find the equation of the line parallel to H passes through (-4,2)

Find The Equation Of The Line Parallel To H Passes Through (-4,2)

Answers

Answer 1

Answer:

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

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 )

Calculate the slope m of H using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = [tex]\frac{-2+3}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 2 + [tex]\frac{4}{3}[/tex] = [tex]\frac{10}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex] ← equation of parallel line


Related Questions

The development of a city over the past twenty
years cost $962,234,534,288,644. What is the value
of the digit 3 in this number

Answers

Answer:

The 3 in that longest number I have seen in the world is 30 Billion.

Step-by-step explanation:

Million: 6 places before

Billion: 9 places before

Hope this helps!

Which statements are true? Check all that apply

Answers

Read the paragraph, then go back and see which of the points match up and which don’t

Express the following fraction into a decimal
- 5/9

Answers

Answer:

5/9 = 0.5

Step-by-step explanation:

hope it helps leme know if u hab doubts

the area of a square is 36 units what is the perimeter?

Answers

Given :

Area of square = 36 unit²

To Find :

Perimeter of square[tex].[/tex]

SoluTion :

Side of square :

[tex]:\implies\sf\:Area=(side)^2[/tex]

[tex]:\implies\sf\:36=(side)^2[/tex]

[tex]:\implies\sf\:side=\sqrt{36}[/tex]

[tex]:\implies\bf\:side=6\:unit[/tex]

Perimeter of square :

[tex]:\implies\sf\:perimeter=4\times (side)[/tex]

[tex]:\implies\sf\:perimeter=4\times 6[/tex]

[tex]:\implies\underline{\boxed{\bf{\purple{perimeter=24\:unit}}}}[/tex]

Which equation represents a line that is parallel to Y equals negative 4X +3 and passes through the point (-3,2)

The picture is the answers.
Please help

Answers

Answer:

Hey there!

A line parallel to y=-4x+3 would have a slope of -4.

Point slope form: y-2=-4(x+3)

Simplify: y=-4x-10

Let me know if this helps :)

Answer:

A

Step-by-step explanation:

So we want an equation that is parallel to:

[tex]y=-4x+3[/tex]

And passes through:

[tex](-3,2)[/tex]

First, since we want the equation to be parallel to the first, the slope must be -4. This is because parallel lines have the same slope.

Now that we know the slope of our equation is -4, we can use the point-slope form to figure out the rest.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is -4. Let (-3,2) be x₁ and y₁. Thus:

[tex]y-2=-4(x--3)[/tex]

Simplify:

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

Distribute:

[tex]y-2=-4x-12[/tex]

Add 2 to both sides:

[tex]y=-4x-10[/tex]

So our answer is A :)

The sum of only negative numbers.
Is it positive or negative

Answers

Answer: negative

Step-by-step explanation: Whenever you are adding negative

numbers together, you will always get a negative number.

For example, (-1) + (-1) will give you -2.

In the same way, (-5) + (-4) gives you -9.

Answer: negaitive

When you add a negative plus a negative you always get another negative

Write the phrase as an algebraic expression. A number plus six and three tenths. PLEASE HEEELP

Answers

Answer:

n + 6(3/10)

Step-by-step explanation:

6(3/10) is written as a mixed number

Answer:

x+6.3

Step-by-step explanation:

x+6.3

Six less than 4 times a number​

Answers

Answer:

4x-6

Step-by-step explanation:

Six less than four times a number is four times x because times is multiplying and then subtracting six because less means minus (subtraction)

Describe the set of all points of the form (2 y) where y is a real number

Answers

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the given-question, the information is missing. first, we declare the missing information, after that we define its solution:

Missing information:

plotting the Points  (2, 0), (2, 4), (2, 1), and (2, -1).

solution:

please find the attachment.

In the given attachment file, all the points lie within the same line, which indicates its points, and the set may be interpreted throughout the form of (2,y), or even the points may also be placed on the line x=2.

What is the value of the expression below when z = 2? 4z2 – 3z – 4​

Answers

Answer:

6

Step-by-step explanation:

[tex]4z^2 - 3z - 4​\\z =2[/tex]

Substitute 2 for z in the given equation

[tex]4(2)^2 - 3(2) -4\\[/tex]

Follow the PEMDAS order of operations

[tex]\mathrm{Calculate\:exponents}\:\left(2\right)^2\::\quad 4\\=4\cdot \:4-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\times\:4\::\quad 16\\=16-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(2\right)\::\quad 6\\=16-6-4\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:16-6-4\::\quad 6[/tex]

Answer:

Step-by-step explanation:

Plug in z = 2 in the expression

4z² - 3z - 4 = 4*2² - 3*2 -4

                 = 4*4 - 6 - 4

                 = 16 - 6 - 4

                 = 10 - 4

                 = 6

What is the solution to the inequality below?
X^2>=81

Answers

Answer:

A. x ≤ - 9 or x ≥ 9

Step-by-step explanation:

x² ≥ 81

| x | ≥ 9

x ≥ 0 => x ≥ 9 => x ∈ [ 9 ; + oo)

x < 0 => x ≤ - 9 => x ∈ ( -oo ; - 9 ]

x ∈  ( -oo ; - 9 ] ∪ [ 9 ; + oo)

Line, Line Segment, Ray...
A) are two - dimensional
B) have no dimension
C) are three-dimensional
D) are one dimensional

Answers

Answer:

A

Step-by-step explanation:

They are all straight paths with end points but a line is never ending  but it is still two dimensional

Answer:

D - Are One dimensional

Step-by-step explanation:

Line , Line segments and Ray's are all one dimensional objects

Which of the following is the set of all real number x such that x-2 < x-4?

Answers

If you subtract x from both sides, then you go from

x-2 < x-4

to

-2 < -4

which is a false statement. The value -2 is not smaller than -4. It's the other way around. I recommend looking at a number line to compare the two values.

This means that x-2 < x-4 is never true regardless of what x value you pick. So there are no solutions.

A=1/2(a+b)h, solve for h?​

Answers

Multiply both sides 2
2A=(A+B)H
Divide both sides by (A+B)
H=2A/(A+B)

Answer:

[tex]\huge \boxed{h=\frac{2A}{a+b} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle A=\frac{1}{2} \cdot (a+b) \cdot h[/tex]

Multiplying both sides by 2:

[tex]2A=(a+b) \cdot h[/tex]

Dividing both sides by (a + b):

[tex]\displaystyle \frac{2A}{a+b} =h[/tex]

[tex]\rule[225]{225}{2}[/tex]

.9 times what equals 1.5

Answers

Answer:

5/3

Step-by-step explanation:

x*0.9=1.5

x=15/9

x=5/3

Lets solve your question step by step:-

Given,

0.9*x = 1.5

0.9x = 1.5

=}  0.9x/0.9 = 1.5/0.9

x = 1.666667

So,

9 times 1.666667 (x) is 1.5

Hope it helps :)

-9(2+3x) distributive property

Answers

You would multiply -9 by 2 and 3x. So it would be -9•2=-18. Then -9•3x=-27x. Hope this helped!

Answer: -18 - 27x, or -27x - 18

1. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

Expand

[tex]-27x-18[/tex]

2. Solution Steps

[tex]-9(2+3x)[/tex]

Use the distributive property to multiply −9 by 2+3x.

[tex]-18-27x[/tex]

Something that represent today’s culture ( sum that isn’t tech or social media)

Answers

It depends on which culture you're looking at to be honest. But in the current environment, one item that is fairly prevalent is the coronavirus facemask. You could say it symbolically represents the idea of trying to stay safe and it represents a new norm (that many may consider strange since people are used to seeing each other's faces).


Mr Tom shared $300 between his two sons aged 15 years and 10 years in
the ratio of their ages. Calculate the amount of money each boy received.

