Step-by-step explanation:
[tex] { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} [/tex]
[tex] = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )[/tex]
[tex] {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} [/tex]
I hope it helped you
Which of the following tables represent linear relationships?
Answer:
Table 2 and 3
Step-by-step explanation:
A linear relationship should show a straight line, showing that it's linear.
*View the attached graphs*
Hope this helps!
True or false, in a ratio the units are not written
Answer:
True
Step-by-step explanation:
A ratio is normally written using whole numbers only, with no units, in its simplest form. The numbers in a ratio must be written using the same units.
e.g. ratio of 1:2
False, ratio's do no have units.
28. Pay attention to the height data (cm) of the following 10 students! 155, 153, 153, 160 157, 155. 160, 155, 150, 155 The data mode is Your :
A. 150
B. 153
C. 155
D. 157
Answer:
c.155
Step-by-step explanation:
because it appears there the most :)
Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answer:
Step-by-step explanation:
To get the equation, you must create the factors containing the roots.
So for example the first set of roots can be produced from
(x -2)(x^2 + 9)
which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives
x^3 -2x^2 + 9x - 18
The second one is a bit more difficult to judge.
-5 and -3+ square root(2)
I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)
if x-y= -10 and x-y=2 what is the value of x
help its so hard!!!!!!!!!
Answer:
It should be 27 from the answer I got
Step-by-step explanation:
Hope this helps <3
Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown. Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown.
The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.
How to illustrate the dimensions?Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.
In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:
= 2(Length + Width)
= 2(27 + 20)
= 2 × 47
= 94m
In conclusion, 94m will be cleaned.
Learn more about dimensions on:
https://brainly.com/question/19819849
Find the area of a green shaded region in the figur
Answer:
The answer is 156cm^2
Step-by-step explanation:
Solution:
The shape given is a trapezium.
The area of the green region = Area of the outer trapezium - Area of the inner trapezium.
[tex]Area\: of\:a\:trapezium\:=\frac{1}{2}\:(a+b)h[/tex]
[tex]Where\: a,b\:are\:the\:bases,\:h=height[/tex]
[tex]For,\:outer\:trapezium,[/tex]
[tex]a=10cm,\:b=14cm,h=16cm[/tex]
[tex]Area\:of\:the\:outer\:trapezium=\frac{1}{2}\:(10+14)16[/tex]
[tex]=\frac{1}{2}(24)(16)=192cm^{2}[/tex]
[tex]For\:inner\:trapezium,[/tex]
[tex]a=3cm,b=6cm,h=8cm[/tex]
[tex]Area\:of\:the\:inner\:trapezium=\frac{1}{2}(3+6)8[/tex]
[tex]=\frac{1}{2}(9)(8)=36cm^{2}[/tex]
[tex]193cm^{2}-36cm^{2}[/tex]
[tex]=156cm^{2}[/tex]
The answer is 156cm^2
If x = 10 units, y = 12 units, z = 12 units, and h = 8 units, then what is the surface area of the triangular prism shown above?
could you repost/answer with a picture?
which statement is true? A. parallel lines to form four right angles B. parallel lines will always be the same distance apart C. parallel lines intersect at no more than one point pls answer :) it would help me alot
Answer: C.
Step-by-step explanation:Parallel lines never touch so they cant be intersecting.
Question 6(1 point)
QS is a tangent to circle P. Find QS.
Lin's grandmother ordered needles that were 0.3125 inches. The pharmacist sent her 0.6875 inches needles. How longer were these needles than the ones she ordered?
Answer:
0.375
Step-by-step explanation:
0.6875-0.3125 = 0.375
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any side lengths.
Step-by-step explanation:
rectangle l = 6 units
b = 3 units
area = 18 units ^ 2
parallelogram l = 6 units
b = 1 unit
area = 6 unit ^2
total area = 24 units ^2
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
50, 30 and 20
Step-by-step explanation:
Check out the attached photo
Ben and Carson went to the movies with friends. Ben purchased 3 popcorn and 2 boxes of candy for $41. Carson purchased 1 popcorn and 2 boxes of candy for $29. How much did the popcorn cost?
Answer:
$6
Step-by-step explanation:
B- 3P+2C=$41
C-1P+2C=$29
since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought
12/2=6
since you need to find the price of 1 popcorn you have to divide 12 by 2
there are 36 pupils in a class.the number of boys is twice the number of girls.how many are girls?
Answer:
12 girls
Step-by-step explanation:
Boys to girls ratio= 1:2
Thats means there are (1+2) 3 total parts.
So [tex]\frac{36}{3}[/tex]=12
Each part is 12 so
boys is 12*2= 24 boys
Girls id 12*1= 12 girls
Answer:
12
Step-by-step explanation:
Total number of students in class ⇒ 36
Given that,
The number of boys is twice the number of girls.
First, let us make an expression to find the number of girls.
For that, let the number of girls be x.
Number of girls ⇒ x
Number of boys ⇒ 2x
Total number of pupils ⇒ x + 2x
So,
x + 2x = 36
3x = 36
Divide both sides by 3.
x = 12
Therefore, there are 12 girls and 24 boys in the class.
What is the product? 3 x (-6 -14 -11 -9)
Answer:
-120
Step-by-step explanation:
Following the rules of PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction)
First when solve the numbers in the parentheses:
-6-14-11-9= -40
Then we can do the multiplication:
3*-40 = -120
Hope this helps! :)
Answer:
-18 -33
-42 -27
Step-by-step explanation:
Work out
(4 x 10-6) - (2 x 10-8)
Give your answer in standard form.
Answer:
20x + 2
Step-by-step explanation:
Find the slope of
the line
Gve your answer as
a fraction in simplest
form.
Answer:
slope = 1/2
Step-by-step explanation:
we rise 1 and run 2 which gives us y=1/2x
Find the solutions to the equation below.
Check all that apply.
4x^2 - 4x - 2 = 0
A. x = -1/2
B. x = 3/2
C. x = 1/2
D. x = -2
E. x = 3
F. x = 2
Answer:
A and B.
Step-by-step explanation:
4x^2 - 4x - 3 = 0
4x^2 + 2x - 6x - 3 = 0
2x(2x + 1) - 3(2x + 1) = 0
(2x - 3)(2x + 1) = 0
x = 3/2, -1/2.
HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER
Answer:
6x+7=13
2/3x+8= 8.66
Step-by-step explanation:
calculator and rule with a compass
To solve application problems using proportions
The ratio of weight on the moon to weight on Earth is 1:6. How much would a 174-pound person weigh on the moon?
Please show work and help please thank you
Step-by-step explanation:
[tex] \frac{1}{6} = \frac{x}{174} [/tex]
x = 174/6
= 29 pound person weight on the moon.
3/4 of ... is 12 I neeed your help please help me
Answer:
The number is 16.
Step-by-step explanation:
So we need to find 3/4 of a number to get 12.
We don't know what the number is, so we assign it a variable. We will assign the variable x and try to solve it.
We translate our problem into an equation. Since x is the variable and we multiply by 3/4, we get the value of 12, which is exactly what we are trying to do.
(3/4)(x) = 12
To solve, we multiply both sides by 4/3, because in order to solve for x (the variable), it needs to be separated and isolated from everything else.
(4/3) * (3/4)(x) = (4/3) * 12
4/3 * 3/4 = 1 and (4*12)/3 = 48/3 = 16
x = 16
The number is 16.
Describe the ratio of corresponding measures in scale drawing and the actual measure they represent
Answer:
More data needed.
Step-by-step explanation:
jijijijiji
Find the slope of the line 11x + y = -30.
Answer:
slope = -11 or m = -11
Step-by-step explanation:
11x + y = -30
y = -11x - 30
I hope this helps!
A politician takes an SRS of 75 citizens in a county to see what proportion of citizens sampled are satisfied with
their standard of living. Suppose that 80% of the 118,000 citizens in the county are satisfied with their
standard of living.
What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are
satisfied with their standard of living?
Answer:
μp^ = 0.8
σp^ = √0.8(1−0.8)/75
Step-by-step explanation:
find the slope and y-intercept of the line y=7x-9
Answer:
Slope: 7
Y-Intercept : -9
Step-by-step explanation:
find in grammes 1/5 of 2 kg + 60 g
Answer:
460
Step-by-step explanation:
1/5 of 2kg is .4 kg
.4kg converted to grams is 400 grams
400g + 60g= 460
THE ANSWER IS 460
The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.
y=-5x-2
Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2Hope it helps.
Do comment if you have any query.
PLEASE HELP ILL GIVE FIVE STARS AND GIVE BRAINLIEST AND GIVE THANKS PLEASE HELP
Ray is x years old. His brother Ron is y years older than Ray.
What will the difference of their ages be in 5 years?
ray is x years old
Ron is x+y years old
in 5 years ron will be 5 years older than now, so x+y+5 years old
orAnswer:
x - x + y + 5 - 5 = y or x + y - x = y
Step-by-step explanation:
The difference now,
x + y - x = y
The difference in 5 years,
(x + y + 5) - (x + 5) = x - x + y + 5 - 5
x - x + y + 5 - 5 = y
The difference in their ages never changes
