Answer:
Mostly correct
For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.
For Q4, I think you were confused with the fractions,
4(i)
4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64
Hope this helps!
A segment bisector is a segment, ray, line, or plane that intersects a given segment at its midpoint.
For example, in the diagram shown, line SQ bisects segment PR because line SQ intersects segment PR at its midpoint which is Q.
0.0018 is what is was in a decimail but i dont know what the quiestion is
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When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Marisol biked a total of 71 miles. On the other hand, she biked about 10 more miles on Wednesday than on Thursday.
<h3>How to round numbers?</h3>
The general rule is to move the decimal number to its nearest tenth. For example, 5.6 should be rounded as 6 but 5.1 should be rounded as 5.
Now, let's round the distance covered by Marisol each day:
- Monday: 12.3 = 12
- Tuesday: 14.1 = 14
- Wednesday: 17.7= 18
- Thursday: 11.8 = 12
- Friday: 15.2 = 15
<h3>What distance did Marisol covered?</h3>
To know this just add the distance every day:
- 12 + 14 +18 + 12 + 15 = 71 miles
<h3>How much more did she bike on Wednesday than on Thursday?</h3>
Distance covered on Wednesday - distance covered on Thursday
Note: This question is incomplete; here is the missing information:
- Monday 12.3
- Tuesday 14.1
- Wednesday 17.7
- Thursday 11.8
- Friday 15.2
Learn more about addition in: brainly.com/question/17407789
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