The y intercept is what we get when x=0, so in this case it's
Answer: y=0
Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
Answer:
no
Step-by-step explanation:
To be a function, the x values must correspond to one and only one y value.
In the coordinates given, (0.3, 0.6) and (0.3, 0.7) have the same x- value.
That means that they cannot be a function.
Answer:
(12, -6)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x = y - 42
x = 18 + y
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: -4(18 + y) = y - 42
- Distribute -4: -72 - 4y = y - 42
- [Addition Property of Equality] Add 4y on both sides: -72 = 5y - 42
- [Addition Property of Equality] Add 42 on both sides: -30 = 5y
- [Division Property of Equality] Divide 5 on both sides: -6 = y
- Rewrite/Rearrange: y = -6
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = 18 + y
- Substitute in <em>y</em>: x = 18 - 6
- Subtract: x = 12
Answer:
Yes, it is a matched pairs design.
Step-by-step explanation:
Assuming that the twins used in the experiment are identical, this can be treated as a matched pairs designed. Although there are two individuals receiving different treatments, they are genetically similar enough for this to be considered a matched pairs design (One individual subjected to two different treatments).