The ratio of the length of the room to its area is
The equation in standard form is 2x^2 + 7x - 15=0. Factoring it gives you (2x-3)(x+5)= 0. That's the first one. The second one requires you to now your formula for the axis of symmetry which is x = -b/2a with a and b coming from your quadratic. Your a is -1 and your b is -2, so your axis of symmetry is
x= -(-2)/2(-1) which is x = 2/-2 which is x = -1. That -1 is the x coordinate of the vertex. You could plug that back into the equation and solve it for y, which is the easier way, or you could complete the square on the quadratic...let's plug in x to find y. -(-1)^2 - 2(-1)-1 = 0. So the vertex is (-1, 0). That's the first choice given. For the last one, since it is a negative quadratic it will be a mountain instead of a cup, meaning it doesn't open upwards, it opens downwards. Those quadratics will ALWAYS have a max value as opposed to a min value which occurs with an upwards opening parabola. This one is also the first choice because of the way the equation is written. There is no side to side movement (the lack of parenthesis tells us that) so the x coordinate for the vertex is 0. The -1 tells us that it has moved down from the origin 1 unit; hence the y coordinate is -1. The vertex is a max at (0, -1)
Answer:
The m∠YXW is 125°.
Addition equation: m∠YXW = m∠YXZ + m∠ZXW = 85° + 40° = 125°
Step-by-step explanation:
To find the m∠YXW you would need to add the m∠YXZ and m∠ZXW together:
m∠YXW = m∠YXZ + m∠ZXW = 85° + 40° = 125°
Answer:
The answer is D!!
Step-by-step explanation:
Hope this helps!! ;)
Here is a scary story for all!! Enjoy!!
The Ghost Man
Once upon a time there was a family, made up of two young ones and their parents. One day, the parents had to go out to do something important. They had to call someone to take care of their children, so they called a lady who was friends with them. Then the lady arrived and the parents left. She made sure the kids ate and then she put them on their bed to sleep. Their house had two floors and the kids were on the second floor upstairs. Then, she went to sit down on the couch and started to watch tv. She was watching tv when suddenly her phone rang, and she answered the phone. It was an unknown number. She answered it and a creepy voice said, “Have you gone to check on the kids?” When she heard that she automatically hung up. A few minutes later she heard it again, “Have you gone to check on the kids?”. She kept on hearing it for a few times until she started to be a little scared. She called the police as quickly as she could. She told the police that a man who was unknown kept calling her and threatening her. Then the police said that when that man calls again, he will try to locate the man that is calling her. Then the man called again and the police were able to locate the man. A few minutes later, the police called again and he said, “Get out of the house right now because the man that is calling you is on the second floor of your house”. Then the lady remembered that the kids were upstairs so she ran upstairs as fast as she could and it was too late, the kids were gone and there was blood all over their room. The kids were never seen again and lots of police men are still going to look out to find this mysterious man who is going out to get every person he sees. So be careful of what you do because you might hear their cries too.
Hope you like it!! ;)
I solved it but don’t know how to show my work