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Nady [450]
3 years ago
9

By what factor would you need to multiply the first and second equations to eliminate x? By what factor would you need to multip

ly the second and third equations to eliminate x?
Mathematics
1 answer:
gavmur [86]3 years ago
4 0
Equation 1 : x + y + z = 3.25
equation 2 : 12x + 2y + z = 9.50
equation 3 : 2x + 4y + 5z = ??

u would multiply equation 1 by -12.....take that result and add it to equation 2....this eliminates x.

u would multiply equation 3 by -6...take that result and add it to equation 2....this eliminates x


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Please answer asap!!!!!
kherson [118]

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

2

=r

2

where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

4 0
2 years ago
A diagram of Eric pool as shown below. He plans to fill this pool to a depth of 4ft with a garden hose that flows at 80ft expone
Alex777 [14]
<span>The Volume of a Cylinder  =   </span><span>π <span>• r² • height<span>
</span></span></span>radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume = <span> <span> <span> 2,290 cubic feet</span></span></span>
The hose delivers 80 <span>cubic feet per hour so it will take:
</span>2,290 / 80 = <span> <span> <span> 28.625 </span> </span> </span> hours
**************************************************************************
The volume of the pool is:
volume = PI * 182.25 * 4.5
= <span> <span> <span> 2,576.</span></span></span>5 cubic feet


6 0
3 years ago
Solve this problem too
leonid [27]

Answer:

1.120

Step-by-step explanation:

going from small to large milli is 10^-3 L

3 0
2 years ago
Read 2 more answers
12y+8=2x<br> Solve for x and y
KiRa [710]
I’m learning this right now so first you will subtract 8 on both sides of the equation. Then, rewrite it as 12y=2x-8. Next you will divide by 12 to each number when you are done then rewrite it as y=1/6x-2/3. Then for x you will divide by 2 on both sides and it would be x=6y+4. Well, that’s how I’m learning it I don’t know if that’s the same way you are learning it. But there you go
7 0
3 years ago
Read 2 more answers
√1521 = evaluate 390²
Digiron [165]

Answer:

the square root of 1521 is 39 and 390 squared is 152,100 if that helps you

7 0
3 years ago
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