Answer:
2673
Step-by-step explanation:
Answer:
∠J = 60°
Step-by-step explanation:
The Law of Cosines tells you ...
j² = k² +l² -2kl·cos(J)
Solving for J gives ...
J = arccos((k² +l² -j²)/(2kl))
J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)
J = 60°
_____
<em>Additional comment</em>
It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.
Okay so basically the axis of symmetry is the h (technically where x is on the graph)nvalue so for the first one the answer is -4 for the second one because in vertex form the value of h (x-h) is in the parenthesis. For the second one you will have to turn the equation from standard to vertex. First step is to factor out the first two terms' coefficients. if you factor out two the equation turns into 2(x^2-8x) +15 The next step is you take 8 and divide it by 2 and then square it which equals 16. You add this term into the parenthesis so you can factor out like a quadratic. The equation turns into 2(x^2-8x+16) +15 to balance out the equation you have to subtract the term that you put in the parenthesis outside the parenthesis. Since 16 is the parenthesis you need to multiply it by 2, so your equation will turn into y=2(x^2-8x+16) -17 then factor out like a regular polynomial and get y=2(x-4)^2 -17 now that it's in vertex form you can see your answer is positive 4. For the third problem just look where the vertex is and see the x coordinate. The answer is 1.
The order is the g(x), the graph and the f(x)
Answer
Find out the how far into the country does he go.
To proof
Let us assume that the total diatance travelled into the country be x .
Formula

As given
A cyclist rides into the country at an average speed of 10 miles per hour. When his bicycle gets a flat tire,
he walks it back at an average speed of 3 miles per hour.
If he returns home 6 and a half hours after he starts i.e the total time including the bike time and walk time of the cyclist be 6.5 hours.
Than the equation becomes

L.C.M of (10,3) = 30
Than the equation becomes
3x +10x = 195
solving
13x = 195

x = 15 miles into the country
Hence proved