I need help with this algebra question can someone explain the steps on how you solve it ?
Answers
Answer:
27
Step-by-step explanation:
(5+√2)²
you distribute the ² in the ()
so 5²+√2²
5²=25
√2²=2 because the √ and ² cancel each other out and you get 2
so now you have
25+2
which equals
27
Given expression:
(5 + [tex]\sqrt{2}[/tex])²
Now let us solve this problem by simplifying it;
(5 + [tex]\sqrt{2}[/tex])²:
the power implies the expression in the bracket should be repeated twice:
= (5 + [tex]\sqrt{2}[/tex]) (5 + [tex]\sqrt{2}[/tex])
Then expand the bracket by distribution;
= (5 x 5) + 5([tex]\sqrt{2}[/tex]) + 5([tex]\sqrt{2}[/tex]) + 2
= 25 + 10[tex]\sqrt{2}[/tex] + 2
= 27 + 10[tex]\sqrt{2}[/tex]
Related Questions
You have a party of four that requested separate checks. The table's checks were for $35, $28, 942, and $22. With tips
you collect $144 from the table. Tips of over 15% indicate the service is good. Did tipping indicate good service at this table?
a) Yes
b)No
Answers
Answer:
No
Step-by-step explanation:
Answer: no
The total bill amounts up to $1,027.00. Fifteen percent of $1,027.00 is $154.05. The waiter received $144.00. Therefore she did not indicate good service.
Plz mark brainliest:)
There were 28 boys on the boy's basketball team and 16 girls on the girl's basketball team last year. This year the number of boys decreased by 8% but the number of girls increased by 19%. Was there an increase or decrease in overall participation?
Answers
The sum of participants last year was 44 students, but this year was only 37.80 participants.
There is an increase in total participants.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
number of boys = 28
Number of girls = 16
Total participants = 28 + 16 = 44
Now, there is decrease in number of boys by 8%
= 28- 8% x 28
=28- 8/100 x 28
=28 - 0.08*28
=28 -2.24
= 25.76
and, there is 19% increase in number of girls
=16 + 0.19 x 16
=16 + 3.04
=19.04
So, total participants = 25.76 + 19.04
= 44.8
Hence, there is an increase in total participants.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
WHAT IS THE SLOPE OF THE LINE???
I NEED HELP ASAP PLEASE
Answers
Answer:
(-3, 1)
Step-by-step explanation:
The line goes down 3 (-3) and to the right 1
(-3, 1)
(Sorry if I am wrong. Please don't get mad)
Hope I helped :)
Pleas help me complete this question
The answer should be —-students
Answers
Answer:
1.1 × 10^ 4
Step-by-step explanation:
Answer:
2.7*10^4 - 3.7*10^3
=10^3[2.7*10-3.7]
=10^3 [27-3.7]
=10^3 *23.3
=2.33*10^4
Hope this helps!!
Solve the equation using inverse operations. show your work
-x^2=-36
Answers
Answer:
x = 6, -6
Step-by-step explanation:
-x^2 = -36
~Take the square root of both sides
x = ±6
Best of Luck!
find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7
Answers
Answer:
TSA=115.5cm²
Step-by-step explanation:
T.S.A=3πr²
Given r=3.5cm
eq.
3×22/7×3.5×3.5
=3×22×0.5×3.5
=115.5cm²
Answer:
[tex]19.25cm^{2} \\[/tex]
Step-by-step explanation:
Formula
[tex]\frac{\pi r^{2} }{2}[/tex]
Solve
[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=
[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]
Mai purchased a prepaid phone card for $25. Long distance calls cost 19 cents a minute using this card. Mai used her card only once to make a long distance call. If the remaining credit on her card is $22.34, how many minutes did her call last?
Answers
25-22.34
2.66 / 0.19
=14
Can someone help me plz
Answers
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
What is the solution to this equation?
4x - 6 + 2x = 18
A. x= 4
B. x= 12
C. x= 2
O D. x= 6
SUBMI
Answers
Answer:
Think
Step-by-step explanation:
4x - 6 + 2x = 18
You are solving for x so obviously you have to have your x variable on one side of the equal sign by itself.
So how do you do that? Combine the same calues together and seperate the rest
4x + 2x = 6x
6x = 18 + 6
6x = 24
x = 3
Practice practice practice. Simple stuff. You got this!
