Brian rides his bike 0.27 of a mile per minute. If it takes him 27 minutes to ride his bike to his friend's house, how far away
1 answer:
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Answer:
= 5n - 2
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 , then
a₁ + 3d = 18 , that is
3 + 3d = 18 ( subtract 3 from both sides )
3d = 15 (divide both sides by 3 )
d = 5
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule
Answer:
The area of the figure is 117m²
Step-by-step explanation:
In this problem, you have two shapes. One shape is a rectangle. The other shape is a triangle.
Area of a rectangle = b*h = 9*7 = 63
Area of a triangle = (b*h) =
Since there are two triangles, you will multiply the area of the one triangle in the figure by 2.
27*2 = 54
Now, you add up the areas!
54 + 63 = 117
So, the area of the figure is 117m²
Answer:
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
Step-by-step explanation:
we have
-----> First equation
-----> Second equation
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (1,7)
The ordered pair (7,19) lie on the first line, so is a solution of the first equation
see the attached figure
<u><em>Verify each statement</em></u>
case 1) The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true
The statement is true
case 2) The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true
The statement is false, because the ordered pair (7,19) not lie on the second line
case 3) The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false
The statement is true
case 4) The ordered pair (7, 19) is a solution to the system because it makes both equations true
The statement is false,because it makes only the first equation true
