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Igoryamba
3 years ago
13

Write an equation of the line that passes through the given points. (0,−3),(3,3)

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0
I find it easiest to use slope-intercept form, or y=mx+b, to do this.

First, find the slope. 6/3 = 2/1 = 2. m = 2.

Next, find the y-intercept. In this case they gave it to you directly. b = -3.

So, the equation would be y = 2x - 3.
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Prove that if a, b ∈ n, then the supremum i.e. the least upper bound of {a, b} is the lcm(a, b).
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6 0
3 years ago
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
3 years ago
benjamin has a mask collection. he keeps 144 masks on the wall which is 48% of his collection. what is the total number of mask
Mekhanik [1.2K]

Answer:

Banjamin has 300 masks total.

6 0
3 years ago
Read 2 more answers
Explain how to write the number that is 0.02 less than 1.423
Katyanochek1 [597]
Less than means subtract. So, 0.02 less than 1.423 is 1.423 - 0.02 which equals >>> 1.403
6 0
3 years ago
A dress is on sale for 15% discount, meaning 85% of the price remains. If the sale price of the dress is $51, then the original
ira [324]

Answer:

Step-by-step explanation:

let the original price=x

85 % of x=51

x=51*\frac{100}{85} =60

5 0
3 years ago
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