Answer:
A, The value of g(-2) is smaller than the value of g(4).
Step-by-step explanation:
The others DO NOT make sense.
Hope this helps! This is the long division way.
y = x^2 -5x-6 is a quadratic equation.
On a graph, rather than a straight line, this type of equation forms what is known as a parabola, which means it goes one direction and then makes almost like a U-turn.
The point in which the parabola (as mentioned before) changes direction is called the vertex.
Specifically, y = x^2 -5x-6 has exactly 2 solutions. This means that there are 2 different possible answers to this equation.
The solutions, or roots, to this equation are x= 6 and x= -1.
If you look at the graph for this equation, the parabola opens upwards like a U, and the vertex is ( 5/2, -49/4).
Answer:
C
Step-by-step explanation:
The volume of the cone can be calculated using formula
![V=\dfrac{1}{3}\cdot \pi r^2 h,](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%20%5Cpi%20r%5E2%20h%2C)
where h is the height of the cone, r is the base radius.
In your case, h=24 un., r=7 un. So
![V=\dfrac{1}{3}\cdot \pi \cdot 7^2\cdot 24=49\cdot 8\pi=392\pi \ un^3.](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%20%5Cpi%20%5Ccdot%207%5E2%5Ccdot%2024%3D49%5Ccdot%208%5Cpi%3D392%5Cpi%20%5C%20un%5E3.)
Answer:
The height of the cliff is 31.17 feet.
Step-by-step explanation:
For better understanding of the solution see the attached figure :
Let the height of cliff be x feet.
In ΔABC and ΔDEC,
m∠ABC = m∠DEC = 90° (Angle made between the height and the ground is right angle)
∠ACB = ∠DCE ( Angle of reflection = Angle of incidence because N is normal )
So, By AA postulate of similarity of triangles, ΔABC ~ ΔDEC
Now as triangles are similar, their sides will be proportional to each other.
![\frac{AB}{DE}=\frac{BC}{EC}=\frac{AC}{DC}\\\\Taking,\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies \frac{5.5}{x}=\frac{6}{34}\\\\\implies x=\frac{34\times 5.5}{6}\\\\\bf\implies x = 31.17](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDE%7D%3D%5Cfrac%7BBC%7D%7BEC%7D%3D%5Cfrac%7BAC%7D%7BDC%7D%5C%5C%5C%5CTaking%2C%5Cfrac%7BAB%7D%7BDE%7D%3D%5Cfrac%7BBC%7D%7BEC%7D%5C%5C%5C%5C%5Cimplies%20%5Cfrac%7B5.5%7D%7Bx%7D%3D%5Cfrac%7B6%7D%7B34%7D%5C%5C%5C%5C%5Cimplies%20x%3D%5Cfrac%7B34%5Ctimes%205.5%7D%7B6%7D%5C%5C%5C%5C%5Cbf%5Cimplies%20x%20%3D%2031.17)
Hence, The height of the cliff is 31.17 feet