The base of a triangle is 4 less than three times the height. The area of the triangle is 38 square cm. A=b × h2
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
An expression for the base of the triangle:.
Equation for the area of the triangle:
The first step in solving for h
An expression for the base of the triangle: 3h - 4
Equation for the area of the triangle: 38 = (3h - 4) * h^2
The first step in solving for h: Simplify the equation by expanding the square on the right side.
Put the steps in order to solve the equation: 3n+9+4n=2
. Put the reasoning in the first blank and the simplified equation in the second blank.(6 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1: to get
Step 2: to get
Step 3: to get
Step 1: Combine like terms on the left side of the equation. - 3n + 4n = n and 9 remains the same. The equation becomes: n + 9 = 2
Step 2: Subtract 9 from both sides of the equation to isolate the variable. n + 9 - 9 = 2 - 9. The equation becomes: n = -7
Step 3: The simplified equation after performing the necessary operations is: n = -7
Look at the steps for solving the equation and choose a true statement.
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
The true statement is: -6x + 1 = -6x + 1
Look at the steps for solving the equation and choose a true statement.
3x−9x+1=2(−3x+1)−1
−6x+1=−6x+2−1
−6x+1=−6x+1
(1 point)
Responses
There is no solution to the equation.
There is no solution to the equation.
The only solution to the equation is 1.
The only solution to the equation is 1.
There are infinitely many solutions to the equation.
There are infinitely many solutions to the equation.
There is no way to know if there is a solution to the equation.
There is no way to know if there is a solution to the equation.
The only solution to the equation is -6.
The only solution to the equation is -6.
A student solved the following equation using the following steps:
4(2−3x)=x−2(2x+1)
8−3x=x−4x−2
8−3x=−3x−2
No solution
(2 points)
Based on the student's work, the equation was solved
incorrectly
.
The equation solved correctly would show that it has
no
solution(s).
Based on the student's work, the equation was solved correctly.
The equation solved correctly shows that it has no solution(s).
A student solved the following equation using the following steps:
2(2x+2)=4(x+4)
4x+4=4x+4
4=4
Conclusion: Infinitely many solutions
(2 points)
Based on the student's work, the equation was solved
incorrectly
The equation solved correctly would show that it has
one
solution(s)