Speed=slope=∆distance/∆time
Part1:
(20-60)/(1-0)=-40mph
Part2:
(0-20)/(3-1)=-20/2=-10mph
Point B of the Triangle = ( x+2)
Point C of the Triangle = ( 6x+10)
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
The 3 inside angles of a triangle need to equal 180 degrees.
Add the 3 angles together to equal 180:
X + x+2 + 6x +10 = 180
Simplify:
8x + 12 = 180
Subtract 12 from each side:
8x = 168
Divide each side by 8:
x = 168 / 8
X = 21
a) x = 21
b) C = 6x+10
replace x with 21:
6(21) + 10 =
126 +10 = 136
Answer:
x = 21 and C = 136°.
Step-by-step explanation:
(a) Sum of all the triangle = 180°.
∠A + ∠B + ∠C = 180°.
∠A= X, ∠B = x +2 , ∠C = 6x+10.
X + x + 2 + 6x + 10 = 180°.
8x + 12 = 180°.
8x = 168.
x = 21.
(b) The measure of angle C can be done by substituting the vale of x = 21.
6x + 10, x= 21.
=6 × 21 + 10
=136°.
Thus, the value of x = 21 and C = 136°.
Complete the sentence below. Choose the correct answer from the drop down menu.
The relationship between degrees Celsius and degrees Fahrenheit
.
Explain or show your reasoning.
Type your response or use the drawing space below.
The relationship between degrees Celsius and degrees Fahrenheit, as given by the equation F = 95C + 32, is not proportional.
The relationship between degrees Celsius and degrees Fahrenheit is not a proportional relationship.
In a proportional relationship, the ratio between the two variables remains constant. However, in the equation F = 95C + 32, the relationship between Celsius and Fahrenheit is not proportional because the coefficient of C is 95, indicating that the conversion between the two scales is not a simple multiplication or division by a constant value.
To illustrate this, consider two examples:
If we double the value of C, the equation becomes F = 95(2C) + 32 = 190C + 32. The coefficient of C changes, indicating that the relationship is not proportional.
If we set C = 0, the equation becomes F = 95(0) + 32 = 32. This shows that at 0 degrees Celsius, the Fahrenheit temperature is not zero, further demonstrating that the relationship is not proportional.
Therefore, the relationship between degrees Celsius and degrees Fahrenheit, as given by the equation F = 95C + 32, is not proportional.
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Answer:
No, there are no proportional relationships here.
Step-by-step explanation:
I think you mean F=(*C)+32
No, there is not. There is no proportional relationship because proportional relationships require multiplication and division only, not any extra additive numbers, else it would not be proportional. Evidence: If we turned this into a graph, like so: y=(*x)+32, then the slope would not pass through zero.
Answer:
x = -2
Step-by-step explanation:
Step 1: Write equation
7.2x = -14.4
Step 2: Divide both sides by 7.2
x = -2
Step 3: Check
Plug in x to verify it's a solution.
7.2(-2) = -14.4
-14.4 = -14.4
Answer:
x = -2
Step-by-step explanation:
The solution is y = (5x - 9) / 3
To solve the equation 5x - 3y = 9 for y, we need to isolate the variable y on one side of the equation.
Step 1: Move the term with y to the other side of the equation.
Subtract 5x from both sides of the equation:
5x - 3y - 5x = 9 - 5x
This simplifies to:
-3y = 9 - 5x
Step 2: Divide both sides by -3 to solve for y:
y = (9 - 5x) / -3
Therefore, the solution for y is:
y = (-9 + 5x) / 3
You can also express the solution as:
y = (5x - 9) / 3
Either form represents the solution for y in terms of x for the given equation.
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