-6/7 < -6.7
i hope this helps
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
Answer:
h ≈ 9.9 cm
Step-by-step explanation:
By applying tangent rule for the given angle in the given right triangle,
tan(51°) = 
tan(51°) = 
h = 8 × tan(51°)
h = 9.879
h ≈ 9.9 cm
Therefore, measure of side 'h' is 9.9 cm.
Answer: 2/5
Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5
