Which line is parallel to the line 5 x+6 y=30 ?
f. 5 x+9 y=30
g. 9 x+6 y=30
h. 5 x+6 y=9
i. 6 x+5 y=30

Answers

Answer 1

The equation of the line h. 5x + 6y = 9 is parallel with the equation of the line 5x + 6y = 30.

Two lines are parallel with each other if they do not intersect no matter how much you extend both lines. Parallel lines have equal slopes.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points. In an equation in slope-intercept form, y = mx + b, the slope, m is the coefficient of x.

Determine the slope of the given line and each given choices by transforming each into slope-intercept form.

5x + 6y = 30

6y = -5x + 30

y = -5/6 x + 30/6

y = -5/6 x + 5

m = -5/6

f. 5x + 9y = 30

9y = -5x + 30

y = -5/9 x + 30/9

y = -5/9 x + 10/3

m = -5/9

g. 9x + 6y = 30

6y = -9x + 30

y = -9/6 x + 30/6

y = -3/2 x + 5

m = -3/2

h. 5x + 6y = 9

6y = -5x + 9

y = -5/6 x + 9/6

y = -5/6 x + 3/2

m = -5/6

i. 6x + 5y = 30

5y = -6x + 30

y = -6/5 x + 30/5

y = -6/5 x + 6

m = -6/5

Since h. 5x + 6y = 9 has a slope of -5/6 and equal to the slope of the given line, then they are parallel lines.

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Which Line Is Parallel To The Line 5 X+6 Y=30 ? F. 5 X+9 Y=30 G. 9 X+6 Y=30 H. 5 X+6 Y=9 I. 6 X+5 Y=30

Related Questions


Evaluate each expression for the given value of the variable. y²+3 ; y= √7

Answers

The result of the expression [tex]y^{2}+3[/tex]  for the variable y= [tex]\sqrt{7}[/tex] is 10

Given,

The algebraic expression = [tex]y^{2}+3[/tex]

The value of y = [tex]\sqrt{7}[/tex]

Substitute the values in the expression

[tex]y^{2}+3=(\sqrt{7} )^{2}+3[/tex]

=7+3

=10

Hence, the  result of the expression [tex]y^{2}+3[/tex]  for the variable y= [tex]\sqrt{7}[/tex] is 10

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Write an explicit formula for each arithmetic sequence. 62,59,56,53, . . .

Answers

The explicit formula of arthmetic sequence is [tex]a_{n}[/tex] = a + (n-1)d

Here is an explicit formula of the sequences 62, 59, 56, and 53...

  [tex]a_{n}[/tex] = 62 + (n-1)(-3)

In the formula, n is any term number and [tex]a_{n}[/tex] is the nth term.

This formula allows us to simply plug on the number of the term we are interested in, and we will get the value of that term.

In order to find the fifth term, for example, we need to plug n = 6

     [tex]a_{6}[/tex] = 62 + (6-1)(-3) = 62 + 5× -3

      = 62- 15

      = 47

In this way, we can find any term by using the explicit formula of an arithmetic sequence.

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help asp show ur work you’ll get BRAINILEST

Answers

Answer:

x = -14

Step-by-step explanation:

Solve:

7x - 28 = 2(4x - 7)

7x - 28 = 8x - 14

Substrate 8x from both sides.

7x - 28 - 8x = 8x - 14 - 8x

-x - 28 = -14

Add 28 to both sides.

-x - 28 + 28 = -14 + 28

-x = 14

Divide both sides by -1.

-x/-1 = 14/-1

x = -14

Therefore x = -14

What do we mean by decimal writing or writing in base 10?

Answers

Answer:

decimal is the number system of 10base .

Base-10 is how place values are given to numbers. Counting from 0-9 is using the base-10 system because 10 is the base number and in each base, every integer can have a value from 1 - 9. Another simple name for this would be the decimal system. Some people probably are using the base-10 system and don’t even know.

Which fraction is an improper fraction?
• 11/12
• 8/9
•11/11
•9/15

Answers

The answer for this question is 11/11

Answer:

11/11 is an improper fraction.

Step-by-step explanation:

In order for a fraction to be considered "Proper" a < b, when a/b. Meaning that the numetator must be less than the denominator.

In the case for 11/11, it does not follow these qualifications.

