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k0ka [10]
1 year ago
15

Find the equation of the straight line with the following gradient point c) 5, (-1,-3)​

Mathematics
1 answer:
uranmaximum [27]1 year ago
4 0

Answer:

y = 5x + 2

Step-by-step explanation:

Standard form of Equation of line: y = mx + c

where m = slope or gradient,

c = y-intercept

From the question we know that:

x = - 1

y = - 3

m = 5

We will substitute these values into the equation to find c.

- 3 = (5)(- 1) + c

- 3 = - 5 + c

c = - 3 + 5 = 2

Therefore the equation of this line is: y = 5x + 2

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A rectangle has a perimeter of 200m. The length to width ratio is 3:2. Find the LENGTH
Lapatulllka [165]

Answer:

length = 60m

Step-by-step explanation:

let '3x' = length

let '2x' = width

3x + 3x + 2x + 2x = 200

10x = 200

x = 20

length = 3x = 3(20) = 60

4 0
3 years ago
The diagonals of a quadrilateral QRST intersect at P(-1,3). QRST has vertices at Q(3,6) and R(-4,5). What must be the coordinate
erica [24]

S = (-5,0)

T = (2,1)

Step-by-step explanation:

Step 1 :

Given

Q = (3,6) and R = (-4,5). P = (-1,3)

Let S be (a,b) and T be (c,d)

The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.

Step 2 :

P is the midpoint  of QS

So we have (3+a) ÷ 2 =  -1  and (6 + b) ÷ 2 = 3

=> 3 + a = -2    and 6 + b = 6

=> a = -5  and b =0

So S should be (-5,0)

Step 3 :

P is the midpoint  of RT

So we have (-4+c) ÷ 2 =  -1  and (5 + d) ÷ 2 = 3

=> -4+ c = -2    and 5 + d = 6

=> c = 2  and d =1

So T should be (2,1)

Step 4 :

Answer :

S = (-5,0)

T = (2,1)

6 0
3 years ago
What is 1 5/8 +4 7/8 show work
Anon25 [30]
Take the mixed number apart and have a whole number and a fraction
1+4 and 5/8 + 7/8
1+4=5
5/8 + 7/8 = 12/8
12/8 = 1 4/8
Add 5 to 1 4/8 
5 + 1 4/8 = 6 4/8
1 5/8 + 4 7/8 = 6 4/8
In simplest term, the answer is also 6 1/2
-------------------------------------------------
Another way to solve it is by turning both 1 5/8 and 4 7/8 into improper fractions.
1 5/8 = 13/8
4 7/8 = 39/8
Add them.
13/8 + 39/8 = 52/8
Turn 52/8 into a mixed number.
52/8 = 6 4/8
Simplify it to get 6 1/2.
6 0
3 years ago
Solve the equation for all values of x by completing the square.<br> 3x^2-60x+255=0
erik [133]

Answer:

x=5 and x=15

Step-by-step explanation:

3x^2-60x+225=0

3x^2-60x+225/3=0/3

x^2-20x+75=0

x^2-5x-15x+75=0

x(x-5)-15(x-5)=0

(x-5)(x-15)=0

x-5=0 x-15=0

x=5 x=15

4 0
3 years ago
A paper drinking cup in the shape of a cone has a height
zhenek [66]

Answer:

I am pretty sure it is 53cm.

Step-by-step explanation:

If it were in a cylinder shape 10 x 8 is 80 but is is in the shape of a cone so the volume lessens so it can't be 80cm or 160cm. 27cm is a bit to low so that is why I am 90% sure it is 53cm.

3 0
3 years ago
Read 2 more answers
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