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Andreas93 [3]
3 years ago
6

Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify

and correct two errors in Alan’s statement.
Mathematics
1 answer:
mart [117]3 years ago
7 0

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

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The width of a rectangle is 4 1/6 feet, and its area is 35 square feet. What is the perimeter of this rectangle?
DanielleElmas [232]

Answer:

perimeter = 25.13feets

Step-by-step explanation:

width = 25/6 feet

Area = 35 square feet

lenght = Area/width = (35*6)/25 = 8.4feets

perimeter of the rectangle = 2(25/6 + 8.4) = 25.13 feets

5 0
2 years ago
Convert 10.3 cm into m
IRISSAK [1]

Answer:

10.3cm=0.103

Step-by-step explanation:

Hope this helped :)

-<em>El</em>

7 0
3 years ago
Read 2 more answers
1.
mr_godi [17]
Plug the points into the equation.
Ex. y=3x-5
(X,y)
1. (5,10): 10=3(5)-5
15-5=10; point 1 is valid
-1=3(-2)-5
-1=-6-5
-1 does not equal -11
Point 2 is not valid
Same process for letter B
8 0
3 years ago
Find all values of x in the interval [0, 2π] that satisfy the equation. <br><br>6sin²(x) = 3
34kurt

Answer:

The solutions are π/4, 3π/4,5π/4,7π/4

Step-by-step explanation:

The given equation is

6sin²(x) = 3

Divide by 6 to get:

{ \sin}^{2} (x) =  \frac{1}{2}

This implies that;

\sin(x) = \pm  \frac{ \sqrt{2} }{2}

If

\sin(x) = \frac{ \sqrt{2} }{2}

x =  \frac{\pi}{4}

in the first quadrant

x =  \frac{3\pi}{4}

in the second quadrant.

If

\sin(x) = -  \frac{ \sqrt{2} }{2}

x =  \frac{5\pi}{4}

in the third quadrant

x =  \frac{7\pi}{4}

5 0
3 years ago
enuity CUBetween which two numbers will you find 5.634 x 102?OA) 0.0562 and 0.0563OB) 0.0563 and 0.0564OC) 562 and 563OD) 563 an
Rudiy27

The number:

5.634\times10^2

is going to be between the numbers 563 and 564; since 10 squared equals 100 and the decimal point will move to places to the right.

Therefore, the answer is D.

8 0
1 year ago
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