A function in math is a relationship or expression involving one or more variables.
Answer:
x = 6
HI = 29
Step-by-step explanation:
✔️HI = ½(AB) => Triangle Mid-segment Theorem
HI = 5x - 1
AB = 58
Plug in the values and solve for x
5x - 1 = ½(58)
5x - 1 = 29
Add 1 to both sides
5x - 1 + 1 = 29 + 1
5x = 30
Divide both sides by 5
5x/5 = 30/5
x = 6
✔️HI = 5x - 1
Plug in the value of x
HI = 5(6) - 1
HI = 30 - 1
HI = 29
Answer: y-intercept = (0, -18)
Step-by-step explanation:
This is a quadratic equation question, where the quadratic equation is in the standard form of [y = ax² + bx + c]
The function of [a] in the equation is to determine the maximum/minimum of the parabola. If [a] is positive, then the parabola opens upward, which is a minimum. If [a] is negative, then the parabola opens downward, which is a maximum.
There aren't any particular functions of [b], but it operates with [a] to find the axis of symmetry.
The function of [c] is the y-intercept. The easiest way to prove this is to let x be zero, then we are left with the value [c]
<u>Solve:</u>
Given: y=-x²+8x-18
a = -1
b = 8
c = -18
Therefore, the y-intercept is (0, -18)
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Answer:
15/8
Step-by-step explanation:
Applying
tanθ = Opposite(O)/Adjacent(A)
tanθ = O/A............ Equation 1
From the diagram,
To get the opposite(O), we apply pythagoras theorem
a² = b²+c²
Where c = opposite
17² = 8²+c²
289 = 64+c²
c² = 289-64
c² = 225
c = √225
c = 15
Substitute into equation 1
Therefore,
tanθ = 15/8
Hence the exact value of tanθ is 15/8
Let be x the number of new movie, and y the older,
the matrix according to the problem is AZ=B, look at the attached file
