The quadratic equation in its generic form is:
ax2 + bx + c
To complete squares we must add the following term:
(b / 2) ^ 2
The equation is:
ax2 + bx + c + (b / 2) ^ 2
We have the following equation:
x ^ 2 - 5x + k = 7
By completing squares we have:
x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
Rewriting:
x ^ 2 - 5x + 6.25 = 7 + 6.25
Answer:
A constant term should be used to complete the square is:
6.25
Answer:
m x 4 = 12?
Answer is this is right, then m is 3.
Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is
the alternative hypothesis is
The test statistics is
The p-value is
so
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n= 38
The sample mean is
The standard deviation is
Generally the null hypothesis is
the alternative hypothesis is
Generally the test statistics is mathematically evaluated as
substituting values
The p-value is mathematically represented as
From the z- table
So
Answer:
x = 18
m<A = 166°
Step-by-step explanation:
The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.
7x + 40 = 3x + 112
4x = 72
x = 18
m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166
Answer:
1130.4 mm
Step-by-step explanation:
Given,
Radius ( r ) = 180 mm
To find : Circumference of the pulley ( C ) = ?
Formula : -
C = 2πr
Note : -
Value of π is 3.14
C = 2 x 3.14 x 180
C = 1130.4 mm