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Amanda [17]
3 years ago
9

X>0 and 2x^2+3x-2=0 what is the value of x

Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0

Step-by-step explanation:

2x²+3x-2=0

(2x-1)(x+2)

x+2=0

x=-2 (no, because x must be >0)

2x-1=0

2x=1

x=½ (yes, because x>0)

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Xy+4y=3x-2, show that y is a function of x
zepelin [54]
(xy+4y)/x = (3x-2)/x
(y+4y)/x = (3x-2)/x divide both side by x
5y /x = (3x-2)/x
5y= 3x-2 Mult by x both side
y= (3x-2)/5
6 0
3 years ago
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A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from th
vovangra [49]

Answer:

705 meters

Step-by-step explanation:

cos~60=\frac{650^2+750^2-d^2}{2 \times 650  \times 750} \\2 \times 650 \times 750 \times \frac{1}{2}=50^2(13^2+15^2)-d^2 \\487500=2500(169+225)-d^2\\487500=2500(394)-d^2\\487500=985000-d^2\\487500-985000=-d^2\\d^2=497500\\d=\sqrt{497500}\\or~d\approx705.337 \approx 705~meters

7 0
3 years ago
What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?
soldier1979 [14.2K]

Answer:

The answer is

<h2>y =  -  \frac{3}{5} x + 13</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

<h3>y =  -  \frac{ 3}{5} x +  \frac{11}{5}</h3>

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

<h3>y - 4 =  -  \frac{3}{5} (x - 15) \\y - 4 =  -  \frac{3}{5} x + 9 \\ y =  -  \frac{3}{5} x + 9 + 4</h3>

We have the final answer as

<h3>y =  -  \frac{3}{5} x + 13</h3>

Hope this helps you

8 0
3 years ago
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Diano4ka-milaya [45]

Answer:

The most important lab safety rule is to know the location of and how to use safety equipment, such as a fire extinguisher.

Step-by-step explanation:

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8 0
3 years ago
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ANSWER QUICKLY BRAINLIEST ​
NeTakaya

Answer:

The Answer would be No

Step-by-step explanation:

Hope im correct.

I did this when i was in middle school

4 0
3 years ago
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