Hope this helps!

PLEASEEE HELP!!!!! I’m desperate!

Answers

The angle across from the 109 degree is vertical so they’re congruent.
And angles c and b are across from each other so they’re vertical; subsequently, they’re congruent as well.
The straight lines equal 180 degrees.
180-109=71.
Thus, both b and c are 71 degrees.
When lines intersect they formed angles. angles are the spaces or shapes form between intersecting lines. In this problem they want us to find the angles c and b.

In this problem are two lines which intersect, this intersection creates 4 angles.

Answer: Angles B and C are 71 degrees.

Step by step explanation: Angles b and c are vertical angles, therefore they will be the same amount. One of the angles is given, which is 109. Knowing that a straight angles is 180 degrees, we can subtract 180 from 109 to get the answer.

180-109= 72 degrees.
You can double check by adding 72 to 109, which gives you 180.

Hope this helps!

Sally receives the following scores on her math tests: 78, 92, 83, 99. What score does she need on the next test in order to have an average of 90 on her math tests?

Answers

Answer:

they would need a 98 on the next math test.

I dont understand this at all so here is 100 points

Answers

Answer:

Step-by-step explanation: First row, first column 500 * 7 = 3500

1st row , second column 7 * 60 = 420

1st row, third column 7 * 3 = 21

Do similary for the others

2nd row, 40,000                  4800                  240

3rd row , 100000                  12000                6000

Answer:

[tex]\large\text{ \quad \quad \quad \quad 500 \quad \quad\;\;\;60 \quad \quad \;3}\\\\\large\begin{array}{r|c|c|c|}\cline{2-4} \phantom{\dfrac12}7 & \boxed{3500} &\boxed{420} & \boxed{21}\\\cline{2-4} \phantom{\dfrac12}80 & \boxed{40000} & \boxed{4800} & \boxed{240}\\\cline{2-4} \phantom{\dfrac12}200 & \boxed{100000} & \boxed{12000} & \boxed{600}\\\cline{2-4} \end{array}[/tex]

Step-by-step explanation:

For each box, multiply the number of the row by the number of the column:

[tex]\large\text{ \quad \quad \quad \quad \quad 500 \quad \quad \quad\;\;60 \quad \quad \quad \;\;\;3}\\\\\large\begin{array}{r|c|c|c|}\cline{2-4} \phantom{\dfrac12}7 & \boxed{7 \times 500} &\boxed{7 \times 60} & \boxed{ 7 \times 3}\\\cline{2-4} \phantom{\dfrac12}80 & \boxed{80 \times 500} & \boxed{80 \times 60} & \boxed{80 \times 3}\\\cline{2-4} \phantom{\dfrac12}200 & \boxed{200 \times 500} & \boxed{200 \times 60} & \boxed{200 \times 3}\\\cline{2-4} \end{array}[/tex]

When multiplying numbers ending in zeros (multiples of 10, 100, etc.), first multiply the numbers as if they didn't have zeros, then add all the zeros to the final answer.

For example:

200 × 500 has a total of 4 zeros.

Multiply 2 × 5 = 10

Then add 4 zeros: 10 0000

Therefore, 200 × 500 = 100000

Final Solution

[tex]\large\text{ \quad \quad \quad \quad 500 \quad \quad\;\;\;60 \quad \quad \;3}\\\\\large\begin{array}{r|c|c|c|}\cline{2-4} \phantom{\dfrac12}7 & \boxed{3500} &\boxed{420} & \boxed{21}\\\cline{2-4} \phantom{\dfrac12}80 & \boxed{40000} & \boxed{4800} & \boxed{240}\\\cline{2-4} \phantom{\dfrac12}200 & \boxed{100000} & \boxed{12000} & \boxed{600}\\\cline{2-4} \end{array}[/tex]

Use the substitution method (show your work and good luck!)

x+y=2
x-y=-10

Answers

So x+y = 10 ....(i
x-y= 2....(i)
From (ii) x= y + 2
Substituting in (i), we have
y + 2 + y = 10
= 2y + 2 = 10
= 2y = 8
→V=
4 and x =
6


Find the geometric mean between pair of numbers.

a. 5 and 45

Answers

  For numbers 5 and 45 the value of the geometric mean of these numbers is

Gm (5, 45) = 15

 What is the geometric mean?

