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2 years ago

What is the equation of the line perpendicular to y = 1/2x + 3 passing through the point ( -3, 4)?

Mathematics

1 answer:

user100 [1]2 years ago

6 0

Answer:

y=-2x-2.

Step-by-step explanation:

m= -2 for perpendicular line

m= y2-y1/x2-x1

-2 = y-4/x+3

y=-2x-2

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Anyone know how to find the area with the missing hypotenuse? Thank you!!!

suter [353]

Answer:

$15 {cm}^{2}$

Step-by-step explanation:

There's no need of hypotenuse for finding area of the triangle. To find the area of a triangle ,

Formula is = $\frac{1}{2} \times base \times height$

Base of the triangle = 10 cm

Height of the traingle = 3 cm

Area of the triangle = $\frac{1}{2} \times 10 \times 3 = 15 {cm}^{2}$

5 0

3 years ago

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m

Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, $A= \frac{1}{2}bh$

When $A=190 cm^2, h=10cm$

$190= \frac{1}{2}*b*10\\b=38cm$

$\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,$

$2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min$

The base is reducing at a rate of 3.4cm per min.

8 0

3 years ago

Plz help .......................

Makovka662 [10]

$\frac{ 6\sqrt{2}}{ \sqrt{3} }$

Multiply the square root of 3 by the square root of 2 and itself.
The 3 cancels itself out and then you get A

6 0

3 years ago

Which description best compares the graphs given by the equations:

nexus9112 [7]

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5
 +5 +5
 x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
-x -x
 -5y = -5
 5 5
 y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
 +25 +25
 -5x = 50
 5 5
x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
+5 +5
 -25y = 30
 25 25
y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

6 0

2 years ago

How much interest would be earned on a $3,200 deposit at 3.5% for 1 year?

Fynjy0 [20]

Answer:

Hey there!

I=PRT

I=3200(0.035)(1)

I=112

The interest is 112 dollars.

Hope this helps :)

5 0

3 years ago

Read 2 more answers