Answer:
<u><em>note:</em></u>
<u><em>please find the attached solution</em></u>
Answer:
x = 6
Step-by-step explanation:
move all terms to the left:
-1.5x+12-(2.5x-12)=0
get rid of parentheses
-1.5x-2.5x+12+12=0
add all the numbers together, and all the variable.
-4x+24=0
move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4 - divide
x=+6
Answer:
2804 cm²
Step-by-step explanation:
<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>
- Trapezoid = 1/2*(14+32)*24 = 552 cm² each
- Bottom = 17*32 = 544 cm²
- Top = 14*17 = 238 cm²
- Right side = 17*24 = 408 cm²
- Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²
<u>Total area:</u>
552*2 + 544 + 238 + 408 + 510 = 2804 cm²
Answer:
x = 1/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x - 5y = 21
<em>y</em> = -4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 4x - 5(-4) = 21
- Multiply: 4x + 20 = 21
- [Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
- [Division Property of Equality] Divide 4 on both sides: x = 1/4
Answer:
85 ft
Step-by-step explanation:
The Pythagorean theorem tells you the length of the hypotenuse (c) is related to the lengths of the legs (a, b) of a right triangle by ...
c^2 = a^2 +b^2
c^2 = (40 ft)^2 +(75 ft)^2 = 7225 ft^2
c = √(7225 ft^2) = 85 ft
The length of the missing side is 85 ft.
