Step-by-step explanation:
125/1000
=5/40
=1/8
=0,125
Answer:
No Jorge will not be standing next to Leslie.
Step-by-step explanation:
When the pairs are put onto a coordinate grid you will notice Leslie is 10 units away from Jorge to the left. However the question is saying Jorge goes 10 units to the right. Which would be going further away from Leslie. Considering coordinate grids are made so in the top right it is 100% positive bottom right 50% positive its only positive on the x axis, which is the line through the middle. The bottom left is 100% negative. The top left is 50% negative as it is negative along the x axis. The x axis is plotted first and the y axis is plotted second.
Refer to the pdf I attached for some more information! Also the teal dot represents Leslie and the red one represents Jorge.
I hope this helps! If you need any more further help about this question please let me know.
Answer:
Vertex (-3,1)
Step-by-step explanation:
y = x^2 + 6x + 10 Put brackets around the first two terms
y = (x^2 + 6x) + 10 Take 1/2 the linear term (6) and square it. Put that inside the brackets. Always add.
y = (x^2 + 6x + (6/2)^2 ) + 10 Since you added in side the brackets, subtract after the 10
y = (x^2 + 6x + 9) + 10 - 9 The 3 terms inside the brackets are a perfect square. Combine the two terms outside the brackets.
y = (x + 3)^2 + 1
The vertex is at (the value that makes x + 3 go to zero, and the number outside the brackets)
(-3,1)
Check
The check is to ask Desmos to graph the equation. That graph is shown below. Notice that the lowest point is(-3,1). Notice that the graph and my answer do agree.
Answer:
The 32nd term of the arithmetic sequence is -386.
Step-by-step explanation:
Given: The arithmetic sequence where and
We have to find the 32nd term of the arithmetic sequence.
Consider the given sequence with and
We know , For a given sequence in an Arithmetic sequence with first term and common difference d , we have,
We first find the common difference "d".
, we have,
Solve for d , we have,
-88= 8d
d = - 11
Thus, 32nd term is
Thus, The 32nd term of the arithmetic sequence is -386.