MATHEMATICS HIGH SCHOOL

(4/3)d^2+5=2a). d= -2/3 or d= 2/3
b). d= -3/2 or d= 3/2
c). d= -36 or d=36
d). NO REAL SOLUTION

Answers

Answer 1
Answer: d. no real solution.

(4/3)d² + 5 = 2
(4/3)d² = 2 - 5
(4/3)d² = -3
d² = -3 / (4/3)
d² = -3 * 3/4
d² = -9 / 4
d = √-9 / √4
d = -3/2

Even though I got the value of d, when I substituted the value to the equation, the equation is not equal to 2.

I got 8 = 2. not equal. no real solution.

Related Questions

Reorder the steps to construct Angle JOB, a copy of Angle A.__ Construct oj__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
A teacher assigns a journal to be completed. In the journal, a student is supposed to include 32 quotations from a book they read in class. Their are 19 chapters in the book. How many quotations are to be given from every chapter?
Need help ill upvoteTriangle ABC ​ is similar to triangle DEF . The length of BC is 21 cm. The length of DE is 10 cm. The length of EF is 14 cm. What is the length of AB?
Find the Pct (percentage of total) if the team won 12 games and lost 15 games. Type the Pct to the nearest thousandth.
Alexis has 32 2/5 ounces of beads. How many necklaces can she make if each uses 2 7/10 ounces of beads?

Which expression is a difference of cubes?
X^6-6
X^6-8
x^8-6
X^8-8

Answers

Answer: The correct expression is, x^6-8

Step-by-step explanation:

x^6 is represented in cube form as, (x^2)^3

'8' is represented in cube form as, 2^3

x^8 and '6' will not show cube form of integer power.

The expanded form of the given expression, x^6-8 is represented as,

x^6-8=(x^2)^3-2^3

This expression will showing the difference of cubes.

And the other options, x^6-6,x^8-6,x^8-8 will not show the difference of cubes.

Therefore, the correct answer is, x^6-8

The expression \boxed{{x^6} - 8} is a difference of cubes. Option (b) is correct.

Further Explanation:

The cubic formula can be expressed as follows,

\boxed{{a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right)}

Given:

The options are as follows,

(a). {x^6} - 6

(b). {x^6} - 8

(c). {x^8} - 6

(d). {x^8} - 8

Calculation:

8 is a cube of 2 and can be written as follows,

8 = {2^3}

{x^6} can be written as a cube of {x^2}.

{x^6} = {\left( {{x^2}} \right)^3}

Use the identity {a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right) in above expression.

\begin{aligned}{x^6} - 8&= {\left( {{x^2}} \right)^3}- {\left( 2 \right)^3} \n&= \left( {{x^2} - 2} \right)\left( {{x^4} + 2{x^2} + 4} \right)\n\end{aligned}

The expression \boxed{{x^6} - 8} is a difference of cubes. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about unit conversion brainly.com/question/4837736

2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponents and Powers

Keywords: Solution, factorized form, x^12y^18+1, exponents, power, equation, power rule, exponent rule.

Anyone plssss helppppp plssss

Answers

Answer:

E because he is 9/16 standard deviations away from the mean, which is an improvement from 1/10 standard deviations

Hope this helped and brainliest please

The dimensions of a rectangle box are consecutive integers. If the box has volume of 13,800 cubic centimeters, what are its dimensions?

Answers


If the dimensions were all the same number ... the box was a cube ...
then each dimension would be  (the cube root of 13,800) cm.

         ∛13,800 = 23.986... (rounded)

so the place to look is around 23 .

(22 x 23 x 24)  =  12,144     <==  too small; go up one integer

(23 x 24 x 25)  =  13,800     <==  Eureka !    

The consecutive integers are  23,  24,  and  25 .

Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7​

Answers

Answer:

m = -1

n= -8

Step-by-step explanation:

5m -3n = 19

m - 6 = -7

solve for m:

m = -7+6

m = -1

plug in m

5(-1) - 3n = 19

-5 - 3n = 19

-3n = 24

n = -8

Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 
5x^5 + 18x^4 + 30x^3 
5x^6 + 18x^4 + 30x^3
 6x^5 + 18x^4 + 30x^3
 6x^6 + 18x^4 + 30x^3

Answers

You are given the length of arectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You arerequired to find the volume of a rectangular prism. Using the equation V = l xw x h, we multiply the three dimensions. 

V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
V = 6x^5 + 18x^4 + 30x^3 
The volume of the rectangularprism is 6x^5 + 18x^4 + 30x^3.

1. Jonathan bought 10lb of flour at $7.50. He had a store coupon for $0.79. What was thefinal price for the flour?
the answer and work

Answers

Answer:

6.71

Step-by-step explanation:

The solution should be $6.71 because when you subtract $7.50 and $0.79 you end up with $6.71.
Other Questions
please help :) Geography doesn’t simply begin and end with maps showing the location of all the countries of the world. In fact, such maps don’t necessarily tell us much. No—geography poses fascinating questions about who we are and how we got to be that way, and then provides clues to the answers. ~Kenneth Davis The speaker in the passage above is stating that a. maps are not helpful to historians. b. human geography is more important than physical geography. c. historians want to know where people settled. d. physical features and locations tell historians about the ways people lived.
Solve the following exponential equations 4^x=1024
1. f(x) = x + 5, f(x) = 9
What are the common factors of 60 36 and 24?