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Nonamiya [84]
3 years ago
11

Can someone tell me how to solve -3x-4y=-2 and y=2x-5 in elimination form!!!!!

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0
-3x-4(2x-5)=-2
-3x-8x+20=-2
-11x=-2-20
-11x=-22/-11
-11x/-11=-22/-11
x=2
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Find the sum of the convergent series 7 0.7 0.007
mafiozo [28]
7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)

Let S_n denote the nth partial sum of the series, i.e.

S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}

Then

\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)

As n\to\infty, the exponential term vanishes, leaving us with

\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9

and so

7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9
3 0
3 years ago
How many times longer is 3 1/2 to 2 1/2
Alik [6]

Answer:

1.4 times as long

Step-by-step explanation:

3 1/2 (convert to mixed number) --> 7/2

2 1/2 (convert to mixed number) --> 5/2

(7/2) / (5/2) --> 7/5 --> 1.4

3 0
2 years ago
Read 2 more answers
The perimeter of a right triangle is 60 feet and the area is 150 square feet. If the lengths of the sides of the triangle are ea
JulsSmile [24]

Answer:

B. 600 ft

Step-by-step explanation:

The formula for the Perimeter of a right triangle = Side a + Side b + Side c

The perimeter of a right triangle is 60 feet

If the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle?

Hence, the perimeter of the new right triangle = 10 × 60ft

= 600ft

Option B is the correct Option.

4 0
3 years ago
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Kyle took a total of 9 pages of notes during a 3hr class. How many hours of class will it take for Kyle to take 12 pages of ntoe
Vladimir [108]

Answer:

4 hours

Step-by-step explanation:

9÷3=1

1 hour for 3 pages

12÷3= 4

4 hours

5 0
1 year ago
What is an equation of the line that passes through the points (4,-1) and (8,5)?
fiasKO [112]

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

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the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

8 0
2 years ago
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