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2 years ago

6

your friend claims that if a line has a slope that is less than 1, then any line perpendicular to it must have a positive slope.

Is your friend correct?

1 answer:

fomenos2 years ago

6 0

Answer:

No.

Step-by-step explanation:

A line with, say, a slope of 1/2 is still positive. a line with negative 1/2 would be perpendicular

You might be interested in

Which two values of x are roots of the polynomial below?<br> 3x2-3x+1

QveST [7]

Answer:

The roots are

$x=\frac{1}{6} [3+ i\sqrt{3}]$

$x=\frac{1}{6} [3- i\sqrt{3}]$

Step-by-step explanation:

we have

$3x^2-3x+1$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2-3x+1=0$

so

$a=3\\b=-3\\c=1$

substitute in the formula

$x=\frac{-(-3)\pm\sqrt{-3^{2}-4(3)(1)}} {2(3)}$

$x=\frac{3\pm\sqrt{-3}} {6}$

Remember that

$i=\sqrt{-1}$

so

$x=\frac{1}{6} [3\pm i\sqrt{3}]$

The roots are

$x=\frac{1}{6} [3+ i\sqrt{3}]$

$x=\frac{1}{6} [3- i\sqrt{3}]$

6 0

2 years ago

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4

IgorC [24]

Answer:

1 : 2 :3

Step-by-step explanation:

1/4 apple juice

2/5 orange juice

1/4 - 2/5

20 - 40 /20 = 20/20

= 1

answer = 1 :2 : 3

4 0

2 years ago

The sum of 27 and -28 divided by 2.

hammer [34]

Hey there!

The word sum usually means addition in mathematics!

27 + (-28) / 2

= 27 - 28 / 2

= -1 / 2

= -0.5

Answer: -1/2 OR -0.5 (either those should work because they are both equivalent)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

6 0

2 years ago

Read 2 more answers

John and Tyrone each go for a morning jog before work. John's jogging pace

hram777 [196]

Answer:

Tyrone's rate is 1 more mile per hour than John's

Step-by-step explanation:

Given

$y = 5x$ --- John number of jog

See attachment of Tyrone's number of jog

Required

Select the true option

From the attached graph, we have:

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,12)$

Calculate the slope (m); i.e. unit rate

$m = \frac{y_2 - y_1}{x_2 -x_1}$

$m = \frac{12 - 0}{2 -0}$

$m = \frac{12}{2}$

$m = 6$

For John, we have:

$y = 5x$

A linear equation is represented as:

$y = mx+ c$

Where m represents the unit rate. So, by comparison;

$m = 5$

$m = 5$ --- John unit rate

$m = 6$ --- Tyrone unit rate

<em>Option B is correct because Tyrone's rate is 1 more mile per hour than John's</em>

<em>i.e. 6 - 5 = 1</em>

5 0

2 years ago

What is the value of ( h o k ) (2)<br><br>a -5<br><br>b 1<br><br>c -2<br><br>d -3

Bond [772]

Answer:

-3

Step-by-step explanation:

h(k(2)) = h(k(x=2)) = h(-2) = h(x= -2)= 3/( -2+1) = 3/-1= -3

sorry if I'm wrong.

3 0

2 years ago