A line is perpendicular to y = x + 3
and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = − ²x + [ ]
Hint: Use the Point-Slope Form:y-y₁ = m(x - X1)
Then write the equation in slope-intercept form.
Enter

Answers

Answer 1

Answer:

y =x+3

y =-x²+[?]

Find the gradient;

What is the formula for the gradient of a graph?

Finding the gradient of a straight-line graph

X2 = 2

Y2 = 7

ΔX = 4

ΔY = 3

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

OR

X2 = -6

Y2 = 1

ΔX = -4

ΔY = -3

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333


Related Questions

What is 3 6 equivalent to in fractions?

Answers

Answer:

1/2

Step-by-step explanation:

Find the area of the following color regions

Answers

you want to find the area of the whole square first and then calculate the area of the of the white triangle. (Area= length x width)
area= 18x18
area of whole square= 324
now you want to find the area of the white triangle
you know the base of that triangle is 18 m because the square is the same length on all of the sides.
area of triangle= b x h/2
area of triangle = 18x9/2
area of triangle= 162/2
area of triangle = 81
now subtract the area of the whole square and the area of the triangle
area of blue part= 324-81
area of blue part= 243
and
area of white part (which is the triangle)
=81

Calculate the area of a rectangle with the base of 12 feet and height of 3 feet.

(I need the answer as fast as possible so if anybody could help that would be greatly appreciated)

A: 9 square feet
B: 15 square feet
C: 30 square feet
D: 36 square feet

Answers

Rectangle equation for area is BH, so 12x3 is 36

The circumference of a circle B is 80% of the circumference of circle A.

a) Find the ratio of the area of circle A to the area of circle B, giving your

answer in the form 100:n

100 :

(2)

Square E has sides of length e cm.

Square F has sides of length fcm.

The area of square E is 69% greater than the area of square F.

b) Work out the ratio of e:f

Your final line should say, Ratio of e:f is

(2)

Answers

The area of circle A to the area of circle B ratio is 100: 64, and the ratio of e: f is 13: 10.

The area of the circle is equal to the multiplication of the square of the circle's radius and π.

A = πr²

where 'r' is the radius

Circumference of circle A × 0.8 = circumference of circle B

So, taking r as the radius of A,

2πr =  circumference of circle A

2πr × 0.8 = circumference of circle B

So the radius of B is r × 0.8.

Now we can substitute that in the area equations :

Area of A = π×r²

Area of B = π × (r × 0.8)² = π × r² × 0.64

The circumferences of the A to B ratio is

Circumference of A : Circumference of B = (2 × π × r)/(2 × π × r × 0.8)

= 1: 0.8 = 100: 80,

The areas of circle A to circle B ratio is

Area of A : Area of B = (π × r²)/(π × r² × 0.64) = 1: 0.64 = 100: 64

e² = f² × 1.69

69% larger shows that f² is the 100% to which we must add 69% to obtain e². 100% + 69% Equals 169%, obtaining a factor of 1.69.

We have this equation:

e² = f² × 1.69

Apply the square root on both sides.

e = f × √(1.69) = f × 1.3

e/f = 1.3 = 1.3/1 = 13/10

the ratio e:f = 13: 10

Thus, the ratio of circle A's area to circle B's area is 100: 64 and the ratio of e: f is 13: 10.

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Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these

-2n^4-5n-10

Answers

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

A 5 m 60 cm high vertical pole cat a hadow 3 m 20 cm long. Find at the ame time
(i) the length of the hadow cat by another pole 10 m 50 cm high,

Answers

On solving the provided question we can say that equation formed is x/y = k, x = ky => y₂ = (10.5 × 3.2) / 5.6 => y₂ = 6

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x/y = k, x = ky

where k is a constant.

Thus, x₁ / y₁ = x₂ / y₂

5.6 / 3.2 = 10.5 / y₂

5.6 × y₂ = 10.5 × 3.2

y₂ = (10.5 × 3.2) / 5.6

y₂ = 6

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HELP ASAP PLEASE!!!!!!! NO LINKS!!!!!!!

Answers

Answer:

x=8

Step-by-step explanation:

Add up the angles to 90 because angle GHI and angle IHJ should add up to 90°

3x+66=90

-66=-66

Solve for x.

3x = 24

3 = 3

x =8

Hope this helps.

What is the solution to the system of linear equations 3x minus 2y equals 14 5x plus y equals 32?

Answers

The solution to the system of linear equations is x = 10 and y = 22.

To solve this system of linear equations, we can use the substitution method.

