The 2 equations are classified as Identities because both sides remain the same for all values of z.
<h3>How to Classify Equations?</h3>
1) We are given the equation;
23z + 19 = 3(5z - 9) + 8z + 46
Let us try z = 0
23(0) + 19 = 3(5(0) - 9) + 8(0) + 46
19 = -27 + 46
19 = 19
Let us try z = 5;
23(5) + 19 = 3(5(5) - 9) + 8(5) + 46
134 = 48 + 40 + 46
134 = 134
Thus, this is an identity as both sides remaining the same for all values of z.
2) We are given the equation;
15y + 32 = 2(10y - 7) - 5y + 46
At y = 0, we have;
15(0) + 32 = 2(10(0) - 7) - 5(0) + 46
32 = -14 + 46
32 = 32
Let us try y = 2;
15(2) + 32 = 2(10(2) - 7) - 5(2) + 46
62 = 26 - 10 + 46
62 = 62
This is an identity as both sides remaining the same for all values of z.
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Answer:
y = - 
x + 
Step-by-step explanation:
The angle between the tangent and the radius at point P is 90°
Calculate the slope of the radius m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, 15)
m = 
= 
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + b ← is the partial equation
To find b substitute (8, 15) into the partial equation
15 = - 
+ b ⇒ b = 15 + =
y = - x + ← equation of tangent
Answer: 160.4040
Step-by-step explanation:
Here , the claim is "The standard deviation of pulse rates of adult males is more than 11 bpm." , i.e. 
We use Chi-square test statistic for the test statistic to test the standard deviations :
, where s= sample standard deviation , 
= population standard deviations and n = sample size.
As per given , n=153 , s= 11.3
Then, Required test statistic will be :
Hence, the value of the test statistic. = 160.4040
Step-by-step explanation:
3/4 of 12
3/4 × 12 = 9
6/7 of 49
6/7 × 49 = 42
2/3 × 27 = 18
3/8 x 16 = 6
Answer:
5,4,1,3,2
Step-by-step explanation:
There's no problem doing these out of order.
