I need help with this algebra question can someone explain the steps on how you solve it ?

I Need Help With This Algebra Question Can Someone Explain The Steps On How You Solve It ?

Answers

Answer 1

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

Answer 2

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

Write the steps to solving the following problem.
4 - 3x = -1
Step 1:
Step 2:

Answers

Step 1: Add 3x to both sides to get 4 = 3x - 1

Step 2: Add 1 to both sides to get 5 = 3x

Step 3: Divide by 3 on both sides to get 5/3 = x

Answer:

x = [tex]\frac{5}{3}[/tex]  or [tex]1 \frac{2}{3}[/tex]

Step-by-step explanation:

Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

~

Step 1:

Subtract 4 from both sides of the equation:

4 (-4) - 3x = -1 (-4)

-3x = -1 - 4

-3x = - 5

Step 2:

Divide -3 from both sides of the equation:

(-3x)/-3 = (-5)/-3

x = -5/-3

x = 5/3

x = 1 2/3

What is an equation of the line that passes through the point (8,2) and is parallel to the line x+4y=28

Answers

Answer:

y = -1/4x + 4

Step-by-step explanation:

x+4y=28

4y = -x + 28

y = -1/4x + 7

slope m = -1/4

Parallel lines have similar slope so we'll use -1/4 from above and given point (8,2) to find y-intercept.

y = mx +b

2 = -1/4(8) + b

2 = -2 + b

b = 4

Using m and b from above we can now form the new equation of line that is parallel to y = -1/4x + 7.

y = mx + b

y = -1/4x + 4

What is the slope of a line perpendicular to the line whose equation is
12x – 3y = 81. Fully reduce your answer.

Answers

Answer:

slope of perpendicular line is -1/4

Step-by-step explanation:

slope of standard equation of line that is ax+ by = c is

slope m = -a/b

given equation is

12x – 3y = 81

comparing it with ax+ by = c

a = 12

b = -3

thus

slope of given line = -12/-3 = 4

we also know product of slope of two perpendicular line is -1

let the slope of other line be m

thus,

product of given line line and perpendicular line is -1

4*m = -1

m = -1/4

Thus,

slope of perpendicular line is -1/4

Please answer showing work on paper if you can.

Answers

The answer is F=(-14,11)
Steps:

what is the square root of -1

Answers

Negative numbers don't have real square root, it always has to be a positive number or 0.


Prayut is buying peanuts to make satay sauce to serve with
noodles. He buys a bag of peanuts for $1.20.
What is the unit price per ounce Prayut pays for the peanuts? (16 oz = 1 lb)
$0.15
$0.20
O $2.40
O $3.20

Answers

Answer:

$0.15

Step-by-step explanation:


Rational number
between 2 and 3?

Answers

Answer:

it would be 7 and 8

Step-by-step explanation:

Answer:

rational numbers lie between 2 and 3 are infinite there are infintie numbers of rational number which lie between 2 and 3

evaluate the given algebraic expression ​

Answers

Answer: 20

Step-by-step explanation: We have to put the given x and y values into the equation, so 2(7) + 2(3)  is the same thing as 14+6, so the answer would be 20.

Answer:

20

Step-by-step explanation:

2x+2y

2(7)+2(3)

14+6

20

Kai took five tests this semester. His scores are listed below.

92, 88, 90, 96, 84

What is the mean absolute deviation of Kai's test scores?


4.0


3.2


2.0


1.6

Answers

Answer:

3.2 is the answer. Your welcome

Find the LCM (least common multiple) of 15 and 8.

LCM =

Answers

Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 115% of a number is 460, what is 75% of that number?

Answers

Answer:

300

Step-by-step explanation:

Step 1:

460/115 = x/75         Equation

Step 2:

115x = 34,500       Multiply

Step 3:

x = 34,500 ÷ 115         Divide

Answer:

x = 300

Hope This Helps :)

Find the square root of the given numbers

1. 114
2. 625
3. 81
4. 729​

Answers

1- 12 (I think you ment 144)
2-25
3-9
4-27

Answer:

1. +/- 10.67707825

2. +/- 25

3. +/- 81

4. +/- 27

use the graph shown to complete the following sentence. if (4, y) is an ordered pair of the function, then y = ___.

Answers

Answer:

If (4, y) is an ordered pair of the function, then y = 1.

Step-by-step explanation:

Answer:

1 is your answer ;)

Step-by-step explanation:

When it comes down to it graphing is really easy all your doing is lining up dots on a coordinate grid or a axis.

PT 2 OF THE 1ST PROBLEM. PLS HELP IM BEGGING YOU!!!!

