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Maksim231197 [3]
3 years ago
10

How can a solution to a system of linear equations be determined exactly by graphing?

Mathematics
1 answer:
givi [52]3 years ago
5 0
A solution something something and that’s the answer
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Complete the square on the following quadratic x2+10x+9=0
kakasveta [241]
Given a quadratic equation x^{2} +ax+c=0

1. the first thing we do when we want to compete the square, is write the coefficient of x as 2 times a number.

In our case the coefficient of x is 10, so we write 10 as 2*5

2. then we write + 5^{2} and - 5^{2} to the expression:

x^{2} +2*5*x+ 5^{2} -5^{2}+9=0

(x^{2} +2*5*x+ 5^{2}) -25+9=0

(x+5)^{2}-16=0



Answer: (x+5)^{2}-16=0
8 0
3 years ago
the times in seconds it took 6 finalists to run a 100 meter dash are 12.5 12.4 12.4 12.3 12.6 and 12.4. mr brown picks out the t
yulyashka [42]

Answer:

The times in seconds it took 6 finalists to run a 100 meter dash are 12.5 12.4 12.4 12.3 12.6 and 12.4. Mr. Brown picks out the time that appears the most to find the <u>mode</u> he arranges the times in increasing order and picks the middle value to find the <u>median</u>

3 0
3 years ago
Read 2 more answers
One of the ancient stone pyramids in Egypt has a square base that measures 140 m on each side. The height is 96 m. What is the v
miv72 [106K]

Volume of a pyramid = \frac{1}{3}*base*height

Given base is = 140 m

Given height is = 96 m

Volume = \frac{1}{3}\times140\times96=4480

Hence, volume of pyramid is 4480 m³

4 0
3 years ago
Find the probability of landing on an even number when spinning the spinner below.
Mariulka [41]

Answer:

There are 8 numbers.

4 of the numbers are even ( 2, 4, 6, 8)


The probability is the number of even numbers over the total numbers:


4/8 which reduces to 1/2.


The answer is 1/2



3 0
3 years ago
The rectangle shown has a perimeter of 146 cm and the given area. Its length is 7 more than five times its width. Write and solv
dangina [55]

Answer:

System of equations:

L = 5W + 7

2W + 2L = P

L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.  

The formula for perimeter of a rectangle is:  2W + 2L = P, where W = width and L = length.  We also know that the L is '7 more than five times its width'.  This can be written as:  L = 5W + 7.  Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

Distribute:  2W + 10W + 14 = 146

Combine like terms:  12W + 14 = 146

Subtract 14 from both sides:  12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides:  12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L':  L = 5(11) + 7 or L = 55 + 7 = 62.

5 0
3 years ago
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