Answer:
AC = 18.1 cm
Step-by-step explanation:
Construct a line from point B perpendicular to the line AD and mark it as E on line AD. Now you have a right triangle ABE with AB = 16 cm and AE = AD - BC
so AE = 11 cm - 4 cm = 7 cm
You can find BE by using Pythagorean theorem
BE^2 = AB^2 - AE^2
BE^2 = 16^2 - 7^2
BE^2 = 256 - 49
BE^2 = 207
BE = 14.4 cm
Draw a line from A to C, you have a right triangle ACD with AD = 11cm and CD = BE = 14.4 cm
Using Pythagorean theorem
AC^2 = AD^2 + CD^2
AC^2 = 11^2 + 207
AC^2 = 121 + 207
AC^2 = 328
AC = 18.1 cm
(-p + 2) * 8 + 10
Distribute 8 inside the parentheses.
-8p + 16 + 10
Combine like terms.
-8p + 26
Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
1/2(8x - 4) = 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 1/2: 4x - 2 = 2x
- [Subtraction Property of Equality] Subtract 2x on both sides: 2x - 2 = 0
- [Addition Property of Equality] Add 2 on both sides: 2x = 2
- [Division Property of Equality] Divide 2 on both sides: x = 1
Answer:
7. y
=
−
1
/2
x + 4
8. y= (0,4)
Step-by-step explanation:
7. the slope is -1/2 and the y intercept is 4
8. so basically, the y intercept is when y is zero, which makes this one (0,4)
HOPE THIS HELPS HAVE A GREAT DAY!!! IM procrastinating chem doing this lolz
Answer:
1. True
2. False.
3. True.
Step-by-step explanation:
1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).
<em>Hence, for continuous probability distribution: probability = area</em>.
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.
<em>Hence, it cannot be computed. </em>
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.
<em>Hence, it can be computed. </em>
