Writing equations in standard form:

Hi I need help with writing equations in standard form using points. The points are (4,5) and (-3,-1) I already found the slope which is 6/7 but I don’t know how to do the point slope form. This is the slope form if you don’t know:
Y-y1=m(x-x1)

Answers

Answer 1
You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11

Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11

You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true

Related Questions

FAST!!!

Use the vertical line test to determine which graph does not represent a function

Answers

Answer:

B is not a function

Step-by-step explanation:

The vertical line would touch the parabola 2 times.

the answer is B because there are two y-values for one x-value

hey please help i’ll give brain

Answers

Answer:

The answer is A. They are just inverses, but are essentially, the same problem. The order does not matter.

Step-by-step explanation:

prove that : Cos 2A =cot^2-1/cot^2+1​

Answers

Answer:

[tex] \cos(2A) = { \cos }^{2} A - { \sin }^{2} A \\ = { \cos }^{2} A - \frac{1}{ \csc {}^{2} A} \\ \\ = \frac{( { \cos}^{2} A. \csc {}^{2}A ) - 1}{ { \csc }^{2} A} \\ \\ = \frac{( \frac{ { \cos}^{2}A }{ { \sin }^{2} A}) - 1 }{ { \csc }^{2} A} \\ \\ = \frac{ { \cot}^{2}A - 1 }{ { \csc}^{2} A} [/tex]

but csc²A = cot²A + 1:

[tex] = \frac{ { \cot}^{2}A - 1 }{ { \cot }^{2}A + 1 } [/tex]

# proved

If the present value of my investment is $1,000 and the rate of interest is 6% compounded annually, what will the value be after 10 years?​

Answers

Answer:

$1790.84

Step-by-step explanation:

The investment will have value of 1000*(1+0.06)^10=1790.84 in 10 years

Remember combine like terms :)

14 - k + 3k - 6 =

Answers

Answer:

8 + 2k

Step-by-step explanation:

14 - k + 3k - 6

= 14 - 6 - k + 3k

= 8 + 2k (Ans)

Answer:

2k+8

Step-by-step explanation:

I did combine like terms hope this was helpful

can someone solve this for me?

Answers

To result in a dilation that is larger than the original figure, your scale factor needs to be greater than 1. Multiplying by a number greater than 1 makes things grow.

The only number greater than one is 4/3.

Which set of numbers are imaginary numbers?

Answers

Answer:

Step-by-step explanation:

Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.

The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

To determine from the options the set of imaginary numbers.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is  √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.

Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

Learn more about the number system here:

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GIVING BRAINLIEST IF CORRECT!! EASY MATH!!!

Answers

Answer:

Reflecting across the x-axis looks like this: -g(x)

A negative on the outside of the function.

So your answer may be

-|x|

It should just be - lxl

Find the value of a in this diagram

Answers

The obtuse angle (unlabelled) is 110 degrees (cointerior angles are supplementary)
Angle a = 250 degrees (angles at a point add to 360’)

if n(A) = 12, n(b) = 9 and n(AuB) = 16 then find the value of n (A-B)​

Answers

Question has a slight error .we should find n(A[tex]\cap[/tex]B)

n(A)=12n(B)=9.$n(A\cup B)=16$

[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=12+9-16[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=5[/tex]

WILL GIVE PUT BRAINLIEST PLEASE HELP

okay so i don’t have a ruler so please help! Part III – Measuring Lines
Using a metric ruler, measure and record the length of the following lines. (This is metric... SO
make sure to use the correct label)

Answers

A metric ruler is a basic ruler
(If u can’t get a basic ruler and ur doing the homework on a personal computer maybe there’s an extension to download a ruler and measure, I’m sorry but I might get the calculations wrong since it’s not in person)

The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. Find the length of a diagonal.

Answers

Answer:

Hi,

Step-by-step explanation:

Using Al's kashi theorem,

diag²=9²+23²-2*9*23*cos(80°)=538,109654....

diag=23,197190... (ft)

Solve for x.



6x + 2 = 14

x = 12
x = 2 2/3
x = 2
x = 1 3/4

Answers

Answer:

x=2

Step-by-step explanation:

6x + 2 = 14

Subtract 2 from each side

6x+2-2 = 14-2

6x= 12

Divide by 6

6x/6 = 12/6

x=2

Answer:  x=2

Step-by-step explanation:

10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?

Answers

Step-by-step explanation:

all you needed to do was a quick search on the internet : "volume of a cone".

and you get immediately :

pi×r²×h/3

the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).

r = radius

h = height

so, for a) we only need to use the calculator :

pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³

for b) we need to do the same thing, but with r = 10 and h = 60.

pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³

so, for c) we only need to subtract the result of a) from the result of b)

the frustum is the volume of the large cone minus the volume of small, top cone.

6283 - 785 = 5498 m³

The solids are similar. Find the volume V of the larger solid.

