Answer:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Step-by-step explanation:
Suppose that we have a cube with sidelength M.
if we rescale this measure with a scale factor 8, we get 8*M
Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2
This means that the ratio of the surfaces/areas will be 64.
(and will be the same for a pyramid, a rectangle, etc)
Then the correct options will be the ones related to surfaces, that are:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Given
We have to set the restraint
because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:
The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have
So, we have to impose
Squaring both sides, we have
The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
X^2 - 6x + 5 = 0
(x - 5)(x - 1) = 0
x - 5 = 0; x =5
x - 1 = 0; x = 1
answer
x = 1, x =5
Answer:
The ordered pair which makes both the inequalities true is = (–2, 2)
Step-by-step explanation:
inequalities are the relationships between two expressions which are not equal to one another.
Inequalities are represented by the following relations:
- ≤: "less than or equal to"
- ≥: "greater than or equal to"
an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
so, the option B(-2,2) satisfies the inequalities expressions given in the question
therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.
so the correct answer is (-2,2)
learn more about inequalities at
brainly.com/question/24853349
#SPJ10
Answer:
A
Step-by-step explanation:
Here, we want to find the value farthest to the right here.
What this means is that we want the value that is most positive. The values farthest to the right side are the most positive;
A is 10-(-7) = 17
B is 3
C is -17
D is -3
The value farthest to the right is 17 which is A and it is the most positive value
