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Aleksandr [31]
1 year ago
11

What is the component form of the vector from point A (-3, -7) to point B (-8, 1)?

Mathematics
1 answer:
KengaRu [80]1 year ago
8 0

Recall that the component form of a vector that goes from point (x,y) to point (v,w) is:

.

Therefore the component form of the vector that goes from point A to point B is:

.

Simplifying the above result we get:

\begin{gathered} , \\ . \end{gathered}

Answer:

.

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DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?
Dennis_Churaev [7]
<span>In two similar triangles, like the one we see above, the ratio of their areas is the square of the ratio of their sides. 

Based on the graph, we see that BD is 3 times larger than BA. This means that the area of DBE will be 3</span>² times larger, or 9 times larger, than the area of ABC.

Area of ABC = 3 square units
Area of DBE = 3 * 9 = 27 square units
Answer is A. 
5 0
3 years ago
What is the formula for the following geometric sequence?
Lelechka [254]

Answer:

Correct answer:  Third answer  aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

Step-by-step explanation:

Given:

-5, -10, -20, -40,.....

First term       a₁ = -5

Second term a₂ = -10

Third term     a₃ = -20

Common ratio or quotient

q = a₂ / a₁ = a₃ / a₂ = -10 / -5 = -20 / -10 = 2

q = 2

First term  a₁

Second term a₂ = a₁ · q = a₂ · q²

Third term     a₃ = a₂ · q = a₁ · q³

.....................................................

n-th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾

aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

God is with you!!!

8 0
3 years ago
Read 2 more answers
Duane bought 68 and3/4 inches of chain for an art project. How many 15 inches chains can he make from it
Katyanochek1 [597]
They could at least make 4 15 inches of chains
4 0
3 years ago
Please help me with this.
sergey [27]

Answer:

hexagon

Step-by-step explanation:

it has 6 sides making it a hexagon

8 0
3 years ago
Blue Ray's computer sales totaled $59,500 last month. She receives a commission rate of 15% on all sales. What commission did sh
LenaWriter [7]

Answer: $8,925

Step-by-step explanation:

Convert 15% to decimals. You can do this by dividing by 100.

\frac{15}{100}=0.15

Now, take the total amount of the sales and multiply it by this decimal.

59,500*0.15=8925

5 0
3 years ago
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