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xz_007 [3.2K]
3 years ago
7

Need help on question number four

Mathematics
1 answer:
babunello [35]3 years ago
7 0
The answer is B. It wasnt rotated only reflected and then translated
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What is the equation of the line that passes through the points (3,-2) and (6,3)? Put your answer in full reduced form
Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

From the coordinate geometry, equation of line that passes through two coordinates will be

y-y1 ={(y2-y1)/x2-x1)}(x-x2) where x1=3,y1= -2, x2 =6, y2 = 3. therefore substitute for the values

y-(-2) ={ 3-(-2)/6-3} x (x-6)

y+2 = 3+2/3 x (x-6)

y+2 =5/3(x-6) multiply both side by 3,

3(y+2) = 5(x-6)

3y+6 =5x-30

3y = 5x -30 -6

3y = 5x - 36. Therefore the equation of the line is

3y = 5x - 36.

6 0
4 years ago
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi
Afina-wow [57]

Answer: 36 three-point field goals.

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of  one-pointers w, the number of two-pointers x, and the number of three-pointers y. We are trying to find y here. We also know that w+x+y=85, because that is the total amount of baskets, and also that w+2x+3y=184, which is the total amount of points. We know that there were 22 free throws,  so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are x+y=63 and 2x+3y=184. Solving the equations using our knowledge of systems of equations, you get that y=36. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

3 0
4 years ago
The average fine for entering a national Forest wilderness without a permit increased from $65 to $78. What rate of increase is
Alik [6]

20%

A change from 65 to 78 represents a positive change (increase) of 20%

Use the formula found below to find the percent change by replacing the given values:

Percent change = [(New - Old ) / |Old|] x 100%


5 0
3 years ago
Read 2 more answers
Find an equation for the inverse for each of the following.
IgorLugansk [536]

Answer:

  • <em>To solve these first swap x and y, solve for y and name it inverse function</em>

3. <u>y = -8x + 2</u>

  • x = -8y + 2
  • 8y = -x + 2
  • y = -x/8 + 2/8
  • y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

-----------------------------------------

4.<u> y = (2/3)x - 5</u>

  • x = (2/3)y - 5
  • (2/3)y = x + 5
  • y = (3/2)x + (3/2)5
  • y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

-----------------------------------------

5. <u>f(x) = 2x² - 6</u>

  • x = 2y² - 6
  • 2y² = x + 6
  • y² = 1/2x + 3
  • y = \sqrt{1/2x + 3}

f⁻¹(x) = \sqrt{1/2x + 3}

-----------------------------------------

6. <u>y = (x - 3)²</u>

  • x = (y - 3)²
  • \sqrt{x} = y - 3
  • y = 3 + \sqrt{x}

f⁻¹(x) = 3 +  \sqrt{x}

4 0
3 years ago
What is the value of x? x + 12 &lt; 180
AveGali [126]

Answer:

x<168

Step-by-step explanation:

7 0
3 years ago
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