12. A is the point with coordinates (1,3)
Bis the point with coordinates (-2, -1)
The line L has equation 3y = 4 - 2x
Is line L parallel to AB?
Show your working clearly.

Step-by-step explanation:

[tex] \frac{3}{2} + \frac{x}{3} = \frac{11}{6} [/tex]

[tex] \frac{x}{3} = \frac{11}{6} - \frac{3}{2} [/tex]

[tex] \frac{x}{3} = \frac{11 - 3 \times 3}{6} [/tex]

[tex] \frac{x}{3} = \frac{11 - 9}{6} [/tex]

[tex] \frac{x}{3} = \frac{2}{6} [/tex]

[tex] \frac{x}{3} = \frac{1}{3} [/tex]

[tex]x = \frac{3 \times 1}{3} [/tex]

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

3/ 2 + x/ 3 = 11/ 6

taking LCM

(9 + 2x)/ 6 = 11/ 6

multpiying both sides by 6

9 + 2x = 11

subtracting btih sides by 9

2x = 11 - 9

2x = 2

dividing both by 2

x = 1

Answer: undefined

Step-by-step explanation:

Using the slope formula: (y^2 - y^1)/(x^2 - x^1), we can fill in the points:

(12 - 16)/(-13 - - 13) = -4/0

We can’t have a denominator of zero, so this is undefined.

Answer:

y=x2 -10

Step-by-step explanation:

it is because x is squared

Answer:

D

Step-by-step explanation:

point C is on the y with the value 2 so y=2 and x=z=0

Answer:

[tex]\displaystyle r = 6 \ cm[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3}r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

V = 120π cm³

h = 10 cm

Step 2: Solve for r

Answer:

Radius of cone is 6 cm

Step-by-step explanation:

[tex]\sf\small\underline\purple{Given:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=120π \:cm^3}[/tex]

[tex]\sf{\leadsto \: Height\:_{(cone)}=10 cm}[/tex]

[tex]\sf\small\underline\purple{To\: Find:-}[/tex]

[tex]\sf{\leadsto Radius\:_{(cone)}=?}[/tex]

[tex]\sf\small\underline\purple{Solution:-}[/tex]

To calculate the radius of cone . Simply by applying formula of volume of cone. As given in the question that height is 10 cm and it's volume is 120 π cm³.

[tex]\sf\small\underline\purple{Calculation\: begin:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=\dfrac{1}{3}\pi\:r^2\:h}[/tex]

[tex] \small \sf \leadsto volume \: of \: cone \: = \frac{1}{3} \pi \times r {}^{2} h \\ [/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{1}{3} \times\pi r {}^{2} \times 10cm \\[/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{10 \: \pi\: cm}{3} \: r {}^{2}[/tex]

[tex] \small \sf \leadsto \frac{ 120\pi \: cm {}^{3} \times 3}{10\pi \: cm} \: = r {}^{2} \\ \\ [/tex]

[tex] \small \sf \leadsto \frac{360\pi cm {}^{3} }{10\pi \: cm} = \: r {}^{2} \\ [/tex]

[tex]\small \sf \leadsto 36 \:cm {}^{2} = r {}^{2} [/tex]

[tex]\small \sf \leadsto \sqrt{36 \: cm {}^{2} } = \sqrt{r {}^{2} } [/tex]

[tex]\small \sf \leadsto6cm = r[/tex]

Answer: I cant see the problem

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

Answer:

y = 3/4 x - 9/2

Step-by-step explanation:

Slope = 3/4

y = mx + b

y = 3/4x + b

0 = 3/4 (6) + b

0 = 18/4 + b

-9/2 = b

y = 3/4 x - 9/2

Answer:

l think

y= x^2

.

.

.

.

..

..

.

.

.

.

Answer:

65.5

Step-by-step explanation:

Answer:

1.33333333333 repeating

Step-by-step explanation:

Hope this helps

Answer:

1.3333

Step-by-step explanation:

Answer:

I have no clue

Step-by-step explanation:

1. Search online

2. Never count on me again!

Answer:

C: (12x - 5) ( 2x - 1)

Step-by-step explanation:

12 x ( 2x- 1 ) -5  (2x - 1 )

= (12x - 5 ) ( 2x -1)

Hope it helps !

Answer:

12x-5 2x-1

Step-by-step explanation:

This is the correct answer. Answer C

Answer: it would be D

Step-by-step explanation: because the x intercept is zero and the equation solved is 6  

Answer:

2/15

Step-by-step explanation:

1/5 + 2/3

= 3/15 + 10/15

= 13/15

15/15 - 13/15

= 2/15

Answer:

दवणडतडडथवणतणलतवलडथलडद

Answer:

2,601

Step-by-step explanation:

the sum of AP = 51/2 × (1+101)

= 51/2 × 101 = 2,601

Answer:

x = [tex]\sqrt5[/tex]

Step-by-step explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

[tex](\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5[/tex]

Answer:

x = √5.

Step-by-step explanation:

By Pythagoras:

x^2 = (√11)^2 - (√6)^2

x^2 = 11 - 6 = 5

x = √5.

Formula given: [tex]y=x^{2} -x-6[/tex]

x      -3        -2        -1         0         1          2        3

y       6         0       -4         -6       -4        -4        0

when x = -2

[tex]=(-2)^{2} -(-2)-6[/tex]

[tex]=0[/tex]

when x = -1

[tex]=(-1)^{2} -(-1)-6[/tex]

[tex]=-4[/tex]

when x = 1

[tex]=(1)^{2} -(1)-6[/tex]

[tex]=-6[/tex]

when x = 2

[tex]=(2)^{2} -(2)-6[/tex]

[tex]=-4[/tex]

when x = 3

[tex]=(3)^{2} -(3)-6[/tex]

[tex]=0[/tex]

Answer:

-3          -2          -1          0          1          2          3

6            0          -4         -6         -6       -4          0

Step-by-step explanation:

One is given the following function;

[tex]y=x^2-x-6[/tex]

The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.

[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]

[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]

[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]

[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]

[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]

Answer:

The correct graph answer is A.

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A.

B. C. and D. are incorrect

Answer:

- 10p2

Step-by-step explanation:

p(8p - 18 p)

p x -10p

ans = -10p2

Answer:  -10p²

This is the same as saying -10p^2

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

Explanation:

Both terms 8p² and -18p² are like terms.

We combine them in much the same way as 8-18 = -10, just with a p² attached to everything.

So 8p² - 18p²  = (8-18)p² = -10p²

The coefficient -10 is negative because we're subtracting small minus big. If it was the other way around, then we'd get a positive value.

Answers:

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

Explanation:

Any exponential function is of the form y = a*b^x

Comparing that to y = 475*(0.5)^x, we see that a = 475 and b = 0.5

Set b equal to 1+r and solve for r

1+r = 0.5

r = 0.5-1

r = -0.5

The negative r value tells us that the growth rate is -50%, in other words, we have a 50% decay rate. The amount drops by 50% each time x goes up by 1. This is the same as saying the amount cuts in half each time x goes up by 1.

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

Lastly, plug in x = 3 to find f(3)

f(x) = 475(0.5)^x

f(3) = 475(0.5)^3

f(3) = 59.375

f(3) = 59.4

Answer:

What? Your not even done.

Step-by-step explanation:

Answer:

I think it is y=√x -5

Step-by-step explanation:

if clt 5wont go with √x

Answer:

ok so the standard equation for finding the area of a equation is BH=A

so if the lenth is 1323 and the width is unknown other wise X

we can make an equation

1323X=30

so we divide 30 by 1323 which is

X=0.02267573696 so

The width is about 0.023 cm

Your Welcome

BIFFY OUT!!!

Answer:

x = 4 is the answer

PLease give a brainliest

Answer:

I'm pretty sure that the answer is 55.

Sorry if I'm wrong.

It's is b cause it is and yeah

Answer:

a

Step-by-step explanation:

Answer:    The first one is y≤11 and the second question is x>16 Hope that helps Goodbye!

Step-by-step explanation:  1. Add 22 to both sides.

-13+2

−y≥−13+2

2 Simplify  -13+2−13+2  to  -11−11.

-y\ge -11

−y≥−11

3 Multiply both sides by -1−1.

y\le 11

y≤11

1 Add 22 to both sides.

6+2<\frac{x}{2}

6+2<  

2

x

​

2 Simplify  6+26+2  to  88.

8<\frac{x}{2}

8<  

2

x

​

3 Multiply both sides by 22.

8\times 2<x

8×2<x

4 Simplify  8\times 28×2  to  1616.

16<x

16<x

5 Switch sides.

x>16

x>16

Answer:

2nd option

Step-by-step explanation:

Using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

f(x) = [tex]\frac{3}{2\sqrt[3]{x} }[/tex] = [tex]\frac{3}{2x^{\frac{1}{3} } }[/tex] = [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{1}{3} }[/tex] , then

f'(x) = - [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{4}{3} }[/tex]

      = - [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{x^{\frac{4}{3} } }[/tex]

      = - [tex]\frac{1}{2x^{\frac{4}{3} } }[/tex] = - [tex]\frac{1}{2\sqrt[3]{x^4} }[/tex] [ Note there should be a leading negative ]

Answer:

i wish i could tell you

Step-by-step explanation: