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2 years ago

Solve Using elimination 4x + 5y =-7 - 5x – 3y =-1

Mathematics

1 answer:

jeyben [28]2 years ago

4 0

Answer:

(x,y) = (2, -3)

Step-by-step explanation:

Multiply both sides

Remove the parenthesis

calculate the products

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Write the integral that gives the length of the curve y = f (x) = ∫0 to 4.5x sin t dt on the interval [0,π].

Troyanec [42]

Answer:

Arc length $=\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx$

Arc length $=9.75053$

Step-by-step explanation:

The arc length of the curve is given by $\int_a^b \sqrt{1+[f'(x)]^2}\ dx$

Here, $f(x)=\int_0^{4.5x}sin(t) \ dt$ interval $[0, \pi]$

Now, $f'(x)=\frac{\mathrm{d} }{\mathrm{d} x} \int_0^{4.5x}sin(t) \ dt$

$f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left ( [-cos(t)]_0^{4.5x} \right )$

$f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left ( -cos(4.5x)+1 \right )$

$f'(x)=4.5sin(4.5x)$

Now, the arc length is $\int_0^{\pi} \sqrt{1+[f'(x)]^2}\ dx$

$\int_0^{\pi} \sqrt{1+[(4.5sin(4.5x))]^2}\ dx$

After solving, Arc length $=9.75053$

5 0

3 years ago

Fine the slope of the line that passes through (9,3) (2,2)

Charra [1.4K]

Just substitute it into the gradient formula which is: y2 - y1 / x2 - x1. So 2-3/2-9 = -1/-7 = 1/7

4 0

3 years ago

Read 2 more answers

What is the answer to 632/50 can someone help pls.

bixtya [17]

The answer is 12.64. I hope I helped. :)

8 0

2 years ago

Read 2 more answers

Alex invests $12,500 in a savings account that pays 2.75% interest compounded quarterly. how much money will he have in the acco

TiliK225 [7]

Total = Principal * (1 + (rate/n))^n*years
where n is the number of compounding periods per year
Total = 12,500 * (1 + (.0275/4) )^40
Total = 12,500 * (1.006875) ^40
Total = 12,500 * 1.3152923995 
Total = 16,441.16

Source:
http://www.1728.org/compint.htm

5 0

3 years ago

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How many solutions over the complex number system does this polynomial

Luda [366]

Answer:

4 solutions counting any possible multiplicity

Step-by-step explanation:

Recall that if one considers the Complex Number System, a polynomial has as many solutions (including multiplicity) as its degree.

So in this case, where we are considering a polynomial of order 4 Notice that the term $-\,33\,x^4$ , is in reality the leading term (term with the highest power of the variable) of this polynomial.

Therefore, in the Complex Number System, this polynomial would have 4 solutions.

8 0

3 years ago