1/3 (d +4)-9 = 1/2(6-d)-4

Will mark as brainliest and 50 points will be given

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Work Shown:

A = 1+sqrt(2)

B = 1-sqrt(2)

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Using A and B, let's add and subtract those values

A+B = (1+sqrt(2))+(1-sqrt(2))

A+B = 1+sqrt(2)+1-sqrt(2)

A+B = 1+1+sqrt(2)-sqrt(2)

A+B = 2

and

A-B = (1+sqrt(2))-(1-sqrt(2))

A-B = 1+sqrt(2)-1+sqrt(2)

A-B = 1-1+sqrt(2)+sqrt(2)

A-B = 2sqrt(2)

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Next, square both sides of the A equation

A^2 = (1+sqrt(2))^2

A^2 = (1+sqrt(2))(1+sqrt(2))

A^2 = 1(1+sqrt(2))+sqrt(2)(1+sqrt(2))

A^2 = 1+sqrt(2)+sqrt(2)+sqrt(2)*sqrt(2)

A^2 = 1+2sqrt(2)+2

A^2 = 3+2sqrt(2)

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Do the same for B

B^2 = (1-sqrt(2))^2

B^2 = (1-sqrt(2))(1-sqrt(2))

B^2 = 1(1-sqrt(2))-sqrt(2)(1-sqrt(2))

B^2 = 1-sqrt(2)-sqrt(2)-sqrt(2)*(-sqrt(2))

B^2 = 1-2sqrt(2)+2

B^2 = 3-2sqrt(2)

There's a bit of nice symmetry going on with A^2 and B^2, due to A and B having similar symmetric structures themselves.

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Lets add A^2 to B^2

A^2+B^2 = (3+2sqrt(2)) + (3-2sqrt(2))

A^2+B^2 = 3+2sqrt(2) + 3-2sqrt(2)

A^2+B^2 = 3+3+2sqrt(2)-2sqrt(2)

A^2+B^2 = 6

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Now onto the final event

We'll use the difference of squares rule twice

Afterward, apply substitution using the previous sections above.

A^4 - B^4 = (A^2)^2 - (B^2)^2

A^4 - B^4 = (A^2-B^2)(A^2+B^2)

A^4 - B^4 = (A-B)(A+B)(A^2+B^2)

A^4 - B^4 = (2sqrt(2))(2)(6)

A^4 - B^4 = 2*6*2*sqrt(2)

A^4 - B^4 = 24*sqrt(2)

(1+sqrt(2))^4 - (1-sqrt(2))^4 = 24*sqrt(2)

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To check this with your calculator, you can type in the following

(1+sqrt(2))^4 - (1-sqrt(2))^4 - 24*sqrt(2)

The result you should get should be 0, or very close to it

I'm using the property that if x = y, then x-y = 0.

Answer:

30 student

Step-by-step explanation:

150/5=30

Answer:

he unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this help You!!!!!!!!!!!!!

Answer:

n + s = $68.75

Step-by-step explanation:

Amount spent on pizza and soda = $68.75

Number of pizza = n

The soda = s

Then the total amount soe t can be modeled thus :

(number of pizzas + number of soda) = total amount spent

n + s = $68.75

If the price of each slice of pizza and unit of soda was given, we could have been able to calculate the amount spent on each of soda and pizza.

Answer:

A) 19.2 ft^2

B) 28.9 ft^3

Step-by-step explanation:

Thickness = 8 inches

Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal

lets assume the side = 10 inches  

lets assume the thickness as the height of the prism = 8 inches

Assume length of the rectangle(l) = 5 feet

A) The surface area of the sandwich triangular prism

total surface area = bh + 2ls + lb

                             = 10*8 + 2(5*10) + ( 5 * 10 )

                             = 80 + 100 + 50 = 230 inches = 19.2 ft^2

B ) The volume of filing in cubic feet to the nearest tenth

V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]  ------- 1

where : a = b = c = 10 inches

h = 8 inches

input the given values into the equation 1 above

V= 346.41 inches ^3  =  28.9 ft^3

Answer:

J. $950

Step-by-step explanation:

p(n)= 10n-50

p(n)=10(100)-50

P(n)=1000-50

950

Answer:

x = 3

Step-by-step explanation:

First, isolate the variable by subtracting 5 on both sides:

3x=9

Then, divide both sides by 3:

x = 3

Answer:

If one angel is 74 so the solution is

[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]

Step-by-step explanation:

Please mark as brainliest

Answer:

y = 119

x = 29

Step-by-step explanation:

Answer:

y=-3x-5

Step-by-step explanation:

y = mx+b

m= -11 - 1

       2 - -2

y=-3x+b

(-2,1) and (2,-11)

is

y=-3x-5

Hope this Helps:)

Answer:

13.9

Step-by-step explanation:

Speed=distance/time

S=75,000/5,400

S=13.8 repeating OR (rounded) 13.9 m/s

Answer:

i believe the answer is 4

Step-by-step explanation:

Answer:

6 to 4 or 3 to 2

Step-by-step explanation:

To sove we need to find hypatonuse which you can do by counting across the bottom whichis 4 units and across the top which is 6 units so 6/4 which is 3 to 2 or 6 to 4

Answer:

Johnny earns 50 cents each hour, x.

