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Dennis_Churaev [7]

3 years ago

9

"Point D has the same x-coordinate as the y-coordinate as B same same y-coordinate as the x-coordinate of point A." I need help

on C.

1 answer:

erik [133]3 years ago

4 0

Let's name the x-coordinates and y-coordinates

x-coordinate = abscicca
y-coordinate = ordinate

So, According to question

Abscicca of Point D = Ordinate of Point B
Ordinate of Point D = Abscicca of Point A

Abscicca of Point A = 2

Ordinate of Point B = -4

<h3>Thus, </h3>

Point D = (-4,2)

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Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .

PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

Step-by-step explanation:

Given equation of line is:

$4x - 6y + 7 = 0$

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

$4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}$

The standard form of slope-intercept form of equation is:

$y=mx+b$

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

$m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}$

The equation of perpendicular will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{3}{2}x+b$

To find the value of b, putting (3,4) in the equation

$4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}$

So the equation of line perpendicular to given line passing through (3,4) is:

$y = -\frac{3}{2}x+\frac{17}{2}$

7 0

3 years ago

If f(x) = x^3 find df/dx | x= -5

asambeis [7]

Answer:

75

Step-by-step explanation:

So we have:

$f(x)=x^3$

Take the derivative of the function. Use the power rule, which states that:

$\frac{d}{dx}(x^n)=nx^{n-1}$

Therefore:

$\frac{d}{dx}[f(x)]=\frac{d}{dx}[x^3]$

Use power rule:

$\frac{df}{dx}=3x^2$

Now, substitute in -5:

$3(-5)^2$

Square and multiply:

$=3(25)=75$

So our answer is 75.

This means that the slope of the line tangent to the point (-5,-125) on the graph x^3 is 75.

And we're done!

8 0

3 years ago

Plz I need helpp!!! will give brainiest will give brainiest will give brainiest will give brainiest will give brainiest will giv

Triss [41]

Answer:

A = 549.9 cm²

Step-by-step explanation:

$A=6ah+3\sqrt{3} a^{2}$ Use the equation for surface area of a hexagonal prism

A = 6(5)(14) + 3√3 (5)² Multiply and simplify the exponent

A = 420 + 5.196(25) Multiply

A = 420 + 129.9 Add

A = 549.9 cm²

4 0

3 years ago

a recipe calls for 1/2 a cup of water for every 1/3 cup of milk. How many cups of water are needed per cup of milk

Alex787 [66]

You will need 1 1/2 cups of water per cup of milk.

7 0

4 years ago

Read 2 more answers

Helpppp a girl outtt i will give brainlest

Ivenika [448]

Answer:

Y= 40

Step-by-step explanation:

I know the y equals 40 because I used

$a {}^{2} + b {}^{2} = c {}^{2}$

But for z and x I got stuck, so I hope I helped you a little to move forward with this problem.

YOU CAN DO THIS!!!!!

7 0

3 years ago