Answer:
for the first one, x + 3 * y = 5
and the second equation, x - y = 5
Step-by-step explanation:
the sum of two numbers means for example the sum of 5 and 8 is 13, so as an equation that is 5 + 8 = 13
the difference is the same thing as the sum but it's subtraction.
and then times is just multiplication.
Answer:
15 days
Step-by-step explanation:
Well, as you would be able to tell, you just have to find the LCM of 3 and 5. These do not have one before 3 x 5, so it is 15.
Answer:
4.05 dollars
Step-by-step explanation:
4 dollars and 5 cents. 15 percent of 27 is 4.05
The coordinate of point D will be ( -0.5, 0.25 ).
<h3>
What is coordinate geometry?</h3>
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that point, D is 1/n of the way from C(−2.5, 1.25) to E(5, 15), and the value of n = 5.
The coordinates of point D will be:-
D = ( 1 / n ) C
D = ( 1 / n ) ( -2.5 , 1.25 )
D = ( 1 / 5 ) ( -2.5 , 1.25 )
D = ( -0.5 , 0.25 )
Therefore, the coordinate of point D will be ( -0.5, 0.25 ).
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Answer:
a) OA = 1 unit
b) OB = 3 units
c) AB = √10 units
Step-by-step explanation:
<u>Given function</u>:
<h3><u>Part (a)</u></h3>
Point A is the y-intercept of the exponential curve (so when x = 0).
To find the y-value of Point A, substitute x = 0 into the function:
Therefore, A (0, 1) so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If BC = 8 units then the y-value of Point C is 8.
The find the x-value of Point C, set the function to 8 and solve for x:
Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.
<h3><u>Part (c)</u></h3>
From parts (a) and (b):
To find the length of AB, use the distance between two points formula:
Therefore:
