Write the equation of a line parallel to the line whose equation is 3y+5x=6 and whose y-intercept is4

Answers

Answer 1

Answer:

Step-by-step explanation:

Step 1:  rewrite the equation of the given line in to slope-intercept form by solving for y

  3y + 5x = 6    

     3y = -5x + 6               (subtract 5x from both sides)

        y = -(5/3)x + 2           (divide both sides by 3)

Step 2:  Our line is parallel to this line, so it has the same slope, and a

y-intercept of 4, so we have...

  y = -(5/3)x + 4      

*slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept,

 


Related Questions

Round to the given place: 340,413 (hundred thousands)

Answers

Answer:

The answer is 300,000.

Step-by-step explanation:

Hundred thousand would be one hundred (100) and a thousand, which is three zeroes. So we put three zeroes after 100 and we get 100,000. So in this case we're rounding to 300,000.

Answer:

The answer is:   300,000

Step-by-step explanation:

Hundred thousand is the natural number which follows 99,999 and 100,001.

Hence, the number is given by: 100,000.

Hence, when we round any number to the hundred thousand then there  must be 5 zeros in the number.

i.e. the number 340,413  rounding to the nearest hundred thousand is given by:  300000

( Since the first digit i.e. 3 is at the hundred thousand place and all the number that precedes this place is converted to 0 )

points that lie on the function h(x) = 3x 2

Answers

Answer:

To see all the points that lie on the equation

h(x) = 3*x^2

We use a graphing calculator, to plot the function h(x)

Please see attached image for more information.

We can see in red all the points  that lie on the function. There are an infinite number of points in it.

the vertices of a rectangle are R(-5, -5), S(-1,-5), T(-1,1) and U(-5,1). A translation maps R to the point (2,-7). find the translation rule and the image of U.
a. T <-7,-2> (RSTU); (-12,-1)
b. T <7,-2> (RSTU); (2,-1)
c. T <7,2> (RSTU); (2,3)
d. T <-7,2> (RSTU); (-12,3)

Answers

Answer:

b. T <7,-2> (RSTU); (2,-1)

Step-by-step explanation:

The given triangle has vertices R(-5, -5), S(-1,-5), T(-1,1) and U(-5,1).

Let the translation rule be T(a,b).

Then the mapping for the translation will be;

[tex](x,y)\to (x+a,y+b)[/tex]

Then the point R(-5,-5) has the image;

[tex]R(-5,-5)\to R'(-5+a,-5+b)=R'(2,-7)[/tex]

This implies that;

[tex]-5+a=2[/tex]

[tex]\Rightarrowa=2+5=7[/tex]

and

[tex]-5+b=-7[/tex]

[tex]\Rightarrow b=-7+5[/tex]

[tex]\Rightarrow b=-2[/tex]

Therefore the translation rule is T(7,-2)

Hence;

[tex]U(-5,1)\to U'(-5+7,1-2)=U'(2,-1)[/tex]

the correct choice is B.

will give brainliest!!!!​

Answers

Answer:

A = 94°B = 102°C = 86°D = 78°

Step-by-step explanation:

Angles inside a quadrilatril add up to 360°.

Opposite angles in a cyclic quadrailtaril (a quadrilateral with every corner touching the circle) add up to 180°.

A + B+ C + D = 360°

A + C = 180°

B + D = 180°

(x + 6) + B + (x - 2) + (x - 10) = 360

(x + 6) + (x - 2) = 180

Simplify:

(x + x) + (6 - 2) = 2x + 4 = 180

Solve to find x:

2x + 4 = 180

2x = 180 - 4

2x = 176

x = 88°

Substitute it in to check it's right.

(x + 6) + (x - 2) = 180

(88 + 6) + (88 - 2) = 180

94 + 86 = 180

Substitute this into the other equation to find B:

(x + 6) + B + (x - 2) + (x - 10) = 360°

(88 + 6) + B + (88 - 2) + (88 - 10) = 360°

94 + B + 86 + 78 = 360°

Rearrange to find B:

B = 360 - 94 - 86 - 78

B = 102°

A = 94°

B = 102°

C = 86°

D = 78°

Answer:

A = 94°

B = 102°

C = 86°

D = 78°

Step-by-step explanation:

Yuet is in a gymnastics class that has 4 people. The class is 25% full. How many people are in a full gymnastics class?

