The component form of a vector indicates the changes in x and y from the
starting point to the endpoint. What is the component form of this vector?

Let's solve your equation step-by-step.

(3x−2)(x+6)−(x−1)(2x)=103

Step 1: Simplify both sides of the equation.

x2+18x−12=103

Step 2: Subtract 103 from both sides.

x2+18x−12−103=103−103

x2+18x−115=0

Step 3: Factor left side of equation.

(x−5)(x+23)=0

Step 4: Set factors equal to 0.

x−5=0 or x+23=0

x=5 or x=−23

Answer:

x=5 or x=−23

Answer:

6 x 4

8 x 3

The product: 24

Hope This Helps! •v•

Step-by-step explanation:

Answer:

6 x 4

8 x 3

The product: 24 K12 is how i know thx bye! :D

Answer:

it go by 20 then 30

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Each term is 3 times the previous term, that is

30 = 10 × 3 = 30

90 = 30 × 3 = 90

There is a common ratio between consecutive terms meaning the sequence is geometric.

Answer:

4.475 is the answer.

Step-by-step explanation:

also hide your tabs just in case ;)

Answer:

4.475 believe me i did k12 before plz give me brainlyiest explanation:

Answer:

[tex]7.15*10^{-4}[/tex]

Step-by-step explanation:

[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]

It will take twelve (12) plumbers 9 weeks to install the same number of lines

From the question,

We have that, 18 plumbers can install 540 water lines in 6 weeks,

To determine how long it will take 12 plumbers to install the same number of lines,

First, we will determine how long it will take 1 plumber.

If 18 plumbers can install 540 water lines in 6 weeks

Then,

1 plumber will install 540 water lines in 18 × 6 weeks

18 × 6 weeks = 108 weeks

∴ It will take 1 plumber 108 weeks to install 540 water lines

Now, for the number of weeks it will take 12 plumbers

If 1 plumber can install 540 water lines in 108 weeks

Then,

12 plumbers will install 540 water lines in [tex]\frac{108}{12}[/tex] weeks

[tex]\frac{108}{12} = 9 \ weeks[/tex]

Hence, it will take twelve (12) plumbers 9 weeks to install the same number of lines

Learn more here: https://brainly.com/question/18880656

Answer:

703,705

Step-by-step explanation:

divide 1408 by 2

add one for one number

subtract one for the other

Answer:

Write in slope-intercept form, [tex]y=mx+b[/tex].

5. [tex]y=2x+7[/tex]

6. [tex]y=-\frac{5}{3} x+4[/tex]

7. [tex]y=x-1[/tex]

8. [tex]y=\frac{1}{3}x +5[/tex]

9. [tex]y=\frac{4}{5}x -2[/tex]

10. [tex]y=-\frac{7}{3}x + 6[/tex]

Answer:

-12

Step-by-step explanation:

Following are calculation to the given eqution:

Given:

[tex]\bold{(-m^2+6)+(-4m^2+7m+2)}[/tex]

To find:

Solve the equation.

Solution:

[tex]\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\[/tex]

Therefore, the final solution is "[tex]-1(5 m^2-7m-8)[/tex]".

Learn more:

brainly.com/question/12685776

Answer:

6

Step-by-step explanation:

We can use the points on the line to find the slope

(0,-1) and (1,5)

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = (5 - -1)/(1-0)

   = (5+1)/(1-0)

    = 6/1

   = 6

Answer:

m = 6 units

Step-by-step explanation:

To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right

slope = rise /run = 6/ 1 = 6

Answer:

h = 20

Step-by-step explanation:

540π = 1/3 . h . π . 9^2

get rid of π

540 = 1/3 . h . 9^2

multiply by 3 to get rid of 1/3

3 . 540 = h . 9^2

1620 = h . 81

divide by 81

1620/81 = h

20 = h

Hope that helps :)

Answer:

x = 35°

Step-by-step explanation:

Co-interior angles add up to 180°, so:

2x + 43 + 2x - 3 = 180° (now, simplify)

4x + 40 = 180° (subtract 40 from both sides)

4x = 140° (divide both sides by 4)

x = 35°

Hope this helps!

Answer:

x=35

Step-by-step explanation:

given: two lines cut by a transversal to find x

solution: the given two angles are supplementary since they are consecutive interior angles.

(2x+43)+(2x-3)=180°

⇒ 4x+40=180°⇒4x=140°

⇒x=[tex]\frac{140}{4}[/tex]=35

hope this helps :)

Answer:

Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.

Step-by-step explanation:

Answer:

(0, 7) is an ordered pair solution to 3x + y = 7

Step-by-step explanation:

Given the equation 3x + y = 7, find a solution (ordered pair).

There are an infinite number of possible solutions.  Let's focus on just one:

Let x = 0.  Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7

Answer:

x=80, y=55

Step-by-step explanation:

x is on a line so 180-100=80

x= 80

angles of a triangle are 180 so 180-45-80=55

y=55

Answer:

d. 4x+12

Step-by-step explanation:

distribute the 4

4*x =4x

4*3=12

therefore its

4x+12

Answer:

D

Step-by-step explanation:

4(x+3)

(4 times x) + (4 times 3)

4x + 12 = D

Answer:

-8

Step-by-step explanation:

I’ll substitute x for the blank space:

-2 = x + 6

-2 - 6 = x

x = -8

-8 + 6 = -2 ✅

Answer:

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Step-by-step explanation:

It is given that –

Slope of the first line is–

[tex]\sf\longmapsto \: m_{1} = 2[/tex]

Let,

the slope of the Another line be –

[tex]\sf\longmapsto \: m _{2}[/tex]

Now,

The angle between the two lines is 60°.

Let's start solving!

[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]

[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]

[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]

[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]

[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]

The equation of line passing through point (2,3) and having a slope of –

[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]

is–

[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]

[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Hence the equation of the other line is -

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Answer:

See below

Step-by-step explanation:

4k - 3 = 2k + 5                      Given

4k - 3 -2k = 2k + 5 - 2k         Addition (added -2k to both sides )

4k - 2k - 3 = 2k - 2k + 5        Commutative  (changed the order of the terms)

2k - 3 =  0 + 5                         Addition/ Identity

 2k - 3 = 5                               Addition

 2k - 3 + 3 = 5 + 3                 Addition (added 3 to both sides)

  2k + 0 = 8                            Addition

  2k =  8                                 Identity

Answer:

224

Step-by-step explanation:

b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer

Answer:

0.68 repeating as a fraction

0.68 repeating as a fraction

this is the full answer for you're Q

please give me good

The time taken by the object to hit the ground will be 9 seconds.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is

s(t) = −4.9t²+ 9.8t + 308.7

To find the time taken put the function equal to zero.

−4.9t²+ 9.8t + 308.7 = 0

t² - 2t - 63 = 0

t² - 9t + 7t - 63 = 0

t ( t - 9 ) +7 ( t - 9 ) = 0

( t - 9 ) ( t + 7 ) = 0

t = 9 and -7(ignore)

t = 9 seconds

Therefore, the time taken by the object to hit the ground will be 9 seconds.

To know more about a quadratic equation follow

https://brainly.com/question/2264627

#SPJ2

Answer:

a. ratio is 180:240

B. ratio is 240:180

C. ratio is 420:180

d. ratio is 240:420

Hope this helps!!

Answer:

Terms:4x, -2x

Coefficients:4, 2

Constant:3

Answer:

heres my photo + answer

Step-by-step explanation:

0.15

+ 0.36

____