Pls help me on this function math question
Answers
Answer:
Second diagram
Step-by-step explanation:
Basically, for any of these options to be functions, each value in the domain must correspond to only one value in the range. So any option that has a value in the domain section with arrows pointing to multiple values in the range section is not a function, and not our answer. We must look for the option where there is only one range value for each domain value. So our answer is the second option.
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Help please :( CROWN ???
B) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of angles are congruent.
C) (-1, 1)(-2, 1)(-1, 4); because corresponding pairs of sides and corresponding pairs of angles are congruent.
D) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent
Answers
Answer:
D) (-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent
Step-by-step explanation:
For triangles to be congruent, it is not enough that corresponding angles are congruent. In addition, there must be at least one pair of corresponding sides that are congruent. (Then all pairs will be congruent.)
The points listed in choices B and D are points that form a right triangle with leg lengths 2 and 6. However, choice B only refers to the angle measures, and not the sides. Choice D is the correct one.
Answers
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2
Final answer:
The maximum area that can be roped off with 200 feet of rope is 2500 square feet by making the roped off area a square.
Explanation:
The question deals with the optimization of area given a fixed perimeter, which involves the principles of geometry and algebra. Since the area needs to be roped off is a rectangle, and you have 200 feet of rope, your rectangle will have dimensions length (L) and width (W) such that 2L + 2W = 200.
To maximize the area of a rectangle given a fixed perimeter, the rectangle should be a square. So, for a maximum area, the length and width should be equal. Thus, each dimension (length and width) would be 200/4 = 50 feet.
Finally, to find the maximum area, we multiply the length by the width: 50 feet * 50 feet = 2500 square feet. So, the maximum area that they can rope off with 200 feet of rope is 2500 square feet.
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5
A)
one solution
B)
two solutions
infinitely many solutions
D)
no solution
2) Which equation has infinitely many solutions?
A) 9x - 3 = 3x + 6x + 2 + 3
B) 12(X + 8) - 11x - 5
11x - 2x + 15 = 8 + 7 + 9x
D) 5x - 8 - 11 - 7x + 12x
Answers
Answer:
number one is D no solution
number two is B 12(x+8)-11x-5
Step-by-step explanation:
Final answer:
The given equation 7x - 6 + 3 = 5x + 2x + 5 has no solution. The equation with infinitely many solutions is 11x - 2x + 15 = 8 + 7 + 9x.
Explanation:
For the first part of your question, let's begin by simplifying the given equation 7x - 6 + 3 = 5x + 2x + 5.
When simplified, it becomes 7x - 3 = 7x + 5, and further simplifying will give us -3 = 5, which is not correct.
Hence, this equation has no solution. So the option is D) No solution.
For the second question, let's simplify each equation and see which one results in a true statement that doesn't involve 'x'. The equation A) 9x - 3 = 3x + 6x + 2 + 3 simplifies to 9x - 3 = 9x + 5, which also gives us a false statement -3 = 5. So, the answer is not A).
If we do the same for the remaining options, we'll find that the equation with infinitely many solutions is C) 11x - 2x + 15 = 8 + 7 + 9x, simplifying it gives 9x + 15 = 15 + 9x which is a true statement for any x.
So, the equation with infinitely many solutions is option C).
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point (1,5)? *
Answers
Answer:
y-5=5(x-1)
Step-by-step explanation:
Point slope form is: y-y1=m(x-x1)
y1 here is 5 and x1 is 1, because those are the points in the ordered pair given.
y-5=x-1 would be your base answer, but you need to account for the slope as well, which is m. So, y-5=5(x-1)
Hope this helped! :)
Answer: y+1=-5(x-2)
Step-by-step explanation:
Answers
0.06 x 10 = 0.6
Final answer:
The 6 in the tenths place in the number 51.66 is ten times greater in value than the 6 in the hundredths place, due to positional values in decimal numbers.
Explanation:
In the decimal number 51.66, the value of the 6 in the tenths place is indeed ten times the value of the 6 in the hundredths place. This is because each place to the right of the decimal point is ten times smaller than the place to its immediate left. Therefore, although both of these digits are 6, the 6 in the tenths place represents a value of 0.6 (or 6/10), whereas the 6 in the hundredths place represents a value of 0.06 (or 6/100). So, when you divide 0.6 by 0.06, you get 10, showing that the 6 in the tenths place is ten times the value of the 6 in the hundredths place.
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