Answers

Answer:

Son of 15 years $180

Son of 10 years $120

Step-by-step explanation:

15 + 10 = 25

   25          300

   15              x = 300*15/25

                    x = 180

   25          300

   10              x = 300*10/25

                    x = 120

Son of 15 years $180

Son of 10 years $120

X² + 9x + 4 = FACTORISE

Answers

Answer:

[tex]$-\frac{1}{4} (-2x-9+\sqrt{65})(2x+9+\sqrt{65})$[/tex]

Step-by-step explanation:

We have a second-degree polynomial:

I will find the roots (y = 0) completing the square:

[tex]$x^2+9x+\frac{81}{4}-\frac{81}{4}+4=0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +4 =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{81}{4} +\frac{16}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 -\frac{65}{4} =0$[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\frac{65}{4} $[/tex]

[tex]$\left(x+\frac{9}{2} \right)^2 =\pm \sqrt{\frac{65}{4} } $[/tex]

[tex]$x =-\frac{9}{2} \pm \frac{\sqrt{65} }{2} $[/tex]

[tex]$x =\frac{-9 \pm \sqrt{65} }{2} $[/tex]

[tex]$\boxed{x_1 =\frac{-9 + \sqrt{65} }{2}} $[/tex]

[tex]$\boxed{x_2 =\frac{-9 - \sqrt{65} }{2}} $[/tex]

[tex]\sqrt{24n^3}[/tex] (simplify radical) please show work

Answers

Answer:

The answer is

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24 {n}^{3} } [/tex]

First of all factor out the perfect square out.

In this question the perfect squares are 4 and x²

So we have

[tex] \sqrt{4 \times {n}^{2} \times 6n} [/tex]

Separate the radicals

That's

[tex] \sqrt{4} \times \sqrt{ {n}^{2} } \times \sqrt{6n} [/tex]

Simplify

[tex] \sqrt{4} = 2 \\ \sqrt{ {n}^{2} } = n[/tex]

So we have

[tex]2 \times n \times \sqrt{6n} [/tex]

We have the final answer as

[tex]2n \sqrt{6n} [/tex]

Hope this helps

Answer:

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24n {}^{3} } [/tex]

Factor out the perfect square ⬜

[tex] \sqrt{2 {}^{2} } \times 6 {n}^{3} [/tex]

[tex] \sqrt{ {2}^{2} } \times 6n {}^{2} \times n[/tex]

Please the square root is for the entire formula ⬆️⬆️⬆️

the root of the product is equals to the root of each Factor

[tex] \sqrt{2 {}^{2} } \sqrt{n {}^{2} } \sqrt{6n} [/tex]

reduce the index of the radical and exponent with 2

[tex]2 \sqrt{n {}^{2} } \sqrt{6n} [/tex]

[tex]2n \sqrt{6n} [/tex]

Solution

2n square root 6n

[tex]2n \sqrt{6n} [/tex]

Hope this helps.....

please someone help me to prove this. ​

Answers

Step-by-step explanation:

8 cos 80° cos 140° cos 160°

4 (2 cos 80° cos 140°) cos 160°

4 cos 160° (2 cos 80° cos 140°)

Use product to sum formula.

4 cos 160° (cos 60° + cos 220°)

4 cos 160° (½ + cos 220°)

2 cos 160° + 4 cos 220° cos 160°

2 cos 160° + 2 (2 cos 220° cos 160°)

Use product to sum formula again.

2 cos 160° + 2 (cos 60° + cos 380°)

2 cos 160° + 2 (½ + cos 380°)

2 cos 160° + 1 + 2 cos 380°

2 cos 160° + 1 + 2 cos 20°

Use shift identity cos(180 − θ) = -cos θ.

-2 cos 20° + 1 + 2 cos 20°

1

Our question that we have at hand here is 8(cos 80°)(cos 140°)(cos 160°). We need to convert that into 'decimal form' to prove that it equals 1. However decimal form doesn't generally give us a decimal, in this case.

Let's start by using the identity cos(s)cos(t) = cos(s + t) + cos(s - t) / 2. In this case we are looking particularly at the expression (cos 80°)(cos 140°), where s = 80, and t = 140.

