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SVETLANKA909090 [29]
3 years ago
15

Find the gradient and y intercept of 3x+4y=5

Mathematics
1 answer:
noname [10]3 years ago
3 0

Answer:

gradient = - \frac{3}{4} , y- intercept = \frac{5}{4}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 4y = 5 ( subtract 3x from both sides )

4y = - 3x + 5 ( divide terms by 4 )

y = - \frac{3}{4} x + \frac{5}{4} ← in slope- intercept form

with slope m = - \frac{3}{4} and y- intercept c = \frac{5}{4}

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For what value is a is (a,9) a solution of the equation y=2x+1
yanalaym [24]

Answer:

a = 4

Step-by-step explanation:

y = 2x + 1 ......(1)

Going through y - y1 = m(x - x1)

m is slope and it is 2

y1 = 9 and x1 = a

y - 9 = 2(x - a)

y - 9 = 2x - 2a

y = 2x - 2a + 9 ........(2)

Equating (1) and (2)

2x + 1 = 2x - 2a + 9

Collecting like terms

2x - 2x + 2a = 9 - 1

2a = 8

a = 8/2

a = 4

7 0
3 years ago
Which is a solution for the equation y = 4x + 3?
yanalaym [24]
Point are set up (x,y) you sub the number for x into the equation and see if you get the number for y.
y=4x+3
y=4 (5)+3
y=20+3
y=23
so A isn't the answer

y=4 (17)+3
y=68+3
y=71
B isn't the answer

y=4 (4)+3
y=16+3
y=19
and because 4 is the x value for c and d and there can only be 1 y value for each x you're answer is C because when x=4 y =19 or (4,19)
3 0
3 years ago
The boy the apartment building is filling a pool 30 ft long 20 feet wide and 5 feet deep it has been filled 4 ft deep how many m
inn [45]
Capacity of the pool = 30 x 20 x  5 = 3000 ft³

Amount of water already filled = 30 x 20 x 4 = 2400 ft²

Amount of water needed to full the pool = 3000 - 2400 = 600 ft²


---------------------------------------------------------------------------------------
Answer: 600 ft² of water is needed to fill up the pool.
---------------------------------------------------------------------------------------
4 0
3 years ago
Read 2 more answers
Let f and g be two functions whose second derivatives are defined. Then (f · g) '' = f · g '' + f '' · g. true or false?
Marianna [84]
I hope this helps you

8 0
3 years ago
In a class of 25 students, 80% attended a field trip. How many students went on the field trip?
Dmitry_Shevchenko [17]

Answer:

20 Students :)

Step-by-step explanation:

6 0
3 years ago
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