X² - 21x + 110
first you break it up into two parenthesis & since x is squared you need two x's
since 110 is positive and 21 is negitive, both of your signs need to be negitive
(x - ?)(x - ?)
then you need to think! what are the factors of 110?
Which of these factors add up to 21? those factors go in the parenthesis
Does this Help? Let me know if you need anything!
This question wants to know the domain. For example: (2,4) 2 is the domain and 4 is the range.
Then, they want you to solve by finding X the range when x =-1
x-4/x^2+5x-36
Put -1 everytime you see x
-1-4/-1^2+5(-1)-36
-5/1+(-6)-36
-5/-41 This is the range.
Answer:
y = 1/2 x²
Step-by-step explanation:
The coefficient of the first term in a quadratic, in our case here, x², will tell us how the graph stretches. This is akin to the slope within the linear graph. Similar to the slope, the smaller the coefficient value, or value of slope m, the shallower the angle.
When discussing quadratics, the larger the coefficient of our x² term, the steeper, and skinnier the graph. If we want to look for a graph that is wider than y = 2x², then we need to find a graph with a coefficient that is less than 2.
Our only option then is
y = 1/2 x²
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
Substituting figures, we have:
Let's make h subject of the formula.
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer:
A. Both rotational and reflectional.
Step-by-step explanation:
We have been given an image of a regular polygon. We are asked to determine type(s) of symmetry for our given polygon.
Upon looking at our given polygon, we can see that it is a pentagon.
We know that a regular pentagon has five equal sides and five lines of symmetry.
We can see that each line of symmetry divides pentagon into two mirror images, therefore, our given pentagon has reflectional symmetry.
We know that the regular polygon has a rotational symmetry. We can find rotational symmetry of a regular polygon by multiplying 360 degrees by number of sides.
Therefore, a regular pentagon has rotational symmetry.