Do I always simplify a question before doing the operations? For example, do I always simplify a fraction before doing the operations?
For example for this question:
(8-4√2) /2 + ( 6+4√2)/ 2

I had to simplify the fraction by factoring, cancelling and then do the operation or I got it wrong.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

it will be easier to do calculations later if you simplify first

in this case you did the best and shortest way

you could rewrite

(8-4√2) /2 + ( 6+4√2)/ 2 as

4-2[tex]\sqrt{2}[/tex]  + 3 + 2[tex]\sqrt{2}[/tex] and then 7 + 4[tex]\sqrt2[/tex]


Related Questions

a hot air balloon begins to descend towards the ground from a height of 2250 feet. If it descends at the rate of 150 feet per minute, find the height after 12 minutes.

Answers

Answer: 450 ft.

Step-by-step explanation:

h = 2250 - 150*12

h = 2250 - 1800

h = 450

The height after 12 min is 450 ft

Answer:

450

Step-by-step explanation:

-2250  - 150 x 12

-2250 -  -1800

-450 put in postive

-276

Hope this helps

What is m Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me...

So the value of X is 50 degree

Look at the attached picture

Hope it will help you

Good luck on your assignment...


[tex] 8.4^3 \times 8.4^2 = [/tex]
help ​

Answers

Answer: 41821.19424

Step-by-step explanation:

can anyone rewrite quadratic function in standard form?

Answers

Answer:

hey I believe standard form would look like this:  f(x) = a(x - h)^2 + k

this is regular form f(x)=ax^2+bx+c or something like x^2+4x+4.

I think H and K are the vertex

hope this is close to what your looking for.

Step-by-step explanation:

I think it's x^2+6x-18

Quadratic function in standard form should be f(x)=a(x-h)^2+k

A circle is drawn to represent a pizza with a 12-inch​ diameter. The circle is cut into eight congruent pieces. What is the length of any one piece of this circle?

Answers

Answer:

6 inch

Step-by-step explanation:

half the diameter to find the length

The outer edge length of one piece of the cut circle is  3π / 2 inches

Diameter of a circle

The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.

The circle representing the pizza is 12 inches in diameter. The radius is half of the diameter. Therefore,

radius = 12 × 0.5 = 6 inches

The circle is cut into 8 congruent pieces. The length of the outer edges of any one piece of the circle can be calculated as follows;

circumference of the circle = 2πr

circumference of the circle = 2 × π × 6 = 12π inches

Now let's divide it into 8 part.

edge length of one piece of the circle = 12π / 8 = 3π / 2

learn more on diameter here: https://brainly.com/question/231870

Which expression is equivalent to

Answers

Answer:

A. [tex]x^\frac{5}{3}y[/tex]

Step-by-step explanation:

If you wanted to solve this system by elimination, what would I multiply the second equation by to eliminate the x's when the 2 systems are added? 4x- 3y = -5 and 21 + 6y = -15

4
-6
3
-2​

Answers

Answer:

You simply multiply the second equation by -4/21

Answer:

There is no x in the second equation

which of the following describes the zeros of the graph...​

Answers

Answer:

d) 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

Step-by-step explanation:

Explanation:-

Given  polynomial equation  

                   ⇒        - x⁵ + 9 x⁴ - 18 x³

                    ⇒     - x³ ( x² - 9 x + 18 )

                    ⇒    - x³ ( x² - 6 x  - 3 x + 18)

                    ⇒    - x³ ( x(x -  6)  - 3( x - 6))

                   ⇒     - (x-0)³ (x-6)(x-3)

∴ The Zeros of the given function is 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

                       

Solve the equation. Then check your solution.
n/54 = 4/9
a. 24
b. 2/3
c. 6 4/9
d. 121 1/2

Answers

the answer is 24 because,

[tex] \frac{24}{54} = \frac{4}{9} \\ we \: have \: to \: cancel \: with \: 6 \\ \frac{4}{9} = \frac{4}{9} [/tex]

hope it helped :-)

In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.

Year National Average

Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the median in the national average teachers’ salary between the years 1960 and 2010.

$8,626.00
$50,207.00
$15,970.00
$23,668.50

Answers

Answer:

$23,668.50

Step-by-step explanation:

Median is just the middle

∠a and ∠b are complementary angles. ∠a measures 55 degrees
What is the measure of ∠b?

Answers

Answer:

<b = 35

Step-by-step explanation:

Complementary angles add to 90 degrees

a + b = 90

55 + b = 90

Subtract 55 from each side

55+b-55 = 90-55

b = 35

Answer:

<b=35

Step-by-step explanation:

Complementary means 90 degrees

and 90-55= 35 degrees

Subtract 5x2+2x-11 from 3x2+8x-7.Express the result as a trinomial.

Answers

Answer:

-2x^2 +6x +4

Step-by-step explanation:

3x^2+8x-7 -  (5x^2+2x-11)

Distribute the minus sign

3x^2+8x-7 -  5x^2-2x+11

Combine like terms

3x^2 - 5x^2+8x -2x+11-7

-2x^2 +6x +4

30 points!

