First you subtract 47 from both sides (-47 from 47 and -47 from 32)
Then you get -3x = -15
Divide -3 from -3x and -3 from -15
Leaving you with X = 5
Answer:
150, 200, 300
Step-by-step explanation:
sum the parts of the ratio , 3 + 4 + 6 = 13 parts
divide the total by 13 to find the value of one part of the ratio
650 ÷ 13 = 50 ← value of 1 part of the ratio , then
3 parts = 3 × 50 = 150 ← number of sweets Cia gets
4 parts = 4 × 50 = 200 ← number of sweets Mia gets
6 parts = 6 × 50 = 300 ← number of sweets Tia gets
9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
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<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
<span>3. Two isosceles right triangles
Every square has 4 right angles, so each triangle will have one right triangle, which makes the triangles, right triangles.
They are isosceles because all sides of the square are the same, though the diagonal is not.
Hope this helps :)
</span>
Answer:
<em>LCM</em> = 
Step-by-step explanation:
Making factors of 
Taking 
common:
Using <em>factorization</em> method:
Now, Making factors of 
Taking 
common:
Using <em>factorization</em> method:
The underlined parts show the Highest Common Factor(HCF).
i.e. <em>HCF</em> is 
.
We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:
Using equations <em>(1)</em> and <em>(2)</em>:
Hence, <em>LCM</em> =
