All categories

3 years ago

Given that the prime factorisation of 198 is 2x(3×3)x11. State the minimum integer value of

Mathematics

1 answer:

mylen [45]3 years ago

7 0

Answer:

Step-by-step explanation:

198 = 2×3²×11

For 198n to be a perfect square, each prime factor must have an even exponent. So the smallest 198n would be:

198n = 2²×3²×11²

198n = 4356

n = 22

You might be interested in

Solve the system<br> 4x + 2y = 10<br> x = y + 13

Maslowich

Answer:

$x = 6$

$y = -7$

Step-by-step explanation:

We have the system of equations:

$4x+2y=10\\x=y+13$

Let's solve by substituting. We know that $x=y+13$ , so we can substitute $y+13$ in as $x$ in the equation $4x+2y=10$ .

$4(y+13) + 2y = 10$

Simplify this down so that we have $y$ on one side of the equation:

$4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7$

Now that we know the value of $y$ , we can substitute it in to the equation $x = y+13$ to find $x$ .

$x = -7+13\\\\x = 6$

Hope this helped!

3 0

3 years ago

Read 2 more answers

Can someone help me with this question??

maksim [4K]

Answer:

QT < TR.

Step-by-step explanation:

QT = TR because TZ is a mid segment so QT < TR is false.

6 0

4 years ago

Write in slope intercept form . y+4=−12(x−2)

inna [77]

Answer:

Step-by-step explanation:

y+4=−12(x−2)

Step 1: Add -4 to both sides.

y+4+−4=−12x+24+−4

y=−12x+20

6 0

3 years ago

Read 2 more answers

Sophie was asked to plot the point (8,5). She started at the origin, moved 8 units up and 5 units to the

ycow [4]

Answer:

she plotted (8,5)

Step-by-step explanation:

the formula of that is (x,y). you would need to go 8 to the right and 5 units up. sophie mixed up the values.

6 0

2 years ago

Read 2 more answers

Rewrite the expressions below by completing the square.

Mrrafil [7]

Answer:

(x + 2)^2 - 1

Step-by-step explanation:

x^2 + 4x + 1

= (x^2 + 4x + 2 - 2 + 1)

= (x + 2)^2 - 1

3 0

3 years ago