Answer:
Catherine is not correct (see the explanation)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The formula to calculate the slope between two points is equal to
the two points from the graph are
(4,40) and (7,70)
substitute the values in the formula
therefore
Catherine is not correct
Answer:
1
Step-by-step explanation:
Try the question without the absolute value brackets first.
Then it would be 3+2-6
Since it states "x-y" and y is -2, then it would be 3+2 since a negative times a negative becomes a positive
Same thing for "z", instead of +6 it would be -6 because a negative times a positive is still a negative
Now, 3+2-6 is -1 but MAKE SURE to put the absolute value brackets back. Making the answer a positive number. Therefore, it would be 1
Answer:
(a) |s - x| ≤ 3/16
(b) 4 15/16 ≤ x ≤ 5 5/16
Step-by-step explanation:
(a) The absolute value of the difference from spec must be no greater than than the allowed tolerance:
|s - x| ≤ 3/16
__
(b) Put 5 1/8 for s in the above equation and solve.
|5 1/8 - x| ≤ 3/16
-3/16 ≤ 5 1/8 -x ≤ 3/16
3/16 ≥ x -5 1/8 ≥ -3/16 . . . . multiply by -1 to get positive x
5 5/16 ≥ x ≥ 4 15/16 . . . . . . add 5 1/8
Pieces may be between 4 15/16 and 5 5/16 inches in length.
Answer:
The triangles are congruent by congruency theorem SAS.
Step-by-step explanation:
Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.
Answer:
The constant of variation for the given quadratic equation is, 30
Step-by-step explanation:
One of the form of a quadratic equation is written as:
....[1]
where k is the coefficient and for this case the constant of variation.
In order to obtain the answer for the given equation, we write the given equation to the form above.
or
or
Comparing this equation with equation [1], to get the value of k;
k=30.
therefore, the constant of variation is, 30.
