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Aliun [14]
2 years ago
7

What is the equation of the line that passes through the point (3,2) and has a slope pf -5/3

Mathematics
1 answer:
andrew11 [14]2 years ago
4 0

Answer:

y=-5/3x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-5/3(x-3)

y=-5/3x+15/3+2

y=-5/3x+5+2

y=-5/3x+7

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If the area of the rectangle shown is given by the expression 3x2 + 72 - 6and the width is (a + 3), which of the
aleksandr82 [10.1K]

Answer:

3x - 2.

Step-by-step explanation:

The length = area / width.

The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)

so the length =  (3x - 2 )(x + 3 ) / x + 3

= 3x - 2.

4 0
3 years ago
Lela and Pepe are playing a video game. The ratio of Lela’s game score to Pepe's score is 2 : 5. Then Lela completes a quest and
Fed [463]

Answer:        Lela's original score was 16.

Step-by-step explanation:

Alright lets get started.

Suppose Lela score was L.

Suppose Pepe score was  P.

The ratio of Lela’s game score to Pepe's score is 2:5

So the equation will be

\frac{L}{P} = \frac{2}{5}

Cross multiplying

5\times L=2\times P

P=\frac{5\times L}{2}.................equation 1

Then Lela completes a quest and scores 12 bonus points. The new ratio becomes 7:10

\frac{L+12}{P} =\frac{7}{10}

Cross multiplying

10(L+12)=7P

Plugging value of P from equation 1

10(L+12)= 7\times\frac{5L}{2}

20L+240=35L

15L=240

L=16

Hence the score of Leela originally was 16.                Answer

5 0
3 years ago
7)
Llana [10]

Answer:

Step-by-step explanation:

If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;

21, (21+12), (21+12+12), ...

<em>21, 33, 45...</em>

a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.

The nth term of an arithmetic sequence is expressed as T_n = a + (n-1)d

a is the first term = 21

d is the common difference = 33-21 = 45-33 = 12

n is the number of terms

Substituting the given parameters into the formula;

T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n

<em>Hence the equation for the nth floor of the tower is expressed as </em>T_n = 9+12n<em></em>

<em></em>

b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft

<em>Hence the height of the 65th floor is 789feets.</em>

4 0
2 years ago
The quotient of a number and -9 increased by 10.3 is 11.3. What is the equation?
Zepler [3.9K]

Answer:

x/-9+10.3=11.3

Step-by-step explanation:

5 0
2 years ago
Please explain why the answer you got is correct, because i need it
geniusboy [140]

Answer:

108

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

721×32

Applying the fractions formula for multiplication,

=72×31×2

=2162

Simplifying 216/2, the answer is

=108

4 0
3 years ago
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