Answer:
1
Step-by-step explanation:
a + b - c
Let's solve for the first triangle.
1 + 3 - 4
4 - 4 = 0
Now for the second triangle.
2 + 5 - 6
7 - 6 = 1
Add 0 and 1.
0 + 1 = 1
Answer:
The answer to your question is $473.2
Step-by-step explanation:
Data
Payment $0.48 / 0.5 mile
bonus $35 for 150 miles
Distance driven = 420 miles
Process
1.- Calculate the bonus
420 / 150 = 2.8 then he will receive 2 bonuses = 2 x $35
= $70
2.- Calculate the payment for every half mile
420 / 0.5 = 840
840 x 0.48 = $ 403.2
3.- Total payment before taxes
Payment = $403.2 + $70
= $473.2
Answer:
the answer is
, but i don't see an option for that they all look like this - (<-- that)
Step-by-step explanation:
hope this helps :)
The value of x is 2 and the length of JK is 4
<h3>How to solve the unknown variables?</h3>
The given parameters from the circle are:
- Center = Point S
- Segment JK = 8
- Segment LK = 2x + 4
- Congruent SN = SP = 7
The lines SR and SQ are the radii of the circle P
This means that lines JK and JL are congruent
So, we have:
JK = KL
Substitute LK = 2x + 4 and JK = 4
4 = 2x + 4
Rewrite the above equation as:
2x + 4 = 8
Subtract 4 from both sides
2x + 4 - 4 = 8 - 4
Evaluate the difference
2x = 4
Divide both sides by 2
2x = 4/2
This gives
x = 2
Substitute x = 2 in LK = 2x + 4
LK = 2*2 + 4
Evaluate the product of 2 and 2
LK = 4 + 4
This gives
LK = 8
The point N divides JK into 2 equal segments
So, we have
JN = JK/2
JN= 8/2
JN = 4
Hence, the value of x is 2 and the length of JK is 4
Read more about circles at:
brainly.com/question/11833983
#SPJ1
In order to factorate the trinomial, let's first find its roots using the quadratic formula:
![\begin{gathered} b^2-4ac=12^2-4\cdot4\cdot9=144-144=0 \\ x_1=x_2=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-12+0}{2\cdot4}=-\frac{12}{8}=-\frac{3}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2-4ac%3D12%5E2-4%5Ccdot4%5Ccdot9%3D144-144%3D0%20%5C%5C%20x_1%3Dx_2%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%3D%5Cfrac%7B-12%2B0%7D%7B2%5Ccdot4%7D%3D-%5Cfrac%7B12%7D%7B8%7D%3D-%5Cfrac%7B3%7D%7B2%7D%20%5Cend%7Bgathered%7D)
Now we can write the trinomial in the form:

So we have that:

So 2x + 3 is a factor of the trinomial, therefore the answer is D.