[tex]\cos \left(80^{\circ \:}\right)\cos \left(140^{\circ \:}\right)=\frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}[/tex]

[tex]=8\cdot \frac{\cos \left(80^{\circ \:}+140^{\circ \:}\right)+\cos \left(80^{\circ \:}-140^{\circ \:}\right)}{2}\cos \left(160^{\circ \:}\right)[/tex]

[tex]= 4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\cos \left(-60^{\circ \:}\right)\right)[/tex]

To further simplify this expression, we know that cos(- 60°) = cos(60°). This may not seem like a very effective step, but we can apply a few trivial identities here. Remember that cos(60°) = 1 / 2,

[tex]4\cos \left(160^{\circ \:}\right)\left(\cos \left(220^{\circ \:}\right)+\frac{1}{2}\right)[/tex]

[tex]= 4(0.25)\\= 1[/tex]

And hence we proved that 8(cos 80°)(cos 140°)(cos 160°) in decimal form, = 1.

you and 2 decide to each order a pizza for lunch would you rather

Answers

Answer:

My answer to the question is option B

Answer:

hmmmm Option A for me

Step-by-step explanation:

Solve for x.
45+ Go +1) =
2x

Answers

Answer:

x=  [tex]\frac{1}{2}[/tex]go+23

Step-by-step explanation:

I'm confused about what the expression is.

Answers

Answer:

4(x+y)

Step-by-step explanation:

x+y is one side length and there are 4 side lengths.

Use the discriminant to describe the roots of each equation. Then select the best description.
X^2-4x+4=0

Answers

x^2-4x+4=0

now;

x^2-4x=0-4

x^2-4x=-4

x(x-4)=-4

x^2-4x+4

Select the correct answer from the drop-dov
Consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14,, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a random sample drawn from the data set. The sample mean is more than the population mean by

Answers

Answer: The sample mean is more than the population mean by 3.5

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

Explanation:

To get the population mean, first add up all the population values

4+6+7+11+12+18+26+23+14+31+22+12 = 186

Then divide that over 12 as there are 12 values in the population

186/12 = 15.5

The population mean is 15.5

----------

The sample mean is computed the same way

add the values = 11+31+22+12 = 76

Divide the sum by 4 = 76/4 = 19

The sample mean is 19

The sample mean is larger by 19 - 15.5 = 3.5

If a classroom has 7 students with black hair and there are 24 students in the
class, what percentage of the students have black hair? (Round your answer to
the nearest tenth of a percent)

Answers

Answer:

  29.2%

Step-by-step explanation:

The fraction of students with black hair is 7/24. To convert that to a percentage, multiply by 100%.

 7/24×100% = 29.1666(repeating)% ≈ 29.2%

Simplify -2x+7=15, i need help understanding why it is -4

Answers

Answer:

-4

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

−2x+7−7=15−7

−2x=8

Step 2: Divide both sides by -2.

−2x

−2

=

8

−2

x=−4

Factorise a2 -10a-24​

Answers

Answer:

(a+2)(a-12)

Step-by-step explanation:

[tex]a^2-10a-24\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(a^2+2a\right)+\left(-12a-24\right)\\\\\mathrm{Factor\:out\:}a\mathrm{\:from\:}a^2+2a\mathrm{:\quad }a\left(a+2\right)\\\\\mathrm{Factor\:out\:}-12\mathrm{\:from\:}-12a-24\mathrm{\\:\quad }-12\left(a+2\right)\\=a\left(a+2\right)-12\left(a+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}a+2\\=\left(a+2\right)\left(a-12\right)[/tex]

Answer:

(a + 2)(a - 12)

Step-by-step explanation:

a^2 - 10a - 24

using splitting method

a^2 - 12a + 2a - 24

taking separate common from both pairs

a(a - 12) + 2(a - 12)

(a + 2)(a - 12)

The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and 60°, so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from the statement above?

Answers

Answer:

Step-by-step explanation:

Third angle = 180 - (40 + 60)

                   = 180 - 100

                   =  80°

When you subtract the sum of 40 and 60 from 180, you will get the third angle.

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