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aliina [53]
2 years ago
11

Find the 16th term in the geometric series where the first term is 6 and the common ratio is 2.

Mathematics
1 answer:
deff fn [24]2 years ago
5 0

Answer: The first term of a GP is 6 if it's common ratio is 2 find the 6th term

The nth term is ar^(n-1)

So, for your GP, the 6th term is 6*2^5 = ___

Step-by-step explanation: 10:2021

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Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
2 years ago
What is the product? Express the answer in lowest terms. two and three-fourths times one-half
neonofarm [45]

Answer:

11/8 OR 1 3/8

Step-by-step explanation:

4 0
3 years ago
What value of A in this equation y=(9A-7)x would give a line with the slope -5?
Rainbow [258]

0, I put y=(0-7)x into a graphing calculator

5 0
3 years ago
There are 4 times as many used cars in the car dealership lot as there as new cars. There are 120 cars total in the dealership l
jarptica [38.1K]

Answer:

120÷5=24 / 24×4=96 / 96+24=120

Step-by-step explanation:

3 0
2 years ago
Sorry I only have a few more its a 15 question test<br><br><br> 1,368.5 × 10.8
USPshnik [31]
The answer is 14779.8
3 0
3 years ago
Read 2 more answers
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