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Savatey [412]
3 years ago
9

Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side o

f the equation as a single fraction. y = 5x − 1 2 ; (3, 3)
Mathematics
2 answers:
xenn [34]3 years ago
4 0
To answer this question we need to know two things, 1) a linear equation is written as y=mx+b. and 2) a perpendicular line is the negative reciprocal of the given slope. So, with this in mind, we now know that the new slope is -1/5x. In order for the equation to pass through the given points (3,3), we need to plug it in with the new equation. We plug both x and y with 3 while leaving the y-intercept to be variable b. 3=-1/5(3)+b. Now, we solve this equation by isolating the variable. -1/5*3 is -3/5, and we add this to 3, so it will be 3 3/5. This will be our new y-intercept. The equation is now y=-1/5x+3 3/5. 
scZoUnD [109]3 years ago
3 0
Y = 5x - 12....the slope here is 5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, u flip the slope and change the sign. So we have 5 or 5/1.....flip the slope making it 1/5.....change the sign making it -1/5. So the perpendicular line will have a slope of -1/5.

y = mx + b
slope(m) = -1/5
(3,3)....x = 3 and y = 3
now we sub into the formula and find b, the y int
3 = -1/5(3) + b
3 = -3/5 + b
3 + 3/5 = b
15/5 + 3/5 = b
18/5 = b

so ur equation is : y = -1/5x + 18/5
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The ratio of the number of games won to the number of games lost (no ties) by the Middle School Middies is
LenKa [72]

Answer:

27%

Step-by-step explanation:

The ratio means that for every 11 games won, 4 are lost, so the team has won 11<em>x</em> games, lost 4<em>x</em> games, and played 15<em>x</em> games for some positive integer <em>x</em>. The percentage of games lost is

4x / 15x * 100 = 4/15 * 100 = 26.6666 = 27%

6 0
3 years ago
A DVD player is regularly priced at 79.95 and is on sale for 30% off. What is the discount?
evablogger [386]

Answer:

$2.40 or $77.55

Step-by-step explanation:

I don't know if you are asking for how much off or what, so I'm doing both

First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:

79.95 x 0.03 = 2.40

So 30% of 79.95 is $2.40

To find how much our new price sale is, we have to take that $2.40 off so our equation is:

79.95 - 2.4 = 77.55

So our discount price is $77.55

hope this helps:)

7 0
3 years ago
I need help. Please answer! ✨✨✨
Butoxors [25]
The correct answer is B.
Feet below sea level means that the higher number, the lower the elevation. B has the highest number.
5 0
3 years ago
A tank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. The tank is full
german

Answer:

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius =  4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out = \frac{1}{3} \pi R^2 h-\frac{1}{3} \pi r^2 h'

Here we have r/h is constant always

Hence \frac{r}{h'} =\frac{R}{h} \\r=Rh'/h = 4(5)/10 = 2

Substitute to get volume of water pumped out = \frac{1}{3} \pi (10*16-4*5)=\frac{140\pi}{3}

Mass of water = density x volume = 62.4(\frac{140\pi}{3})\\= 2912\pi lbs

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

W=2912(32.2)(5)\pi =468832\pi foot -pound

6 0
3 years ago
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lana [24]
0.5 of a mile - since 5,280ft = 1 mile and half of 5,280 is 2,640
5 0
3 years ago
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