   The geometric mean is defined as a type of measure that is calculated as the root of a product between a set of numbers, it can be expressed as follows:

Gm (a,b) = √ab

  Then in our case that we have the values 40 and 15, these are equivalent to the variables a and b

a = 5b = 45

  We substitute and solve for the square root

Gm (5, 45) = √5×45

Gm (5, 45) = √225  ;    In this case the square root is direct-

Gm (5, 45) = 15

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The operator *= is called a(n) _____ operator.
a) increment
b) multiple assignment
c) double compound

Answers

The operator *= is called  multiple assignment operator.

How to determine the name of the operator?

The operator is given as

*=

Take for instance, we have the following statement in Python

a *= b

The meaning of the above statement is

a = a * b

Assume the following values for the variables

a = 6 and b = 3

The value of the operation a *= b would be

a *= b --- given expression

a = a * b --- expanded expression

a = 6 * 3 ---- when the values are substituted

a = 18 --- the result

This implies that the operator represents an assignment and a multiply operator

Hence, the operator *= is called  multiple assignment operator.

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Write an explicit formula for each sequence. 2,5,10,17, . . . .

Answers

The explicit formula for give sequence an = n² + 1:

What is an explicit formula?

An arithmetic sequence has the explicit formula a = a + (n - 1)d, and each term of the series may be calculated without knowing the values of the previous terms. The nth term in an arithmetic, geometric, or harmonic series is usually the explicit formula.

a1 = (1) + 1 = 2

a2 = 2.2 + 1 = 5

a3 = 3.3 + 1 = 10

a4 = 4.4 + 1 = 17

a5 = 5.5 + 1 = 26

and so on.

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Let g be a reflection in the x-axis and a vertical stretch by a factor of 3, followed by a translation 4 units down and 1 unit right of the graph of f(x)=|x|

Answers

g(x) = -3|x-1| - 4

Explanation:
g(x) = -f(x) to reflect it over the x-axis.
-f(x) = -3|x-1|-4, so g(x) = -3|x-1| - 4

PLEASEE HELPP. Im rlly struggling please help if you can. with steps

Answers

Answer:

lol

Step-by-step explanation:

L O LDJDDHDHDHDHFFHFVDVDVDBSSBDBDBDBD

x= 3 ,y= 6 ,z= -1
^Answer^
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (3,6,−1)

A dragonflies wings beat 41 times per second. How many times do they beat in a minute

Answers

2460s

Explanation: 41 x 60


Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
∠4 and ∠5

Answers

The relationship between the ∠4 and ∠5 is that both are consecutive interior angles

Given,

The angles =∠4 and ∠5

Here, ∠4 and ∠5 are interior angles.

Both are lies on the opposite sides of the transversal.

So, ∠4 and ∠5 are consecutive interior angles

Hence, The relationship between the ∠4 and ∠5 is that both are consecutive interior angles

The complete question is :

Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

∠4 and ∠5

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In order to scuba dive safely, divers must be aware that the water
pressure in the ocean is a function of depth. The water pressure increases by
0.445 pounds per square inch (psi) for each foot of depth. The pressure at the
surface is 14.7 psi. Write a function to represent water pressure. What is the
value of the function for an input of 50, and what does it represent?

Answers

The value of the function at an input of 50 will be 36.95.

How to calculate the value?

Since the pressure at the surface is 14.7 psi, a function to represent water pressure will be:

= 14.7 + (0.445 × p)

where p is the increase in pressure for each foot

= 14.7 + 0.445p

Therefore when the input is 50, the amount will be:

= 14.7 + 0.445p

= 14.7 + 0.445(50)

= 14.7 + 22.25

= 36.95

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Kudi and Ladi share 20 oranges in the ratio 2 is to 3 how many oranges has Ladi​

Answers

Answer:

12 oranges

Step-by-step explanation:

The ratio is K/L where K = Kudi's oranges and L = Ludi's oranges

K/L = 2/3

To find the number of oranges that Kudi has, divide the numerator by the sum of numerator and denominator.Then multiply by total number of oranges

For Ladi, divide the denominator by the sum of numerator and denominator. Then multiply by total number of oranges

[tex]K = 20\cdot \dfrac{2}{2+3} = 20 \cdot \dfrac{2}{5} = 8 \; \mathrm {oranges}\\\\L = 20\cdot \dfrac{3}{2+3} = 20 \cdot \dfrac{3}{5} = 12 \; \mathrm {oranges}[/tex]

So answer is Ladi has 12 oranges

我喜欢鸡战利品,我可以亲吻它是的,喜欢它很酷

1. 2ײ + 5× - 11 + 3ײ - 11 × + 2

please solve this thankyou!!!​

Answers

I believe it's 3ײ - 6x - 7.56

Sorry if this isn't helpful!

