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Damm [24]
3 years ago
9

A line passes through the point (-4,6) and has a slope of 5/4

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

I will ASSUME you want an equation

In slope/intercept form it is

6 = (5/4)(-4) + b

b = 11

y = (5/4)x + 11

or in slope/point form is

(y - 6) = (5/4)(x + 4)

kondaur [170]3 years ago
5 0

Answer:

4y-5x-44=0

Step-by-step explanation:

It passes through one point with the formula being

y-y1=m(x-x1)

y-6=5/4(x-(-4))

y-6=5/4(x+4)

cross multiply

4(y-6)=5(x+4)

4y-24=5x+20

collect like terms

4y-5x=20+24

4y-5x=44

4y-5x-44=0

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Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
3 years ago
-2.8 repeating as a fraction
Marizza181 [45]
0.8888888 = 8/9
2.8888888 = 26/9
-2.888888 = -26/9
3 0
3 years ago
Parallel lines cut by transversal?..help?
vagabundo [1.1K]

Answer:

#1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the value of 2x + 8y when x = - 5 and Y = 6​
mestny [16]

i think the answer is -50 but im

not sure  

8 0
3 years ago
1) A basket of apples are given to a group of students. If 3 apples are given to each student, there will be 8 apples left. If 5
sattari [20]

Answer:

1) either 5 or 6 students in the group

2) 6 rooms are booked

Step-by-step explanation:

1) x students  

3x + 8 = apples

5 (x-1) + y (the one get less than 5 apples)

3x + 8 = 5 (x - 1) + y

3x + 8 = 5x - 5 + y

2x + y = 13

X       1       2      3      4      5      6

Y       11      9      7      5      3       1

because y < 5 so x = 5 or x = 6

2) x rooms are booked

4x + 20   total students

8 (x-1) + y (the students in room not full))

4x + 20 = 8 (x-1) + y

4x + 20 = 8x - 8 + y

4x + y = 28

X       1       2      3      4      5      6

Y       24    20    16    12     8      4

y < 8 answer is 6 rooms

4 0
3 years ago
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