Answers

Answer:

9604

Step-by-step explanation:

V = (7/3)³ × 756

= 343/27 × 756

= 9604 ft³

Gabriel was at the gym for 3/4 hours. He spent 1/2 of this time shooting baskets. What fraction of an hour did Gabriel spend shoot baskets?

Answers

Answer:

1/2×3/4=3/8h

3/8×8/8=

3/8h

what is -2 1/3 - 1 1/2 =

Answers

Step-by-step explanation:

[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]

[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]

[tex] \frac{ - 42 - 33}{6} [/tex]

[tex] \frac{ - 75}{6} [/tex]

[tex]12.5[/tex]

I hope this will help you...please mark my answer as BRAINLIEST..,....

what is 1/3 + 1/10?

Answers

Answer:

13 + 110 is 1330 is the answer

1/3 + 1/10

= 10/30 + 3/30

= 13/30

Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).

A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)

Answers

Its D.(-7,-1)

Hope it helpss

The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The rule of the translation is given below.

(x, y) → (x − 2, y)

The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be

(x, y) → (x − 2, y)

(−5, −1) → (−5 −2, −1)

(−5, −1) → (−7, −1)

The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.

More about the transformation of a point link is given below.

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helpppppp meeeeeee plssssss!!!!!!!!!!!!!!!1

Answers

Answer:

-12

Ydbzushsbsksjsbsksudjeke

the answer is -12 to your answer

Which is an estimate of _/75
nearest whole number?

Answers

Answer:

9 is closest whole number

Answer:

9

Step-by-step explanation:

Lets look at the squares

7^2 = 49

8^2 = 64

9^2 = 81

It is between 8 and 9

75 - 64 =11

81 - 75 = 6

It is closer to 9 than 8

fraction into the statement 1:50000​

Answers

Answer:

1/50000

please mark as brainliest thanks!

How many quarters are there in 2¼ ?​

Answers

Answer:

9

Step-by-step explanation:

[tex]\frac{2\frac{1}{4}}{4} = 9[/tex]

(2 1/4) / 4 = 9

Hope it helps,... Chow,...!

Identify the rule for the following pattern:
4, 24, 144

Answers

Answer:

It is being multiplied by 6 each time.

Step-by-step explanation:4x6, 24x6

Don't give me the answer just explain where I messed up.

Answers

Answer:

9x^2 -2x+8

Step-by-step explanation:

( 9x^2 -5x) - ( -3x -8)

Distribute the minus sign

( 9x^2 -5x) +3x +8

Combine like terms

9x^2 -2x+8

The x^2 should be positive and you have it as negative

Answer:

Their is not supposed to be a negative sign infront of the 9x

Step-by-step explanation:

Help anyone can help me do the question 4,I will mark brainlest.​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\[/tex]

Answer:

(Work below)

BRAINLIEST, PLEASE!

Step-by-step explanation:

A(1, 2) B(0, -1) C(3, -2)

The distance between A and B is:

3^2 + 1^2 = c^2

9 + 1 = c^2

c = 10^1/2

The distance between B and C is:

1^2 + 3^2 = c^2

1 + 9 = c^2

c = 10^1/2

The distance between C and A is:

4^2 + 2^2 = c^2

16 + 4 = c^2

c= 20^1/2

Since AB and BC are the same, but AC isn't, the triangle is isosceles.

Which equation can be used to solve for x in the following diagram

Answers

Answer:

A

Step-by-step explanation:

As the sum of angles should be 0 for a straight line, 3x+8x-20+90=180, 3x+8x-20=90

Answer:

first

3x + (8x - 20) = 90

.......

Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0
0
1
StartFraction 1 Over 4 c + 5 End Fraction
StartFraction 1 Over 4 c EndFraction + 5

Answers

The multiplicative inverse is 1 / (4c + 5).

In mathematics, the multiplicative inverse of a number is the reciprocal of that number. In other words, if we have a non-zero number "a", then its multiplicative inverse is the number "1/a", which when multiplied by "a" gives the product of 1.

The multiplicative inverse of a number a is the number that when multiplied by a gives the product of 1. In other words, if a is not equal to 0, the multiplicative inverse of a is 1/a.

In this case, we are given that 4c + 5 is not equal to 0. Therefore, the multiplicative inverse of 4c + 5 is:

1 / (4c + 5)

So, the correct answer is 1 / (4c + 5).

To know more about multiplicative inverse follow

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Tutorial

Sophie went to the lake with her family. First, they spent 1
1
4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?

Answers

Answer:

342 hours

Step-by-step explanation:

114 x 2 = 228

228 + 114 = 342

114 hours fishing

228 hours swimming

Hope this helps, please leave any questions in the comments. Thanks

?? anyone know the answer i dont know how to solve for this

Answers

Answer:

C

Step-by-step explanation:

-3 is the y intercept, where the line crosses the y axis

-2.666667 is the slope, rise over run

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