Step-by-step explanation:

Answer:

Ariana wanted to buy cashews at the grocery store. Cashews are $0.5 per ounce. If Ariana has $10 how many ounces of cashews can she buy

Answer:

x+2y=-8

Step-by-step explanation:

Slope of given line = 2

Slope of the perpendicular line = -1/2

Equation of perpendicular line is (y-y1)=m(x-x1)

y-(-3)=-1/2(x-(-4))

y+3=-1/2(x+4)

2y+6=-x-2

x+2y=-8

Answer:

2 cups

Step-by-step explanation:

18/6 = 3

3 x 2/3 = 6/3

6/3 = 2

Step-by-step explanation:

f(3) = -3(3)-2

=-9-2

=-11

Answer:

the very bottom graph

Step-by-step explanation:

all of the points listed on the table match the graph

x values is found on the x axis (left to right)

y values are found on the y axis (up and down)

Answer:

see below

Step-by-step explanation:

From graph, points (2, 0) and (0, -2).

slope m = (y₂ - y₁) / (x₂ - x₁)

              = (-2 - 0) / (0 - 2)

              = -2 / -2

              = 1

y-intercept using anyone of the above points and m:

y = mx + b

0 = 1(2) + b

0 = 2 + b

b = -2

Equation of line using m and b:

y = 1x - 2

Use y = 1x - 2 to check the points given in tables:

All points in below table seems to work.

(0, -2)    

-2 = 0 - 2

-2 = -2

(1, -1)

-1 = 1 - 2

-1 = -1

(2, 0)

0 = 2 - 2

0 = 0

(4,2)

2 = 4 - 2

2 = 2

Answer:

100 inches Over 1 minute times × 1 foot Over 12 inches

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

Answer:

-7 < k < 7

Step-by-step explanation:

The absolute value of the variable k will be less than 7.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result. The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A number k is less than 3 units from 10. Then the equation is given as

k + 3 < 10

Simplify the equation, then the value of the variable k will be

k + 3 < 10

k < 10 - 3

k < 7

The absolute value of the variable k will be less than 7.

Your question was incomplete, your question was probably be...

A number k is less than 3 units from 10.

What's the absolute value inequality?

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

50%

Step-by-step explanation:

10 divided by 2 is 5. 5 is 50% of 10, and if you add 5 to 10, you get 15.

Answer: Bella invested $500 in first and $500 in second stock this year.

Step-by-step explanation:

Given: Total principal amount = $1000

Interest = $110

For first year , interest = P x r  , where P= principal , r= rate of interest ( in decimal)

For first bond , interest rate=  15% = 0.15

Let P = x

Interest = 0.15x

For second bond ,  interest rate=  7% = 0.07

Let P = 1000-x

Interest = 0.07(1000-x)=70-0.07x

Now, [tex]0.15x+70-0.07x=110[/tex]

[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]

Also, 1000-x = 1000-500=500

Hence, Bella invested $500 in first and $500 in second stock this year.

Answer:

yes

Step-by-step explanation:

well converse is

If q, then p

and inverse is

If no p, then not q

butttttt lets put this in human terms

If I am allergic to donuts, then I don't like to eat donuts.

and the inverse is

If I don't like to eat donuts, then I am allergic to donuts.

It is true no matter what! However, there could also be other reasons you don't liek donuts but nonthless this is one true reason that exists bc converse.

Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

Answer:

60⁰..................

Answer:

63 people

Step-by-step explanation:

Given parameters:

Number of students survey = 32

Number of those that liked ice-cream = 8

Total population size  = 252

Unknown:

How many people in the population should prefer ice cream  = ?

Solution:

  From the survey;

    8 out of 32 students prefer ice cream;

     8 : 32

     1: 4

This shows that 1 out of 4 students will prefer ice cream

NOw to the total population;

  If out of 4 students, 1 prefers ice-cream;

     Out of 252 students   y will prefer ice-cream

     Number of students that prefers ice-cream = [tex]\frac{252}{4}[/tex] = 63people

Step-by-step explanation:

y<3x-6,x=0 for y>-3x-5,y=0

y<-6 x<-5/3

y=0,x>2 x=0, y>-5

therefore, values of x will be 2<x>-5/3

and values of y will be -5<y>-6

so the point will be (-9,-1)

hope it helps.

Answer:

IT dependsssss

Step-by-step explanation:

what kind?

Answer:

A = 0.5714

basically the answer is option (d)

Answer:

acc. to me it should be

[tex] \sqrt{50} [/tex]