Please answer #16.
Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. Please answer ASAP! Thank you:)

Hi there!

What we have to do...

Round terms:

to have no decimal points means whole number.

3052.08=3052

Nearest whole number: 3052

Answer:

I LOVE ALGEBRA anyways

the ans is in the picture with the steps on how i got it

(hope that helped can i plz have brainlist it will make my day)

Step-by-step explanation:

Answer: x + 1

I did it in my head so i dont know the steps

Answer:

you would need a graph to graph the equation

Step-by-step explanation:

Answer:

I think this help you to draw

Answer:

The numbers are 2 and 3. 2^2+3^2=4+9=13

Step-by-step explanation:

Answer:

13 is your answer.

let two no. be x and y

by question

x+y=5

x=5-y...........(1)

xy=6.............(2)

putting the value of x in equation 2) we get

(5-y)y=6

5y-y²=6

y²-5y+6=0

y²-3y-2y+6=0

y(y-3)-2(y-3)=0

(y-3)(y-2)=0

either

y=3

or

y=2

putting the value of y in equation 1

when y=3

x=5-3=2

when

y=2

x=5-2=3

now

when

x=3 y=2

the sum of the square of the numbers=x²+y²=3²+2²=9+4=13

Answer:

His car is slowing down.

Step-by-step explanation:

During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.

Answer:

C.  His car is slowing down.

Step-by-step explanation:

The slope is going downwards, so this means that he is going slower.

Answer:

-3 over 1

Step-by-step explanation:

Symbolab.com to help

Answer:

I’m not going to try ponte las pilas

Step-by-step explanation:

Answer:

very specific...sus...yea no one knows

Step-by-step explanation:

In order to determine the mass of one atom of an element, you must determine its molar mass, which is its atomic weight on the periodic table in g/mol, and you need to know the relationship between moles and the number of atoms: 1 mol of atoms = 6.022×1023 atoms . Then divide the molar mass by 6.022×1023 atoms/mol .

y = 7

I have attached the step explanation in the photo

Answer:

answer is y=7

Step-by-step explanation:

3+2y-24=14-3y

first solve 3+2y-24 by collecting like terms together

2y+3-24

2y-21

substitute (2y-21) into 3+2y-24=14-3y

2y-21=14-3y

collect like terms together

2y+3y=14+21

5y=35

5y/5=35/5

y=7

Answer:

y = -4/3 x + 2

Step-by-step explanation:

Let us assume the equation given is 3y + 4x = 6

The standard form in slope-intercept form is y = mx+c

m is the slope

c is the intercept

Make y the subject of the formula

3y + 4x = 6

3y = -4x + 6

Divide through by 3

3y/3 = -4/3 x + 6/3

y = -4/3 x + 2

Hence the equation of the line in slope-intercept form is y = -4/3 x + 2

Answer:

D.6h+18

Step-by-step explanation:

Answer:

side length of the smaller room = 5 m

Side length of the larger room = 8 m

Step-by-step explanation:

Total area of two square room = 89 m²

Area of a square = side²

Let

x = side of the smaller square

x + 3 = side of the longer square

Total area = area of room A + Area of room B

89 = x² + (x + 3)²

89 = x² + x² + 6x + 9

89 - 9 = 2x² + 6x

2x² + 6x = 80

2x² + 6x - 80 = 0

Divide through by 2

x² + 3x - 40 = 0

Solve quadratic equation using factorization method

x² + 8x - 5x - 40 = 0

x(x + 8) -5(x + 8) = 0

(x - 5) (x + 8) = 0

(x - 5) = 0 (x + 8) = 0

x = 5 x = -8

The side length of a square room can not be a negative value

Therefore, side length of the smaller room = 5 m

Side length of the larger room = 5 + 3

= 8 m

Answer: k = -8.66

Step-by-step explanation:

We have the equation:

k*x + 5*y = 10

First, let's rewrite this as a line in the slope-intercept form:

5*y = 10 - k*x

y = 10/5 - (k/5)*x

y = -(k/5)*x + 2

Now, we want to make an angle of 30° with respect to the y-axis.

Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.

To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)

y = -(k/5)*5 + 2

y = -k + 2

then the cathetus of our triangle will be:

adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k

opposite cathetus: x = 5.

Now we know the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

where a = 30°

Then:

Tan(30°) = 5/(-k)

-k = 5/tan(0.577) = 8.66

k = -8.66

This is the value of k that we wanted to find.

Answer:

-10

Step-by-step explanation:

Answer:

6(2a + 3)

Step-by-step explanation:

the GCF is the biggest number that both numbers can be divided by and still get a whole number answer

Answer: f(x)= -3x 2 -5x +8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i did that answer and i got it right

Answer:

35

Step-by-step explanation:

14+21=7(2+3)=7(5)=35

Answer:

14+21= 35

Step-by-step explanation:

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Answer:

Attached

Step-by-step explanation:

Answer:

4x²y² + 20xy² + 25y²

Step-by-step explanation:

(a + b)² =  a² + 2ab + b²

a = 2xy   ; b = 5y

(2xy +5y)² = (2xy)² + 2*(2xy) * (5y)  +(5y)²

                 = 2²x²y² + 2* 2* 5 * x*y*y + 5²*y²

                =4x²y² + 20xy² + 25y²

Answer:

thirty two multiplied by one fourth equals eight

Step-by-step explanation:

Answer:

-35

Step-by-step explanation:

PEMDAS

Answer:

-35

Step-by-step explanation:

PEMDAS

solve for 3+4=7

-5*7=-35

Answer:

[tex]h= 2x[/tex]

Step-by-step explanation:

Given

Square

[tex]Side = x[/tex]

Triangle

[tex]Base = x[/tex]

[tex]Altitude = h[/tex]

Required

Find h, if both shapes have the same area

The area of the square is:

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base*Height[/tex]

[tex]Area = \frac{1}{2} * x*h[/tex]

Equate both areas

[tex]x^2 = \frac{1}{2} * x*h[/tex]

Divide both sides by x

[tex]x = \frac{1}{2} *h[/tex]

Multiply both sides by 2

[tex]2*x = \frac{1}{2} *h*2[/tex]

[tex]2x = h[/tex]

[tex]h= 2x[/tex]

Answer:

1 is the answer to your question mate

Answer:

3x + 21 or 21 + 3x

Step-by-step explanation:

Remark

This is an example of the distributive property. Of all the fundamental rules used in solving equations, this is likely the most important, at least at beginning levels.

Solution

What this is saying is two things.

1. you must multiply both terms on either side of the + sign by the factor outside the brackets.

2. You must not destroy a plus (or minus) sign unless the two terms inside the brackets are exactly the same.

3(7 + x)           The terms are not the same, so your answer must have a plus sign

Left side of the plus: 3*7

Right side of the plus: 3 * x

The answer then is 21 + 3x

It is more commonly written as 3x + 21

Answer: y=2

Step-by-step explanation: 2 is the y intercept and the slope is 0

Answer:

x = 67º

Step-by-step explanation:

the sum of two angles on the same side = 180º so

x + 113º = 180º                       subtract 113º from both sides

x = 67º