Answer:
x = 6/7
Step-by-step explanation:
7x/2+5=8
Subtract 5 from each side
7x/2+5-5=8-5
7x/2 = 3
Multiply each side by 2/7
2/7 * 7/2x = 3*2/7
x = 6/7
3 to 4 is the ratio of strawberries to orange juice.
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Answer:
a = -7 and b = 1. The constant term is 4
Step-by-step explanation:
In standard form, this equation is -7x^2 + x + 4 = 0
The coefficients are a = -7 and b = 1. The constant term is 4.
Answer:
-1
Step-by-step explanation:
2x² - 5x + 7 is subtracted <em>from </em>x² + 2x - 11, so
(x² + 2x - 11) - (2x² - 5x + 7)
x² + 2x - 11 - 2x² + 5x -7 (Distribute the negative)
-x² + 7x - 18 (Combine like terms)
The leading coefficient is the coefficient of the first term, so it is -1.
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
- (Hypotenuse)² = (Adjacent)² + (Opposite)²
- (5x - 2)² = (QR)² + (3x - 1)²
- (QR)² = (5x - 2)² - (3x - 1)²
After factorising both of them we get
- (QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)
- (QR)² = 25x² - 20x + 4 - 9x² + 6x - 1
So, QR is √(16x² - 14x + 3)