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ch4aika [34]
3 years ago
8

Which set of numbers can represent the lengths of the sides

Mathematics
1 answer:
Anna11 [10]3 years ago
5 0

Answer:

C (4,7,10)

Step-by-step explanation:

For a set of numbers to represent the lengths of sides of triangle:

Sum of any two numbers must always be greater than than the third side.

out of the give options only C (4,7,10) follows the above condition.

4+7=11>  10\\7+10=17>  4\\10+4=14>7

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Solve the following system. x2 + y 2= 25 2x + y = 10 The solution set
anzhelika [568]

Answer: {(5,0), (3,4)}

Step-by-step explanation:

You can apply the Substitution method:

- Solve for y from the second equation.

- Substitute into the first equation and solve for x.

Then:

y=10-2x

x^2+y^2=25\\x^2+(10-2x)^2=25\\

(Remember that: (a\±b)^2=a^2\±2ab+b^2)

x^2+(10^2-2(10)(2x)+(2x)^2)=25\\x^2+100-40x+4x^2=25\\5x^2-40x+75=0\\x^2-8x+15=0\\(x-5)(x-3)=0\\\\x=5\\x=3

Substitute the values obtained into one of the original equation and solve for y:

2(5)+y=10\\10+y=10\\y=0\\\\2(3)+y=10\\6+y=10\\y=4

The solution set is: {(5,0), (3,4)}

8 0
3 years ago
A railroad crew can lay 5miles of track each day. They need to lay 135 miles of track. The length, l (in miles), that is left to
torisob [31]
What is the function
4 0
3 years ago
Which ordered pair in the form (x,y) is a solution of this equation? 7x-5=1
leva [86]
ANSWER

B. (-2,-3)

EXPLANATION

The given equation is

7x - 5y = 1

We want determine which of the ordered pairs is a solution to the given equation.

For point A(-3,-2)

7( - 3) - 5( - 2) = 1

- 21 + 7 = 1

This statement is false.

For option B(-2,-3)

We have

7( - 2) - 5( - 3) = 1

- 14 + 15 = 1


For option C(0,4)

We have

7(0) - 5(4)=1

0 - 20=1


For option D(4,0)

We have

7(4) - 5(0)=1

28 - 0=1

This statement is false.
8 0
4 years ago
For which pair of numbers is the greatest common factor 8
Sauron [17]
There are four sets of numbers with 8 as their greatest common factor:
12 and 24
16 and 24
4 and 16 and 
16 and 32
3 0
3 years ago
What is the gcf of 39 and 42
natulia [17]
The answer is 3 because it goes into 39 and 42 and 6 doesn't go into 39
3 0
4 years ago
Read 2 more answers
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