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3 years ago

Find the missing lengths and leave answers as radicals in simplest form?

Mathematics

2 answers:

ElenaW [278]3 years ago

5 0

Answer:

x=6

y=3

Step-by-step explanation:

y(side)= x

x(side)=2x

3rd side (3 $\sqrt{3}$ ) = x $\sqrt{3}$

x=3;

x= 2(3)=6

y=(3)=3

Daniel [21]3 years ago

4 0

Answer:

x = 6 ; y = 3

Step-by-step explanation:

x = 2y

4y² = y² + 27

3y² = 27

y² = 9

y = 3 and x = 6

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Find all of the points of the form (x −1) which are 4 unit from the point (3,2)

Bond [772]

Answer:

$(3+2\sqrt{2},2+2\sqrt{2}),(3-2\sqrt{2},2-2\sqrt{2})$

Step-by-step explanation:

$Points\ are\ of\ the\ form\ (x,x-1)\\\\Distance\ of\ these\ points\ from\ (3,2)=4\\\\\sqrt{(x-3)^2+(x-3)^2}=4\\\\\sqrt{(x-3)^2+(x-1-2)^2}=4\\\\\sqrt{2(x-3)^2}=4\\\\2(x-3)^2=16\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ square\ both\ the\ sides\\\\(x-3)^2=\frac{16}{2}\\\\(x-3)^2=8\\\\(x-3)=\pm 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ \ square\ root\ both\ the\ sides\\\\x=3\pm 2\sqrt{2}\\\\When\ x=3+2\sqrt{2}\ \ \Rightarrow x-1=3+2\sqrt{2}-1=2+2\sqrt{2}\\\\When\ x=3-2\sqrt{2}\ \ \Rightarrow x-1=3-2\sqrt{2}-1=2-2\sqrt{2}$

4 0

3 years ago

the number of hours h that it takes for ice to malt varies inversely with the temperature t it takes 3hours for a piece of ice t

Reptile [31]

Answer:

Step-by-step explanation:

Formula

h = k/temp

Givens

h = 4 hours

t = 45 degrees

Solution

3 = k / 45 Multiply both sides by 45

3*45 = k

k = 135

Problem

what happens when h = 4 hours?

h = 4

k = 135

temp = ?

4 = 135 / temp Multiply both sides by temp

4temp = 135 Divide by 4

temp = 135 / 4

temp = 33.75

Note that as the time went up, the temperature came down

6 0

2 years ago

Show that (x+1) is a factor of f(x)=19x^42+18x-1

Dmitry_Shevchenko [17]

Answer:

see explanation

Step-by-step explanation:

If (x + 1) is a factor then f(- 1) = 0

f(- 1) = 19 $(-1)^{42}$ + 18(- 1) - 1 = 19 - 18 - 1 = 0

Thus (x + 1) is a factor of f(x)

6 0

3 years ago

33 points!!!!

lakkis [162]

I think it is 4 divided by 5 which equals 4/5 pieces of gum for everyone. (Hope I helped :D and hope I got it right ;D)

4 0

3 years ago

Can someone please help me

posledela

Answer:

I think it would be the last one

5 0

3 years ago