Ask question

Ask question

All categories

r-ruslan [8.4K]

3 years ago

9

What is the equation of a line that goes through the point (3, 12) and is perpendicular to the line given by the equation y = -1

/3x - 7?
y = -3x - 12
y = -1/3x + 6
y = 3x + 3
y = (1/3x) - 6

1 answer:

Gnoma [55]3 years ago

7 0

Y=3x+3

Perpendicular lines have the product of their gradients =-1
since gradient of line 1 =-1/3
then gradient of line 2 is
-1/3*m=-1
m=3

You might be interested in

The perimeter of a rectangle must be less than 156 feet. If the length is known to be 66 feet, find the range of possible widths

balu736 [363]

x = perimeter

x<156

length = 66

so, in order to calculate perimeter you need to add two lengths and two widths

so

156 (perimeter) - 2 (66) = two widths

156 - 132 = 24 (remember this number is two widths added together)

so 24 twice the width SO 12 would be the number that the width can't be larger than

the width has to be less than 12

w < 12

5 0

3 years ago

Rosemarie drove from Philadelphia, Pennsylvania, to Pittsburgh, Pennsylvania. The distance between Philadelphia and Pittsburgh i

Nat2105 [25]

Answer:

The speed was $61\frac{miles}{hour}$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s------> the speed in miles per hour

d ----> the distance in miles

t ----> is the time in hours

we know that

$s=\frac{d}{t}$

we have

$d=305\ miles$

$t=5\ hours$

substitute

$s=\frac{305}{5}$

$s=61\frac{miles}{hour}$

7 0

2 years ago

A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2

bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

$V=l\times b\times h$

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

$V_1=kl\times kb\times kh$

$V_1=k^3(l\times b\times h)$

$V_1=k^3V$ ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

Substitute k=2 and V=1800 in equation (i).

$V_1=2^3(1800)$

$V_1=14400$

Therefore, the volume of required sink is 14400 cubic inches.

7 0

3 years ago

A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength

irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u> $\bar X$ <u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean comprehensive strength = 5500 psi

$\sigma$ = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( $\bar X$ > 4985 psi)

P( $\bar X$ > 4985 psi) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{4985-5500}{\frac{100}{\sqrt{9} } }$ ) = P(Z > -15.45) = P(Z < 15.45)

= <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0

3 years ago

How do I solve question 2?

sdas [7]

you multiply the number of years

6 0

2 years ago