Can some one please help me solve this ?
Answers
any two points is . . .
square root of [ (difference in their x-values)² + (difference in their y-values)² ].
Your two points are (-9, 6) and (-3, 9).
The difference in their x-values is 6 .
The difference in their y-values is 3 .
The distance between the points is . . .
square root of [ (6)² + (3)² ] = √(36 + 9) = √45
a^2+b^2=c^2
so to find a you subsitute (x₁-x₂) and for b subsitute (y₁-y₂)
we want to find c
so
(-9-(-3))^2+(6-9)^2=c^2
(-9+3)^2+(6-9)^2=c^2
(-6)^2+(-3)^2=c^2
36+9=c^2
45=c^2
square root both sides
√45=c=distance
√45=3√5 in other words 3 times √5
answer is 3√5
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Write a real world example, then solve.5x + 4 = 2x +14
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What is the best classification for -4
4x – 14y = –68
Answers
In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:
2x - 7y = -34
Next, add the two solutions so that the y term is eliminated. The result is:
10x = 5
Then solve for x
x = 1/2
Substitute x to either of the solution to solve for y. The result is:
y = 5
Final answer:
The solution to the system of equations 8x + 7y = 39 and 4x – 14y = -68 via elimination is x = 0.5 and y = 5.
Explanation:
The two given equations are 8x + 7y = 39 and 4x – 14y = -68. The method for solving this is elimination.
- First, modify the second equation by multiplying every term by 2.
- This will give 8x - 28y = -136.
- Now, you have two equations 8x + 7y = 39 and 8x - 28y = -136 that can be combined by subtraction: 8x - 8x + 7y - (-28y) = 39 - (-136).
- Simplification gives 35y = 175, so y = 5.
- Substituting y = 5 into the first equation, 8x + 7*5 = 39, which simplifies to 8x + 35 = 39, and then to 8x = 4, so x = 0.5.
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h(n) = -n -1
Find: (g/h)(-5)
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
-Let solve for g
g/h=-5
Step 1: Multiple both sides by h.
g=-5h
Answer: g=-5h
j(x) = 12x
a(x) = 9x
All the functions are equal at x = 3.
c(x)
j(x)
a(x)
Answers
Answer:
c(3) is the largest
Step-by-step explanation:
For positive values of x, j(x) > a(x), so the comparison is between c(x) and j(x).
Without evaluating the functions, you can subtract 5x from them to get ...
c'(x) = c(x) -5x = 3x² +22
j'(x) = j(x) -5x = 7x
Now the question is whether c'(3) is larger than j'(3). The latter is ...
j'(3) = 7·3 = 21
Since c'(3) has an added constant of 22 and x² will be positive, we know that ...
c(3) > j(3) > a(3)
The function with the largest value at x=3 is c(x).
_____
You can, of course, simply evaluate the functions:
- c(3) = (3·3 +5)·3 +22 = 14·3 +22 = 42 +22 = 64
- j(3) = 12·3 = 36
- a(3) = 9·3 = 27
c(3) > j(3) > a(3) . . . . . . . c(3) is the largest
Answer:
It’s D
Step-by-step explanation:
a(x)
Answers
Radius is half the diameter.
The diameter is shown as 16, so the radius would be 16/2 = 8 in.
Area = 3 x 8^2
Area = 3 x 64
Area = 192 square inches
Answer:
A = 192
Step-by-step explanation:
r = 16/2 = 8
A = 3x(8)^2
8^2 = 64
A = 3 x 64 = 192
Answers
The perimeter of the room is units.
How to calculate the perimeter of a room given the area ?
The area of the square room is = square units.
We know that the area of a square is given as the product of its sides,
Therefore the value of each side is = unit
Side of the square room is = unit
Thus the perimeter of a square is given as the 4*length of each side.
∴ Perimeter = 4* =
units.
Thus the perimeter of the square room is units.
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√(196x^12y^10z^6) = 14x^6y^5z^3
That result is the length of one side of the room; so, just multiply
that result by 4 to find perimeter.
14x^6y^5z^3 •4 = 56x^6y^5z^3| feet