when it tells you what R is then you show a number line with -4 less then R
Check the pictures below.
if we knew the roots/solutions of the equation, we can set h(s) = 0 and solve for "s" to find out how many seconds is it when the height is 0.
if you notice in the first picture, when f(x) = 0, is when the parabola hits a root/solution or the ground, for David he'll be hitting the water surface, and the equation that has both of those roots/solutions conspicuous is
h(s) = -4.9(s - 2)(s + 1).
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
Solve the term is parenthesis
x=24 years
Andrew's age is
Andrew is 26 years old
The difference between these temperatures for the sunset is found as 11 degrees.
<h3>What is temperature difference?</h3>
In science, the term Delta T (ΔT) refers to the temperature between two measuring points. The temperature varies according to time and/or location.
Some key features regarding the temperature difference are-
- Merus, for example, uses it to assess the effectiveness of such a heat exchanger.
- Or to evaluate the effectiveness of a heating or cooling system.
- A fourth letter of a Greek alphabet is, (Δ). Whereas is the capital letter symbol and the lower case letter.
- The sign is also used in mathematics. Describes the "difference" between any two changeable quantities. T is a value in a process that represents a difference between two observed temperatures.
Now, according to the question;
Let the initial temperature be 'T' = 4 degrees.
Let the final temperature be 't' = -7 degrees.
Therefore, the temperature difference is;
ΔT = T - t
= 4 - (-7)
= 4 + 7
ΔT = 11
Therefore, the difference between these temperatures is 11 degrees.
To know more about the temperature difference, here
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There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
