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2 years ago

Write the equation of a line that is parallel to 3x + Oy = -9 through the point (3, 3).

Mathematics

1 answer:

Law Incorporation [45]2 years ago

8 0

Answer:

$3x-y-6=0$

Step-by-step explanation:

Given equation of the line ,

$\implies 3x + 0y = -9$

Convert it into $y = mx + c$ form ,

$\implies 0 = 3x + 9$

Hence , the

$m = 3$

As we know that the slope of parallel lines is same . Hence on using slope point form ,

$\implies y - y_1 = m(x - x_1) \\\\\implies y - 3 = 3 (x - 3) \\\\\implies y - 3 = 3x - 9 \\\\\implies 3x -9+3-y = 0 \\\\\implies 3x -y-6=0$

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Length of a rectangle is four times its width. If the perimeter is 100 m, what is the area in square cm?

melisa1 [442]

Set the width to be x. Thus, the length is 4x.

The perimeter is 2(x+4x)=100, so x=10.

Plugging in x=10, you get that 4x=40.

So, the area of the rectangle is 400 $m^2$ .

Because there are 100 centimeters in a meter and you are asking for area, you must multiply by $100^2$ to get 4000000 $cm^2$ .

6 0

2 years ago

Squareroot(y-1) + 3 = y

jek_recluse [69]

Note:xy means x times y and x(y) means the same thing

so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0

squareroot(y-1)+3=y

isolate the squareroot
subtrac 3 from boht sides

squareroot(y-1)=y-3

square both sides (since they are equal, you should be able to square both sides and still make it true)

(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5

0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0

therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work

let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true

y=5

7 0

3 years ago

I need answer for this question

just olya [345]

The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.

In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:

Z = X-ц / σ

· It measures how many standard deviations the measure is from the mean.

· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ

σ = σ / $\sqrt{n}$

σ is standard deviation

n is the sample size.

Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.

⇒ ц = 176.1 and σ = 35.4

For a sample of 43 passengers, we have

n = 43

σ = $\frac{35.4}{\sqrt{43}}$

σ = 5.398

Z = X-ц / σ

Z = $\frac{165-176.1}{5.398}$

Z = -2.05 has p- value of 0.9798

The probability that the aircraft is loaded is

1 - p-value of Z

1 - 0.0202 = 0.9798

The probability that the aircraft is overloaded is 97.98%

Know more about Normal probability Distribution: -brainly.com/question/9333901

#SPJ9

6 0

9 months ago

5) A submarine is cruising at -40 meters (40 meters below the surface). It

Verdich [7]

Answer:

-25

Step-by-step explanation:

You begin with -40, then decrease by 20 so your new value is -60, then increase by 35 so your final value is -25m... hope this helps (:

5 0

3 years ago

A line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify

Tpy6a [65]

The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14

Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7

5 0

3 years ago