Determine the equation of a straight line passing through (-1,3) and parallel to the line whose equation is 3x-5y=10.​

Answers

Answer 1

Answer:

3x - 5y = - 18

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3x - 5y = 10 ( subtract 3x from both sides )

- 5y = - 3x + 10 ( divide through by - 5 )

y = [tex]\frac{3}{5}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{3}{5}[/tex]

• Parallel lines have equal slopes , then

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation of the parallel line

to find c substitute (- 1, 3 ) into the partial equation

3 = - [tex]\frac{3}{5}[/tex] + c ⇒ c = 3 + [tex]\frac{3}{5}[/tex] = [tex]\frac{18}{5}[/tex]

y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{18}{5}[/tex] ← equation of parallel line in slope- intercept form

multiply through by 5 to clear the fractions

5y = 3x + 18 ( subtract 5y from both sides )

0 = 3x - 5y + 18 ( subtract 18 from both sides )

- 18 = 3x - 5y , that is

3x - 5y = - 18 ← in standard form


Related Questions

pls help if you know it


during a high school basketball game the home team scored 51 points and the opponent's score 62 points what is the point differential for (the difference between the number of points scored by a team and its opponent) for the home team?
-11
11
-10
10​

Answers

Answer:

11

Step-by-step explanation:

just do 62-51=11 which gets you the difference between points

PQR is a right angled triangle calculate the size of angle marked x

Answers

Answer:

[tex]\displaystyle x \approx 37.4^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cosx^\circ = \frac{5.8}{7.3}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle cosx^\circ = 0.794521[/tex][Equality Property] Trig inverse:                                                                    [tex]\displaystyle x^\circ = cos^{-1}(0.794521)[/tex]Evaluate trig inverse:                                                                                      [tex]\displaystyle x = 37.39^\circ[/tex]Round:                                                                                                             [tex]\displaystyle x \approx 37.4^\circ[/tex]

MATH PLS HELP
(7h+9)+(4h+4)

Answers

Answer:

11h+13

Step-by-step explanation:

7h+4h=11h

9+4=13

Answer:

11h+13

Step-by-step explanation:

Combine like terms.

Need help with khan.

Answers

Answer:

144

Step-by-step explanation:

10x+24°=6x+72°

10x-6x°=72°-24°

4x=48°

X=48°/4°

X=12°

Then, angle A=10x+24°

A=10×12+24°

A=144°

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- Lesson 5: Solving Any Linear Equation
Plymel
5.2: Trading Moves
Select another equation. Then take turns with each step
to solve the equation.
5x+7=x+13
O 2(x + 7) = -4x+14

Answers

Answer:

photo math is very helpful for math really try it

solve -3 (x + 1) - 2x= -6

A x=1
B x=5
C x = -7
D x = -9

Answers

Answer: C

Step-by-step explanation:

the answer is x= 3/5

...what's
[tex] \sqrt{169} [/tex]

Answers

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

I really need help Please ​

Answers

Answer:

The tree was 5 feet when he bought it and it grew one foot every year.

I believe the equation would be h=t+5

Step-by-step explanation:

The answer would be h=t+5 because the height equals the year plus five.

Find the missing point of the following parallelogram.
A (6, 5)
B (5, 3)
C (2, 4)
D (7, 5)

Answers

i’m pretty sure it’s B

I just took the test and the right answer is 6,5

Simplify the expression 9+(3x+4)

Answers

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]

Answers

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]

[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]

Can you just get KA answers from somewhere Help me? pleases

Answers

Answer:

I went through khan academy and the answer is this.... Also what is your microsoft teams Account?

Step-by-step explanation:

Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos

Answers

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

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

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

[tex]\frac{3 / 3}{6} = \frac{1}{6}[/tex]

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]  o medio pastel cada uno

Which statement is true?

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

Option B

Brainly plz :))

Match each justification to its corresponding step in the following solution. (Table shown above)

Identity Property of addition
Addition Property of equality
Given
Identity property of multiplication

A. 1: c (Given)
2: b (addition property of equality)
3: c (Given)
4: a (identity property of addition)
B. 1: a (identity property of addition)
2: b (addition property of equality)
3: d (identity property of multiplication)
4: c (Given)
C. 1: c (given)
2: a (Identity property of addition)
3: b (Addition property of equality)
4: d (Identity property of multiplication)
D. 1: c (Given)
2: b (Addition property of equality)
3: a (Identity property of addition)
4: d (Identity property of multiplication)​

Answers

Answer:

D

Step-by-step explanation:

Plzz answer fast guys​

Answers

Answer:

(A)

Step-by-step explanation:

ZxZ-8=

Z-7

Note* Z-8=Z in the power of - 8 and Z-7=Z in the power of - 7

Answer:

z⁻⁷

Step-by-step explanation:

Use (zᵃ)ᵇ = zᵃᵇ and zᵃ * zᵇ = z⁽ᵃ⁺ᵇ⁾

In the number 8246315 what digit is in the hundreds place?​

Answers

Answer:

the digit 3 is in the hundredths place

Step-by-step explanation:

8,246,315

the 3

Answer:

3

Step-by-step explanation:

one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball

Answers

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

In the figure below, o ll g. Find the values of x and z. (42 - 16 • 1 84​

Answers

Answer:

x = 96

z = 28

Step-by-step explanation:

Given:

(4z - 16) , 84, o║g

Proof

X = 180 - 84 (Sum of Opposite angles is 180)

x = 96

Let's take ∠(4z - 16) as  ∠A

∠A = ∠X (Vertically opposite angles)

(4z - 16) = 96

4z = 96 + 16

4z = 112

z = 112/4

z = 28

PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R

Answers

Answer:

in what sentence all i see is the letters no image above

find the domain and range of fx= 2-3sinx​

Answers

Answer:

domain expansion

Step-by-step explanation:

jujutsu kaisen brúh

Write an equation in standard form passing through the points (-2,0) and (-3,-1).

Answers

-x + y = 2

slope: (y2-y1)/(x2-x1) = (0- -1)/(-2- -3) = 1/1 = 1

point slope form: (y-y1) = m (x-x1)
y-0 = 1 (x+2)
y = x + 2

standard form:
subtract x from both sides
-x + y = 2

help me....................

Answers

Answer:

help me plssssssssssssss...

Answer:

it's 18+21 so 39

Step-by-step explanation:

anymore help ?

Points (0,1) and (2,7) fall on a particular line. Write the equation of the line in slope-intercept form (y=mx+b)

Answers

Answer:

Slope:

3

y-intercept:

(0, 1)

The product of two consecutive positive integers is 56. Find the two integers

Answers

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

Pls HAAAAAAAALLLLPPPPP plez
I give brainliest to whoever answers correctly w/ explanation.






























































answer the question below
i don’t get it, pls explain

Answers

C) 2x = 100, this is because they are equal
The angle of TQV: 50

Answer:

C. 2x = 100

Step-by-step explanation:

Vertical angles are 2 angles which are vertical and have the same degree. For example, if an angle which is vertical to another is 80°, the other angle is 80° too. The reason why you can't say it's 50 is because they want you to identify the equation of it, so you can't really like shortcut through and you need to make an answer for explanation. Hence 2x = 100 is the best answer.

Please can someone help me I can’t fail this test

Answers

Answer:

x=7 y=4

Step-by-step explanation:

couldnt really see the question but i hope this helps

When subtracting these two algebraic expressions, the second expression would be equivalent to:
(3x + 7) - (2x +4)
2.0 -4
O-2.3 - 4
O-20 + 4
O 2x + 4

Answers

Answer:

[tex](-2x-4)[/tex]

Step-by-step explanation:]

Given data

we are given that the expression is

the first expression is[tex](3x + 7)[/tex]

the second expression is[tex](2x +4)[/tex]

[tex](3x + 7) - (2x +4)[/tex]

When we open bracket the second expression becomes

[tex](-2x-4)[/tex]

Negative 8 times 2/3

Answers

Answer:

[tex]-\frac{16}{3}[/tex]

Step-by-step explanation:

This is simple multiplication. To make this easier to solve, let's modify the fraction so it looks like this:

[tex]-8*2*\frac{1}{3}[/tex]

You could also change it to this:

[tex]\frac{-8}{1}*\frac{2}{3}[/tex]

Do these look simpler? Hopefully they do!

Now, let's multiply the numerators. When multiplying fractions, we multiply numerators and denominators separately. Here, that means we could, taking both paths, do this:

[tex]\frac{1}{3}(-8*2)[/tex]

[tex]=\frac{1}{3} (-16)[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

Or we can do this:

[tex]\frac{-8}{1} *\frac{2}{3}[/tex]

[tex]=\frac{-8*2}{1*3}[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

But what if the denominator of one fraction has a common factor with the other number or the other fraction's numerator? We would find the common factor, and cancel it out to simplify. We could do this before multiplying, during the multiplication, or after multiplying.

In the case of a number times a fraction, it could also be seen as division, as fractions are essentially that: one number divided by another, except we aren't using the decimal.

I hope this helps you understand, so you don't need to ask this again! It's about 8:00 AM where I am as I'm writing this answer, so good morning and have a wonderful day!

The equivalent value of the fraction is A = -16/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the second number be represented as q

Now , A = pq

when the value of p = 2/3

And , when the value of q = -8

On simplifying the equation , we get

A = ( 2/3 ) / ( -8 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/3 ) / ( -8 )

A = ( 2/3 ) / ( -8 )

A = ( -8 x 2 ) / ( 3 )

On simplifying , we get

Multiply by -8 on the fraction , we get

A = ( -8 x 2 ) / 3

A = -16/3

Therefore , the value of A = -16/3

Hence , the fraction is A = -16/3

To learn more about fractions click :

https://brainly.com/question/29766013

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PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!

Answers

g(h(0)) = 20

h(x) = x+4
h(0) = 0+4
h(0) = 4

g(x) = 5x
g(h(0)) = g(4) = 5(4) = 20
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