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olga nikolaevna [1]
2 years ago
6

Point B has coordinates ​(1,2).The​ x-coordinate of point A -7 is . The distance between point A and point B is 10 units. What a

re the possible coordinates of point​ A?
Mathematics
1 answer:
Studentka2010 [4]2 years ago
8 0

Answer:

(-7,-6),(-7,6) are the possible coordinates of A

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The sum of a rational number and an even integer is rational. A) Always True B) Sometimes True C) Usually True D) Never True
SOVA2 [1]
I think that the sum will always be a rational number
let's prove that


<span>any rational number can be represented as a/b where a and b are integers and b≠0

</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....

<span>so, 2 rational numbers can be represented as

</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)

their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd

1. the numerator and denominator will be integers
2. that the denominator does not equal 0

alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer

now the denominator
that is just a product of 2 integers so it is an integer


<span>2. we originally defined that b≠0 and d≠0 so we're good

</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
6 0
3 years ago
A rectangle length was 4 feet longer than triple the length of it width
wlad13 [49]
Length is 48 ft

The perimeter of a rectangle is equal to the sum of all side’s.
2(lengths)+2(widths)= perimeter
Length=3x+4
Now given the perimeter of 140
3(3x+4)+3(x)=140
9x+12+3x=140
12x+12=140
12x=128
X= 10.7
10.7 is the width

Length=3x+4
Length =3(10.6)+4
Length=31.8+4
Length=35.8
Answer = 35.8
This can only be answered if you were given a perimeter.
4 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPP
OverLord2011 [107]

Answer:

11

Step-by-step explanation:

1st plug in the given numbers for each variable (the letters)

4 x 6 ÷ 3 + 3 =

Next, use the order of operations to solve the expression.

4 x 6 ÷ 3 + 3 =

24 ÷ 3 + 3 =

8 + 3 = 11

7 0
3 years ago
Read 2 more answers
Determine the measure of x, to the nearest tenth of a degree.
Masteriza [31]

Answer:

About 73 degrees

Step-by-step explanation:

By the law of cosines:

26^2=11^2+27^2-2(11)(27)\cos(x) \\\\\\676=121+729-594\cos(x) \\\\\\-174=-594\cos(x) \\\\\\\cos(x)= 0.\overline{29} \\\\\\x\approx 73.0^{\circ}

Hope this helps!

4 0
3 years ago
Read 2 more answers
In the figure below, XZ =DF and _X = D.
yuradex [85]

Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements                               Reasons

1). XZ ≅ DF                                 1). Given

2). ∠X ≅ ∠ D                              2). Given

3). XY ≅ DE                                3). Required information

4). ΔXYZ ≅ ΔDEF                      4). By SAS property of congruence

Therefore, Option (4) will be the answer.

4 0
3 years ago
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