For what values of x is the expression below defined?√2x^2 divide by √5x

a/x=0
b.x<0
c.x>0
d.x<1

Answers

Answer 1
Answer: √(2x^2):√(5x)\n\n2x^2\geq0\ \wedge\ x > 0\n\nx^2\geq0\ \wedge\ x > 0\n\nx\in\mathbb{R}\ \wedge\ x > 0\Rightarrow x > 0\ (x\in\mathbb{R^+})\n\nAnswer:c.\ x > 0

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The perimeter of the scalene triangle is 54.6 cm.Which equation can be used to find the value of b if side a measures 8.7 cm?

8.7 + b = 54.6
17.4 + b = 54.6
26.1 + b = 54.6
34.8 + b = 54.6

Answers

the correct question is
The perimeter of the scalene triangle is 54.6 cm.
Which equation can be used to find the value of b if side a measure 
8.7 cm and side c measure 26.1 cm?

we know that
the perimeter of a triangle is equal to

P=a+b+c \n P=54.6 cm equation 1

P=a+b+c \n P=8.7+26.1+b equation 2

equate equation 1 and equation 2
54.6=(8.7+26.1)+b \n 54.6=34.8+b

therefore

the answer is the option D
34.8 + b = 54.6

Answer:The correct answer is :

34.8 + b = 54.6

Step-by-step explanation:

The perimeter of the scalene triangle =  Sum of length of all sides

Given that perimeter of the scalene triangle = 54.6 cm

a = 8.7 cm , c = 26.1 cm

a + b + c= 54.6 cm

8.7 cm + b + 26.1 cm= 54.6 cm

34.8 cm+b = 54.6 cm

From the given options the correct answer is:

34.8 cm+b = 54.6 cm

Jerry had an average score of 85 on his first 8 quizzes. He had an average score of 81 on his first nine quizzes. What score did he earn on his ninth quiz? side note: I got 49 the first time i tried it but when i checked it, it was wronfg

Answers

Well, let's calculate how many points in total he got so far!

He did 8 quizzes, on average 85 points: 85*8=680 points.

He scored a number of points in his ninth quiz, let's call this number "x".

If we want to calculate the average after the ninth quiz, we take the sum of points then (which is 680+x) and we divide it by 9:

(680+x)/9

we also know that this is equal to 81:

(680+x)/9=81

((680+x))/(9)=81

multiply both sides by 9:

(680+x)}=729

substracting 680 from both sides:

x=49

well, i got 49 too.

I really can't see where the mistake could be?

where did you check it? my best guess is that the place where you checked it had a typo...?

If f(x) = 2x2 +5/(x-2),(the / means square root, not divide) complete the following statement: The domain for f(x) is all real numbers___than or equal to 2.

Answers

Answer:

Greater

Step-by-step explanation:

The domain for f(x) is all real numbers greater than or equal to 2.

x>=2

Activity 4: Factor Then solve1. x^2+7x=0
2. 6s^2+18s=0
3. t^+8t+16=0
4. x^2-10x+25=0
5. h^2+6h=16
6. x^2-14=5x
7. 11r+15=-2r^2
8. x^2-25=0
9. 81-4x^2=0
10. 4s^2+9=12s


PLEAAASE HELP ME!

Answers

very complex, you should ask each individual question, or give more points
general strategy:
get 1 side to equal 0
factor
set each factor to 0
solve


1. factor out the x and set each to zero
x(x+7)=0
x=0

x+7=0
subtract 7
x=-7
x=0 or -7



2. factor out the 6s
6s(s+3)=0
6s=0
s=0

s+3=0
subtract 3
s=-3
s=-3 or 0



3.  I'm assuming that the equation was supposed to be t^2+8t+16 so
find what 2 numbers multiply to get 16 and add to get 8
the numbers are 4 and 4
factor
(x+4)(x+4)=0
x+4=0
subtract 4
x=-4




4. find what 2 numbers multipy to get 25 and add to get -10
the numbers are -5 and -5
factor
(x-5)(x-5)=0
set each to zero
x-5=0
add 5
x=5