Answers

16 people, 25% = 1/4 so you would do 4x4.

To find the full class size, since Yuet's class has 4 people (25% of the full), divide 4 by 0.25 to get 16. Therefore, a full class has 16 people.

To find out how many people are in a full gymnastics class, we can use the given information that Yuet's class, with 4 people, is 25% full.

Let's represent the number of people in a full class as ( x ).

We know that the number of people in Yuet's class is 25% of the full class. Mathematically, this can be expressed as:

[tex]\[\frac{4}{x} = 0.25\][/tex]

To solve for ( x ), we can multiply both sides by ( x ):

[tex]\[4 = 0.25x\][/tex]

Then, to isolate ( x ), we divide both sides by 0.25:

[tex]\[x = \frac{4}{0.25}\][/tex]

Now, let's calculate:

[tex]\[x = \frac{4}{0.25} = 16\][/tex]

So, a full gymnastics class would have 16 people.

Shondra wants to find the measure of angle JKL. Her work is started. What is the measure of angle JKL? 1. m

Answers

Answer:

[tex]m<JKL=38\°[/tex]

Step-by-step explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

In this problem

[tex]m<JKL=\frac{1}{2}(arc\ ML-arc\ MN)[/tex]

substitute the values

[tex]m<JKL=\frac{1}{2}(138\°-62\°)[/tex]

[tex]m<JKL=\frac{1}{2}(76\°)[/tex]

[tex]m<JKL=38\°[/tex]

Answer: jkl=38°

Step-by-step explanation:

find the value x
[tex]3x + 16 + 8x + 3 - 10x - 28[/tex]

Answers

Answer: x - 9

Step-by-step explanation: Collect like terms.

(3x + 8x - 10x) + (16 + 3 - 28)

Answer:

[tex]\boxed{\bold{x-9}}[/tex]

Step-by-step explanation:

[ Step One ] Group Like Terms

[tex]\bold{3x+8x-10x+16+3-28}[/tex]

[ Step Two ] Combine Similar Elements: [tex]\bold{3x+8x-10x=x}[/tex]

[tex]\bold{x+16+3-28}[/tex]

[ Step Three ] Add / Subtract: [tex]\bold{16+3-28=-9}[/tex]

[tex]\bold{x-9}[/tex]

➤  [tex]\boxed{\bold{Mordancy}}[/tex]

Plz help me with this !

Answers

Answer:  x³

Step-by-step explanation:

[tex]\sqrt[n]{x^{3n}}=x^{\frac{3n}{n}}=x^3[/tex]

Note: There is no radical expression, only an exponential expression.

I need help please ..

Answers

Answer:

just add all the side which equals 27 feet

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Because the perimiter is just the outside, we are only adding to find the answer.

hope this helps

The Perpendicular to Parallels Theorem proves that _____.

A. alternate interior angles are congruent
B. congruent angles are equal
C. two lines are perpendicular
D. two lines are parallel

Answers

C. two lines are perpendicular

hope this helps :)

Which of the following values are zeros for the function below g(x)=(x2+4x-12)(x-3)

Answers

Answer:

-6, 2 and 3

Step-by-step explanation:

[tex]g(x)=(x^2+4x-12)(x-3)=(x^2+6x-2x-12)(x-3)\\\\=[x(x+6)-2(x+6)](x-3)=(x+6)(x-2)(x-3)\\\\\text{The zeros for}\ g(x)=0:\\\\(x+6)(x-2)(x-3)=0\iff x+6=0\ \vee\ x-2=0\ \vee\ x-3=0\\\\x=-6\ \vee\ x=2\ \vee\ x=3[/tex]

If x and y vary inversely, as y increase as, what happens to the value of x

Answers

inverse proportionality between 2 variables follows this .

y = k/x

where k is proportional constant

as value of one variable increases/decreases , value of other variable decreases/increases

so

if x increases, y will decrease

if x decreases , y will increase

Which measure of central tendency best describes this situation the age of student in an eighth grade

Answers

Answer:

The first choice

Step-by-step explanation:

it is mostly saying you will be testing multiple students or just predicting either way it will be experimental meaning there likely are outliers. however the question is not super clear so this could always be wrong but i hope i helped u

HEP FAST PLZ!!!! THANK YOU!

