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guapka [62]
4 years ago
7

HELP!!! Which of the following sequences has a common ratio?

Mathematics
1 answer:
Otrada [13]4 years ago
7 0
12, 4, 4/3 has a common ratio.
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What is the area of a triangle with vertices at (-4,1), (-7,5) and (0,1)
Arlecino [84]

Answer:

62.1467 square units (correct to four decimal places)

Step-by-step explanation:

Let's say the triangle is;

A(-7,5)

B(-4,1)

C(0,1)

Let's say also that AB = a , BC = b  and AC = c

By measurement BC = 4 units , AB = 5 units (applying Pythagorean theorem) and AC = 8.1 units (correct to one decimal place) also through Pythagorean theorem.

Area of this triangle = \sqrt{p(p-a)(p-b)(p-c)} , where p is half the perimeter of the triangle

p = \frac{1}{2}(4 + 8 + 8.1) = 8.55 units

Area = \sqrt{8.55(8.55-5)(8.55-4)(8.55-8.1)} = 62.1467 square units (correct to four decimal places)

4 0
3 years ago
The product of (a + b)(a − b) is a2 − b2. (1 point) Sometimes Always Never
jenyasd209 [6]
ANSWER

\boxed{Always}
EXPLANATION


The given product is

( a - b)(a + b)

This is always equal to

{a}^{2}  -  {b}^{2}


The identity

( a - b)(a + b) =  {a}^{2}  -  {b}^{2}


is called difference of two squares.


We can verify this by simply expanding the brackets using the distributive property to obtain,


( a - b)(a + b) =  a(a + b) - b(a + b)



( a - b)(a + b) =  {a}^{2}   + ab - ab-  {b}^{2}

This simplifies to

( a - b)(a + b) =  {a}^{2}  -  {b}^{2}
6 0
3 years ago
Read 2 more answers
What is the definition of consensus
quester [9]
A consensus can mean two things.
It could be a general agreement of a group, or it could be a majority of opinion.

:D
7 0
3 years ago
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Item 4
enyata [817]

Answer:

D. 4

Step-by-step explanation:

7 0
3 years ago
Heeeeeeeeeeeeeeeellllllllpppppppp
rosijanka [135]

Answer:

Answer (a):

distance traveled per revolution = 1.5 feet

Answer (b):

slope = 1.5 feet per revolution

Step-by-step explanation:

We have been given a graph which shows number of revolutions v/s distance traveled in feet.

Answer (a):

Now we need to find about how far does Miguel travel per revolution. That means find distance traveled in 1 revolution.

From graph we see that 10 revolution corresponds to 15 feet.

then 1 revolution = 15/10 = 1.5 feet

hence final answer is 1.5 feet.

Answer (b):

slope means [change in y-value] / [change in x-value]

From graph we see that 10 revolution corresponds to 15 feet.

then slope = 15/10 = 1.5 feet per revolution

3 0
3 years ago
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