Answer:
Step 1-Write an equation, letting x represent Kareem’s age:
(x + 3) + x + 2 x = 33
Step 2-Solve the equation:
(x + 3) + x + 2 x = 33. 3 + 4 x = 33. 4 x = 30. x = 7 1/2.
Step 3-Sadie is 10 1/2, Kareem is 7 1/2, and Nadra is 3 3/4.
Which corrects the student’s first error?
1. In Step 1, the student should have used One-half x to represent Nadra’s age, and written the equation (x + 3) + x +1/2x = 33.
2. In Step 2, the student should have added 3 on both sides of the equation to find a solution of x = 9.
3. In Step 3, the solution represents Sadie’s age. Therefore, Sadie is 7 1/2, Kareem is 4 1/2, and Nadra is 2 1/4.
4. In Step 3, Nadra’s age is the difference between 33 and Sadie’s and Kareem’s ages, so Nadra is 15.
Answer:
<h2>x = -1.5 or x = 4</h2>
Step-by-step explanation:
False. 0^0 is one. Any number raised to the zero is 1.
Answer:
x = 6.8
Step-by-step explanation:
The angle where the tangent meets the diameter is a right angle. This means the triangle is a right triangle and the Pythagorean theorem applies.
x² = 3.2² +6² . . . . . . . . the radius is 3, so the diameter is 6
x² = 46.24
x = √46.24 = 6.8
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<em>Additional comment</em>
This is an 8-15-17 right triangle, scaled by a factor of 0.4.
