Answer/Step-by-step explanation:
Statement 1: 
Reason 1: Given
Statement 2: <A ≅ <R
Reason 2: Given
Statement 3: <AMD ≅ <RMC
Reason 3: vertical angles
Both angels are vertical angles. Vertical angles are congruent to each other. Therefore, <AMD ≅ <RMC.
Statement 4: ∆MAD ≅ ∆MRC
Reason 4: AAS Congruence Theorem
Two angles and a non-included side in ∆MAD are congruent to corresponding two angles and a non-included side in ∆MRC. Based on the AAS Congruence Theorem, both triangles are congruent.
We have that
y = −14x² − 2x − 2
First, we need to transform the equation into its vertex form
(x - h)²=4p(y - k)
<span>Group
terms that contain the same variable
</span>y = (−14x² − 2x )− 2
<span>Factor the
leading coefficient
</span>y = -14*(x² + (2/14)x )− 2
<span>Complete
the square Remember to balance the equation
</span>y = -14*(x² + (2/14)x +(2/28)²-(2/28)²)− 2
y = -14*(x² + (2/14)x +(2/28)²)− 2+14*(2/28)²
y = -14*(x² + (2/14)x +(2/28)²)− 2+56/784
Rewrite as perfect squares
y = -14*(x+(2/28))²− 1512/784------>(x+1/14)²=(-1/14)*(y+1512/784)
4p=-1/14------> p=-1/56
This is a vertical parabola and its focus <span>(h, k + p)</span>
<span>h=-1/14</span>
<span>k+p=(-1512/784)+(-1/56)----> (-1512-14)/784)----> -1526/784</span>
<span>
</span>
<span>the focus is</span>
<span>(-1/14,-1526/784)</span>
The cost is what the manufacturer spends to make something
Answer:
You will likely need to actually measure a few people for parts 1 and 2, but the statement in part 2 should be something like "The length of the forearm of one person will be very similar to the length of their foot" or "As the length of the forearm increases, the length of the foot will increase in similar amounts".
Since the equation in pt.3 is y = 0.860x + 3.302, if x=17, then 0.860(17) + 3.302=17.922
The next question is dependant on pt.1
The data from pt.1 should be somewhat similar to the data you collected, the values between them are different because of the allowed error margin between the two.
The data can be made into a function using the "line of best fit". The equation in part A represents a function because there are no two points where two y coordinates are on the exact same x coordinate.
Step-by-step explanation:
Answer:
<h2><u><em>
A) -1</em></u></h2><h2><u><em>
B) -1.5 or -3/2</em></u></h2>
Step-by-step explanation:
Solve 3-4 and (1⁄2)-2
3 - 4, 4 is greater than 3, so the result is negative (-1)
3 - 4 = -1
-----------------
1/2 is equal to 0.5, also here 2 is larger and we will have a negative result (-1.5 or -3/2)
1/2 - 2 =
0.5 - 2 = -1.5 or -3/2
