Answer:
The sum of 8 geometric sequence is 959780
Step-by-step explanation:
We are given
this sequence is geometric
-4 , 24 , -144
First term is -4
so, 
now, we can find common ratio
we can use formula
n=8
now, we can plug values
now, we can simplify it
and we get
1.( 2x ) ( 10x ) = 20 x²
2. -3m( m + 8 ) = -3m² - 24m
3. 4d( 2d -9 ) = 8d² - 36d
4. ( 3x + 4 ) ( x -2 ) = 3x² - 6x + 4x - 8 = 3x² - 2x -8
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5. ( 2y -1 ) ( 4y - 3 ) = 8y</span>² - 6y - 4y + 3 = 8y² -10y +3
Answer:
Step-by-step explanation:
The slope formula is used to calculate the slope if you are given two points. Remember that slope is defined as rise/run. Which translates to the rise divided by the run. The slope formula will allow us to take the change in the rise and divide by the change in the run.
Answer:
B
Step-by-step explanation:
Solve each inequality separately
2x + 3 ≥ 7 ( subtract 3 from both sides )
2x ≥ 4 ( divide both sides by 2 )
x ≥ 2
or
2x + 9 > 11 ( subtract 9 from both sides )
2x > 2 ( divide both sides by 2 )
x > 1
x ≥ 2 satisfies the condition for both inequalities
Thus x ≥ 2 is the solution
Answer:
see explanation
Step-by-step explanation:
The 4 sides of a rhombus are congruent.
(i)
2y + x - 4 = 2x - y ( subtract 2x - y from both sides )
3y - x - 4 = 0 ( add 4 to both sides )
3y - x = 4 → (1)
and
= 2x - y ( multiply both sides by 2 to clear the fraction )
4x - 3y + 5 = 4x - 2y ( subtract 4x - 2y from both sides )
- y + 5 = 0 ( subtract 5 from both sides )
- y = - 5 ( multiply both sides by - 1 )
y = 5
substitute y = 5 into (1)
3(5) - x = 4
15 - x = 4 ( subtract 15 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
(ii)
then
2x - y = 2(11) - 5 = 22 - 5 = 17
perimeter = 4 × 17 = 68 cm
