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jeyben [28]
3 years ago
5

Write an indirect proof. Given: 5x+7≥52 Prove: x≥9

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
Subtract 7 both sides
52-7=45
45 divide 5x = 9
X greater than 9 or equal 9
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Mari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.
Helen [10]

Answer:

ari is adding (-7) and (-2). She adds their absolute values and says the answer is 9.

What did Mari forget?

A

that is neither positive nor negative

B

to move left on the number line

С

to keep the sign of the larger integer

D

to keep the sign of the two integers being adde

Step-by-step explanation:

5 0
3 years ago
The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
kaheart [24]

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

1

​

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2

​

,y  

2

​

) in the ratio m:n, then  

(x,y)=(  

m+n

mx  

2

​

+nx  

1

​

 

​

,  

m+n

my  

2

​

+ny  

1

​

 

​

)

The vertices of the triangle are given to be (x  

1

​

,y  

1

​

),(x  

2

​

,y  

2

​

) and (x  

3

​

,y  

3

​

). Let these vertices be A,B and C respectively.  

Then the coordinates of the point P that divides AB in l:k will be

(  

l+k

lx  

2

​

+kx  

1

​

 

​

,  

l+k

ly  

2

​

+ky  

1

​

 

​

)

The coordinates of point which divides PC in m:k+l will be  

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

​

 

m+k+l

mx  

3

​

+(k+l)  

(l+k)

lx  

2

​

+kx  

1

​

 

​

 

​

,  

m+k+l

my  

3

​

+(k+l)  

(l+k)

ly  

2

​

+ky  

1

​

 

​

 

​

 

⎭

⎪

⎪

⎪

⎬

⎪

⎪

⎪

⎫

​

 

⇒(  

m+k+l

kx  

1

​

+lx  

2

​

+mx  

3

​

 

​

,  

m+k+l

ky  

1

​

+ly  

2

​

+my  

3

​

 

​

)

6 0
3 years ago
What is the AREA of this figure?
elena-14-01-66 [18.8K]

Answer:

532m squared is the answer

Step-by-step explanation:

Split the shape into two shapes

one will be a square and the other one a triangle

1) since the length and the width of the square is 18m just Multiply

18x18=324m squared

2) look carefully the width of the square you split is equal to the base of the triangle, so you connect the 18 and the 8 together.

18+8=26m squared

3) Now solve the triangle since you know the height which is 16m squared.

A=lw/2

26x16=416

416 divided by 2 is 208

4) finally just Add

208+324=532m squared

Hopes this helps!

7 0
4 years ago
What's the difference between -40ft and 3000ft
Vladimir79 [104]

Answer:

2960 ft.........is the difference between -40ft and 3000ft

3 0
3 years ago
Please what is the interquartile range ?
AleksAgata [21]

Answer:

3.

Step-by-step explanation:

15 - 12 = 3.

The ends of the box are the lower and upper quartiles.

The difference  upper - lower = the interquartile range.

6 0
3 years ago
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