Answer:
C.x=4.3 Is the correct answer!
Step-by-step explanation:
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The area of rectangle = 24 × 8 = 192 cm^2 ;
The area of triangle = ( 16 × h ) / 2 = 8 × h ; where h = the height of the triangle ;
the rectangle and the triangle have equal areas;192 = 8 × h ;
h = 192 ÷ 8 ;
h = 24 cm ;
Answer:
x= 17/8
Step-by-step explanation:
6x− 5/2=2x+6
Step 1: Simplify both sides of the equation.
6x+−5/2=2x+6
Step 2: Subtract 2x from both sides.
6x+−5/2−2x=2x+6−2x
4x+−5/2=6
Step 3: Add 5/2 to both sides.
4x+−5/2+5/2=6+5/2
4x=17/2
Step 4: Divide both sides by 4.
4x/4=17/2/4
x=17/8
Answer: 4.15 units
Explanation:
1) You must find the solution to this system:
y = -0.3x² + 3x
-2x + 5.5y = 19.5
2) replace y from the first equation into the second equation:
-2x + 5.5 [-0.3x² + 3x] = 19.5
3) use distributive property: -2x - 1.65x² + 16.5x = 19.5
4) combine like terms: - 1.65x² + 14.5x = 19.5
5) transpose terms: 1.65x² - 14.5x + 19.5 = 0
6) use quadratic formula to find the solution:
x ≈ 1.66 and x ≈ 7.13.
To find which is the lower point, you replace the two values and find which has smaller y value:
y = -0.3x² + 3x
x = 1.66 ⇒ y = -0.3(1.66)² + 3(1.66) = 4.15
x = 7.13 ⇒ y = -0.3(7.13)² + 3(7.13) = 6.14
Therefore, the answer is y = 4.15.
Answer:
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Step-by-step explanation: