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4 years ago

Can someone help me with this?

Mathematics

1 answer:

Mice21 [21]4 years ago

8 0

35, 45, 50 all work. Multiply them to 1/5 and all are greater than or equal to 7.

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I NEED HELP PLS THIS IS DUE IN 3 HOURS

Mariulka [41]

Answer:

Part 1) $x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})$

Part 2) $x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

Part 1)

in this problem we have

$x^{2} -2x-2=0$

$a=1\\b=-2\\c=-2$

substitute in the formula

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}\\\\x=\frac{2(+/-)\sqrt{12}} {2}\\\\x=\frac{2(+/-)2\sqrt{3}} {2}\\\\x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}\\\\x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}$

therefore

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

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

Part 2)

in this problem we have

$x^{2} -6x+4=0$

$a=1\\b=-6\\c=4$

substitute in the formula

$x=\frac{-(-6)(+/-)\sqrt{-6^{2}-4(1)(4)}} {2(1)}$

$x=\frac{6(+/-)\sqrt{20}} {2}$

$x=\frac{6(+/-)2\sqrt{5}} {2}$

$x_1=\frac{6(+)2\sqrt{5}}{2}=3+\sqrt{5}$

$x_2=\frac{6(-)2\sqrt{5}}{2}=3-\sqrt{5}$

therefore

$x^{2} -6x+4=(x-(3+\sqrt{5}))(x-(3-\sqrt{5}))$

$x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})$

5 0

4 years ago

A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?

elena-s [515]

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder = 18mm

radius = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

Volume = π r ² h

Insert the given parameters and solve;

Volume = 3.14 x 18² x 18

Volume = 18312.5mm³

6 0

3 years ago

Read 2 more answers

Find the scale factor please.

torisob [31]

Answer:

5/2

Step-by-step explanation:

The scale factor for linear measures, such as perimeter, is the square root of the scale factor for areas. The ratio of larger area to smaller is ...

... 75/12 = 25/4

so the ratio of the larger perimeter to the smaller is ...

... √(25/4) = 5/2

3 0

4 years ago

9/10-3/14_____<br><br> Simplest form

Lera25 [3.4K]

10=2×5 and 14=2×7 so least common denominator will be 2×5×7=70
9/10=63/70
3/14=15/70
So 63/70-15/70=48/70=24/35

3 0

4 years ago

How many hours are in a fortnight (2 weeks)? 1 week = 3.33 cm 100 cm= 1 meter 1 inch= 2.54 cm 1 ft = 12 in

Ugo [173]

Answer:

336 hours

Step-by-step explanation:

24 hours for 1 day

14 days in 2 weeks

24*14=336

6 0

3 years ago