The table shows the number of miles driven over time. Express the relationship between distance and time in a simplified form as a unit rate.

Time (hours): 4, 6, 8, 10
Distance (miles: 188, 282, 376, 470

Answers

Answer:

47 miles per hour

Step-by-step explanation:

Answer:

The unit rate for the amount of miles driven every hour is is 1:47

Step-by-step explanation:

188 / 4 = 47

282 / 6 = 47

376 / 8 = 47

470 / 8 = 47

Note that the symbol / is the equivalent of a division sign in math.

which of the following three sets of lens could be used to form a right triangle
39, 15 and 36 .
12, 8 and 4
.13, 17 and 9
Or none of the above

Answers

None of the above you can see that if you read the question carefully and I’ll help you

Answer:

(39, 15, and 36)

Step-by-step explanation:

If your talking about the first number being the hypotenuse, then the answer  would be correct

Find the endpoint of the line segment with the given endpoint and midpoint.

Answers

Answer:

(10, 2)

Step-by-step explanation:

To get from the given endpoint to the midpoint, 6 was added to x and 2 was added to y. As per the definition of a midpoint, the resulting two line segments will be congruent (first endpoint and midpoint congruent to midpoint and second endpoint). Use the same formula (x + 6, y + 2) to find the second endpoint (use the x and y of the midpoint):

(x + 6, y + 2)

(4 + 6, 0 +2)

(10, 2)

Answer:

Step-by-step explanation:

[tex]Midpoint (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\(\frac{x_{1}-2}{2},\frac{y_{1}-2}{2})=(4,0)\\\frac{x_{1}-2}{2}= 4 ; \frac{y_{1}-2}{2}=0\\\\x_{1}-2=4*2 ; y_{1}-2=0\\\\x_{1}-2= 8 ; y_{1}-2=0\\\\x_{1}=8+2 ; y_{1}=0+2\\\\x_{1}=10 ; y_{1}=2\\[/tex]

Endpoint  ( 10, 2)

how do you find volume if you only have the surface area

Answers


To find the volume of a cube from its surface area, first use the formula for surface area to find the length of one side of your cube. To do this, plug the surface area you're given into the formula, which is surface area = 6x^2, where x is the length of one side of the cube. Then, solve for x.

The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?


y = 15x + b

Answers

Answer:

21

Step-by-step explanation:

Equation of the given line y = 15x + b.

Points passing through the above line (6.4, 117) and (6.6, 120)

If these point pass through the given line.

These point should satisfy the equation.

plugging in value of one of the point (6.4, 117)  in the line y = 15x + b

we have

117 = 15*6.4 + b

=> 117 = 96 + b

=> 117 - 96 = b

=> b = 21

Thus, value of b in the given equation is 21.

Answer:

21

Step-by-step explanation:

When x = 6.4, y=117, therefore

15*6.4 + b = 117

b = 117 -  96 = 21

Also, I got it right on ed

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.

Answers

Answer:

A is TRUE (44 in²*2=88 in²)

B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)

C is TRUE if x(x-3)=88==>x²-3x-88=0

D is TRUE :

x²-3x-88=0

Δ=9+4*88=361=19²

==>x= 11 or x=-8 (excluded for <0)

E is FALSE for 11*4≠88

Step-by-step explanation:

correct me if i am wrong

A,C, D.

because i got it right!

Part A: is x = 6 a solution of the equation 8x + 8 = 56? Explain. Part B: Suppose the solution of the equation stays the same. How would the right side need to change if the solution is now x = 9?

Answers

Answer:

Part A: yes . Part B: minus 24

Step-by-step explanation:

Part A

8x + 8 = 56

8x = 56-8

8x = 48

x = 48 / 8

x = 6 , YES!

Part B

Suppose x = 9 and find y:

8(9) + 8 + y = 56

80 + y = 56

y = 56 - 80

y = -24

So we have to add -24 to the equation. The new equation: 8x + 8 - 24 = 56

A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 10100 dollars?

Answers

It would be about 5 years

It will take almost 6 years to depreciate the value of the car to 10100 dollars.

What is Depreciation?

Depreciation is a term used to indicate the decreasing value of an asset over time due to use, unfavorable market conditions and so on.

Initial amount of the car = 15700 dollars

Depreciating percent = 7.5% = 7.5/100 = 0.075

Final amount = 10100 dollars

Number of years taken to depreciate the value of the car to 10100 dollars can be found by the formula,

A = P(1 + r)ⁿ

where A = 10100 dollars, P = 15700 dollars, r = -0.075.

10100 = 15700 (1 - 0.075)ⁿ

10100 / 15700 = (1 - 0.075)ⁿ

0.6433 = (0.925)ⁿ

Taking logarithm on both sides,

㏒ 0.6433 = ㏒ (0.925)ⁿ

We have the power rule for logarithms, ㏒ (mⁿ) = n ㏒(m)

㏒ 0.6433 = n ㏒ (0.925)

n = ㏒ 0.6433 / ㏒ (0.925)

n = 5.658 ≈ 6 years

Hence almost 6 years will be taken to depreciate the value of the car to 10100 dollars.

