Factorise 4b² + 16b ⇒ 4b(b+4)
expand (a-1)(a-2) ⇒ a(a-2) - 1(a-2) ⇒ a² - 2a - 1a + 2 ⇒a² - 3a + 2
factorise x² + 8x + 7 ⇒(x + 1) (x + 7)
evaluate y⁶ / y² ⇒ y * y * y * y * y * y / y * y = y⁴
if x = -1 and y = 5, find z when z = x² + 2y² ;
z = -1² + 2(5²) ⇒ 1 + 2(25) ⇒1 + 50 = 51
Make x the subject: y = 4x - 3
y = 4x - 3
<u>+3 +3</u>
3 + y = 4x
<u>÷4 ÷4 </u>
(3+y)/4 = x
Answers:
- Skipping
- Skipping
- Angles A and E
- Angles B and C
- Angles D and E
- Angles A and H
- Angles A and B
- Angle A
- Angle B
- Angles E and F
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Explanation:
- Skipping
- Skipping
- Corresponding angles are ones where they are in the same configuration of the 4 corner angle set up. Angles A and E are in the same northwest position. Another pair would be angles B and F in the northeast, and so on. Corresponding angles are congruent when we have parallel lines like this.
- Vertical angles form when we cross two lines. They are opposite one another and always congruent (regardless if the lines are parallel or not).
- Alternate interior angles are inside the parallel lines, and they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.
- Alternate exterior angles are the same idea as number 5, but now we're outside the parallel lines. Alternate exterior angles are congruent when we have parallel lines like this.
- Adjacent angles can be thought of as two rooms that share the same wall. Specifically, adjacent angles are two angles that share the same segment, line, or ray. The angles must also share the same vertex. In this case, any pair of adjacent angles always adds to 180 (though it won't be true for any random pair of adjacent angles for geometry problems later on).
- Simply list any angle that looks obtuse, ie any angle that is larger than 90 degrees.
- List any angle that is smaller than 90 degrees. It can be adjacent to whatever you picked for problem 8, but it could be any other acute angle as well.
- Refer to problem 7. In this case, adding any two adjacent angles together forms a straight line.
♡ The Question ♡
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Which of the following is equivalent to the power shown below? 8^4
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☆ The Answer ☆
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Your answer should be C!
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♡ The Explanation/Step-By-Step ♡
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When your power is being shown as 8^4, this can be represented as 'Eight four times.' This means it could be, 8, 8, 8, 8. Hope this helps!
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☆ Tips ☆
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No tips provided!
Mathematically, yes.
Realistically, no.
The difference in their ages is the parent's age when the child was born.
Let's say that the youngest possible is 12.
Then the ratio would be 10:9 when the parent is 120 and the child is 108.
Not likely.
