Help on this if you can please

Answer:

ab+bc+ca=0

Step-by-step explanation:

We are given:

[tex]x^a=y^b=z^c[/tex]

xyz=1

Separating equations:

[tex]x^a=z^c[/tex]

[tex]y^b=z^c[/tex]

Solving the first equation for x:

[tex]\displaystyle x=z^\frac{c}{a}[/tex]

Solving the second equation for y:

[tex]\displaystyle y=z^\frac{c}{b}[/tex]

Substituting in

xyz=1:

[tex]\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1[/tex]

Adding the exponents:

[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1[/tex]

Since [tex]1=z^0[/tex]:

[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0[/tex]

The base is z on both sides so we get rid of them:

[tex]\displaystyle \frac{c}{a}+\frac{c}{b}+1=0[/tex]

Multiplying by ab:

bc+ac+ab=0

Reordering:

ab+bc+ca=0

Step-by-step explanation:

i wanna know too tho......

Answer:

1st and 4th

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of a horizontal line is y = b where b is the y-intercept. Since the slope of a horizontal line is 0, the general formula for the standard form equation, y = mx + b becomes y = 0x +b y = b. Also ,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.

Answer:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Step-by-step explanation:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Answer:

B

Step-by-step explanation:

The pattern is x/-3

Answer: 60%

Step-by-step explanation:

if the coat is 25 dollars, 10% of the coat is 2.50

15 dollars /2.5=6

you saved 60 percent

Answer:

144

Step-by-step explanation:

the factors of 864 are 1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

the underlined are perfect squares

144 is the biggest

Answer:

A. $0.59

B. $0.57

C. $0.54

The best deal is 25 lbs for $13.59

Step-by-step explanation:

A) 4 lbs for $2.37

Units price (price per lb) = $2.37 / 4

= $0.5925

Approximately $0.59

b) 15 lbs for $8.57

Price per lb = $8.57 / 15

= $0.5713

Approximately $0.57

c) 25 lbs for $13.59

Price per lb = $13.59 / 25

= $0.5436

Approximately $0.54

Which bag (4, 15, or 25) is the best deal?

The best deal is 25 lbs for $13.59

Answer:

$2 each ticket is 2 dollars

Step-by-step explanation:

a(n) = a +(n-1)d

d=1/4 -1/2 =-1/4

°.° a(15) = 1/2 +(15–1) -1/4

a(15) = 1/2 -3.5

        =-3

hope it will help

Answer:

Step-by-step explanation:

Number of compounds:

Saving amount at the end of 2 years:

Answer:

$40 = 5a + 8s

Step-by-step explanation:

For this question all we need to know is that $40 is equal to 5 prices of the adult tickets plus the 8 prices of the student tickets. From here we can just give a variable to each price and make an equation, like so

Let "a" be the price of the adult ticket and

Let "s" be the price of the adult ticket, then....

$40 = 5a + 8s

(Just to make sure you understand I will repeat. 5 comes from he fact hat there were 5 adult tickets sold which means that there is 5 adult ticket prices in the $40, and exactly the same reasoning goes for the student tickets, 8 students tickets were sold which means the is 8 prices of the student ticket inside the $40.)

Answer:

The answer is 60

Step-by-step explanation

54

55

56

59

60 The middle number

62

65

66

68

Answer:

60

Step-by-step explanation:

"Median in the middle"

put the set of numbers in order from least to greatest. If you end up having an even amount of numbers in the set, you add the two numbers in the middle then divide by 2 to find the median.

54, 55, 56, 59, 60, 62, 65, 66, 68

55, 56, 59, 60, 62, 65, 66

56, 59, 60, 62, 65

59, 60, 62

60

Given:

The scatter plot and trend line.

To find:

Type of association, slope, equation of trend line and average cost of apple per pound.

Solution:

Form the given graph it is clear that the trend line passes through the two points (0,0) and (12,24).

Slope of trend line is

[tex]m=\dfrac{24-0}{12-0}[/tex]

[tex]m=\dfrac{24}{12}[/tex]

[tex]m=2[/tex]

Slope of trend line is positive. It means, it represents positive correlation.

So, the type of association of the scatter plot is positive association.

Therefore, the slope of trend line is 2.

