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Stels [109]
2 years ago
5

Complete the formula HCF or LCM​

Mathematics
2 answers:
zlopas [31]2 years ago
5 0

Answer:

highest common factor

lowest common multiple

tangare [24]2 years ago
4 0

Answer:

HCF:

Two or more numbers are expressed as the product of their prime factors. HCF = Product of the common prime factors with the lowest powers. Division Method: We use Euclid's Division Lemma( a = bq+ r.) to find the HCF of two numbers a and b. i.e. Dividend = Divisor × Quotient + Remainder.

LCM:

When two or more numbers have the same numbers as their multiples, these multiples are called common multiples. Out of all the common possible multiples the one that is least (smallest) and common for both the numbers, is said to be their least common multiple LCM. LCM Formula helps in calculating this least common multiple for numbers.LCM = (a × b)/HCF(a,b)

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Rewrite in a simpler equivalent form and solve
AveGali [126]

Given:

The equation is

\dfrac{3x}{7}+\dfrac{2}{7}=2

To find:

The simpler equivalent form and solve the given equation.

Solution:

We have,

\dfrac{3x}{7}+\dfrac{2}{7}=2

It can be written as

\dfrac{3x+2}{7}=2

Multiply both sides by 7.

3x+2=14

3x=14-2

3x=12

Divide both sides by 3.

x=\dfrac{12}{3}

x=4

Therefore, the simpler equivalent form of the given equation is 3x+2=14 and the solution is x=4.

5 0
3 years ago
PLEASE SOLVE THIS PROBLEM ​
schepotkina [342]

Answer:

18) Area= 5*5/2=25/2=12.5 unit ^2

19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Step-by-step explanation:

18. A(-3,0)

B(1,-3)

C(4,1)

AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5

AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2

BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5

so AB=BC=5

and AC^2=AB^2+BC^2

so trg ABC is an isosceles right  angle triangle (<B=90)

Area= 5*5/2=25/2=12.5 unit ^2

19. A(a,a)

B(-a,-a)

C(-V3a, V3a)

AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2

AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2

BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2

so AB=AC=BC

Area=AB^2V3/4=8a^2*V3/4=2V3a^2

7 0
3 years ago
Choose an equation that would be used to solve 0 = -x2 + 10x – 8
stiks02 [169]

Choose an equation that would be used to solve  0 = -x2 + 10x – 8

Answer: (x-5)^2=17

8 0
3 years ago
Solve using identities [0,2) cos2x=sinx
bekas [8.4K]
We have:

\cos 2x = 1 - 2 \sin^2 x

Thus:

1 - 2 \sin^2 x = \sin x

Adding 2 \sin^2 x - 1 gives:

2 \sin^2 x + \sin x - 1 = 0

Factoring gives:

(2 \sin x + 1)(\sin x - 1) = 0

Thus, we have:

\sin x = \frac{-1}{2}

or

\sin x = 1.

Note that because 2 \pi > 2, there will be no solutions y of the form 2n\pi + z for positive integer n and solution z.  So we find the basic values of x giving \sin x \in (\frac{-1}{2}, 1).

For \sin x = \frac{-1}{2} with positive x, x > \pi > 2 (this can be seen easily from the unit circle.  But x < 2, a contradiction.  So we examine the case in which \sin x = 1.

In this case, x = \frac{\pi}{2}.  So this is the only solution to this equation.

Substituting this back in, we have \sin \frac{\pi}{2} = \cos \pi = 1, as desired.  So this is a valid solution.

Thus, x = \frac{\pi}{2}.
7 0
3 years ago
Find the circumference of a circle with a radius of 6. Leave your answer in terms of pi
marissa [1.9K]
   
<span>If R = 6 cm, then
circumference  =  2</span>πR = 2 × 6 × π  = 12π cm



4 0
3 years ago
Read 2 more answers
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