Answer:
<span>=3<span>√6</span>−3<span>√5</span></span>
Explanation:
<span>3<span><span>√5</span>+<span>√6</span></span></span>
We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>
<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>
<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>
<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>
<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>
<span>=−3<span>√5</span>+3<span>√6</span></span>
<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>
Answer: 3/8x
To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple of the denominators. This number is same as the least common denominator .You can then write each term as an equivalent fraction with the same LCD denominator.
It is 2 that what i got and i think i got it write if not delete
Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.
let for greater than m mileage company A will
charge less than company B.
charge for company A for m mileage= $93
charge for company B for m mileage= $65 + $0.70*m
so,
93 ≤ 65+0.70*m
93-65 ≤ 65+0.70*m -65
28 ≤ 0.70*m
28*10 ≤ 7 *m
280 ≤ 7m
280/7 ≤ 7m/7
40 ≤ m
Ans: greater than 40 mileage Company A will charge less than Company B
Step-by-step explanation:
Rigid transformation do not alter the sides and angle measurements of a shape.
The true statements are:
- <em>quadrilateral 1 and quadrilateral 2 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 3 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 4 - Not congruent
</em>
- <em>quadrilateral 2 and quadrilateral 3 - Congruent
</em>
<em />
From the graph, we have the following highlights
- Quadrilaterals 2, 3 and 4 are congruent
- Quadrilateral 1 does not have equal measure with any of the other quadrilaterals.
Hence, the first three statements are not congruent, while the last statement is congruent.
Read more about congruent shapes at:
brainly.com/question/24430586
