All categories

2 years ago

Please help! Which line would be perpendicular?

Mathematics

1 answer:

givi [52]2 years ago

8 0

Answer:

D. -2x + 2y = 1

Step-by-step explanation:

When the line is given in standard form:

ax + by = c, it has slope of -a/b

Given line:

4x + 4y = 3

It has a slope:

m = -4/4 = -1

A line perpendicular to the given should have a slope m = 1 as negative reciprocal to the given

Let's see which line has the slope of 1:

1. m = -(-1)/6 = 1/6 - NO
2. m = -4/4 = -1 - NO
3. m = -2/4 = -1/2 - NO
4. m = -(-2)/2 = 1 - YES

Correct option is D

You might be interested in

Divide.

joja [24]

I know that the answer is 318

5 0

2 years ago

Find the value of X for which the following fraction is undefined

aleksandrvk [35]

Answer: ±√2

Step-by-step explanation: A fraction is undefined when its denominator is =0 or undefined. so we need to get 2/3x²-6=0 or undefined. so we can also do 3x^2-6=0. Solving yields ±√2!

3 0

2 years ago

Find the area of the triangle. ANSWERS: A) 84 m2 B) 66 m2 C) 42 m2 D) 132 m2

Daniel [21]

Answer:

Step-by-step explanation:

........

4 0

2 years ago

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det

Maru [420]

Answer:

0.077994

Step-by-step explanation:

Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.

$H_0: Mean = 30\\H_a: Mean >30$

(Right tailed test)

Sample size = $n=250$

Sample mean = 30.45

Mean difference = $30.45-30=0.45\\$

Sample std dev s = 5

Sample std error = $\frac{5}{\sqrt{n} } =\frac{5}{\sqrt{250} } \\=0.3163$

Test statistic = Mean diff/std error = $=\frac{0.45}{0.3163} =1.423$

Since population std deviation is not know we use t test

p value = $0.077994$

4 0

3 years ago

A salt water solution is cooled to -3C. During an experiment , the mixture is heated so that its, temperature rises at steady ra

JulijaS [17]

Answer:

$y = -3+ rx$

Step-by-step explanation:

Given

$Base = -3C$

$Time = x$

Required

Determine the equation (y)

Let the steady rate be represented with r.

So, the equation (y) can be determined using:

$y = Base + Rate * Time$

$y = -3+ r* x$

$y = -3+ rx$

7 0

2 years ago