The other option would be -6x + 3ײ-7.56 (but this is the problem in a simplified form and not when it is evaluated).

FH bisects ZEFG. Find the indicated angle measures.
m/EFG = 119 °. Find m/EFH and m/GFH.
m/EFH =
m/GFH =

Answers

The measures of the indicated angles are

m ∠EFH = 59.5°

m ∠GFH = 59.5°

Calculating angles

From the question, we are to determine measures of the indicated angles

The angles are ∠EFH and ∠GFH

From the given information,

FH bisects ∠EFG

Since FH bisects ∠EFG,

Then,

m ∠EFH  = m ∠GFH

and

m ∠EFH  + m ∠GFH = m ∠EFG

Then,

We can write that

m ∠EFH  + m ∠EFH = m ∠EFG

2 × m ∠EFH = m ∠EFG

2 × m ∠EFH = 119°

m ∠EFH = 119°/2

m ∠EFH = 59.5°

Thus,

m ∠GFH = 59.5°

Hence, the measures of the indicated angles are

m ∠EFH = 59.5°

m ∠GFH = 59.5°

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Look at the Example. The area of Rhode Island is about 43.07 billion square feet. About how many times as many times as great is the area of Colorado than the area of Rhode Island? Show your work.

Answers

According to the given statement

The area of Colorado is 67.43 times greater than the area of Rhode Island

Define Area?

Area is typically thought of as a specific instance of volume for two-dimensional regions. By applying axioms, one can define area as the relationship between a set of real numbers and a collection of particular plane figures.

Area is a mathematical concept that describes the size of a region on a planar or curved surface. The area of an open surface or the border of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

According to the given values;

The area of Rhode Island = 43.07 billion square feet.

The area of Colorado = 2.9045 trillion square feet.

43.07 billion =43,070,000,000

2.945 trillion =2,9045,000,000,00

Now we have to find how many times as great is the area of Colorado than the area of Rhode Island.

For this ,we divide area of Colorado by area of Rhode Island.

=2,9045,000,000,00/43,070,000,000

=67.43

So, the area of Colorado is 67.43 times greater than the area of Rhode Island.

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If f(x) and its inverse function, f superscript negative 1 baseline (x), are both plotted on the same coordinate plane, where is their point of intersection? (0, 6) (1, 4) (2, 2) (3, 0)

Answers

The point of intersection for the function is  (2, 2)

Considering to the line passing through the points (0,6) and (3,0)  to be f(x).Therefore the slope intercept of the function is

m = 0-6/3-0 = -2

So, the functions F(x) in the slope-intercept form f(x)= -2x+6  ......1

interchanging the variable x to y and y to  x

=> x =-2y + 6

=> 2y = -x + 6

=> y= -0.5x + 3

let  f⁻¹(x)= y

f⁻¹(x) =-0.5x+3   ......2

Solving the equation  1 and 2, we get

=> -0.5x + 3 = -2x + 6

=> 2x - 0.5x = 6 - 3

=> 1.5x = 3

=> x = 2

Substituting the values of x in the function  we get,

f( x) = -2(2) + 6 = 2

Thus, the outcome is (2,2)

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-9 - (x + 1) = -2-(3x - 5)

Answers

Answer: The answer is x = 6.5

What two numbers add to (-6) and multiply to (-9)?

Answers

Answer: not possible

Step-by-step explanation:

I think you're doing quadratics and if that's the case probably go and rework the problem because that doesn't work.

