Explanation

Solution :

If x= 2, y = 3, z = 4 then

$3x^2-4y^2+2z^2$

=$3(2)^2-4(3)^2+2(4)^2$

=$\left(3\times4\right)-\left(4\times9\right)+\left(2\times16\right)$

=$12-36+32$

=$44-36$

=$8$

∴ $3x^2-4y^2+2z^2=8$

Explanation

0.75:x::5:8⇒x0.75​=85​⇒x=0.75×58​⇒1.2

Explanation

Solve:

=√16+9 

=√(25)

=5

SH5-9-2023

Explanation

area of rectangle garden=1500m²

length of garden=500m

width=x

area of rectangle = length *breadth

=1500=500*x

x=1500/500

x=3m

SH5-9-2023

Explanation

The pitch of the screw is the distance moved by the screw along its axis in one complete rotation of its head

Explanation

An annulus is a region between two concentric circles. It is shaped like a ring or a donut.

Explanation

8^3 × 8^2 × 8^5 = ?

= 512 x 64 x 32768

= 10737

Explanation

12/35

sum of numbers = 12

Product of numbers =35

Let the numbers be x and y

x+ y= 12

xy= 35

According to question we have to find 1/x + 1/y

 1/x + 1/y =(y+ x)/xy

 1/x + 1/y=12/35

sum of their recriprocal is 12/35

Explanation

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Explanation

We have two equations:

x + y = 99 ... (1)

x - y = 9 ... (2)

Add (1) and (2) to eliminate y:

2x = 108

Divide by 2:

x = 54

Now, substitute x into (1) to find y:

54 + y = 99

Subtract 54 from both sides:

y = 45

So, the values are x = 54 and y = 45.