d = 3 , a₁₂ = 40 and S
= 7775
In an arithmetic sequence the nth term and sum to n terms are
<h3>• a

= a₁ + (n-1)d</h3><h3>• S

=

[2a + (n-1)d]</h3><h3>
where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ =

[(2×7) +(99×3)</h3><h3> = 25(14 + 297) = 25(311)= 7775</h3>
Answer:
b = 55°
c = 35°
Step-by-step explanation:
b° = 180° - (85°+40°) = 180° - 125° = 55°
c° = 180° - (b°+90°) = 180° - (55°+90°) = 180° - 145° = 35°
Answer:
The coordinates of
are
and
.
Step-by-step explanation:
Let be
and
endpoints of segment AB and
a point located 7/10 the way from A to B. Vectorially, we get this formula:


By Linear Algebra we get the location of
:



If we know that
and
, then:




The coordinates of
are
and
.
Hi there! 9.125 * 10^-3 is definitely less than 9.125 * 10^2, because when it comes to negative powers of 10, the numbers are decimals. 10^-3 equals 0.001 or one thousandths in word form. 10^2 is 100. When solving for the answers. 0.009125 is less than 912.5. When 912.5 is divided by 0.009125 912.5 is 100^5 or 100,000 times greater than 0.009125. The answer is that 9.125 * 10^-3 is 100,000 (100^5) times less than 9.125 * 10^2.
Answer:
Jermey is not correct because abouslte value is always postive
Step-by-step explanation: