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3 years ago

Which expression is equivalent to 15 n=10 (n+3/n)?

Mathematics

1 answer:

Karolina [17]3 years ago

3 0

Answer:

±√6

Step-by-step explanation:

$15n=10(n+\frac{3}{n} )$ is your expression first muiltiply out the 10 to get 15n= 10n+10 3/n next subtract 10 n from both sides to get 5n=10+3/n multiply both sides by n to get 5n^2=13 combine both sides and use the quadratic equation to solve to get your solution of ±√6

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Solve the equation by factoring. 2x^2 + 15x + 25 = 0

Pepsi [2]

Answer:(2x+5)(x+5)=0

Step-by-step explanation:

2x^2+15x+25=0

Factorise we have

2x^2+10x+5x+25

(2x^2+10x)+(5x+25)=0

2x(x+5)+5(x+5)=0

(2x+5)(x+5)=0

7 0

3 years ago

Read 2 more answers

Solve both by substitution method (algebra 2) and show work please<br><br> -2x-7y=22<br>-7x-5y=-1

Alex17521 [72]

$\bf \begin{cases}
-2x-7y=22\\
-7x-5y=-1
\end{cases}\qquad \textit{let's solve the \underline{second one} for "x"}
\\\\\\
-7x-5y=-1\implies -7x=5y-1\implies x=\cfrac{5y-1}{-7}
\\\\\\
\boxed{x=\cfrac{1-5y}{7}}\impliedby \textit{now, let's substitute it in the \underline{first one}}
\\\\\\$

$\bf -2\left( \frac{1-5y}{7} \right)-7y=22\implies \cfrac{10y-2}{7}-7y=22
\\\\\\
\textit{now, let's multiply both sides by 7, to toss the denominator}
\\\\\\
7\left( \cfrac{10y-2}{7}-7y \right)=7(22)\implies 10y-2-49y=154
\\\\\\
-39y=156\implies y=\cfrac{154}{-39}\implies \boxed{y=-4}
\\\\\\
\textit{now, let's use that in the \underline{first one}}
\\\\\\
-2x-7(-4)=22\implies -2x+28=22\implies 6=2x\implies \cfrac{6}{2}=x
\\\\\\
\boxed{3=x}$

4 0

3 years ago

I need to find the area of a semicircle with a radius of 2 units

MariettaO [177]

Answer:

6.2832 square units (rounded off to four decimal values)

Step-by-step explanation:

Area of a semicircle = $\frac{1}{2}$ × π × r²

r (radius) = 2 units

For our semicircle the area = $\frac{1}{2}$ × π × 2² = 6.28318530718 square units

Or 6.2832 square units (rounded off to four decimal values)

5 0

3 years ago

Please help! I get how to do the first part I just don't get how to do the second part.

xz_007 [3.2K]

9514 1404 393

Answer:

WX = 33

(x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

WX = 33

The hash marks also tell you ...

PW = WS

y +4x = 18 . . . . . . substitute the given expressions

and also

QX = XR

2y +x = 22 . . . . . substitute the given expressions

If you solve the first equation for y, you get ...

y = 18 -4x

Substituting that into the second equation gives ...

2(18-4x) +x = 22

36 -7x = 22 . . . . . . . simplify

14 = 7x . . . . . . . . . . . add 7x-22 to both sides

2 = x . . . . . . . . . . . . divide by 7

y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

7 0

3 years ago

Jayden evaluated the expression a ÷ (2 + 1.5) for a = 14. He said that the value of the expression was 8.5. Select all the state

Darina [25.2K]

Answer:

C) Jayden divided 14 by 2 and then added 1.5.

Step-by-step explanation:

Jayden did

(14/2)+1.5 which is 8.5

so C is correct.

Hope this helps plz hit the crown :D

6 0

3 years ago