You find the overall change in temperature by adding them together.
-8 would be from were is decreased 8 degrees and +8 would be from where it increased 8 degrees
Like: -8+8=0
Given:
The figures of triangles and their mid segments.
To find:
The values of n.
Solution:
Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.
9.
It is given that:
Length of mid-segment = 54
Length of parallel side = 3n
By using mid-segment theorem for the given triangle, we get
Divide both side by 3.
Hence, the value of n is equal to 36.
10.
It is given that:
Length of mid-segment = 4n+5
Length of parallel side = 74
By using mid-segment theorem for the given triangle, we get
Divide both side by 4.
Hence, the value of n is equal to 8.
Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8 because the minimum is -8.
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
Answer:
1 and 9
Step-by-step explanation:
By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.
In other words, in a triangle with side lengths 
and 
we always have 
Applying this to this question, the other side length, 
must satisfy the following inequalities:
Solving these inequalities gives
Combining these solutions, we have 
Therefore, the length of the third side falls between 1 and 9.
Answer:
discount of 50% on one shirt, which inequality can be used to find the maximum number of shirts, n, that she can buy?
Step-by-step explanation:
has $210 to spend on clothes. She wants to buy a pair of shorts and some shirts. The cost of a pair of shorts is $25, and the cost of a shirt is $40. If she gets a discount of 50% on one shirt, which inequality can be used to find the maximum number of shirts, n, that she can buy?
