Solve the following equation:
[tex]x + \sqrt{x+3} = 3 + 3\sqrt{1-x}[/tex]
Answer:
[tex]x+\sqrt{x+3}=3+3\sqrt{1-x}[/tex]
[tex]Remove~ Square ~root[/tex]
[tex]-36x^3+252x^2-540x+324=[/tex]
[tex]x^4-32x^3+286x^2-480x+225[/tex]
[tex]Now ~\mathrm{Switch\:sides}[/tex]
[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18=x+3[/tex]
[tex]\mathrm{Subtract\:}x^2-15x\mathrm{\:from\:both\:sides}[/tex]
[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18-\left(x^2-15x\right)=[/tex]
[tex]x+3-\left(x^2-15x\right)[/tex]
[tex]New ~Simplify[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18=-x^2+16x+3[/tex]
[tex]Subtract ~18~ from ~ both~ sides[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18-18=-x^2+16x+3-18[/tex]
[tex]Simplify[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}=-x^2+16x-15[/tex]
[tex]Now~ factor:[/tex]
[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}(-x+3)[/tex]
[tex]6\sqrt{-x+1}\left(-x+3\right)=-x^2+16x-15[/tex]
[tex]Solve~~-36x^{3}+252x^{2} -540x+324=x^{4} -32x^{3} +286x^{2} -480x+225=[/tex]
[tex]x=1,\:x=-3[/tex]
-----------------------hope it helps..have a nice day/nightplease I need it urgent
Answer:
Step-by-step explanation:
Hope this helps u !!
Step-by-step explanation:
[tex] \frac{ {x}^{a + b} \times {x}^{b + c} \times {x}^{c + a} }{ {x}^{2a} \times {x}^{2b} \times {x}^{2c} } \\ \\ = \frac{ {x}^{a + b + b + c + c + a} }{ {x}^{2a + 2b + 2c} } \\ \\ (∵ {x}^{m} \times {x}^{n} = {x}^{m + n} ) \\ \\ = \frac{ {x}^{2a + 2b + 2c} }{ {x}^{2a + 2 b+ 2c} } \\ \\ = 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
What is the measurements for me b ?
Answer:
Step-by-step explanation:
Angle b and the one that measures 76 are vertical angles. That means that they also have the same exact angle values. Therefore, b = 76 degrees
2%, percent of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School.
Answer:
14 kids
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
To find percents I usually just divide the 100% number by 100 in order to get the number that would be 1% of the whole. Thjen, I just multiply the 1% number by however many degrees you need to find.
700÷100=7
7×2=14
14 kids with red hair
Help! To solve this system of equations by elimination, what operatfon could be used to eliminate the x-variable and find the value of y?
6x + 5y = 2
4x + 2y = 8
es )
A)
subtract 2 times the second equation from 3 times the first equation
B)
subtract 3 times the second equation from 2 times the first equation
9
subtract 5 times the second equation from 2 times the first equation
D)
subtract 2 times the second equation from 5 times the first equation
Answer:
c)
subtract 5 times the second equation from 2 times the first equation
Step-by-step explanation:
subtract 5 times the second equation from 2 times the first equation
This will make the coefficient of the y variable 10
for both equations
10y - 10y = 0
leaving only x
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
12.4 in
3.1 in
16.7 in
11.2 in
Answer:
3.1 in
Step-by-step explanation:
a² + b² =c²
12=c
11.6=b
c²- b² = a²
12²-11.6²= 9.44
√9.44 = 3.07 Rounded = 3.1 in
Use the drop-down menu to complete the statement. What is 3 ÷ 2 5? To find the quotient, jump groups of
Answer:
2/5
Step-by-step explanation:
Answer:2/5
Step-by-step explanation:
right on edge
Please help!
Does these set of numbers form a Pythagorean triple? Explain.
8,6,9
Answer:
no
Step-by-step explanation
3,6,9
any flvs algebra students wanna help me out? :')
Question 2 : Two lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the value of a.
Answer:
you should draw it in your graph sis
give me some points i have question two
Step-by-step explanation:
Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME
Answer:
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
Step-by-step explanation:
Given expression is (15 - √105).
Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]
Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,
15 - [tex]\sqrt{105}[/tex] = Slightly less than 5
From the given options answer will be,
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
If I have 75 oranges and I eat two and a half everyday for 30 days how many will I have eaten in one month
Answer:
all 75 of them
Step-by-step explanation:
2.5(30) = 75
Hay 31 personas en un café.Si hay 5 hombres más que mujeres,¿Cuantos hombres y mujeres hay en el café?
Answer: Hay 13 mujeres. (No hablo espanol.)
Two lines are intersecting. What is the value of x? Enter your answer in the box. (x + 23) (2x + 4)° Help! Please!!!
