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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.

Mathematics
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
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