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3 years ago

Find all of the points on the x-axis which are 6 units from the point (−1, 1).

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

All the points that are 6 units from (-1, 1) are those on the circle
(x+1)^2 +(y-1)^2 = 36

For y=0, the two points of interest satisfy
(x+1)^2 +1 = 36
(x+1)^2 = 35 . . . . . . subtract 1
x+1 = ±√35
x = -1±√35

The points you seek are (-1-√35, 0) and (-1+√35, 0), about (-6.916, 0) and (4.916, 0).

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Simplify the expression. <img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B1%2B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" t

REY [17]

Answer:

Step-by-step explanation:

Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.

Conjugate of the denominator 1 + √3 is 1 - √3

$\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}$

3 0

3 years ago

The table shows the ratio of nuts to raisins in different snack mixes.

stellarik [79]

Answer:

figure 3

Step-by-step explanation:

see attached

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and y coordinates is the raisings

5 0

2 years ago

Read 2 more answers

The Dowers make pumpkin pie. If each person wants three slices of pie, and each pie is Cut into 9 slices, how many pies do they

Mrac [35]

The Dowers need to make 5 pies for 15 people.

Step-by-step explanation:

Given,

1 person = 3 slices of pie

15 persons = 15*3 = 45 slices of pie

It is also given that;

9 slices of pie = 1 whole pie

1 slice of pie = $\frac{1}{9}\ pie$

45 slices of pie = $\frac{1}{9}*45$

45 slices of pie = 5 whole pies

The Dowers need to make 5 pies for 15 people.

Keywords: multiplication, division

Learn more about multiplication at:

#LearnwithBrainly

7 0

3 years ago

Pleaseeee help meee i dont understand

prohojiy [21]

-(5y) - y = 18
-6y = 18
y = -3
x = 5(-3)
x = -15
(-15, -3)

5x + 4(-7x - 3) = -35
5x -28x -12 = -35
-23x = -23
x = 1
y = -7(1) - 3
y = -10
(1,-10)

3 0

2 years ago

Maya runs a farm stand that sells raspberries and blueberries. Each pound of raspberries sells for $1 and each pound of blueberr

aniked [119]

30 pounds of raspberries and 50 pounds of blueberries are sold

Solution:

Let "a" be the pounds of raspberries sold

Let "b" be the pounds of blueberries sold

Cost per pound of raspberry = $ 1

Cost per pound of blue berry = $ 3.25

Maya made $192.50 from selling a total of 80 pounds of raspberries and blueberries

Therefore,

a + b = 80

a = 80 - b ------- eqn 1

Maya made $192.50. Therefore, frame a equation as:

pounds of raspberries sold x Cost per pound of raspberry + pounds of blueberries sold x Cost per pound of blue berry = 192.50

$a \times 1 + b \times 3.25 = 192.50$

a + 3.25b = 192.50 ------ eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

80 - b + 3.25b = 192.50

2.25b = 192.50 - 80

2.25b = 112.5

Divide both sides by 2.25

b = 50

Substitute b = 50 in eqn 1

a = 80 - 50

a = 30

Thus 30 pounds of raspberries and 50 pounds of blueberries are sold

3 0

3 years ago