Answer:
Options A and C
Step-by-step explanation:
Area of the triangular pane = 
= 
= 84 cm²
Area of the rectangle is given by the formula,
Area = Length × width
Option A.
Area of the rectangular pane = 12 × 7
= 84 cm²
Option B.
Area of the rectangular pane = 15 × 7
= 105 cm²
Option C.
Area of the rectangular pane = 21 × 4
= 84 cm²
Option D.
Area of the rectangular pane = 21 × 8
= 168 cm²
Option E.
Area of the rectangular pane = 28 × 6
= 168 cm²
Therefore, rectangular panes A and C have the equal area as the triangular pane has.
Answer:
x = -2+- sqrt(6)
Step-by-step explanation:
Using completing the square, let x^2+4x-2 = 0 and solve the steps to get the answerx^2 + 4x - 2 =0
add 2 to both sides to get x^2 + 4x = 2
then add 4 to both sides to get x^2 + 4x + 4 = 6
Get the left hand side to the square formate: (x+2)^2 = 6
then simplify x+2 = sqrt(6) or x+2 = -sqrt(6)
so x = sqrt(6) - 2 or x = -sqrt(6) -2
Answer:
= 5 * 10 ^ 1/3
Step-by-step explanation:
3 log 2x=4
Divide each side by 3
3/3 log 2x=4/3
log 2x=4/3
Raise each side to the power of 10
10 ^(log 2x)=10 ^(4/3)
2x = 10 ^(4/3)
Divide by 2
2/2x = 1/2 * 10 ^(4/3)
x = 1/2 * 10 ^4/3
10 ^ 4/3 = 10 * 10 ^ 1/3
x = 1/2 ( 10) 10 ^ 1/3
= 5 * 10 ^ 1/3
Answer:
Linear functions are one-to-one while quadratic functions are not. A linear function produces a straight line while a quadratic function produces a parabola. Graphing a linear function is straightforward while graphing a quadratic function is a more complicated, multi-step process.
Answer:
5 per noun, 8 per verb
Step-by-step explanation:
start by defining what each variable is
v = n+3
v = 2n-2
substitute v for one of the equations above
n+3 = 2n-2
subtract n from both sides
3 = n-2
add 2 to each side
5 = n
so there are 5 flashcards per noun
substitute 5 in for n in both equations
v = 5+3
and
v = 2(5)-2
solve both equations
v = 8 and v = 8
so there are 8 flashcards per verb
