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MrRa [10]
3 years ago
14

Solve the system of equations using the linear combination method. {9x+5y=35 2x+5y=0 Enter your answers in the boxes.

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0
9x+ 5y=35
2x + 5y=0    |* -1

9x +5y= 35
-2x  -5y= 0
-----------------
7x /  = 35
x=35:7
x=5

2x+5y=0
2*5+5y=0
10+5y=0
5y=-10
y= -10:5
y=-2
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If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle
SOVA2 [1]

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm

4 0
3 years ago
If $7500 is invested at an interest rate of 5% each year, what is the value of the investment in 4 years? Write an exponential f
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The answer is 9,116.3
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3 0
3 years ago
In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?
Advocard [28]

Answer:

161700 ways.

Step-by-step explanation:

The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

3 transistors from a set of 100. So

C_{100,3} = \frac{100!}{3!(100-3)!} = 161700

So 161700 ways.

6 0
3 years ago
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7 0
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6 0
3 years ago
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