It is important to check your credit card bill each month. In the next section, you will carefully examine a credit card statement and learn how to look for errors. Most people would notice a major, expensive purchase that they did not make. A smaller, incorrect charge of $6, for example, might go unnoticed unless the entire statement was checked with a calculator. If one million credit card holders were each overcharged $6 each month for five years, what would be the total amount that debtors were overcharged, not including the extra
finance charges? million

Answers

The total amount that debtors are overcharged is 360 million dollars.

The unitary method is a technique to find the necessary value by multiplying the single unit value by finding the value of single unit value. We will use the same technique to solve this problem

According to question, $6 is charged per month for 5 years period from 1 million credit card holders

so, the total amount will be

1000000 × $6 × 12 × 5 = $360000000

Final answer: amount will be 360 million dollars

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three boys have a total of 24 apples. the littlest boy has 2 times more than the second boy. the second boy has 2 less than the first boy. how much has all the boys

Answers

Each boy has apples respectively 11, 5½,7½

There are total 24 apples.
We have to find that how many Apples each boy have .
Littlest boy have 2 times more than the second boy.
And second boy has 2 less than first boy .
First we have to calculate equation for that .
Littlest boy have 2 times the the second boy.
Let littlest boy have apples = x
So, second boy have apples = x/2
Now, here it is given that,
Second boy has 2 less than first boy .
So, first boy has apples = (x/2)+2
Now sum of all apples = 24.
So, we have to add all equations to find the value of x .
x+x/2+(x/2)+2= 24. [X/2+x/2= x]
x+x+2=24
2x=22
x=11.
So, little boy has 11 apples.
Second boy has apples = x/2
=11/2= 5½
Second boy has 5 and ½ apples .
First boy has apples= (x/2)+2
= x/2)+2 = 5½+2= 7½
So, the first boy has 7 and ½ apples .

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Use the given information to write an equation of a circle.
center at (0,0) , radius 6

Answers

The equation of the circle with radius 6 and center at (0 , 0) is x^2 + y^2 = 36.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (0 , 0)

r = 6

(x - 0)^2 + (y - 0)^2 = 6^2

x^2 + y^2 = 36

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HELP ASAP What should you substitute for y in the second equation (bottom equation) in order to solve the system by the substitution method?

4x+2y=10
3x+5y = 11

y=____​

Answers

Answer:

y = 1

if you need answer of x

x = 2

Step-by-step explanation:

Let's solve your system by substitution.

4x+2y=10;3x+5y=11

Step: Solve4x+2y=10for x:

4x+2y=10

4x+2y+−2y=10+−2y(Add -2y to both sides)

4x=−2y+10

4x/4 = −2y+10/4

(Divide both sides by 4)

x= −1/2y+5/2

Step: Substitute −1/2y+5\2 for x in3x+5y=11:

3x+5y=11

3(−1/2y+5/2)+5y=11

7/2y+15/2=11(Simplify both sides of the equation)

7/2y+15/2+−15/2=11+/−152

(Add (-15)/2 to both sides)

7/2y=7/2

7/2y/7/2 = 7/2/7/2

(Divide both sides by 7/2)

y=1

Step: Substitute1for y in x= −1/2y+5/2:

x=−1/2y+5/2

x=−1/2(1)+5/2

x=2(Simplify both sides of the equation)

Find the surface area of water tower that is 40 feet tall and has a diameter of 30 feet. DO NOT ROUND YOUR ANSWER!

Answers

Answer:  5181

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

Work Shown:

[tex]SA = 2\pi r^2 + 2\pi r h\\\\SA \approx 2*3.14*15^2 + 2*3.14*15*40\\\\SA \approx 5181\\\\[/tex]

The cylinder has a surface area of about 5181 square feet.

Side notes:

The diameter of d = 30 leads to a radius of r = d/2 = 30/2 = 15.The picture is misleading. The conical top is ignored and we only are finding the surface area of the cylinder.

Answer:

Step-by-step explanation:

3768 feet. Is this right?

There are 24 baseball teams in a league each team plays two matches against each of the other teams
work out the total number of matches played
PLSSSSSSSSSSSSSSSSSSSS URGENT

Answers

The total number of matches played will be 46. matches.

How to calculate the value?

From the information, there are 24 baseball teams in a league each team plays two matches against each of the other teams.

The total number of matches that will be played will be:

= (24 - 1) × 2

= 23 × 2

= 46 matches.

Therefore, the total number of matches played will be 46. matches.

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