Select the correct answer.
Solve the quadratic equation given below.

Answer:

r = [tex]\sqrt{\frac{a}{3}}[/tex]

Step-by-step explanation:

1. A = 3r²

(Divide 3 by both sides)

2. A/3 = r²

(Square root both sides)

√A/3 = r

On solving for 'r' we get -  r = [tex]\sqrt{\frac{A}{3} }[/tex].

We have the following expression -

[tex]$A=3r^{2}[/tex]

We have to solve for r.

On solving, we get -

x = [tex]$\pm\sqrt{9}[/tex]

x = [tex]$\pm3[/tex]

According to the question, we have -

[tex]$A=3r^{2}[/tex]

[tex]$r^{2} = \frac{A}{3}[/tex]

r = [tex]\pm\sqrt{\frac{A}{3} }[/tex]

Since, the area cannot be negative, therefore -

r = [tex]\sqrt{\frac{A}{3} }[/tex]

Hence, on solving for 'r' we get -  r = [tex]\sqrt{\frac{A}{3} }[/tex].

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Answer:

B. Find the area of the triangle PQR.

Answer:

LCD = 60

BRAINLIEST, PLEASE!

Step-by-step explanation:

All of the denominator numbers are multiples of 60, and since 60 is also equal to the largest denominator number, it's the LCD.

9514 1404 393

Answer:

  15 in, 30 in, 30 in

Step-by-step explanation:

Let x represent the length of the smallest side. Then the other two sides are (x+15) and (2x). The perimeter is the sum of the side lengths:

  x +(x +15) +2x = 75

  4x = 60

  x = 15 . . . . . . . . . . . shortest side

  (x+15) = 30 . . . . . . second side

  (2x) = 30 . . . . . . . third side

The shortest side is 15 inches, the second side is 30 inches, and the third side is 30 inches.

Answer:

x=950

Step-by-step explanation:

550+400=x

Answer:

Option(c) 34m

Step-by-step explanation:

Perimeter of a rectangle = 2(length + breadth)

length = 12m

breadth/width = 5m

Perimeter = 2(12 + 5)

                = 2(17)

                = 34m

Answer:

34

you just add, 12+5+12+5 to get 34

Answer:

y = x

Step-by-step explanation:

Rate of change is also known as the gradient of a curve and denoted as "m".

If the rate of change is equal to one then "m" is equal to 1

In the general equation of a straight line:

y = mx + c

this would look like:

y = 1x

If it passes through the origin it intercepts the y-axis at 0 so c = 0

y = x + 0

or

y = x

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Hi ;-)

This angle is

Answer:

This is an obtuse angle

Step-by-step explanation:

Anything over 90 degrees is obtuse

Step-by-step explanation:

Given: [tex]x^5w + w^7 + wz^2 + 8yz = 0[/tex]

Taking the partial derivative of the above equation with respect to z, we get

[tex]x^5\dfrac{\partial{w}}{\partial{z}} + 7w^6\dfrac{\partial{w}}{\partial{z}} + z^2\dfrac{\partial{w}}{\partial{z}} + 2z + 8y =0[/tex]

Collecting all terms containing [tex]\frac{\partial{w}}{\partial{z}},[/tex] we get

[tex](x^5 + 7w^6 + z^2)\dfrac{\partial{w}}{\partial{z}} = -2(z + 4y)[/tex]

Then

[tex]\dfrac{\partial{w}}{\partial{z}} = \dfrac{-2(z + 4y)}{x^5 + 7w^6 + z^2}[/tex]

The derivative using implicit differentiation can be calculated and after rearranging the terms.

Implicit differentiation is the technique in which the derivative of y with respect to x using implicit differentiation without having to solve the supplied equation for y.

We have:

[tex]\rm x^5w+w^7+wz^2+8yz=0[/tex]

We have to find the:

= ∂w/ ∂z

[tex]\rm \dfrac{\partial }{\partial z}[\rm x^5w+w^7+wz^2+8yz=0][/tex]

[tex]\rm x^5\dfrac{\partial w}{\partial z} +7w^6\dfrac{\partial w}{\partial z}+z^2\dfrac{\partial w}{\partial z}+2z+8y=0[/tex]

After rearranging the terms:

[tex]\rm (x^5 +7w^6+z^2)\dfrac{\partial w}{\partial z}= -2(z+4y)[/tex]

[tex]\rm \dfrac{\partial w}{\partial z}= \dfrac{-2(z+4y)}{x^5 +7w^6+z^2}[/tex]

Thus, the derivative using implicit differentiation can be calculated and after rearranging the terms.

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Answer:

The total weight of Luigi's inventory if he collects 27 socks is 39.91 grams.

Step-by-step explanation:

Here is how you solve this problem:

1. Replace the variable for 27.

i = [tex]\frac{4}{3} 27 + 3\frac{2}{2}[/tex]

2. To make the equation easier, let's transform this fraction and mixed number into decimals.

4/3 = 4 ÷ 3 = 1.33

3 2/2 = 8/2 = 8 ÷ 2 = 4

3. Now, let's rewrite this equation.

i = 1.33 x 27 + 4

4. It's time to solve the equation.

i = 35.91 + 4

i = 39.91

Therefore, the total weight of Luigi's inventory if he collects 27 socks is 39.91 grams.

