150*30% = $45
$150-$45 = $105
Marco still owes his brother $105
Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
Answer:
16x^2 + 9x^2 + 9x + 13.
Step-by-step explanation:
6x^3 + 8x^2 – 2x + 4 +10x^3 + x^2 + 11x + 9
Bringing like terms together:
= 6x^3 + 10x^3 + 8x^2 + x^2 - 2x + 11x + 4 + 9
= 16x^2 + 9x^2 + 9x + 13. (answer).
Answer:
Option (4). Rhombus
Step-by-step explanation:
From the figure attached,
Distance AB = 
= 
= 
= 
Distance BC = 
= 
= 
Distance CD = 
= 
= 
Distance AD = 
= 
= 
Slope of AB (
) = 
= 
= 
Slope of BC (
) = 
= 
If AB and BC are perpendicular then,

But it's not true.
[
= -
]
It shows that the consecutive sides of the quadrilateral are not perpendicular.
Therefore, ABCD is neither square nor a rectangle.
Slope of diagonal BD =
= Not defined (parallel to y-axis)
Slope of diagonal AC =
= 0 [parallel to x-axis]
Therefore, both the diagonals AC and BD will be perpendicular.
And the quadrilateral formed by the given points will be a rhombus.