To solve each inequality, we can use different operations or transposition to simplify the equations or expressions given.
1. m - 7 < 6 m < 13
2. x + 4.5 ≥ 5.5 x ≥ 1
3. p + 12 > 9 p > -3
Answer:
So a point is (-3,-5) and the vertex is (-4,-3)
Step-by-step explanation:
This is in vertex form. Vertex form is y=a(x-h)^2+k where (h,k) is the vertex.
The vertex here is (-4,-3)... now just use a value of x to plug in (any value besides -4)
I will choice -3. This gives -2(-3+4)^2-3
f(-3)=-2(1)^2-3
f(-3)=-2-3
f(-3)=-5
So a point is (-3,-5) and the vertex is (-4,-3)
The obvious answer to this would be 10.
The most simple way to do it would be taking out 3 x from each side of the equation and do 20 = 10 + _
Another way would be to actually solve it.
Let us put into the situation that the unknown variable would be y. The equation then would look like this.
3 x 20 = 3 x (10 + y)
Then solve
3 x 20 = 3 x (10 + y)
-------- ---------------
3 3
20 = 10 + y
20 - 10 = y
10 = y
10 would be the answer
Answer:
Explanation:
The 
th term of an arithmetic sequence is explicitly defined as 
where 
is the first term of the sequence and 
is the the common difference.
From the given first five terms of the sequence we can see that the first term is 
so 
.
The common difference, , can be calculated by 
so we'll find the common difference of the given sequence by letting 
.
Now let's plug everything we know.
The transformation is ISOMETRY.
In mathematics, an isometry<span> (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective. A composition of two opposite </span>isometries<span> is a direct </span>isometry<span>. A reflection in a line is an opposite </span>isometry<span>, like R </span>1<span> or R </span>2<span> on the image.</span>
