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3 years ago

What is the solution |4x - 6|> 14

Mathematics

1 answer:

son4ous [18]3 years ago

8 0

Answer:

Step-by-step explanation:

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Locate the point on the line segment between A(3, -5) and B(13, -15) given that the point is 4/5 of the way from A to B. Show yo

SVETLANKA909090 [29]

Answer:

C ( 11 , -11 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

A ( 3 , -5 ) B ( 13 , -15 )

The point C lies on the line segment from A to B. The ratio of segment given is:

AC / AB = 4 / 5

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:

d = OB - OA

d = < 13 , -15 > - < 3 , -5 >

d = < 10 , -10 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:

< x , y > = OA + s*d

< x , y > = < 3, -5 > + s* < 10 , -10 >

The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.

So point C is 4/5 th the magnitude of the distance AB from A. Hence, s = 4/5 as follows:

< x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >

< x , y > = < 3 , -5 > + < 8 , -8 >

< x , y > = < 11 , -11 > ... Answer

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2 years ago

Helppppp can someone answer these questions please

Delvig [45]

Answer:

Can you please tell us your question? Thanks!stiona

Step-by-step explanation:

4 0

2 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

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2 years ago

What is f(x) =|x – 4| + 1 graphed.?

ollegr [7]

Answer:

i d k

Step-by-step explanation:

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2 years ago

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Customers at a gym pay a membership fee to join and

Anastaziya [24]

Answer:

Step-by-step explanation:

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2 years ago