The trend line passes through (0,0) have slope 2, so the equation of the trend line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-0=2(x-0)[/tex]

[tex]y=2x[/tex]

Therefore, the equation of trend line is [tex]y=2x[/tex].

Slope of the line is 2.

Therefore, the average cost of apples per pound is $2.

Answer:

True because it is true thank U

Answer:

A

Step-by-step explanation:

because r is 1/2 of d so you would have 1 d instead of 2 r

Answer:

a) 40.

Step-by-step explanation:

a triangle is 180 total

Answer:Jada will get same shade as Perfect Purple Water

Step-by-step explanation:

STEP 1

To get the right  recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture

The ideal mixture is given as

8ml  blue water and 3 ml red water.

Step 2

Andre mixes 16ml blue water with 9ml red water

[tex]\frac{8ml}{3ml}[/tex] is not equivalent to [tex]\frac{16ml}{9ml}[/tex]

Because dividing Andre's mixture  by a common value  will  not give  the equivalent ratio of the ideal recipe

[tex]\frac{16ml}{9ml}[/tex]  [tex]\frac{/}{/}[/tex]  [tex]\frac{3}{3}[/tex] =[tex]\frac{5.3ml}{3ml}[/tex]  

Jada mixes 24ml blue water with 9ml red water

[tex]\frac{8ml}{3ml}[/tex] is equivalent to [tex]\frac{24ml}{9ml}[/tex]

Because dividing Jada's mixture  by a common value  gives the equivalent ratio of the ideal recipe

[tex]\frac{24ml}{9ml}[/tex]  [tex]\frac{/}{/}[/tex]  [tex]\frac{3}{3}[/tex] =[tex]\frac{8ml}{3ml}[/tex]  

This shows that Jada got the right recipe and will get  same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for  Perfect Purple Water

Answer:

$224

Step-by-step explanation:

320(0.3) =96

320-96 = 224

Answer:

The answer is $96.

Step-by-step explanation:

Use friendly precnents and do 320/10=32 then you do 20/10 3 times and then you add them together and you get the answer.

===============================================

Work Shown:

[tex]V = \frac{4}{3}\pi*r^3\\\\V = \frac{4}{3}\pi*(2t)^3\\\\\frac{4000\pi}{3} = \frac{4}{3}\pi*(2t)^3\\\\4000\pi = 4\pi*(2t)^3\\\\1000 = (2t)^3\\\\(2t)^3 = 1000\\\\(2t)^3 = 10^3\\\\2t = 10\\\\t = 5\\\\[/tex]

-----------------

Notes:

Answer:

Step-by-step explanation:

1. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.

Area = Length X breadth = 6m X 5.1 m =30.6 metre square

2. Kite: it has two equal pairs of sides adjacent to each other

Area =(BD X CE )/2 = (8 X 12) /2 = 48

3. Parallelogram: This is because it has two opposite sides that are parallel, and the angles are not 90 degrees.

Area = base X height = 5.7 X 8 = 45.6 metres square

4. Rectangle: This is because all the angles are at right angles and the length is more than the breadth.

Area = Length X breadth = 2 yd X 3.1 yd = 6.2 square yards

5. Trapezium: it has only one pair of sides parallel.

Area = 0.5 ( top side + bottom side ) X height = 0.5 (6+3 X 5) = 22.5

6. Kite: it has two equal pairs of sides adjacent to each other

Area =(EG X FH)/2 = (10 X 7) /2 = 35

Answer:

b = 48 yards

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Leg a = x

Leg b = 64

Hypotenuse c = 80

Step 2: Solve for x

Answer:

so this uses proportions.

you need to find the side BF which is proportional to the side BF.

You do:

9/6=x/42

and cross multiply

9*42=6*x

378=6x

divide by 6 on both sides

x=63

the answer is 63

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:

The clothing items in it like pant shirts etc. or if it's just a load of shirts.

Step-by-step explanation:

Answer: C is the domain of the function

Step-by-step explanation:

y=f(x) and x in y=f(x) is domain.

Answer:

You would need to shade in 10 pieces out of 12.

Step-by-step explanation:

10 out of 12 shaded pieces is usually the equivalence 5/6 when it is divided by 2.

Answer:

46, 11/25, 45%

Step-by-step explanation: