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Rzqust [24]
3 years ago
13

How do you rationalise this surd?

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
8 0

(√2 + √6)/2

To rationalise the denominator multiply the numerator/ denominator by √2

= ( 1 + √3)/√2 × √2/√2 = (√2 + √6)/2


Ksivusya [100]3 years ago
5 0

\frac{1 +  \sqrt{3} }{ \sqrt{2} }   \times  \frac{ \sqrt{2} }{ \sqrt{2} } =  \frac{ \sqrt{2}  +  \sqrt{6}  }{2}
here you go
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Which of the following expressions is equivalent to (–7)5?
Vinvika [58]

Answer:

A

Step-by-step explanation:

(-7)5 is the same as saying you're multiplying -7 5 times by its self.

Hope this helps!!

5 0
3 years ago
CAN U HELP I HAVE NO IDEA AND PLEASE TELL ME HOW TO GIVE BRAINLY
gayaneshka [121]

Answer:

The slope is 3

Step-by-step explanation:

Slope= (y2-y1)/(x2-x1)

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8 0
3 years ago
Read 2 more answers
Help? I’m not really understanding this.
Harlamova29_29 [7]

Answer:

x = 109

Step-by-step explanation:

(x + 12) \degree + 59 \degree = 180 \degree \\ (sum \: of \: exterior \: angles \: on \: same \: side \:  \\ of \: transversal) \\ (x + 71) \degree  = 180 \degree \\ x + 71 = 180 \\ x = 180 - 71 \\ \purple{ \bold{ x = 109}}

8 0
3 years ago
What is the inverse of the function f(x) = x +3?
KatRina [158]
Next time please add answer choices 

f(x) = y = x+3, Consider y=x+3. You just switch x and y:
 so y= x+3, becomes x=y+3. Once done, you isolate y:
x=y+3 or y = x-3. This this the inverse function of f(x)
5 0
3 years ago
Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?
Vedmedyk [2.9K]
W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)
3 0
3 years ago
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