14
What would be the slope of equation #1 in the following system? (Graphing)
2x+3y=12
4x-3y=15
(Worth 10 points )
A:1/2
B: -1
C:3/4
D:-2/3

Answers

Answer 1

Answer:

[tex]m = -\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]2x+3y=12[/tex]

[tex]4x-3y=15[/tex]

Required

Slope of #1

[tex]2x+3y=12[/tex]

Make y the subject

[tex]3y = -2x + 12[/tex]

Divide through by 3

[tex]y = -\frac{2}{3}x + \frac{12}{3}[/tex]

[tex]y = -\frac{2}{3}x + 4[/tex]

An equation has the form:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

Compare [tex]y = mx + c[/tex] and [tex]y = -\frac{2}{3}x + 4[/tex]

[tex]m = -\frac{2}{3}[/tex]

Hence, the slope is [tex]-\frac{2}{3}[/tex]


Related Questions

evaluuate 9-b when b=8

Answers

Answer:

[tex]\huge\boxed{\sf 1}[/tex]

Step-by-step explanation:

Given the expression:

= 9 - b

Given that b = 8

= 9 - 8

= 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Okay so we are asked to solve 9 - b, and we are told that b=8

Therefore this is just a matter of substitution:

9 - b

Substitute 8 for b:

9 - 8

Now just finish solving:

1

Therefore, the answer is 1

Hope this helped :)

PLEASE HELP ITS DUE IN AN HOUR!!!!!!

Answers

Answer:

3 units to the right of -5

Step-by-step explanation:

Find the missing side of right triangle, where c= 13 in and a= 5 in

Answers

Answer:

b = 12

Step-by-step explanation:

a^2 + b^2 = c^2

25 + b^2 = 169

b^2 = 144

b = 12

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 169-25

b² = 144

b = √144

b = 12

Any help would be appreciated. Thank you

Answers

14-3^2 x (-2)
=14-9 x (-2)
=14- (-18)
=32

Help me answer the question ​

Answers

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Help Me Please.............................(7)

Answers

Answer:

Step-by-step explanation:

The first step contains the error.

2x - 10 =    22            Add 10 to both sides

   + 10     +10

2x = 32                      Divide by 10

2x/2 = 32/2

x = 16

Find the volume of the solid

Answers

Answer:

245 yd3

Step-by-step explanation:

Split the solid into two pieces, multiply length, width, adn height from there.

Answer:

The answer is: 245 yds cubed

Step-by-step explanation:

So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:

Height: 2   Length: 5    Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.

Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5    Length: 9    Width: 5.

So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.

Lastly, we will add the volumes of the two prisms together. 225+20=245.

The final answer is: 245 yds cubed

How can 26n - 7m +4(10n - 6m) be rewritten? A. 36n - 13m B. 40n - 9m C. 66n - 31m D. 35mn​

Answers

Answer:

C. 66n - 31m

Step-by-step explanation:

26n - 7m + 4(10n - 6m)

26n - 7m + 40n - 24m

26n - 31m + 40n

66n - 31m

Solve the system using any method: y = 3x + 4 6x2y=8​

Answers

Answer:

y=24,x=20/3

[tex]y = 3x + 4[/tex]

[tex]8 = 6 \times 2y[/tex]

[tex] 2y = 8 \times 6 [/tex]

[tex]y = 24[/tex]

[tex]24 = 3x + 4[/tex]

[tex] - 3x = 4 - 24[/tex]

[tex] x = \frac{20}{3} [/tex]

Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.

Answers

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

What is the probability that the sum is a common multiple of 2 and 3? Please help me ASAP!

Answers

Answer:

what is the question

Step-by-step explanation:

8. Find F-1 for the function f(x) = (x + 1)3 + 4.


A.f-'(x) =V7-4+1
B. f(x)=x+4+1
C.f(x) = x+4-1
D. g(x)=√x-4-1

Answers

Answer:

Answer is B

Step-by-step explanation:

The two lines graphed on the coordinate grid each represent an equation. (-2, 6) (3,5) (-6, 2) (-6, -6) Which ordered pair represents a solution to both equations?​

Answers

Answer:

(-3,3)

Step-by-step explanation:

because it's where the graphs intersect, meaning the point is contained in both solutions

Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?

Answers

Answer:

2.35

Step-by-step explanation:

2x50=100

3x25=75

4x10=40

4x5=20

100+75+40+20=2.35

1;3;5 are the first three terms of the first differences of a quadratic sequence. the 7 term of the quadratic sequence is 35. determine the 6th and 5th term of the quadratic sequence​

Answers

Answer:

no

Step-by-step explanation:

The 6th and 5th terms of the giving sequence are respectively; 24 and 15

What are the missing terms of an Arithmetic Sequence?

We are given the first 3 terms of the sequence as; 1, 3 and 5.

We are told that the 7th term is 35.

Let xₙ be the nth term number in the quadratic sequence

dₙ is first difference number in the quadratic sequence

From the given sequence, we see that there is a common difference of 2 for the first 3 terms and so they follow an arithmetic sequence which is;

dₙ = 2n - 1

However, when we apply this up to the 7th term, that would not work. Thus, let us use the differences. We see that sum of two consecutive number position of terms is equal to the difference between the two consecutive terms.

Thus;

difference between 3rd and 4th term = 3 + 4 = 7

difference between 5th and 6th term = 4 + 5 = 9

difference between 6th and 7th term = 5 + 6 = 11

Thus, since 7th term is 35, then;

6th term = 35 - 11 = 24

5th term = 24 - 9 = 15

Read more about Arithmetic Sequence at; https://brainly.com/question/6561461

The base of the pyramid is a right triangle



The volume is ____ cubic cm.

Answers

Answer:

37 cubic cm should be the answer sorry if I am wrong

The product of the third and the sixth terms of an arithmetic sequence is 406. The
ninth term of the sequence divided by the fourth term gives a quotient of 2 and a
remainder of 6. Find the first term and the common difference of the arithmetic
sequence​

Answers

Answer:

The product of the third by the sixth term of an arithmetic progression is 406. The division of the ninth term of the progression by the fourth term gives a quotient 2 and a remainder 6. Find the first term and the difference of the progression.

What is the 38th term of 459,450,441,..

Answers

I believe its 126 i hope that hepla

272 sweets are divided between Ram and Rahim in the ratio of 7 : 9. How many sweets do they get?​

Answers

Answer:

let the ratio of ram and hari be 7x and 9x respectively

7x +9x=272

or, 16x=272

or,x=272÷16

or,x=17

ratio of ram=7x=7 × 17=119

ratio pf rahim=9x=9×17=153

3
What is the median number of volunteer service hours? *
(5 Points)
Volunteer Service Hours
.
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
13
20
23
27

Answers

The median number is 20

I am having a baby day so if you write something wrong I’m reporting you

Answers

Answer:

804.25 or based on the choices 803.8

Step-by-step explanation:

Answer:

804.25

Step-by-step explanation:

so the closest thing to that is 803.8

14 club members have birthdays in summer. This is 20% of the birthdays in the club. How many club members are there? How do you do this, for kids?

Answers

Answer:

70 club members in all

Step-by-step explanation:

we know that 14 people is equal to 20%

we also know that to get 20% to 100% you multiply by 5

So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)

hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.

hope this helps <3

Answer:

70 members

Step-by-step explanation:

Whatever the % is, the answer on the right side of the equation must by 14

So 20% of some number = 14.

20/100 x = 14                Remember 20% = 20 / 100. Multiply by 100

20x = 14*100

20x = 1400                   Divide by 20

x = 1400/20

x = 70

There are 70 members in the club.

Kids are done no differently.

The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.

The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?

Answers

Answer:

112 adult and 288 children

Step-by-step explanation:

x= adult seats

y= children seats

15x + 10y = 4560

x + y = 400 --> y=400-x

so plug 400-x for y in the other equation

15x + 10(400-x)= 4560

now solve this equation

15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112

now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288

{(-3,2),(0,4),(2,0)}*{(-2,2),(1,2),(2,-5),(5,0)}

Answers

Answer:

Not sure what your asking but theirs a repeating domain so THIS IS NOT A FUNCTION

Georgia brought a snow cone shaped like the cone below what is the height of the snow cone

Answers

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem.

h² = 5² - 3² = 4²

h = 4 in

PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN

Answers

Answer:

466.2 ft²

Step-by-step explanation:

10x24=240

1/2[tex]\pi[/tex]12²=226.194671

240+226.194671=466.194671

Need help on this question

Answers

Answer:

Step-by-step explanation:

arc between cars = 360°/25 = 14.4°

θ = 14.4° × π/180 ≅ 0.2512 radian

r = 150/2 = 75 ft

s = rθ = 75×0.2512 = 18.84 ft

area of circle = πr² = 75²π ≅ 17,662.5 ft²

area of sector = 17,662.5/25 = 706.5 ft²

Help me please!!!! I’ll give you brainliest!! :)

Answers

Answer:

399

Step-by-step explanation:

28.5 × 3.5 × 4

Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.

Answers

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

[tex]3y = 4x - 6[/tex]

[tex]y = \frac{4x - 6}{3}[/tex]

[tex]y = \frac{4x}{3} - 2[/tex]

The slope [tex]m = \frac{4}{3}[/tex]

y=4/3x−1

The slope is [tex]m = \frac{4}{3}[/tex]

Since they have the same slope, they are parallel.

What expression is equivalent to 4y?

Answers

Answer:

4xy=x or ?

Step-by-step explanation:

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