Answer:
[tex]x = 51^o[/tex]
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
[tex]x + 23^o + 2x + 4^o = 180^o[/tex] --- angle on a straight line
Collect like terms
[tex]x + 2x = 180^o - 4^o - 23^o[/tex]
[tex]3x = 153^o[/tex]
Divide both sides by 3
[tex]x = 51^o[/tex]
Plz find the surface area
Answer:
What are the answers?
There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.
Peter arranges a total of 12 books on 3 shelves in the library. He puts the same
number of books on each shelf. Which picture shows the books on the shelves?
You didn't include a picture of the answer choices, but this is what the answer would look like. Pretend the different shapes represent different rows:
ΔΔΔΔ
ββββ
αααα
There are three rows. 4 Books in each row.
FILL IN THE BLANK
Because the area of a parallelogram is equal to the _____ of the base and the height, the area is the _____ of π r and r, or π r squared.
A. product, product
B. quotient, quotient
C. difference, difference
D. sum, sum
The solutions of x² = 16x - 28 are
1) -2 and -14
2) 2 and 14
3) -4 and -7
4) 4 and 7
can someone please help
Answer:
I think its Your Values, but try and a get a second opinion
Anyone know this question ??
Answer:
no but i can create a code from this:
Step-by-step explanation:
java:
int steps = 4;
for (int i = 0; i < steps; i++) { }
this part is psuedocode:
print(i) blocks
there will be 36 squared.
each new step adds one more than the last step added.
f(1) = 1
f(2) = 3 = 1+2
f(3) = 6 = 1+2+3
f(4) = 10 = 1+2+3+4
the pattern is now clear hopefully
f(8) = 1+2+3+4+5+6+7+8 = 1+8 + 2+7 + 3+6 + 4+5 = 9+9+9+9 = 9*4 = 36
what is 94.2 and 87 averaged out
Answer:
90.6
Step-by-step explanation:
total is 181.2 divided by 2 is 90.6
Tell whether the triangle with the given side lengths is a right triangle. Y/N question
Answer:
yes , it is a right triangle.
Step-by-step explanation:
according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.
Here , 65 is largest side so it is hypotenuse and other two sides are the legs of the triangle.
pythagoras theorem:
a^2 + b^2 = c^2
16^2 + 63^2 = 65^2
256 + 3969 = 4225
4225 = 4225
since both sides are equal it can be concluded that the given side lengths d forms a right triangle.
10 Y What is the vertical change from Point A to Point B? 9 8 What is the horizontal change from Point A to Point B? 7 6 What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary 5 4 3 3 B 2 A 1 X 1 . 2 3 4 5 6 7 8 9 10
Answer:
0.5
Step-by-step explanation:
From the graph given ;
The vertical distance ; y - axis :
(y2 - y1) ; y2 = 2 ; y1 = 1
y2 - y1 = 2 - 1 = 1
The horizontal distance ; the x - axis :
(x2 - x1) ; x2 = 4 ; x1 = 2
x2 - x1 = 4 - 2 = 2
The slope ; the rate of change :
Change in y / change in x
The rate of change ;
(y2 - y1) / (x2 - x1) = 1 / 2
Ivanna has bought 30 pounds of dog food. She feeds her dog 3/5 pounds for each meal. For how many meals will the food last?
Answer:50
Step-by-step explanation:
3/5 = 3 ÷ 5 = 0.6
30 ÷ 0.6 = 50
otra explicacion:
30/1 ÷ 3/5= 30/1 x 5/3 = 150/3 = 50
what is the least number of apples that can be shared equally among either 6, 10 or 15 children?
A. 24
B. 30
C. 60
D. 90
MARKING BRAINLIEST
PLS HELP
Answer:
B
Step-by-step explanation:
It goes up and right
A triangular prism whose total surface area = 64 cm2, and its lateral area = 40 cm2, find the area of its base?
Answer:
Area of its base = 12cm²
Step-by-step explanation:
The Area of its base = 1/2 of its surface area - 1/2 of its lateral area
Its surface area = 64, then 1/2 X 64 = 32cm²
Its lateral area = 40, then 1/2 X 40 = 20cm²
So, Area of its base = 32 - 20 = 12cm²
In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.
Answer:
29 feets 3 inches
Step-by-step explanation:
We need to obtain the actual height of oak tree :
Converting measurement to inches :.
1 Feet = 12 inches
Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in
Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in
Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in
Let actual tree height = TH
Using the relation :
SA / SS = TH / TS
70 / 90 = TH / 891
Cross multiply :
90 * TH = 891 * 70
TH = (891 * 70) / 90
TH = 693 inches
Height of house = 28ft 6 in = (28*12 + 6) = 342 in
Height difference :
(693 - 342) in = 351 inches
351 in / 12 = 29 feets 3 inches
I NEED IT PLEASE ASAP
Answer: 24+6=30
Step-by-step explanation:
Football(6) rugby(2) hiking(3)
the order it gave you the info was football then rugby then hiking they way it gave you the number was 6,2,3 so football was said first and the number 6 was said first so football matches up with 6 therefore just add the two number and you get 30