Learn more about Depreciation here :

brainly.com/question/14682335

#SPJ3

Can someone help me with this question?

Answers

Answer:

nope

Step-by-step explanation:

lol this is a joke dont take it srsly

-3x - 5=16 what does x equal?

Answers

Answer: -7

Step-by-step explanation:

-3x - 5 = 16 (add 5 to 16)

-3x = 21 (divide by -3)

x = -7

Answer:

-7

Step-by-step explanation:

-3x-5=16

add 5 to both sides

-3x=21

divide both sides by -3

x=-7

Solve for missing angle, show your work : HELP!

Answers

Answer:

105

Step-by-step explanation:

The interior angles must sum to 360

360-91+82-82 = 105

What does measuring the spread of a data set tell us, and why is that significant?

Answers

Step-by-step explanation:

Measure of spread is used in describing the variability in a sample.

Examples of measure of spread are: Mean, Median and Mode.

A measure of spread helps in giving an idea of how well the mean, or mode, or median, whichever of the three measure of spreads we use, represents the data under consideration. If the spread of values in the data set is large, that means there a lot of variation between the values of the data set. It is always better to have a small spread.

Answer:

Measuring the spread of a data set tells us how far are the values of data set to respect the mean. For example, large mean absolute deviation (MAD) value indicates that the values of data set are very different from the mean, i. e., they are very spread. Therefore, the mean is not representative of the data. On the other hand, in a small spread case, the mean is representative.

100 POINTS!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER AND STEP BY STEP EXPLANATION! PLEASE ANSWER BOTH QUESTIONS

Answers

Answer:

840[tex]cm^{2}[/tex]

Step-by-step explanation:

8×6×15=720

5×6×4=120

720+120=840

Answer:

V= 840cm^3,   V=800cm^3

Step-by-step explanation:

First you want to calculate the volume of the entire imaginary prism, 12×15×6

=1080,

afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.

12-8=4            5-15=10

Now calculate the volume of the bite, 4×10×6

=240

Now take the bite out of the sandwich, 1080-240

= 840

Follow the same steps, though this time the sides of the "bite" are given.

10×12×8

= 960

4×5×8

= 160

960-160 = 800 cm

Could u pls show me step by step

Answers

Answer:

Area = 36 sq. units

Step-by-step explanation:

The 3 values you need to solve for the area are the top base length, bottom base length, and height.

Top base length = 7 . It's the distance between point A and B.

Bottom base length = 11. It's the distance between points C and D.

Height = 4. It's the perpendicular distance from the top to the bottom base.

The formula to solve the area of a trapezoid (or trapezium, I'm American) is:

A = [tex]\frac{1}{2}h(b_{1} +b_{2})[/tex]

Put in the numbers above for the unknowns and you will get this:

A = [tex]\frac{1}{2}(4)(7 + 11)[/tex]

Simplify:

A= [tex]\frac{1}{2}(4)(18)[/tex]

A = 2(18)

A = 36

So the answer is 36. Hope I helped!

Answer:

36

Step-by-step explanation:

top base= B(x)-A(x)= 10-3= 7

bottom base= C(x)- D(x)= 12-1= 11

height= A(y) - D(y) = B(y)- C(y)= 5-1=4

Area= 1/2(7+11)*4= 36

Tollows.
1. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost of babysitting.
When finished writing the equation, graph your line and answer the questions.
Equation: _y=5*x+3
If the babysitter made 48 dollars, how long did they babysit for?

Answers

Answer:

The equation is y=5x+3. If she made 48 dollars, she babysat for 9 hours.

Step-by-step explanation:

y= $48

48=5x+3

48-3=45

45=5x

45/5=9

x=9

To plot on graph, put one point at point (0,3), then, go up 5, over 1, and plot another point. Keep doing that until you have a few points and then use a ruler ot connect the dots.

Should the graph of x+3y<-8 be shaded above or below the boundary line ?

Answers

Answer:

It will be below the boundary line

Which two numbers... add to 5 and multiply to -14?

Answers

Answer:

-2 and 7

the only factors for 14 is 1,14 and 2,7 so you just see which has a difference of 5.

Hope this helps

Step-by-step explanation:

f(h) = 45+
20
h +0.5
g(h) = 45 + 33(0.5) (h+0.5)

Answers

Steps:

Question 1:

Step 1: Multiply both sides by h+0.5.

Step 2: Factor out variable f.

Step 3: Divide both sides by h^2+0.5h.

Question 2

Let's solve for g.

Step 1: Divide both sides by h.

Answers:

1: f=45h+42.5/h²+0.5h

2: g=16.5h+53.25/h

Please mark Brainliest

Hope this helps.

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