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lara31 [8.8K]
2 years ago
11

PLS HELP ILL GIVE BRAINLIEST

Mathematics
2 answers:
trasher [3.6K]2 years ago
8 0

Answer:

y=1/3x+4

Step-by-step explanation:

y=2-3x is equivilent to y=-3x+2

Here were see that the coefficient of x is -3. In order to find a line that is perpendicular to another line, we need to put the opposite sign and make the coefficient the reciprical.

So now we know that y=1/3x will be perpendicular to your line. If the point goes through (0,4) that means when x is zero, y is 4. If we plug that into our expression 4=1/3*0, we see that we need to add 4 to make this true.

So our answer is y=1/3x+4

Sati [7]2 years ago
5 0
The answer is y = 1/3x + 4. -3x repricdal = 1/3. 4=1/3(0) + 4
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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

8 0
3 years ago
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BaLLatris [955]
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In Arizona, a minimum temperature of -40°F was recorded at Hawley Lake 1971. A maximum recorded
ddd [48]
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What are the solutions of the quadratic equation? 4x^2+34x+60=0
insens350 [35]

Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^{2} +34x+60=0  

so

a=4\\b=34\\c=60

substitute in the formula

x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}

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x_2=\frac{-34(-)14} {8}=-6

6 0
3 years ago
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