5. subtract 16 from both sides
h^2+6h-16=0
find what 2 numbers multiply to get -16 and add to get 6
the numbers are -6 and 10
factor
(h-6)(h+10)=0
set each to zero
h-6=0
add 6
h=6

h+10=0
subtract 10
h=-10
h=-10 or 6



6.subtract 5x from both sides
x^2-5x-14=0
find what 2 numbers multiply to get -14 and add to get -5
the numbers are -7 and 2
factor
(x-7)(x+2)=0
set each to zero
x-7=0
add 7
x=7

x+2=0
subtract 2
x=-2
x=-2 or 7




7.add 2r^2 to both sides
2r^2+11r+15=0
difficult so multiply 2 and 15 and get 30
not factor and find what 2 numbers multiply to get 30 and add to get 11
the numbers are 5 nd 6
split 11 up into 5 and 6
2r^2+6r+5r+15=0
group and factor
(2r^2+6r)+(5r+15)=0
factor
2r(r+3)+5(r+3)=0
reverse distribute
(2r+5)(r+3)=0
set each to zero
2r+5=0
subtract 5
2r=-5
divide 2
r=-5/2

r+3=0
subtract 3
r=-3
r=-3 or -5/2




8. this is a difference of 2 perfect squares in which if you have
x^2-y^2 that factors out of (x-y)(x+y) so
x^2-25=0
x^2-5^2=0
(x-5)(x+5)=0
set each to zero
x-5=0
add 5
x=5

x+5=0
subtract 5
x=-5
x=-5 or 5



9. differnce of 2 perfect squares
81-4x^2=0
9^2-(2x)^2=0
(9-2x)(9+2x)=0
set each to zero
9-2x=0
add 2x to both sides
9=2x
divde 2
9/2=x

9+2x=0
subtract 9 from both sidees
2x=-9
divide 2
x=-9/2
x=-9/2 or 9/2


10. subtract 12s from both sides
4s^2-12s+9=0
multiply 4 and 9 and get 36
find what 2 numbers multiply to get 36 and add to get -12
the numbers are -6 and -6
split up the -12s into -6s and -6s
4s^2-6s-6s+9=0
group
(4s^2-6s)+(-6s+9)=0
factor
2s(2s-3)+(-3)(2s-3)=0
reverse distribute
(2s-3)(2s-3)=0
set each to zero
2s-3=0
add 3
2s=3
divide 2
s=3/2









ANWERS:
1. x=0 or -7
2. s=-3 or 0
3. x=-4
4. x=5
5. h=-10 or 6
6. x=-2 or 7
7. r=-3 or -5/2
8. x=-5 or 5
9. x=-9/2 or 9/2
10. s=3/2

The ratio of daisies to roses in a garden is 20:1. Does this garden have more roses or more daises in the garden

Answers

Answer:

daisies

Step-by-step explanation:

this garden has more daisies than roses

If sin Θ = 2 over 3 and tan Θ < 0, what is the value of cos Θ?square root 5 over 2

negative square root of 5

square root of 5 over 3

negative square root of 5 over 3

Answers

if sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative. Using the calculator, the answer is -0.7454. This is equivalent to option D. negative square root of 5 over 3

If sin Θ = 2 over 3 and tan Θ < 0, then the value of cos Θ = - (√5) / 3

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!

If \sin \theta = 2 / 3 , then :

\text{opposite = 2}

\text{hypotenuse = 3}

We can calculate adjacent by using Pythagorean theorem .

adjacent^2 = hypotenuse^2 - opposite^2

adjacent^2 = 3^2 - 2^2

adjacent^2 = 9 - 4

adjacent^2 = 5

adjacent = √(5)

Finally we can calculate the value of cos Θ in the following way :

\cos \theta = -\text{adjacent / hypotenuse}

\large {\boxed {\cos \theta = (-√(5))/(3)} } }

We give a negative sign because tan Θ < 0, and this means the angle is between 90° and 180°

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse