Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0)

Choose The Point-slope Form Of The Equation Below That Represents The Line That Passes Through The Points

Answers

Answer 1

Answer:

B.  y - 4 = - 1/2(x + 6)

Step-by-step explanation:

Given points on the line:

(−6, 4) and (2, 0)

Find the slope:

m = (0 - 4)/(2 - (-6)) = -4/ 8 = -1/2

Point slope form using the first point:

y - 4 = - 1/2(x - (- 6)) ⇒ y - 4 = - 1/2(x + 6)

Correct choice is B

Answer 2

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is :

[tex]\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) ~

[tex] \mathrm{\dfrac{y_2 - y_1}{x_2 - x_1} }[/tex]

[tex] \dfrac{4 - 0}{ - 6 - 2} [/tex]

[tex] - \dfrac{4}{8} [/tex]

[tex] - \dfrac{ 1 }{2} [/tex]

now, let's use the slope and the points to write the equation of line in point slope form ~

[tex]y - 4 = - \dfrac{ 1}{2} (x - ( - 6))[/tex]

[tex]y - 4 = - \dfrac{1}{2} (x + 6)[/tex]

Related Questions

What is the value of 2.3+8−12?

1.) 10.8

2.) 10.3

3.) 9.8

4.) 9.5

Answers

Answer:

2

Step-by-step explanation:

to answer this algebraic question use BDMAS rule

first solve bracket then division, multiplication,addition then subtraction.

6+8-12

14-12

2

Answer:

9.8

Step-by-step explanation:

convert your decimal into a fraction so 2.3= 23/10

23/10 + 8 - 1/2

then calculate your sum or difference

leaving you with

49/5

meaning your answer is

9.8

A card is drawn at random from a deck of cards. Find the probability of getting the 5 of diamond ​

Answers

The probability is 1 out of 52

1 = m 3 = 20°, then m =

Answers

Answer:

1

Step-by-step explanation:

Answer: 140m

Step-by-step explanation:

Which of the following systems of inequalities has no solution?

Answers

Answer:

c

Step-by-step explanation:

See the attached graph.  There's no overlap between the two individual solution sets.

Are the two lines parallel?
If so, then what is the slope?

Yes, and the slope is 2.
Yes, and the slope is 5/2
res, and the slope is 2/5
No, They are not parallel

Answers

Answer and Step-by-step explanation:

(3rd option) The two lines are parallel, and they have a slope of [tex]\frac{2}{5}[/tex].

First, we can see that the two lines look parallel (meaning that if you were to go beyond what the graph shows (unless the graph shows an intersection), the lines at no point will intersect).

Second, If you found the slope of each line as well, (slope = rise over run, count up and then count right in this scenario from any point), they are the same, meaning they must be parallel to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yesterday?​

Answers

Answer:

That would be 4.0

Step-by-step explanation:

if you have 4.2 take away 0.2 that would be 4.0

4.2

0.2

-__

4.0

Hope this helped regards

$400 at 6.3% for 4 years. Find the simple interest

Answers

Answer:

the amount of interest is $100.80

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.3%/100 = 0.063 per year,

then, solving our equation

I = 400 × 0.063 × 4 = 100.8

I = $ 100.80

The simple interest accumulated

on a principal of $ 400.00

at a rate of 6.3% per year

for 4 years is $ 100.80.

BRAINLIEST PLEASE!

surface of a cuboid

Answers

Answer:

148 cm2

Step-by-step explanation:

5 * 4 * 2 = 40

6 * 5 * 2 = 60

6 * 4 * 2 = 48

40 + 60 + 48 = 148

Answer:

» 148 cm²

Step-by-step explanation:

T.S.A (TOTAL SURFACE AREA) OF CUBOID :

2(lb + bh + lh)

( l = length, b = breadth , h = height )

Given :

Length (l) = 6cm

Breadth (b) or width = 4cm

Height (h) = 5cm

Total Surface area of cuboid :

2( 6×4+ 4×5+ 5×6) cm²

2 ( 24 + 20 + 30 ) cm²

2 ( 74 ) cm²

148 cm²

For brainily please help

Answers

Answer:

3

Step-by-step explanation:

It's the same on both sides

3 because the sides are the same

Larry works for a tree farmer and needs to plant new saplings (young trees). He can plant 27 saplings per hour. He needs to plant 178 total saplings and has already planted 16 saplings.

Which equation and answer shows the number of hours (h) it will take for him to plant the rest of the saplings?

Answers

Answer:

27h+16=178 I believe would work as an equation for this problem

Step-by-step explanation:

The required time to plant the rest of the saplings is 6 hours, and 27 + 16 = 178 is the required expression.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the number of hours be h,
He can plant 27 saplings per hour.
He needs to plant 178 total saplings and has already planted 16 saplings.
So, according to the quesiton,
27h + 16 = 178,
27h = 162
h = 162/27

h = 6

Thus, the required time to plant the rest of the saplings is 6 hours,

Learn more about models here:
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#SPJ2

A package of 5 pairs of insulated gloves costs $33.45. What is the unit price of the pairs of gloves?
The unit price is $
per pair of gloves.

Answers

Answer:

$6.69

Step-by-step explanation:

Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:

33.45 / 5 = 6.69

Therefore, one pair of gloves costs $6.69

Hope this helps :)

The unit price of the pair of glove is $6.69

What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?

Answers

y=-1/4x+9/4 is the answer

 Use trigonometric identities to solve each equation within the given domain

sec(x) cos(3x) = 0 from [- x /2 , x /2]

Answers

Answer:

Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].

Step-by-step explanation:

Angle sum identity for cosine:

[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].

Double-angle identity for cosine and sine:

[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].

[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].

The secant of an angle is the inverse reciprocal of the cosine of that angle:

[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].

Apply these identities to rewrite the left-hand side of the equation.

[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].

Solve the rewritten equation:

[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].

Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].

The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].

If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].

Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],

Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.

dan drove 512miles in 8hours. what was hos average speed for the trip

Answers

Answer:

64 miles per hour

Step-by-step explanation:

512 divided by 8 equals 64

Answer:

jkb jhb n

Step-by-step explanation:

can somebody help me with these 2 questions plz

Answers

Answer:

1) 14/3 (D)

2) -0.6 (C)

Step-by-step explanation:

1) 5-(2/3)*(2/3//4/3)

2)|-1.2-2.03|-2.03/-2

the acute angles of the right isocoles triangle are congruent you rotate the triangle 135 counterclockwise about the origin

Answers

Answer:

45°

4 units

Step-by-step explanation:

Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.

The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.

The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.

Eric has 240 coins in his collection 11/20 are pennies and 4/40 are nickels

Answers

Answer:

There would be 36 coins left

Step-by-step explanation:

I don't know if that was the question but you would do:

11/20x2=22/40

22/40+4/40=26/40

26/40=13/20

One twentieth of 240 is 12

12x3=36

Hope this helped

factor (x-3)²+4(x-3)​

Answers

Answer:

[tex] {(x - 3)}^{2} + 4(x - 3) \\ = (x - 3)((x - 3) + 4) \\ (x - 3)(x - 3+ 4) \\ = (x - 3)(x + 1)[/tex]

(x - 3) is common factor

Imagine you are multiplying or dividing each term by the common factor

[tex] {(x - 3)}^{2} + 4(x - 3) \\ \frac{{(x - 3)}^{2}}{(x - 3)}+(x-3)4\frac{(x - 3)}{(x - 3)}\\(x-3)((x-3)+4)[/tex]

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The ladder makes an angle of 75^{\circ}

with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.

Answers

The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

The ladder forms a right triangle as it lies against the wall as shown in the image below.

Thus:

x = length of the ladder (hypothenuse)

Reference angle [tex](\theta) = 75^{\circ}[/tex]

25 ft = Opposite

Apply SOH:

Thus,

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

Plug in the values

[tex]sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}[/tex]

Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

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Answer:

x=32.09 feet long

Step-by-step explanation:

what is the equation for the line that is parallel to the y-axis and passes through the point (2, -5)?

Answers

Answer:

X = 2

Step-by-step explanation:

5 phần 4 cộng x bằng trừ 1 phần 2

Answers

Answer:

5

-

2..................

-4x + 2x + 3x + 8
Asap

Answers

Answer:

x + 8

Step-by-step explanation:

1. To simplify this expression, we have to combine like terms.

(-4x + 2x + 3x) + (8)(-2x + 3x) + (8)x + 8

Therefore, the answer is x + 8.

Find the slope of the line
(18, 7) (8, 10)

Answers

Answer -.3

So what I did was subtract 10-7 which is 3 then subtract 8-18 which is -10 then divide 3 divide by -10 and you get -.3

Which answer choice shows that the commutative property does NOT hold for matrix multiplication?

Answers

Answer:

D.

Step-by-step explanation:

AB is NOT equal to BA in matrix multiplication.

It is not commutative.

why is -2/4 bigger than -7/12​

Answers

Answer:

-2/4 can be written as -6/12

in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order

so, -6/12 > -7/12

but 6/12 < 7/12

hope you understood

brainliest plz

Answer:

Step-by-step explanation:

To compare both fractions should have same denominator.

LCM of 4 and 12  is 12

[tex]\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}[/tex]

[tex]\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\[/tex]

tickets for the school play cost 6 dollars for the adults and 3.50 for the students

Answers

Answer:

what's the problem i know that "tickets for the school play cost 6 dollars for the adults and 3.50 for the students" but you didn't say how many people are going

Step-by-step explanation:

Round to the nearest tenth

2.642 to the nearest tenth

29.10 to the nearest tenth

2,492 to the nearest tenth

3.44 to the nearest tenth

5,239 to the nearest tenth

89.43 to the nearest tenth

Round to the nearest hundredth

23.987 to the nearest hundredth

3,7096 to the nearest hundredth

4,449 to the nearest hundredth

44.043 to the nearest hundredth

999.474 to the nearest hundredth

7.44430 to the nearest hundredth

Answers

Answer:

1. 2.6

2. 29.1

3. 2490

4 3.4

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST NO RANDOM ANSWERS

Answers

-6y + 4 + 6y -4 + 2
=2

Hello salvadorbea340!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] - (6y - 4) + (6y - 4) - ( - 2)[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]-(6y-4)+(6y-4)-(-2)[/tex]

Firstly, let's open the brackets of the 1st term, i.e. - (6y - 4).

[tex] -( 6y - 4) \\ = \underline{\underline{- 6y + 4}}[/tex]

Now, the 2nd term [ (6y - 4) ].

[tex] + ( 6y - 4) \\ = \underline{\underline{ + 6y - 4}}[/tex]

Now, the 3rd term ⇨ - (- 2)

[tex] -( - 2) \\ = \underline{\underline{ + 2}}[/tex]

Now, let's bring the equation together.

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

Now, let's solve the equation.

Firstly, bring the like terms together.

[tex]- 6y + 4 + 6y - 4 + 2 \\ = - 6y + 6y + 4 - 4 + 2[/tex]

Now cancel out -6y & +6y and 4 & -4 as they make 0.

[tex]- 6y + 6y + 4 - 4 + 2 \\ = \bcancel{- 6y }+ \bcancel{6y} + \bcancel{ \: \: 4 } \: \: - \bcancel{ \: 4 }+ 2 \\ = 0 + 2 \\ = 2[/tex]

And, the only number left is 2. So our answer is 2.

[tex] = \large\boxed{\boxed{ 2}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

y+5=(x+7) in slope-intercept form

Answers

Answer:

(x)/(7)+(y)/(5)=2

Step-by-step explanation:

(x)/(7)+(y)/(5)=2

Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?

Answers

Determine the largest number of 34 cent stamps she can buy

The largest number of 34 cent stamps she can buy is 30

Given:

Total money = $12.25

let

x = 34 cent stamp

y = 3 cent stamp

34 cent stamp = 5 × 3 cent stamp

x + y = 0.49

x = 5y

0.34x + 0.3y = 12.25

0.35(5y) + 0.3y = 12.25

1.75y + 0.3y = 12.25

2.05y = 12.25

y = 12.25/2.05

y = 5.9756097560975

approximately, y = 6

Recall,

x = 5y

x = 5(6)

x = 30

Therefore, the largest number of 34 cent stamps she can buy is 30

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