Answer:
A. x = 4
Step-by-step explanation:
To answer this question, we first have to combine like terms:
4x - 6 + 2x = 18
6x - 6 = 18
Now, we take away 6 from the left side and add it to the right side:
6x - 6 = 18
+6 +6
6x = 24
Then, we isolate the variable:
6x = 24
/6 /6
x = 4
Hope this helps :)
Your friend really wants to buy the newest cell phone which will cost him $750. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $55 to detail a car and $70 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $750?
A: 55c+70x [tex]\leq[/tex] 750
B: 55c+70x > 750
C: 55c+70x [tex]\geq[/tex] 750
D: 55c+70x < 750
Answers
Answer:
C, 55c + 70x ≥ 750
Step-by-step explanation:
He needs a minimum of $750.
The equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that,
Number of cars = c
Number of SUVs = x
Amount paid for detailed car = $55
Amount paid for detailed SUV = $70
Cost of coolest cellphone = $750
The inequality for the given data will be written as below,
(Amount paid for detailed car × Number of cars) + (Amount paid for detailed SUV × Number of SUV) ≤ Cost of coolest cellphone
55c + 70x ≤ 750
Therefore, the equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
Learn more about inequality:
brainly.com/question/25275758
#SPJ2
1. The video store rented 42 videotapes on
Monday, 35 on Tuesday, 51 on
Wednesday, and 32 on Thursday. What
was the average number of videotapes
initially rented per day from Monday to
Thursday if all were one-day rentals?
A. 37
B. 38
C. 40
E. 54
Answers
Answer:
C. 40
Step-by-step explanation:
average = (42 + 35 + 51 + 32)/4 = 40
Answer: C. 40
James wanted to know if Earth and Mars added together were as big as Jupiter.
Earth is 1.28 X 1007 m
Mars is 6.79 X 10^6 m
jupiter is 1.43 X 10^8 m
Add the diameters of earth and Mars to see if they are bigger than Juipter. Show your work
+
Answers
Answer:
Mars is 6.79 X 10^6 m
Step-by-step explanation:
Mars is at a distance of 206,600,000 km from the Sun at perihelion At aphelion, Earth is at a distance of 152,100,000 km from the Sun. This is a difference of 54,500,000 km, or 34,000,000 miles.
Answer:
Mars is 6.79 X 10^6 m
Step-by-step explanation:
Make him brainliest!
PLEASE LOOK AT THE IMAGE ATTACHED ITS VERY IMPORTANT
Answers
Answer:
Step-by-step explanation:
So, you wanna be a master?
Do you have the skills to be number 1?
(If not, I'll help you lol)
Okay, let's define what a circumference is.
Circumference - The entire outside of a circle, think of it as the "perimeter" of the circle, like how there is a perimeter for a triangle or square.
The equation for finding the circumference is as follows:
[tex]2\pi r[/tex]
r - the radius, or half-way line is a circle.
So, you see the number thats on a half way line in the circle? That is the radius. All you have to do is plug in that number into the equation (for r), and you get the answer.
#3
r = 15
[tex]2\pi (15) = 30\pi \\[/tex]
Now use a calculator and type in 30, then times it by pi (which is this symbol: [tex]\pi[/tex])
Circumference = 94.248
#4
r = 10
[tex]2\pi (10) = 20\pi \\[/tex]
Circumference = 62.832
Solve: x3 = 27
A) X = 3
B) X= 3 and x = -3
C) X = 9
D) X = 9 and x = -9
Answers
Answer:
C
Step-by-step explanation:
27/3=9
Just do cube root of 27.
x has to equal 3 because -3 cubed is -27, 9 cubed is 729, and -9 cubed is -729.
X = 3, The answer is choice A.
What is the difference between midpoint and perpendicular bisector?
Answers
Answer:The midpoint can be any middle part of a line, and the perpendicular Bisector is can only be 90 degrees.
Simplify 5 square root -48^14
Answers
Answer:
20b^7 sqrt(-3)
Identify the type of function represented by f(x) = 3(1:5)*.
A. Quadratic
B. Linear
C. Exponential decay
D. Exponential growth
Answers
Answer: Exponential growth
Step-by-step explanation:
#1
5.4
- This table of values represents a linear function.
х
у
-5
NIN
-1
5
) Enter an equation in the form of y = mx + b that represents the function.
7
8
9
-
Х
у
Answers
Answer: the answer is choice b
Step-by-step explanation:
HELP PLS FAST PLEASE HELP ME AHHH PLEASE
Answers
Answer:
Function 1 has a greater slope and greater y-intercept than Function 2.
Step-by-step explanation:
Function 1
Slope: 1/3
y-intercept: 2
Function 2
Slope: -2/4
y-intercept: -2
3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line y=x-4 ?
x-value of x-intercept _____
y- value of y-intercept _____
Answers
A checking account is set up with an initial balance of $5400, and $300 is removed from the account each month for rent (no other transactions occur on the account).
Write an equation that can be solved to find the number of months, m, it takes for the account balance to reach $1800.
Answers
Answer:
$1800 xm^2= 68658
Step-by-step explanation:
3/4 divided by 1/8 show work pls
Answers
Answer:
7
Step-by-step explanation:
a fraction divided by a fraction can be multiplied by the reciprocal. so...
instead of 3/4 ÷ 1/8, you do
3/4 * 8/1 which equals
24/4 which equals
6
Answer:
6
Step-by-step explanation:
3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 =6
*8×3=24 *4×1=4
*24÷4=6
2/3x+3/4=8 what is the answer
Answers
Answer:
x=87/8
Step-by-step explanation:
2/3x=8-3/4
2/3x=32/4-3/4
2/3x=29/4
x=29/4*3/2
x=87/8
Solve: (step by step please)
x^2+9x+9=0
Answers
Answer:
[tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Standard Form: ax² + bx + c = 0
Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Step 1: Write equation
x² + 9x + 9 = 0
Since we cannot factor the expression, we will have to use the quadratic formula.
Step 2: Define
a = 1
b = 9
c = 9
Step 3: Solve for x
Substitute: [tex]x=\frac{-9\pm\sqrt{9^2-4(1)(9)} }{2(1)}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{81-36} }{2}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{45} }{2}[/tex]Simplify: [tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]Answer:
X1= -9-3[tex]\sqrt5[/tex] over 2 X2= -9+3[tex]\sqrt5[/tex] over 2 (draw a line under the -9 to the 5
and put a 2 under like a fraction
i cant get the line all the way
across on here sorry
Step by step explanation:
x= -9 [tex]\sqrt9^2 -4x1x9[/tex] Over (draw a line under that) Put all that under sq root
2 x 1 also
x= -9+ [tex]\sqrt81-36[/tex] Over 2
2
x= -9 + [tex]\sqrt45[/tex] Over 2
2
x=-9 +3[tex]\sqrt5[/tex] Over 2
2
separate solutions gives your answer above
Also ......note ..... put a line under each + sign ok I worked hard getting this all down best i can
Are ratios 8:16 and 1:2 equal? Why?
Answers
Answer:
Yes, 8:16 and 1:2 are equal
Step-by-step explanation:
They are both equal to 1/2.
8/16 simplified is 1/2
You can multiply the numerator and denominator to get 8 / 16
1 x 8 = 8
2 x 8 = 16
8/16
Alyssa can do a job in 16
minutes. Adrian will do the
same work in 8 minutes. How
many minutes would it take
Alyssa and Adrian to do the
same job together?
Answers
Answer:
i think it would take them 8 minutes depending on how well they get along.
The water level in a bathtub is directly proportional to the time that the water has been running. If the water level is 4 inches after 5 minutes, what is the water level after 9 minutes? O A. 10 inches O B. 7.2 inches O C. 8 inches OD. 11.25 inches
Answers
Answer:
i think its 8
Step-by-step explanation:
becuse 4/5 its equal to 8/9 so thats why.
denada✌
47 426 round to the nearest thousands
Answers
Answer:
47 000
I hope this helps
plz answer if u can :P
Answers
Answer:
d
Step-by-step explanation:
sqaure root of both times each other gives 5
Yeah, I'm stupid.
Someone explain cause I'm not understanding
Answers
We can tell that the whole L shaped angle is 90 degrees because it has the little box in the corner. Now, the 90 degree angle is split into two parts with that line coming from the box. Those two parts of the whole 90 degree angle add up to 90 degrees.
90 = 4v + 2 + 9v - 3
Now, let's solve for v. Combine like terms.
90 = 13v - 1
Add 1 to both sides.
91 = 13v
Divide both sides by 13
7 = v