First, we want to isolate one of the variables in either equation. Let's start with equation 1:

3x - 2y = 14

Add 2y to both sides to isolate x:

3x = 14 + 2y

Divide both sides by 3 to solve for x:

x = (14 + 2y) / 3

Now, substitute this expression for x into equation 2:

5x + y = 32

5(14 + 2y) / 3 + y = 32

Simplify:

70 + 10y + y = 32

Combine like terms:

11y = -38

Divide both sides by 11 to solve for y:

y = -38 / 11

y = -3.45454545...

Now, substitute -3.45454545... for y in the expression for x:

x = (14 + 2(-3.45454545...)) / 3

x = (14 - 6.9090909...) / 3

x = 7.09090909... / 3

x = 2.36363636...

x = 2.4 (rounded to nearest tenth)

Now that we have both x and y, the solution to the system of linear equations is x = 2.4 and y = -3.5.

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50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!50 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Both functions are increasing, but function g is increasing faster. B. Both functions are increasing, but function f is increasing faster. C. Function f is increasing, and function g is decreasing. D. Both functions are increasing at the same rate.

Answers

It’s b. I had this before

Answer:

B

Step-by-step explanation:

How do you represent a number line on a class 7?

Answers

Draw a line and locate the origin '0', mark the positive numbers on the right and the negative number on the left of '0' at an equal distance.

A number line is a horizontal straight line in which the integers are placed in equal intervals. All the numbers can be represented in a number line. This line can be extended indefinitely at both ends. 

A number line is a graphical representation of numbers on a straight line. It is used for comparing and ordering numbers. It can be used for representing any real number that includes every whole number and natural number.

Draw a line and locate the point ‘0’. This point is known as the origin. If the given number is positive, draw it on the right side of the origin. If it is a negative number, draw it on the left side of zero. Divide each unit into the values equal to the denominator of the given fraction.

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how does the value of A determine the range for f(x) = a|x|

HELP PLEASE ASAP

Answers

Answer:

It will either invert the graph or stretch/compress the horizontal

Step-by-step explanation:

When a is negative It will invert the graph, and reflect it over the x-axis

By plugging in a=1 you get a normal absolute value function of x ( a V on the graph)

If a>1 then your graph will compress

If a<1 then your graph will stretch

Rene makes $38,000 per year and pays about 35% of

his gross monthly income in federal and state taxes.

He wants to find an apartment to rent. Estimate how

much he can afford to pay for rent each month. Then

determine how much money he will have after taxes

and rent are paid.


PLEASE HELP

Answers

After the taxes and rent, the remaining amount in his gross pay is $5,700

The term gross income is defined as also known as gross pay when it’s on a paycheck is an individual’s total earnings before taxes or other deductions.

Here we have given that Rene makes $38,000 per year and pays about 35% of his gross monthly income in federal and state taxes.

And as we all know that If you live in a metropolitan city, your HRA is equivalent to 50% of your basic salary.

Therefore, the remaining amount in his hand is calculated as,

=> $38000 - [35% of income + 50% of income]

Here the 35% of income is

=> 38000 x 35/100

=> 380 x 35

=> 13300

Similarly, the 50 percent of the income is

=> 38000 x 50/100

=> 380 x 50

=> 19000

Then the remaining amount is calculated by apply the values on it, then we get,

=> $38000 - [$13300 + $19000]

=> $3800 - $32300

=> $5700

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Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)

Answers

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

What is the triangle?

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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Which equation below is using the correct set up to solve for x?​

Answers

Answer:

A is your answer

Step-by-step explanation:

Answer:

8²+16²=x²

Step-by-step explanation:

because h²=base²+perpendicular ²

a taxi charges $2.35 fee plus $0.55 per mile. melissa has no more than $15 to spend on her taxi ride how many miles can she go?

Answers

Answer:

2.35 + 0.55 × 15 = 10.6

Therefore, she can go 10.6 miles.

Answer:

10.6

Step-by-step explanation:

2.35 + 0.55 x 15 = 10.6

A parade route is 3/4 mile long.There will be a Refreshment add the standAlso be eight refreshment stand at the end of the route. How far are the refreshment stands in feet

Answers

Answer: 440 ft

Step-by-step explanation:

Given

A parade route is [tex]\frac{3}{4}[/tex] mile long

There are 8 refreshment stand at the end of the route

Suppose there are two refreshment stand, so the route is divided into 3 parts, similarly for three stands, the route is divided into 4 parts

For 8 stands, the route is divided into 9 parts

Distance between two stands is

[tex]\Rightarrow \dfrac{\frac{3}{4}}{9}\\\\\Rightarrow \dfrac{1}{12}\ \text{miles}[/tex]

We know, [tex]1\ \text{mile}\equiv 5280\ ft[/tex]

convert miles to feet

[tex]\Rightarrow \dfrac{1}{12}\times 5280\\\\\Rightarrow 440\ ft[/tex]

Need help with this lesson is Graphing Polynomials

Answers

Answer:

Step-by-step explanation:

y = [tex]\sqrt{x+4}[/tex] + 5

How many prime numbers are between $30$ and $40$?

