with radius, r = 6.5m.
Give your answer in terms of pie
Answer:
13π m
Step-by-step explanation:
circumference of a circle = 2πr
=2*π*6.5
=13π m
Answer:
13[tex]\pi[/tex] m
Step-by-step explanation:
The formula for circumference is 2r[tex]\pi[/tex], so...
2r[tex]\pi[/tex]
2(6.5)[tex]\pi[/tex]
=13[tex]\pi[/tex]
a b and c of a right angled are in the ratio 7:18:11
the smallest angle is 35
work out angles a b and c
Answer:
a=35° b=90° c=55°
Step-by-step explanation:
7:18:11
total ratio=7+18+11
=36
The smallest angle(a)
7/36 x s=35
7s/36=35
7s=35x36
7s=1260
7s/7=1260/7
s=180°
second angle (b)
18/36x180
=90°
third angle (c)
11/36x180
=55°
given m||n, find the value of x
Answer:
170º
Step-by-step explanation:
The angles are supplementary
x = 180 - 10
x = 170
Given y= -5x^2 +30x -9, find the axis of symmetry.
x= -30
x= 6
x= 3
x= -3
Answer:
8
Step-by-step explanation:
pls mark me brainliest
-5(x²-6x+9)+45-9
-5(x-3)²+36
Standard form
y= a(x-p)²+q
a=-5,p= 3 and q=36
axis of symmetry :x= p
=>x= 3
Hope it helps you...
Find the area of the triangle on problem #7 and what statement in true for the triangle on #8
Answer:
Step-by-step explanation:
Using the pythagorean theorem, a^2+b^2=c^2
32/2=16, 20 would be the hypotenuse, so it would be 20^2-16^2=a^2 because we want to find the middle line. 400-256=144. sqrt(144) = 12.
Then since it is an isosceles triangle, we can simply do 12*16=192
The answer for 7 is 192ft^2
For #8, the answer is short leg * sqrt(3) = long leg
On another note, you can find the hypotenuse of a 30-60-90 triangle by doubling the shortest leg
Find the surface area plzzzzzz
Answer:
184 m²
Step-by-step explanation:
Surface Area = 2(10*2) + 2(10*6) + 2(2*6)
Surface Area = 2(20 + 60 + 12)
Surface Area = 2(92)
Surface Area = 184 m²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
what is nine times a number x, in algebraic expression?
Answer:
Not possible to answer.
What is the exponent for the expression 6 x 6 x 6 x 6 x 6?
Answer:
6^5
Step-by-step explanation:
Answer: 6^5
Step-by-step explanation:
Using the equation
[tex] \sqrt{x + 7} + 5 = x[/tex]
, are both x = 2 and x = 9 solutions or are one/both of them extraneous solutions? Explain.
Given:
The equation is:
[tex]\sqrt{x+7}+5=x[/tex]
To find:
Whether [tex]x=2[/tex] and [tex]x=9[/tex] both are solutions or one/both of them extraneous solutions.
Solution:
We have,
[tex]\sqrt{x+7}+5=x[/tex]
Subtract 5 from both sides.
[tex]\sqrt{x+7}=x-5[/tex]
Taking square on both sides, we get
[tex]x+7=(x-5)^2[/tex]
[tex]x+7=x^2-10x+25[/tex]
[tex]0=x^2-10x+25-x-7[/tex]
[tex]0=x^2-11x+18[/tex]
Splitting the middle term, we get
[tex]x^2-2x-9x+18=0[/tex]
[tex]x(x-2)-9(x-2)=0[/tex]
[tex](x-2)(x-9)=0[/tex]
[tex]x=2,9[/tex]
Now, substitute [tex]x=2[/tex] in the given equation.
[tex]\sqrt{2+7}+5=2[/tex]
[tex]\sqrt{9}+5=2[/tex]
[tex]3+5=2[/tex]
[tex]8=2[/tex]
This statement is false because [tex]8\neq 2[/tex]. So, 2 is an extraneous solution.
Substitute [tex]x=9[/tex] in the given equation.
[tex]\sqrt{9+7}+5=9[/tex]
[tex]\sqrt{16}+5=9[/tex]
[tex]4+5=9[/tex]
[tex]9=9[/tex]
This statement is true. So, 9 is a solution of given equation.
Therefore, 2 is an extraneous solution and 9 is a solution of given equation.
Please help me i'm struggling!
Answer:
c
Step-by-step explanation:
Answer:
x is greater than or equal to 3
So it is the first answer.