Answers

Answer:

n=5

Step-by-step explanation:

3/9 = 1/3

so

1/3=n/15

by cross multiplication

15×1 =n×3

15=3n

so

n=15÷3

n=5

Add: x 5 - 4x 4 + 7x 3 + 8, 9x 3 + 7x 2 - 10, and -2x 5 + 7x 4 - 3x + 8.

Answers

Answer:

66 x+6

Step-by-step explanation:

Because you add from the x's then you go on from the hope this helped :) .

cheetah can run 70 miles per hour. What is this speed in feet per hour? *

Answers

Answer:

369600 feet per hour

Step-by-step explanation:

1m = 5280ft

5280 x 70 = 369600

Answer:

369,600 feet per hour

Step-by-step explanation:

1 mile = 5,280 feet

70 mph (cheetah's speed) x 5,280 feet (feet in 1 mile) = 369,600 feet (cheetah's speed in feet)

help with math problems ​

Answers

Answer:

hope that will help you

Two trains are traveling at constant speeds on different tracks.

Answers

Answer:

Train B is traveling faster

Step-by-step explanation:

From the picture, we want to know which train is traveling faster

We can know this by knowing the speed of the trains

Mathematically;

speed = distance/time

Train A

12.5 m in 1 second

speed = 12.5/1 = 12.5 m/s

Train B

100 m in 4 seconds

speed = 100/4 = 25 m/s

So train B is traveling faster

This is because it covered a distance of 100 m in 4 seconds as opposed to train A which covered a distance of 12.5 m

in 1 second

5)A chef has 3 1/16
pounds of flour in his kitchen. He buys

another 6 1/2
pounds of flour. How much flour does he

have in all?

Answers

Answer:

9 9/16

Step-by-step explanation:

The first step is to find the LCD of 16 and 2

It is 16, and you can multiply the 6 1/2 by 8 which equals 6 8/16

Then you add

3 1/16 + 6 8/16 is equal to 9 9/16, which is your answer.

Hope this helped

Sorry if it's wrong

:)

Answer:

the chef has 9 9/16 pounds of flour

what situation could -16/4 represent?

Answers

Answer:

I would say C

Step-by-step explanation:

Since two negatives make a positive

The volume of a rectangular prism is 240 cm3. The height and width are each 4 cm. What is the length?

Answers

Answer:

length is 15 cm

Step-by-step explanation:

4 * 4 * x = 240

16x=240    : divide by 16 on both sides

x = 15

then to check

15 cm x 4 cm x 4 cm = 240 cm^3

please help this makes no sense

Answers

Answer:

121 1/4

Step-by-step explanation:

The stock market went up 30 1/2 points, then down 90 3/4 points. The total change is equal tor 121 1/4.

Which function represents the graph of this plz help for brainiest

Answers

i think it’s g(x) = |x+2| -4

Answerr for money!!!

Answers

Answer:

Line s and Line t are parallel.

Step-by-step explanation:

Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.

By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.

I hope you find my answer and explanation to be helpful. Happy studying.

the intercept is a point where the graph of a function or relation does not intersect with the y- axis and the x-axis of the coordinate system : true or false

Answers

Answer:

False

Step-by-step explanation:

The intercept is the point where the graph crosses over the y-axis

PLEASE HELP!!! I NEED TO TURN THIS IN IN 5 MINS!!!
What belongs in the blank spaces in the equations? What should be dotted on the graphs?. ( Show Your Work!)

Answers

Answer:

Cool Down 2:

y = -2x+4

y=1x+1

Part 2:

y = -5/1x +3

y = -6/1x +4

Step-by-step explanation:

Select the correct answer from each drop-down menu

Simplify

Answers

Answer:

[tex]3\sqrt7[/tex]

Step-by-step explanation:

This is because you can split 63 into two numbers, [tex]\sqrt{9}[/tex] and [tex]\sqrt{7}[/tex]. When you simplify [tex]\sqrt{9}[/tex] turns into 3 but [tex]\sqrt{7}[/tex] will not simplify further so it will be [tex]3\sqrt{7}[/tex].

Don claims that perpendicular lines are lines that intersect such that at least one of the angles is a right angle.
Determine whether each statement below justifies the claim. Select Yes or No for each statement.
Yes No
Intersecting lines allow for the creation of four angles with a common vertex.
O OD
If one of the angles is a right angle, the angle vertical to it must also be a right angle.
Because linear pairs are complementary, the remaining two angles must also be right angles. O

Answers

Answer:its actually yes, yes, no

Step-by-step explanation:

I have the answer bc it showed the answer on my test right after

3. If Q is between P and R, then PR = PQ+ QR.

Answers

No QR + QP that is the the answer

i wonder if this is a good thing

Answers

Answer:

its a good thing but the warnings u may get banned

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