Try this option:

only periodical functions have many zeros, that is why y=sinx and y=cosx are the correct answer.

The functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

The two functions with infinitely many zeros from the given list of twelve basic functions are y = x and y = x³

The function y = x has infinitely many zeros because any value of x that equals zero will result in y also being zero.

In other words, for every x value of 0, the corresponding y value is also 0.

This makes the function pass through the origin (0, 0) and have an infinite number of zeros.

2. The function y = x³ also has infinitely many zeros because the cube of any real number is zero if and only if the number itself is zero.

This means that for every x value of 0, the corresponding y value is also 0. Hence, the function y = x³ passes through the origin (0, 0) and has an infinite number of zeros.

In summary, the functions y = x and y = x³ have infinitely many zeros. These functions pass through the origin and have a unique property that allows them to intersect the x-axis an infinite number of times.

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Answer:

The rational numbers are the numbers can be expressed in the form of

Let's see the answer choices:

F The sum of two rational numbers is also a rational number

G 0 is not a rational number.

H The product of two rational numbers is also a rational number.

J The opposite of a rational number is also a rational number.

Answer:

Answer :-

F. The sum of two ration number is a rational number.

Eg - 1/2 + (-1)/3

3 - 2/3 = 1/3

G. 0 is not a rational number

False. Because 0 can't be represented as p/q form.

H. The product of two rational numbers is also a rational number.

True.

Eg - 1/2 × 3/4 = 3/8

J.The opposite of a rational number is also a rational number.

True. Eg - 1/2 and 2/1

Answer:

x = 36

Step-by-step explanation:

multiply 4 and 9.5 to get the total amount.

38 = 14.5 + (-8) + (-4.5) + x; hence x is 36.

Answer: x=36

Step-by-step explanation:

To solve this question, we first want to know what mean is. Mean is the same as the average. You take the sum and divide it by the amount. Since we know there are 4 numbers and the mean, we can easily find the value of x.

[tex]\frac{14.5-8-4.5+x}{4} =9.5[/tex]               [multiply both sides by 4]

[tex]14.5-8-4.5+x=38[/tex]       [combine like terms]

[tex]2+x=38[/tex]                          [subtract both sides by 2]

[tex]x=36[/tex]

Now, we know that x=36.

Answer:

I hope it helped U

stay safe stay happy

Answer:

Step-by-step explanation:

Answer:

i dont get what youre asking

Step-by-step explanation:

Answer:

2n + 3

Step-by-step explanation:

n = number

Sum of twice a number (2n) and (3)

-> 2n + 3

Answer:

-4

Step-by-step explanation:

Should be lah, cuz the others like y and x2 are variables

Answer:

ummm is that a thing

Step-by-step explanation:

Step-by-step explanation:

A

this is the combination of a 4×6 rectangle and a 2×2 square. nothing is excluded.

so, the area is

(6-2)×6 + 2×2 = 4×6 + 4 = 24 + 4 = 28 cm²

B

this is the area of the large 8×5 rectangle minus the area of the small 2×3 rectangle.

so the area is

8×5 - 3×2 = 40 - 6 = 34 cm²

C

Basically the same thing as for B. large rectangle minus smaller rectangle.

so, the area is

15×10 - 9×6 = 150 - 54 = 96 cm²

D

the area of a triangle is

baseline × height / 2

or baseline here is 2×8, and the height is 5

so we get the area

2×8 × 5 / 2 = 8×5 = 40 cm²

Answer:

$175

Step-by-step explanation:

$60÷3÷4 =5

$5 is the cost of one adult's food for one day.

$5×7×5

=$175

$175 is the cost of food consumed by 7 adults for 5 days.

Answer:

Perimeter=14

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

3 to the power of 4 is 81

Step-by-step explanation:

Answer:

Answer:

C

E

Step-by-step explanation:

Its must be a rectangle

Perimeter:-

[tex]\\ \sf\longmapsto 2(L+B)[/tex]

[tex]\\ \sf\longmapsto 2(3+7)[/tex]

[tex]\\ \sf\longmapsto 2(10)[/tex]

[tex]\\ \sf\longmapsto 20cm[/tex]

Area:-

[tex]\\ \sf\longmapsto Length\times Breadth[/tex]

[tex]\\ \sf\longmapsto 3(7)[/tex]

[tex]\\ \sf\longmapsto 21cm^2[/tex]

Answer:

Length=3cm

breadth=7cm

Area(A)=?

we know that,

Area of rectangle (A)=l*b

=3cm*7cm

= 21cm^2

Now,

Perimeter (P)= 2(l+b)

=2(3cm+7cm)

=2*10cm

=20cm Ans.

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:

p/sinP = q/sinQ = r/sinR

Given the following parameters

sinQ=2/5, sinR=1/3, and q=6.

6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5

Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

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It's likely that curve A is f and curve B is f '.

The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.

Answer:

M

Step-by-step explanation:

M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation: