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Paha777 [63]
3 years ago
10

23. 10c2 - 21c = -4c + 6

Mathematics
1 answer:
laila [671]3 years ago
7 0

Answer:

c = 2  or c  = -3/10

Step-by-step explanation:

23. 10c2 - 21c = -4c + 6

10*cc  - 21c  = -4c + 6

10cc  - 21c + 4c - 6 = 0

10cc - 17c - 6 = 0

c =  17/20  +  root (17*17 - 4*10 *(-6)) / 20

c = 17/20 + 23/20

c = 2  or  c = -6/20 = -3/10

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Melanie walked 2.2 miles. Cathy walked 1.75 times as far. This means that you need to do 2.2 * 1.75 which equals 3.85. To find how much further, do 3.85 - 2.2 which equals 1.65. Therefore Cathy walked 1.65 more miles than Melanie.
3 0
2 years ago
What is the other endpoint if one endpoint is (10,12) and the midpoint is (6,9).?
Lubov Fominskaja [6]

Answer:

(2,\, 6).

Step-by-step explanation:

Let (x_{0},\, y_{0}) and (x_{1},\, y_{1}) denote the two endpoints.

The formula for the midpoint of these two points would be:

\displaystyle \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right).

(Similar to taking the average of each coordinate.)

In this question, it is given that x_{0} = 10 whereas y_{0} = 12. Substitute these two values into the expression for the coordinate of the midpoint:

  • x-coordinate of the midpoint: \displaystyle \frac{10 + x_{1}}{2} = 6.
  • y-coordinate of the midpoint: \displaystyle \frac{12 + y_{1}}{2} = 9.

Solve these two equations for x_{1} and y_{1}: x_{1} = 2 whereas y_{1} = 6.

Hence, the coordinate of the other point would be (2,\, 6).

4 0
2 years ago
Equation: (y+12)/(-4)=5<br> What is y?
zlopas [31]
The answer is y= -32
6 0
2 years ago
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Type the correct answer in each box. Use numerals instead of words. Consider this expression. (x+5)(x-7) Complete the box to sho
Ne4ueva [31]

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In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

In the top left corner, the x^2 is from multiplying the two copies of x.

3 0
2 years ago
A city planner designs a park that is a quadrilateral with vertices at J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1). There is an e
Vadim26 [7]

use the eqn below to find the mid-pts

x-mid-pt = (x₁+x₂)/2

y-mid-pt = (y₁+y₂)/2

J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1)

So

midpoint JK = (-1+1/2, 1+3/2) = (0,2)

midpoint KL = (1+5/2, 3+⁻1/2) = (3,1)

midpoint LM = (5+⁻3/2, ⁻1+⁻1/2) = (1,-1)

midpoint MJ = (⁻3+⁻1/2, -1+1/2) = (-2,0)


use the eqn to find distance:


d = √(x₂ - x₁)² + (y₂ - y₁)²


Distance between JK and LM = √(0⁻1)² + (2 - ⁻1)² = √1 + 9 = √10

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Scale is 10

Actual distance = 10*(√10 + √26) = 82.6 = 83 units


8 0
3 years ago
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