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igomit [66]
3 years ago
10

10x + 60 = 9x - 30

ula1" title="10x + 60 = 9 \times - 30 \\ " alt="10x + 60 = 9 \times - 30 \\ " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

x = - 90

Step-by-step explanation:

Given

10x + 60 = 9x - 30 ( subtract 9x from both sides )

x + 60 = - 30 ( subtract 60 from both sides )

x = - 90

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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
Math question, note: there are two answers!!
stiks02 [169]

The answer is A and B.  I showed my work below.  I hope it makes sense.  Let me know if you have any questions.

5 0
3 years ago
2
Contact [7]
Answer is C
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6 0
2 years ago
Three less than the product of 9 and a number is equal to 6
Alchen [17]

Answer:

3<9n=6 or 3-9n≤6

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Grade 7 Math.
marshall27 [118]
Distributive
Communative
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3 years ago
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