Answers

Answer:

2 prime numbers: 31 and 37

Step-by-step explanation:

31 and 37 are the only prime numbers between 30 and 40

Prime numbers are : 31 and 37 (≧∇≦)b

Find the value of xif V√81 = 3.
OA) 4
OB) 2
OC) 8
OD) 27

Answers

The value of exponent x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4, in the given equation.

What is exponent?

Exponent is the process of expressing large numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6×6×6×6. 6⁴ can be used to represent this. In this case, the base is 6 and the exponent is 4. You can interpret this as 6 raised to the power of 4.

Exponents are represented by the symbol. The word "carrot" refers to this symbol (). 4 raised to a power of two, for instance, can be expressed as 4^2 or 4². Thus, 4^2 = 4 × 4 = 16. A few exponent-based numerical expressions are represented in the table below.

The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex]

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

Thus, The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4.

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A 30 foot ladder leans against a house. The angle between the base of the ladder and the ground is 83º. Find the distance from the base of the ladder to the house. (Show work!)

Answers

Answer:

3.656 ft

Round as needed

Step-by-step explanation:

cos∅ = adj/hyp

cos 83 = adj/30

multiply both sides by 30

30 * cos83 = adj

30 * 0.121869343405147 = adj

3.6560803022 = adj

≈ 3.656 ft

The number of views on a viral video can be modeled by the function

G(t) = 2500(5) 2-4. Write an equivalent function of the form G(t) = ab.

Answers

The equivalent expression would be; function G(t) = 86,400•3^t

What is a function in simple definition?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

The number of views on a viral video can be modeled by the function

G(t) = 2500(5) 2-4.

we have to find out an equivalent function of the form G(t) = ab.

Here, we want to make a transformation

From what we have;

G(t) = 2500(5)^(t - 4)

From indices, we know that;

x^(a + b) = x^a•x^b

Thus, we have it that;

G(t) = 2500•3^t•3^2

G(t) = (9 * 9600) * 3^t

G(t) = 86,400•3^t

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it costs $12.50 to enter the amusement park and $1.50 to play each game. Write and solve an inequality to fin the number of games g Cole can play if he has $35 to spend at the park

Answers

Answer:

g=1.50x+12.50 / Cole can play 15 games

Step-by-step explanation:

Once writing the equation place 35 for the variable.( 35=1.50x+12.50) Then you would have to solve for x.(x=15) I hope this is correct

Please help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)

Answers

Answer: 107ft^2

Step-by-step explanation:

Calculate the area of both squares and add together.

Area =

(5x7) + (8x9) = 107ft^2

What is the measure of xº?
A. 10°
B. 16°
C. 34°
D. 70°

Answers

A
Below is the steps I used to get the answer
As they r alternate angles, they equal one another

please help me if you can!!
( links = report )

Answers

Answer: 3150

Step-by-step explanation:

V = lwh

V = 25 x 7 x 18

V = 3150

What is 2/3 + 1/6 + 2/8

Answers

Answer:

2/3 + 1/6 + 2/8

=(2×8+1×4+2×3)/24

=(16+4+6)/24

=26/24

=13/12

*mark me brainliest

Solve the equation for all real solutions in simplest form. 2p? – 3p - 7=0​

Answers

Answer:

p = -7

Step-by-step explanation:

1) added up the like therms

-p -7 = 0

2) multiply by -1

p+7 = 0

3) add at both members -7

p+7-7 = -7

p= -7

Find the value of x.

Answers

Answer:

4

Step-by-step explanation:

Lol I’m bad at math can someone help me with #5?

Answers

Answer:

21/5

Step-by-step explanation:

cross multiply

21=5x

flip

5x= 21

divide both sides

What is the solution of x^2 7x 4?

Answers

The answer to the given question is  x = -2, x = 2. The given problem can be solved by the following steps :

Step 1: Rewrite the equation in standard form: x2 + 7x - 4 = 0

Step 2: Find the factors of the coefficient of x and the constant term: -4 = -2 x -2, 7 = 7

Step 3: Set up the factors to solve the equation: (x + 2)(x - 2) = 0

Step 4: Solve each factor: x + 2 = 0, x - 2 = 0

Step 5: Find the solutions: x = -2, x = 2

Therefore, the final answer is x = -2, x = 2.

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