Question 1

19. The base of a triangle is four less than three times the height. The area of the triangle is 38 square centimeters. A=(b×h)/2
(3 points)
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An expression for the base of the triangle: Response area

Equation for the area of the triangle, substituting in for the base: Response area

The first step in solving for h: Response area

Question 2
20. Solve the equation for y: 3x+5y=60
(1 point)
Responses

y=−35x+12
y is equal to negative 3 fifths x plus 12

y=60−3x
y is equal to 60 minus 3 x

y=57x5
y is equal to 57 x over 5

y=60+3x5
y is equal to 60 plus 3 x over 5
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1 answer

Question 1

  1. An expression for the base of the triangle: \[ b = 3h - 4 \]

  2. Equation for the area of the triangle, substituting in for the base: \[ 38 = \frac{(3h - 4)h}{2} \]

  3. The first step in solving for h:

    Multiply both sides by 2 to eliminate the fraction:
    76 = (3h - 4)h
    

Question 2

Solve the equation for y:

The correct response is:

  • y is equal to negative 3 fifths x plus 12
  • \( y = -\frac{3}{5}x + 12 \)