Chandresh has several fishing rods that she would like to pack in boxes. One box is shown below.

Which fishing rod will fit in the box shown?


A) 17-inch fishing rod B) 24-inch fishing rod C) 27-inch fishing rod D) 32-inch fishing rod

Answers

A is the answer to this question

Answer:

Your answer is A.)

Which best describes the graphs of the line that passes through (0,2) and (6,4) and the line that passes through (2,1) and (5,7)?

Answers

Answer:

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Both are increasing.

Step-by-step explanation:

Compare the lines by finding the slope between each pair of points.

Using the slope formula, substitute the points.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Find the cost of one item to the nearest cent. Round if necessary.
12 lbs. of potatoes for $4.92

Answers

41 cents per pound

12/4.92=0.41

For this case we have to:

12 pounds of potatoes equals $ 4.92. You want to know the unit cost, that is, the cost per pound of potatoes.

For this, we make a rule of three:

12lb -----------------> $ 4.92

1lb --------------------> x

Where the varibale "x" determines the cost per pound of potatoe

[tex]x = \frac {1 * 4.92} {12}\\x = 0.41[/tex]

Thus, each pound of potatoe costs $ 0.41

Answer:

Each pound of potatoe costs $ 0.41

please please help me find the surface area ! ive been struggling doing these kinds /: (BRAINLIEST WILL BE GIVEN OUT! ) <3

Answers

Answer:

For the first one is 340.

Step-by-step explanation:

The SA formula is SA = s^2 + 2 × s × l

so 10^2+2*10*12=340.

Please help ASAP

this table shows how many students from high schools attended a foot ball game.
A student is randomly selected.

what is the probability that a student attended the game, given that the student is from North Beach? Round your answer to two decimal places.

Answers

Answer:

The probability that a student attended the game, given that the student is from North Beach will be: 0.55

Step-by-step explanation:

Given data,

Number of North Beach students who attended the game = n1 = 110

Number of North Beach students who did not attend the game = n2 = 90

Total number of students = n1 + n2

=> 110 + 90

=> 200

The probability that a student attended the game, given that the student is from North Beach will be:

probability of students attended the game of North Beach/ probability of total students attended

=> n1/n

= 110 / 200

= 0.55

Therefore, the probability that a student attended the game, given that the student is from North Beach will be: 0.55

Answer:

0.55

Step-by-step explanation:

The math teacher asked Edith, “How old are you?” “Sixty years less than five times my brother’s age,” she answered. “That doesn’t help me,” replied the teacher. “Yes, it does,” said Edith, “He and I are twins!” How old is Edith?

Answers

Answer:

15 years

Step-by-step explanation:

Let e represent Edith's age.  Then e also represents her brother's age.

Then:

e = 5e - 60.

Consolidating the e terms, we get 60 = 4e.  Thus, e = 15.

Edith is 15 years old.  So is her brother.

Edith is 15 years old and so is her twin brother. Hope this helps!

PLEASE HELP, I’LL GIVE BRAINLIST!!

Answers

For a ratio make a fraction using the quantities of the colors.

You want the ratio of red to purple.

There are 16 red and 2 purple, so the ratio would be 16/2, which can be reduced to 8/1

y=-2x^2+4-6 graphing quadratic​

Answers

Answer:

The graph and solution are given in attached image

Help anyone please help

Answers

Answer:

336

Step-by-step explanation:

Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x

Answers

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

y = 3x

Substitute the two points into the equation y = abx, giving 3 = ab1 and 9 = ab2.

Since a = a, then  

3

b1

=  

9

b2

, rearranged yields 3b2 = 9b1 → 3b2 − 9b = 0 → b(3b − 9) = 0

Thus, b = 0 or b = 3.

A curve of exponential function never drop below the x-axis, ignore any values of b that are less than or equal to zero.

