Answer:
4600
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4
This indicates the sequence is arithmetic with sum to n terms
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 6 and d = 4 , thus
= 
[ (2 × - 6) + (49 × 4) ]
= 25(- 12 + 196)
= 25 × 184
= 4600
Answer:
y = 64
Step-by-step explanation:
To get rid of the 8 in the denominator, you need to do the opposite of the expression. So opposite of division is multiplication. My multiplying each side by 8, you can get rid of the 8 in the denominator. Because if you divide 8 by 8 it is 1.
y = 64
Answer:
<h2><u><em>
8.17</em></u></h2>
Step-by-step explanation:
- <em>What is the number between 8.1 and 8.24?</em>
<em></em>
<em>Add the numbers and divide by 2 and you will find the average</em>
(8.1 + 8.24) : 2 =
8.17
8.17 is exactly half way between them.
A parallelogram's definition is a quadrilateral with two sets of parallel lines. This means lines MA and TH are parallel, and AT and MH are parallel. MA's slope is (2-(-3)/(-4-(-1)), or -5/3. TH's slope is (3-8)/(9-6) or -5/3 too. This means they are parallel, as they have the same slope. Do the same with AT and MH, and you get their slopes as 3/5 and 3/5. This means that the whole shape is a quadrilateral.
For the 2nd part, rectangles have sides that meet at right angles, which means that they are perpendicular, and perpendicular lines have slopes that are the negative reciprocals of each other. -5/3 and 3/5 are negative reciprocals of each other, so therefore it is a rectangle.
Acute has an angle under 90 degrees while Obtuse has an angle OVER 90 degrees. A triangle has to have three sides that equal up to 36 degrees,
Simple.
