Axis of symmetry and vertex of F (x) = x2 + 4x -5

Answers

Answer 1

Answer: axis of symmetry is also the x coordinate of the vertex
if you have
f(x)=ax^2+bx+c
vertex x coordinate is
-b/2a
a=1
b=4
-4/2(1)=-4/2=-2
x coordinate of vertex=-2 aka axis of symmmetry
find y coordinate
input -2 for x
y=(-2)^2+4(-2)-5
y=4-8-5
y=-9

axis of symmetry is x=-2
vertex is (-2,-9)

Answer 2

Answer: r= -b/2a = -4/2=-2 k=f(r)=-2^2-8-5=-9 (-2,-9)

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On 4-7 how do you write the ratio and find the answer?

Answers

Basic trig concepts you have to keep in mind:
SOH CAH TOA
Sine: Opposite of the angle over the hypotenuse
Cosine: Adjacent over hypotenuse
Tangent: Opposite over adjacent
I'll do one of the problems, you should be able to do the rest (It's good practice ;))
$sin(L) = 12/15$

Can someone explain major and minor arcs in relation to circles.

Answers

A Major Arc within a circle is something that that is more than half of the circle, and therefore, larger than the minor arc. The way in which this could be used in an example is; Tony has a pizza with 8 slices, 6 of these slices are pepperoni and 2 are chilli beef. In this case, the pepperoni slices are the major arc and the chilli beef slices are the minor arc.
The Major Arc will always be bigger than the minor arc- whether this is 181 degrees to 179, or whether this is 350 degrees to 10 degrees.
The Minor Arc is always the smallest arc, and this can be explained by; Benedict has an apple pie that has 10 slices, between him and his friends, they have eaten four slices. In this case, they have eaten the 'minor arc'
There is a picture attached, and this is the examples of a major and a minor arc.
Hope this has been able to help you :)

PLEASE ANSWER ASAP! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

You need to know how to calculate the volume of a cylinder and how to calculate the volume of a cone. We know that the two things have the same height and they also have the same area for their base.

Let's say that the area of the base is x.

The volume of the cylinder = x * 30 (area of the base multiplied with the height)

The volume of the cone = x/3 * 30 (1/3 multiplied with the area of the base and the height)

This means that the cone has one third of the volume of the cylinder's. Therefore if I pour water from a full cone, I can fill the cylinder only to the third of its volume, and in this case, height. So the answer is 10 cm.

How does kinetic energy affect the stopping distance of a small vehicle compared to a large vehicle

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Kinetic energy is the energy of a moving body. Body with greater kinetic energy stops slower than a body with less kinetic energy.

Find the expression for the area of the figure. Give your answer as a simplified radical.

Answers

Answer:

Step-by-step explanation:

Area of rectangle= length × breadth

Area of figure

$= ( √(15x)) ( √(10x) ) \n = √((10x)(15x)) \n = \sqrt{150 {x}^(2) } \n = \sqrt{6(25 {x}^(2)) } \n = (√(6) )( \sqrt{( {5x})^(2) } ) \n = ( √(6) )(5x) \n = 5x √(6)$

5. Use inductive reasoning to find the next term in the sequence 0, 1, 1, 2, 3, 5, 8 … HELP PLEASE!!!

Answers

$0, 1, 1, 2, 3, 5, 8, ... \ (Fibonacci\ sequence)\n\na_1=0,\na_2=1\na_n=a_(n-1)+a_(n-2)\ \ \ \Rightarrow\ \ \ a_8=a_7+a_6=7+5=13$

the next three terms are 13,21,34

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