Therefore, insert b = 3 into  

3

b1

= a and  

9

b2

= a → a = 1 for both equations.

y = abx

y = (1)(3x)

y = 3x

Hailey and Kacie are selling candles to raise money. • Hailey is selling candles for $4 each and has already raised $160. • Kacie is selling candles for $7 each and has already raised $70. Which equation can be used to find c, the number of candles each girl needs to sell so that the total amount raised is the same for both Hailey and Kacie?

Answers

Answer:

The number of candles each girl needs to sell so that the total amount raised is the same for both is

Hailey 70 candles

Kacie  40 candles

Step-by-step explanation:

Let

x------> the number of candles sold

y----> total amount raised          

we know that

Hailey's equation

[tex]y=4x+160[/tex] -----> equation A

Please note that Hailey has already raised $160, so he has sold 40 candles.

Kacie's equation

[tex]y=7x+70[/tex] -----> equation B

Please note that Kacie has already raised $70, so he has sold 10 candles.

equate equation A and equation B solve for x

[tex]4x+160=7x+70[/tex]

[tex]7x-4x=160-70[/tex]

[tex]3x=90[/tex]

[tex]x=30\ candles [/tex]

The number of candles each girl needs to sell so that the total amount raised is the same for both is

Hailey

  40+30=70 candles

Kacie

  10+30=40 candles

Answer: C. 4c+160=7c+70

Step-by-step explanation:

If I were you I would also put the answer choices

A lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself. What is the effective price per year of the extended warranty?
a.
$4.82
b.
$3.93
c.
$8.05
d.
$7.03


Please select the best answer from the choices provided

Answers

Answer:

The correct answer option is c.  $8.05.

Step-by-step explanation:

We are given that a lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself.

We are to find its effective price per year of the extended warranty.

So, the amount of six year warranty = [tex] \frac { 17 } { 100 } \times 284 [/tex] = $48.28

Price of warranty per year = [tex] \frac { 48.28 } { 6 } [/tex] = $8.05

Answer:

The answer is C on edge 2020.

Step-by-step explanation:

Can someone tell me what the formula of problem would be? and answer/explain how you got that answer.

Answers

Answer:

Area_shaded  = 2543.742 ft^2

Step-by-step explanation:

First we find the area of the external triangle

A_triangle = base*height*0.5

A_triangle = (92 ft)*(84 ft)*0.5 = 3864 ft^2

Then we find the area of the pool (circle)

A_circle = pi*radius^2

A_circle = 3.1416*(20.5 ft)^2 = 1320.257 ft^2

The area of the shaded region

Area_shaded = A_triangle - A_circle

Area_shaded  = 3864 ft^2 - 1320.257 ft^2 = 2543.742 ft^2

Can you please help me with this

Answers

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the formula for the volume of a rectangular prism is length *width*height. the length=12, width=8 and height equals 13 sooo 12*8*13= 1248

Hope this helps!!

Can I get step by step help on numbers 52,54,60, and 64 please

Answers

Answer:

52: 8-Z

54: 18+X

60: 12.3

64: 2.5

52: 8 subtracted from z, the equation will only be 8-z because we do not know what z is.

54: 18 more than a number, we do not know what the number is so we will name it X, more than is adding, so the equation will look like this, 18+X

60: Since y is 6.7, all you have to do is subtract 19-6.7.

64: Since n is 7.5 just divide 7.5 from 3 and you will get 2.5.

A sphere has a volume of V=324 in^3. Find it's surface area ​

Answers

Final answer:

To find the surface area of the sphere, we can use the formula Surface Area = 4πr². By substituting the given volume value into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Substituting this radius value into the surface area formula, we find that the surface area is 36π square inches.

Explanation:

To find the surface area of a sphere, we can use the formula:

Surface Area = 4πr2

Given that the volume of the sphere is 324 in3, we can use the volume formula to find the radius:

Volume = (4/3)πr3

By substituting the volume value (324) into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Now, we can substitute this radius value into the surface area formula to find the surface area:

Surface Area = 4π(3)2

Calculating this expression, we get a surface area of 36π square inches.

Can someone please help me ?? ​

Answers

C, the higher a negative is, the lower its value gets

It is C because -2.05 is really -2.050 which is less then -2.047

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