Answer:
Step-by-step explanation:
Equation: y=mx+b
m is the gradient while b is the y-intercept
Let's first find the slope (also known as the gradient) by choosing two points.
The formula to find the slope is change in y divided by change in x.
So two points are: (-2,0) and (0,5)
Change in y: 5-0 (we use the y-coordinates)
Change in x: 0--2 (0+2) (we use the x-coordinates)
So: 5-0= 5 and 0+2= 2 which means 5 divided by 2
Slope= 5 over two
To find the y-intercept we need to see where the line crosses the y-axis which would be at (0,5)
So: y-intercept is 5 as that's where the line crosses the y-axis.
Equation now: y= 5 over 2x +5
Answer:
<h2>a = 400/21, b = 580/21</h2>
Step-by-step explanation:
Small triangles are similar. Therefore, the sides are proportional
<em>cross multiply</em>
<em>divide both sides by 21</em>

For b, we can use the Pythagorean theorem:

Answer:
18.2
Step-by-step explanation:
JK is the side perpendicular to the horizontal (JL) thus it is opposite to angle 55°. JL is the adjacent, therefore, we can use the trigonometric ratio Tangent to fins the adjacent.
Tan ∅= opposite/ adjacent
Adjacent = opposite/Tan ∅
Adjacent =26/ Tan 55°
=18.2
Given:
There are two consecutive odd integers such that the square of the first added to 3 times the second, is 24.
To find:
Part a: Define the variables.
Part b: Set up an equations that can be solved to find the integers.
Part c: Find the integers.
Solution:
Part a:
Let x be the first odd integers. Then next consecutive odd integer is
, because the difference between two consecutive odd integers is 2.
Part b:
Square of first odd integers = 
Three times of second odd integers = 
It is given that the sum of square of first odd integers and three times of second odd integers is 24. So, the required equation is:

Part c:
The equation is:

It can be written as:



Splitting the middle term, we get




-6 is not an odd integer, so
and the first odd integer is 3.
Second odd integer = 
= 
= 
Therefore, the two consecutive odd integers are 3 and 5.
Answer:
i want to say three
Step-by-step explanation: