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H H 1 year, 4 months ago

HCF 50 LCM 300
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Rakshith Hs 1 year, 4 months ago

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Punit Patodi 1 year, 4 months ago

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H H 1 year, 4 months ago

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Kritika Gupta 1 year, 4 months ago

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Naman Kumar Lakra 1 year, 4 months ago

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Rakshith Hs 1 year, 4 months ago

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Abhinav Kumar 1 year, 4 months ago

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Zuha Yasmin 1 year, 4 months ago

34
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Aryan Garg 1 year, 4 months ago

To find the value of α^4β^3 + α^3β^4, we first need to find the sum and product of the roots of the quadratic polynomial f(t) = t^2 - 4t + 3. The sum of the roots (α + β) = -(-4) = 4 The product of the roots (αβ) = 3 Now, we can use these values to find the desired expression: α^4β^3 + α^3β^4 = α^3β^3(α + β) = α^3β^3 * 4 (since α + β = 4) = 4 * (αβ)^3 = 4 * 3^3 = 4 * 27 = 108 Therefore, the value of α^4β^3 + α^3β^4 is 108.
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Bhavya Sharma 1 year, 4 months ago

Let x be the original average speed of the train in km/hr. We know the total distance traveled is 63 km + 72 km = 135 km. We can express the time taken for each part of the journey using the formula time = distance / speed. Time for the first 63 km: 63 km / x hours Time for the second 72 km: 72 km / (x + 6) hours (since the speed is 6 km/hr faster than the original speed) The total time taken is 3 hours, so we can set up an equation: 63 km / x hours + 72 km / (x + 6) hours = 3 hours
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Liza Mariyam 1 year, 4 months ago

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Devansh Thareja 1 year, 4 months ago

Answer - x + y = 137 90 + 47 = 137 And 90 - 47 = 43 So, the no. are 90 and 47

Cinderella Fairy 1 year, 4 months ago

Answer is 90 and 47 90 + 47 = 137 90 - 47 = 43 Hope it works 😃
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Bhavya Sharma 1 year, 4 months ago

We can analyze whether the two equations 3x + 2y = 5 and 2x - 3y = 7 are consistent (have a solution) or inconsistent (no solution) by comparing the coefficients of x and y in each equation. Here's how: Represent the equations in the general form ax + by = c : Equation 1: 3x + 2y = 5 can be rewritten as 3x + 2y - 5 = 0 (by subtracting 5 from both sides) Coefficients: a1 = 3, b1 = 2, c1 = -5 Equation 2: 2x - 3y = 7 can be rewritten as 2x - 3y - 7 = 0 (by subtracting 7 from both sides) Coefficients: a2 = 2, b2 = -3, c2 = -7 Compare the ratios of corresponding coefficients: a1/a2 = 3/2 (ratio of x coefficients) b1/b2 = 2/-3 (ratio of y coefficients) Consistency analysis: A system of equations is consistent if the ratios a₁/a₂ and b₁/b₂ are not equal but not negative inverses of each other. In this case: a₁/a₂ ≠ b₁/b₂ (3/2 ≠ -2/3) a₁/a₂ is not the negative inverse of b₁/b₂ (3/2 ≠ 3/(-2)) Therefore, the two equations 3x + 2y = 5 and 2x - 3y = 7 are consistent. This means they have a common solution (a specific value for x and y that validates both equations).
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Aditya Raj 1 year, 4 months ago

The value of cot 15° is approximately 3.7321, or 2 + √3.
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Harsh Chaudhari 1 year, 4 months ago

Let's assume tha 7-2√3 is rational Now, 7-2√3 = a/b (where b is not equal to 0) 2√3 = a+7/b √3. = a+7/2b We can write b in the form √3/b So, if √3 can be written in the form of p/q so it's rational. But it's universal fact tha √3 is irrational "it can not write in form of p/q" Are assumption is wrong that 7-2√3 is rational. Hence, it's not rational than its irrational. Hence, Porved

Khushal Kamble 1 year, 4 months ago

Proof

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