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3 years ago

Rationalize the denominator and simplify. 5/4-√3

1 answer:

4 0

I assume the denominator is (4-√3)
Multiple both top and bottom by (4+√3)
[5(4+√3)]/[(4-√3)(4+√3)]
=[20+5√3]/[4²-(√3)²]
=[20+5√3]/13

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What is the slope of the line?<br> y + 5 = 2(x + 1)

VikaD [51]

Answer:

The slope is 2

Step-by-step explanation:

Equation of line is y = mx + b

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3 years ago

How do I factor (x^2 + 1)^1/2 +2(x^2 + 1)^1/2

professor190 [17]

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This is what I would think to do with such an expression;
It should be alright to leave it as it is on the last line as this should be its simplest form;
But, you could write it out as:
$\frac{(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)^{ \frac{1}{2}}} \\\\
= \frac{(x^{2} \ + \ 3)}{ \sqrt{(x^{2} \ + \ 1)}}$

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3 years ago

MATH HELP 5 QUESTIONS!!!!!!!!

Alexandra [31]

1.y<=1-3x, the slope is the number with x so -3, and the y intecept is the lone number so -1 becuase the symbol includes equal to, the graph would have a solid line that passes through (0,1) and since it is also less than the shaded region would be below the line so the answer is D

2. -1x2 = -2 +-1 = -3 which is greater than -3, the answer is A

3. y-2x =-3, -1 - 2(1) = -1-2 = -3 this is less than or equal to -3. Answer is D

4 the symbol is greater than or equal to, so it would be a solid line with the shaded portion to the right of the line, Answer is A

5. the symbol is just greater than so the line would be dotted and the answer is negative (-6) so the shaded are would be to the left of the dotted line, the answer is D

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3 years ago

It's easy it's called Two-way tables please help

Vesnalui [34]

Answer: The filled out table is shown below in the attached image

===========================================================

Explanation:

The letters A through J are one way to fill out the table. Though there are other possible orders.

Start at letter A, which is from the fact we have 40 people total

Then move to letter B. This is the total number who like pasta (26)

We have C = A-B = 40-26 = 14 people who don't like pasta

--------------

Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.

F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.

Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.

----------------

So we have these values

A = 40
B = 26
C = 14
D = 21
E = 19
F = 4
G = 17
H = 9
J = 10

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3 years ago

The perimeter of the triangle below is 8x - 6.

Vikentia [17]

Answer:

QR = 4x - 6

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.

From the question:

Perimeter of triangle PQR = PQ + PR + QR

But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.

Therefore substituting gives:

8x - 6 = (x + 1) + (3x - 1) + QR

8x - 6 = (x + 3x + 1 - 1) + QR

8x - 6 = 4x + QR

QR = (8x - 6) - 4x

QR = 4x - 6

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3 years ago