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stich3 [128]
2 years ago
15

If 9(x + 5) = 63 , what is the value of x + 5 ?

Mathematics
1 answer:
alina1380 [7]2 years ago
3 0
X=2 so the value of x+5 is 7
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Find the positive value of x in the geometric sequence 7x-2,4x+4,3x
Goryan [66]
Hello,


Let's assume k the ratio.


 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
 \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\
 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
 \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\

\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

36k^2-6k-12=0\\
6k^2-k-2=0\\

\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\







\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\





5 0
2 years ago
Rationalize the denominator of the following expression and simplify:
Mama L [17]
To "rationalize the denominator" is another way to say, getting rid of that pesky radical at the bottom.

we'll simply start by multiplying top and bottom by the "conjugate" of the denominator, recall difference of squares, anyhow, let's do so

\bf \cfrac{6+\sqrt{2}}{5-\sqrt{2}}\cdot \cfrac{5+\sqrt{2}}{5+\sqrt{2}}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{(5-\sqrt{2})(5+\sqrt{2})}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{5^2-(\sqrt{2})^2}
\\\\\\
\cfrac{30+6\sqrt{2}+5\sqrt{2}+(\sqrt{2})^2}{25-2}\implies \cfrac{30+11\sqrt{2}+2}{23}\implies \cfrac{32+11\sqrt{2}}{23}
4 0
3 years ago
When a car travels a distance of d kilometers in time t hours, the average speed for the journey is given by a =4/t km h^-1. fin
zysi [14]

speed=d/t=200X2/5=80km/hr

d=sXt=13X80/4=260km

865/110=173/22hr=173X60/22=173X30/11=467min

4 0
3 years ago
Which of the following is a root of the polynomial function?​
liubo4ka [24]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
CAN SOMEONE HELP ME FIND THE DISTANCE..​
kirill115 [55]

The angle of elevation from point C to point A is 32^{\circ}

<em><u>Solution:</u></em>

Given that we have to find the angle of elevation from point C to Point A

Given in figure that, angle A = 58^{\circ}

Given is a right angled triangle ABC where angle B = 90^{\circ}

We have to find angle C

The angle sum property of a triangle states that the angles of a triangle always add up to 180°

Therefore, in given triangle ABC

angle A + angle B + angle C = 180

58^{\circ} + 90^{\circ} + C = 180^{\circ}

148^{\circ} + C = 180^{\circ}\\\\C = 180^{\circ} - 148^{\circ}\\\\C = 32^{\circ}

Therefore angle C = 32^{\circ}

5 0
2 years ago
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