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serg [7]
3 years ago
13

Write the equation of the line that passes through the points (4,-6) and (-2,3)

Mathematics
1 answer:
yarga [219]3 years ago
7 0

Here is your answer and an explanation

Answer: y = -2/3x

Explanation:

This can be determined by calculating the gradient of the straight line, using:

m=ΔyΔx

=−6−34−(−2)

=−96

=−32

Then we use the slope-point form of the straight line:

y−y1=m(x−x1)

to give:

y−3=−32(x−(−2))

∴y−3=−32(x+2)

∴y−3=−32x−3

∴y=−32x

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The domain of discourse is sets. Suppose some predicate Q is true for all elemenst of A: ∀a ∈ A Q(a). Recall the definition of s
Sloan [31]

Answer:

See the step-by-step explanation

Step-by-step explanation:

Let c be any element of C. (I'm not sure wether you have to assume that C is non-empt or not)

C is a subset of B. That means that as c is  in C, it is also in B. (c \in C \Rightarrow  c \in B)

Now, B is a subset of A. It follows that as c \in B \Rightarrow c \in A.

That means c is an element of A. The predicate Q is true for all elements of A, including c.

Because we let c be any element of C, we have proven that the predicate Q is true for all elements in C.

5 0
3 years ago
Tennis star Rafael Nadal lost at the Australian Open. How many Grand Slams has he won?
cluponka [151]

Answer:

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4 0
3 years ago
Plz help asap thank you​
attashe74 [19]

Answer:

Solved using the <u>Exterior angle theorem</u>.

2x-5+x-17 = 128

3x-22 = 128

3x = 150

x = 50

8 0
3 years ago
The radius of a circle is 7 mm. What is the area.
Solnce55 [7]

Answer:

A= 153.94 mm

Step-by-step explanation:

A = πr²

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7 0
2 years ago
Find the value of x<br>9.10.12,x, 20.25 ; The median is 14.​
Elodia [21]

Answer: 16  

Step-by-step explanation:

9,10,12,x ,20, 25  so we know the median is 14 which is the middle number.

Since the numbers are 6 it means there will be 2 middle numbers and if you divide them it will be 14.

we know one of the middle numbers is 12 and we trying to find x .

So we could use the equation x  + 12 = 2(14)

                                                  x + 12 = 28

                                                     -12   -12  

                                                x= 16  so X is 16.       check:  16+12=28/2 is 14.

6 0
3 years ago
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