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2 years ago

How many solutions does this equation have?

Mathematics

1 answer:

Leto [7]2 years ago

4 0

Answer:

The given equation having only one solution i.e., "w = 3". A further explanation is provided below.

Step-by-step explanation:

The given equation is:

⇒ $9(w-9)-2=-7w+7(w-8)$

By opening the brackets, we get

⇒ $9w-81-2=-7w+7w-56$

⇒ $9w-83=-56$

On adding "83" both sides, we get

⇒ $9w-83+83=-56+83$

⇒ $9w=27$

⇒ $w=\frac{27}{9}$

⇒ $=3$

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Find the least common multiple.

nikklg [1K]

The least common multiple is 3

8 0

3 years ago

Which of these sets could represent the side lengths of a right triangle?

Jlenok [28]

Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

$(Base)^{2} + (Perpendicular)^{2} = (Hypotenuse)^{2}$

Now, in the given triplets:

(a) {4, 8, 12}

Here, $(4)^{2} + (8)^{2} = 16 + 64 = 80\\\implies H = \sqrt{80} = 8.94$

So, third side of the triangle 8.94 ≠ 12

Hence, {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, $(6)^{2} + (8)^{2} = 36 + 64 = 100\\\implies H = \sqrt{100} = 10$

So, third side of the triangle 10

Hence, {6, 8, 10} is a triplet.

Here, $(6)^{2} + (8)^{2} = 36 + 64 = 100\\\implies H = \sqrt{100} = 10$

So, third side of the triangle 10 ≠ 15

Hence, {6, 8, 15} is NOT a triplet.

(d) {5, 7, 13}

Here, $(5)^{2} + (7)^{2} = 25 + 49 = 74\\\implies H = \sqrt{74} = 8.60$

So, third side of the triangle 8.60 ≠ 13

Hence, {5, 7, 13} is NOT a triplet.

4 0

3 years ago

The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.

8_murik_8 [283]

Answer:

4n+(2n-9)

4n+2n-9

6n-9 =the total age

6n=9

divide by 6 both sides.

n=9/6

n=1.5 years.

substitute the value of n in the age of the father and the daughter.

Age of father=4×1.5

6years.

Age of Daughter = (2×1.5)-9

3-9

=-6 years

Total age

6-6=0

4 0

2 years ago

Define a Variable in a equation

Vladimir [108]

A variable is a symbol that’s used in a number. It typically uses a variation of letters such as x,y,etc. for instance 3x=6

3 0

3 years ago

How do you convert a radical expression to a rational exponent and vice versa?

krok68 [10]

Take the expression x^2/3 which has an exponent of 2/3. The top of the fraction refers to the power - that is x^2 ( x squared). and the 3 indicates a cubic root.

So in radical form it is ∛(x^2)

Converting radical to exponent an example would be

∛(x^5) = x^(5/3)

5 0

3 years ago