Answer:
x = 
Step-by-step explanation:
Given equation is,
ax + 3 = 23
To solve this equation for the value of x isolate the variable 'x' on the one side of the equation.
Step 1,
Subtract 3 from both the sides of the equation.
ax + 3 - 3 = 23 - 3
ax = 20
Step 2,
Divide the equation by a,
x =
Therefore, x = will be the answer.
<h3>
Answer: B. 781.6 feet approximately</h3>
=======================================================
Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
9.8 is the middle number which is the median
So we have the system of equations:
equation (1)
equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
in equation (2):
equation (3)
Replacing equation (3) in equation (1):
equation (4)
Replacing equation (4) in equation (3):
We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>
Answer:
In a geometric sequence, the <u>ratio</u> between consecutive terms is constant.
Step-by-step explanation:
A geometric sequence is where you get from one term to another by multiplying by the same value. This value is known as the <u>constant ratio</u>, or <u>common ratio</u>. An example of a geometric sequence and it's constant ratio would be the sequence 4, 16, 64, 256, . . ., in which you find the next term by multiplying the previous term by four. 4 × 4 = 16, 16 × 4 = 64, and so on. So, in this sequence the constant <em>ratio </em>would be four.
