If you were to line them all up:
number of desks* how long it measures = total measurement
28*26.17
=<span>732.76 inches
</span>
The system of linear equations x + y = 35 and y = 4x represents the two numbers
<u>Solution:</u>
Given that, The sum of two numbers is 35
The second number, y, is equal to 4 times the first number "x"
We have to find which system of linear equations represent the two numbers? We have two conditions for two variables, so we can obtain two equations, which means a system of equations.
Now, 1st condition ⇒ sum of two numbers is 35 ⇒ x + y = 35
And, 2nd condition ⇒ second number is 4 times the first number ⇒ y = 4x
Hence, the equations, x + y = 35 and y = 4x represents the given numbers.
Answer:
1153.5 miles (first answer choice)
Step-by-step explanation:
'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise'). Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:
d = √(1000² + 575²) = 1153.5 miles (first answer choice)
Answer:
C = 11.18 D= 20
Step-by-step explanation:
Let's start with C
Square root both areas of the squares


Then use the Pythagoras Theorem: 

= C
Moving on to D
Square root both areas of the squares


29 is the hypotenuse, we are trying to find the other leg, so:

= D
Answer: 
Step-by-step explanation:
Since the general quadratic equation is,

Here the given table is,
x 1 2 3 4 5 6 7
y 5.9 8.9 13.4 20.1 30.1 45.1 67.7
By the graphing calculator,
a = 1.87024 ≈ 1.87
b= -5.15833 ≈ -5.15
c = 10.5429 ≈ 10.54
By putting the values of a, b and c,
The required quadratic equation is,

⇒ First Option is correct.