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Answer:
The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.
Step-by-step explanation:
The image related to the exercise is necessary, to be able to solve therefore the attached one.
We have the following information:
Perimeter of the triangle = 58 units
Hypotenuse = 24 units
We have that the other two sides are equal and have x units, therefore we have the following:
x + x + 24 = 58
2 * x = 58-24
2 * x = 34
x = 34/2
x = 17
Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.
Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
16x + 14y = 8
-63x - 14y = 133
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: 16x + 14y = 8
- Substitute in <em>x</em>: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
Answer:
Part a)
Steve's expression is
For x=3, the expression is equal to
Part b)
Jasmine's expression is
For x=2, the expression is equal to
Step-by-step explanation:
Part a)
Let
n-----> the first term
The expression is
substitute
Steve's expression is
Evaluate for x=3
Part b)
Let
n-----> the first term
Jasmine's expression is
Evaluate for x=2