For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x - 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.

For The Given Pair Of Equations, Give The Slopes Of The Lines, And Then Determine Whether The Two Lines

Answers

Answer 1

Answer/Step-by-step explanation:

Given,

10x - 3y = 3

3x + 10y = 30

Rewrite both equation in slope-intercept form, y = mx + b.

Where, m = slope of the line.

Thus,

✔️10x - 3y = 3

-3y = -10x + 3

y = 10/3x - 1

Slope of this line would be 10/3

✔️3x + 10y = 30

10y = -3x + 30

y = -3/10x + 3

The slope of this line is -³/10.

✔️The two lines are pendivukar to each other because the slope of one is the negative reciprocal of the other.


Related Questions

Use the drawing tools to graph this system of inequalities. Remember that isolating y is a helpful first step before graphing each inequality.
x + y > 4
2× - y > 2​

Answers

Answer:

look at picture

Step-by-step explanation:

The graph that represents the inequality is given.

What is inequality?

Inequality is a relationship where two expressions or values are not equal to each other.

For origin test, substitute x=0, y=0 into the first inequality.

0+0>4

Since the obtained inequality is not true, the origin will not be included in the shaded region.

For origin test, substitute x=0, y=0 into the second inequality.

2(0)-0>2

0>2

Since the obtained inequality is not true, the origin will not be included in the shaded region.

In both inequalities, since the equal to "=" sign is not included, the lines will be dotted.

Plot the dotted lines, x+y=4 and 2x-y=2 on the same graph and shade the region not including the origin.

Thus, the graph of the given system of inequalities is given in the image.

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A pair of shoes is on sale for 15% off. With this discount the customer saves 9$ if they buy the shoes. How much did the shoes cost?

Answers

15 = 0.25x
1500 = 25x
60 = x

The original price was $60.
The price will be $60

What is 15÷1/9= __________

Answers

Answer:

THE ANSWER IS 135!!!

Step-by-step explanation:

Pretend 15 is 15/1. Then use cross multiplication to divide the two fractions.

15/1 divided by 1/9 = 15/1 * 9/1 = 15 *9 = 135

Use the Distributive Property to simplify the expression. 7(8 + y)

Answers

Answer:

56+7y

Step-by-step explanation:

7*8 = 56

7*y = 7y

56 + 7y

Answer:

[tex]\huge\boxed{\bold{56+7y}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression using the Distributive Property.

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our math problem:

[tex]\bold{7(8+y)}[/tex]

[tex]\bold{7*8+7*y}[/tex]

[tex]\bold{56+7y}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

Dylan is comparing prices of yarn for a project. The prices and quantities from four stores are shown.
Store 1
Store 2
Store 3
Store 4
2 yards
10 feet
$2.50
12 feet
$3.40
5 yards
$4.00
$1.85
From which store should Dylan make his purchase if he wants to get the best price per unit?
A. Store 1
B. Store 2
C. Store 3
D. Store 4

Answers

Answer:

Store 3

Step-by-step explanation:

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Store 3
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Directions: Find the Surface Area

Answers

Answer:

Surface area = 92 ft²

Step-by-step explanation:

Formula to find the surface area of a rectangular prism is,

Surface area = 2(lb + bh + hl)

Here, l = length of the prism

b = width of the prism

h = height of the prism

By substituting the measures of the sides given in the picture,

Surface area = 2(2×3 + 3×8 + 8×2)

                      = 2(6 + 24 + 16)

                      = 2(46)

                      = 92 square feet

Therefore, surface area of the given rectangular prism is 92 ft².

WILL GIVE BRAINIEST ANSWER! PLS HELP

The slope of the line below is 1. Write the point-slope equation for the line
using the coordinates of the labeled point.
(5,7)

Answers

Answer:

y-7=(x-5)

Step-by-step explanation:

to understand the solving stepsyou need to know aboutlinear equation i.g point-slope PEMDASgiven:m=1(x1,y1)=(5,7)let's solve:

point-slope form is y-y1=m(x-x1)

so the point-slope equation is

y-7=1(x-5)=y-7=(x-5)

what is 2/3 equivalent to?

Answers

Answer:

4/6

Step-by-step explanation:

.66666667 just divide!

Help a girl out due in two mins

Answers

the answer is 36


if you need an explanation let me know but i’m answering quickly because it’s due soon,, have a good day !! :))

Answer:

The answer is 36

Step-by-step explanation:

so the "sum" means to add all of the terms: 1^3+2^3+3^3

1^3 is simply 1

2^3 means 8

3^3 means 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

find the mean of x,+2,3x,-4,3x+2 and 2x​

Answers

Answer:

it is -1

Step-by-step explanation:

2= 410x+14⇒4x+8=10x+14   ⇒6x=−6    ⇒x=−1  

Which expression has the same meaning as m16√?

Answers

Answer:

m8

Step-by-step explanation:

got it right on ttm

Answer:

m^8

Step-by-step explanation:

it waz right for me

Click the parts of the grid to shade 20% of the whole grid.

Am I supposed to shade in the whole grid if not please tell me how much to shade

Answers

Answer:u fill in 4 tiles

It’s a 4x5 square so there is 20 tiles

And 20 divided by 4 equals 5

So if u fill in 4 tiles it’s like filling in 1/5 aka 20%

i need help evaluating

Answers

I’m guessing 27 4? I’m not sure

Question 8 of 10
According to the graph, what is the value of the constant in the equation
below?
25
(3,25)
Constant
Height =
Width
20 +
15
6 (5, 15)
Height
10
(15,5)
5
(25, 3)
ON
10
15
20
25
Width

Answers

Answer:

You need to take a screenshot of it becasue that doesnt make any snese

Step-by-step explanation:

ILL MARK BRAINLIST , pls help

Answers

Answer:

x^2+12x+36=1+36

Step-by-step explanation:

you divide the 12 by 2 which is 6 and then square it (36)

Answer:

x^2+12x+36=1+36

Jenny has $25 and she earns $10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65.

Answers

Answer:

She needs to mow 4 lawns

Step-by-step explanation:

1/5 times 3/5 give answer in simplest form

Answers

1/5 x 3/5 = 3/25

Multiply the numerators and the denominators.
1 x 3 = 3
5 x 5 = 25

3/25 is in its simplest form.

23) Find the area of the semi-circle. 18 in​

Answers

Answer: 127.23 in. ^2

Step-by-step explanation: if the radious is 9 with is half of 18in that area of a whole cicle would be 254.47in. so just divide by 2

Sofia is investing $8,000 in an account paying 5.5% interest compounded quarterly. What will Sofia's account balance be in 7 years?

Answers

Sofia's account balance in 7 years will be $11,726.12

Compound Interest

From the question, we are to determine Sofia's account balance in 7 years

Using the compound interest formula,

[tex]A = P(1+ \frac{r}{n} )^{nt}[/tex]

Where A is the amount

P is the principal

r is the rate

n is the number of times compounded

and t is the time in years

From the given information,

P = $8,000

r = 5.5% = 0.055

n = 4

t = 7

Putting the parameters into the equation, we get

[tex]A = 8000(1+ \frac{0.055}{4} )^{4\times 7}[/tex]

[tex]A = 8000 ( 1+ 0.01375)^{28}[/tex]

[tex]A = 8000 ( 1.01375)^{28}[/tex]

A = $11,726.12

Hence, Sofia's account balance in 7 years will be $11,726.12

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please help 15 points

Answers

x(1)= -3 and x(2)= 3
The expression is not factorable with rational numbers.
x
2
+
x

9

Need help urgently extra points and mark brainlist sorry this is not math it’s reading and is very easy

Answers

Answer:

people who live in a place

Step-by-step explanation:

duh

30 POINTS please help if you can.

Answers

Answer:

m∠G = m∠H = 50

m∠I = 80

Step-by-step explanation:

m∠H = m∠G              {Isosceles triangle property}

5x - 5 = 3x + 17               {Subtract 3x from both sides}

5x - 3x - 5 = 17               {Combine like terms}

    2x - 5  =  17                 {Add 5 to both sides}

         2x  = 17 + 5

         2x = 22

           x = 22/2

x = 11

m∠H = 5x - 5

        = 5*11 - 5

         = 55 - 5

m∠H = 50

m∠G = m∠H = 50

m∠G + m∠H + m∠I = 180   {Angle sum property}

50 + 50 + m∠I = 180

     100 + m∠I   = 180

               m∠I  = 180 - 100

              m∠I = 80

Answer:

m∠G = m∠H = 50

m∠I = 80

Step-by-step explanation:

Z
8
10
y=
51
O
39
O 37


Answers

Answer:

erylium Be Z=4, A=10 ... Oxygen O Z=8, A=16 ... Vanadium Va Z=23, A=51 Rubidium Rb Z=37, A=85.5. Strontium Sr Z=38, A=88. Yttrium Y Z=39, A=89

Step-by-step explanation:

i’m not sure which one is wrong could anyone help ? :(

Answers

the first one is 1/2 bh
so you would do 4.5 * 6 which is 27 try that

1. What is 1.25 into a fraction? 2. What is 2.5 into a fraction?

Answers

Answer:

1.25 in a fraction= 5/4

2.5 in a fraction= 5/2

Step-by-step explanation:

i used a calculator

I really need help
If AD = 12 and AC = 4y-36, find the value of y

Answers

Answer:

y=12

Step-by-step explanation:

in that case, then 12 = 4y -36

12 =4y -36

12+36=4y

48=4y

48/4=y

12=y

answer :y=12

Answer:

y = 15

Step-by-step explanation:

Consider that the attached screenshot is the figure given in the problem. Also consider that DC = 12, due to the fact that AD = 12, and there is a midpoint at point D.

AD + DC = AC

12 + 12 = 4y - 36

24 = 4y - 36

+ 36      + 36

60 = 4y

60/4 = 4y/4

y = 15

1 3/7 ÷ 1/14 need help with this

Answers

it’s 20 :) hope this helps

Answer:

20

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

10/7÷1/14

Applying the fractions formula for division,

=10×14/ 7×1

=140/7

Simplifying 140/7, the answer is

=20

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

A plant farm sells bundles of rose bushes. Each bundle contains 150 rose bushes and has the same ratio of hybrid tea roses, climbing roses, tree roses, and miniature roses. A landscaper purchased i bundle of rose bushes and found the bundle contained 9 climbing roses. He buys a second bundle of rose bushes for a large planting job he needs to complete, bringing his total to 300 rose bushes. How many of the roses being planted will NOT be climbing roses?

A. 282
B. 318
C.18
D. Not here​

Answers

Answer:

since all bundles contain the same amount of each type of rose, and one bundle has 9 climbing roses. two bundles will have 18 climbing roses. the question wants to know how many roses out of the two bundles won't be climbing roses. so you need to do: 300 - 18 = 282

the answer is A

Step-by-step explanation:

i hope this helps :))

Answer: 282

HOPE THIS HELPS

What is the value of X

Answers

Answer:

the answer is 70.

Step-by-step explanation:

Since x and 80 are non-adjacent co-interior angles with respect to ( 2x +10 )

So,

x + 80 = 2x + 10 ( sum of two non-adjacent co-interior angles is equal to the exterior angle of that triangle )

=> 80 - 10 = 2x - x *( switching sides of x and 10 )

=> 70 = x

So, the value of x is 70

x + 80 = 2x + 10 (exterior angle property)

2x -x = 80 -10

x = 70

Is (1, -2) a solution to the following inequality? *
y > x + 3
Yes, it is a solution or
No, it is not a solution.

Answers

Answer:

NO

Step-by-step explanation:

x=1

y=2

2>1+3

2>4

Answer:

No it is not a solution

Step-by-step explanation:

1.)plug in the numbers to the equation y > x+3

After you plug it in solve:

-2 > 1 + 3

-2 > 4

this is false because 4 is greater than -2 so it should look like this -2<4

but because it doesn't, this is false

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