Which of the following statements are true about the graph?

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

7 0

A,C,D,G

minimum= -9

zeros -4and 2 (aka x-intercept(s))

vertex is (-1,-9)

the y-intercept is (0,-8)

Aleks04 [339]3 years ago

6 0

A, C, D, G

_____
B - the graph is of a quadratic function (apparently). It has a minimum value of -9 as shown on this graph. The maximum is +∞, which is not of interest.

E - the intercepts are (-4, 0) and (2, 0).

F - the vertex is (-1, -9). The solutions are the zeros or x-intercepts (generally), unless the question is asking specifically for the extreme value and where it is located. That is, the solutons to (x +1)^2 -9 = 0 will be -4 and 2.

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Pepsi [2]

Answer:

The height of right circular cone is h = 15.416 cm

Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: $s=\pi r\sqrt{r^2+h^2}$

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

$s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416$