What is the length of 3rd side of each triangle?

Answer:

[tex] x =\pm \sqrt{26}[/tex]

Step-by-step explanation:

Given :-

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

Equation :-

[tex]\implies log_e {(x^2-25)}= 0 [/tex]

In general :-

[tex]\implies log_a b = c [/tex]

Then this can be written as ,

[tex]\implies a^c = b [/tex]

In a similar way we can write the given equation as ,

[tex]\implies e^0 = x^2 - 25 [/tex]

[tex]\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}[/tex]

Hence the Solution of the given equation is ±√26.

Answer:

i am not 100% sure but i think it would be C

Answer:

D.) 12/5

Step-by-step explanation:

tangent is opposite over the adjacent side so the opposite of x is 24 and the adjacent is 10 so 24/10 divided by 2 gets you 12/5

Answer: it is the 4 one which is 3(5-n)=2n+16

Answer:

250

Step-by-step explanation:

Answer:

250 withdraws per machine

Step-by-step explanation:

8,000,000/32,000

The word "per" indicates division/multiplication.

The equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12) is y = 4x/5 + 8.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The line 5x-4y=10.

Simplifying,

y = (-5/4)x + 5/2

Comparing with the slope-intercept form,

y = mx + b,

where m is the slope and b is y-intercept.

The slope is = -5/4

The slope of the perpendicular line,

= negative reciprocal of the slope of the line where the line is perpendicular.

= 4/5

So, the line:

If a line passes through one point (x₁ ,y₁) and have slope m,

then the equation of line is

y - y₁ = m (x - x₁)

y - 12 = (4/5)(x-5)

y = 4x/5 + 8

Therefore, the equation of the line is y = 4x/5 + 8

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b because you are dividing

Answer: D (3:7)

Step-by-step explanation:

You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.

56/8 = 7
24/8 = 3

Answer:

4

Step-by-step explanation:

→ –36 – ( –40 )

→ –36 + 40

→ 4

[tex] \therefore [/tex] 4 is the required answer.

(A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

So, we have the equation:

x²+ 3x - 4 = 0

By dividing the center term, this quadratic equation can be reduced to its simplest form.

The result of dividing the middle word is:

x² + 4x - x - 4 = 0

One way to spell it is as:

x (x + 4) - 1 (x + 4) = 0

Now, we obtain:

(x + 4) (x - 1) = 0

Therefore, (A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

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Correct question:

Which of the following is the correct factored form of the given equation x2+ 3x - 4 = 0?

(A) (x +4) (x - 1) = 0

(B) (x - 4) (x - 1) = 0

(C) (x - 4) (x +1)= 0

Answer:

12?

Step-by-step explanation:

Answer:

Use the image as an example

Step-by-step explanation:

Use this image as an example to solve it may help.

Hopefully this helps:)

Answer:

Function Domain and Range

g(x)=\sqrt{x} -5

what is the range and domain

To find the range of g(x), we can substitute a few values of x into the expression for g(x) to see what the output is. For example, when x = 0, g(x) = sqrt(0) - 5 = 0 - 5 = -5. When x = 1, g(x) = sqrt(1) - 5 = 1 - 5 = -4. When x = 2, g(x) = sqrt(2) - 5 = 1.4142 - 5 = -3.5858.

As we can see, the output of g(x) is always a negative number for any value of x in the domain. Therefore, the range of g(x) is the set of all negative real numbers, or (-infinity, 0).

So, the domain of g(x) is all real numbers x such that x >= 0, and the range of g(x) is all negative real numbers (-infinity, 0).

An example that contradicts this definition would be an ellipse that set all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

A circle is defined as the set of all points that are the same distance from one given point, called the center of the circle. An example that contradicts this definition would be an ellipse, which is defined as the set of all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

An ellipse is not a circle since all points of an ellipse are not equidistant to the center point

To make the definition more accurate, it could be modified to say "A circle is defined as the set of all points that are a fixed distance from one given point, called the center of the circle." or "A circle is defined as the set of all points such that the distance between the point and the center is constant"

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Answer:

2034.72 units²

Step-by-step explanation:

Formula for surface area of a cylinder is:

2πrh + 2πr²

The radius is 12 and the height is 15, so we plug it in:

2π(12·15) + 2π(12)²

2π(12·15) + 2π(12)²=2034.72.

Answer: C. 12

Step-by-step explanation: Hope this help :D

Based on the 2:5 quantity of concentrate and water, the amount of water required for 90 mililitres will be 225 mililitres of water.

Firstly we will be creating the ratio for the mentioned information. It will be as follows-

Amount of concentrate/Amount of water

The proportion will be -

2/5 = 90/Concentration of water

Concentration of water = 90×5/2

Now perform multiplication in numerator on Right Hand Side of the equation

Concentration of water = 450/2

Then work out the division on Right Hand Side of the equation

Concentration of water = 225 mililitres

Thus, the required amount of water is 225 mililitres.

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Answer:

8) 1/3, 0.33, 33 1/3%

9) 2/3, 0.67, 66 2/3%

Step-by-step explanation:

Step-by-step explanation:

215÷3=71

143÷6=23.9

71+23.9+60=154.9

Answer:

5√2

Step-by-step explanation:

Hello!

To simplify the radical, we can identify perfect square factors in the radicand or the number inside the square root.

We know that 50 is 25 times 2, so we can expand the radical like this...

Now we can simplify each radical:

The simplified form is 5√2.

Answer:

[tex]11\pi[/tex]

Step-by-step explanation:

[tex]s = r \times theta[/tex]

where r is the radius.

The radius is 11 and theta(in radians) is pi so

[tex]s = 11\pi[/tex]

Answer:

1/4

Step-by-step explanation:

In a box plot, each whisker represents  

1

4

of the data. So,  

1

4

of the boats could support 12 or more pennies.

The pennies can be added to the boat before it sinks is 10.

Volume is a degree of occupied three-dimensional area. its miles are regularly quantified numerically with the use of SI-derived devices or with the aid of various imperial devices. The definition of the period is interrelated with the extent.

here, we have,

Density is the substance's mass according to a unit of volume. The image most customarily used for density is ρ, even though the Latin letter D also can be used. Mathematically, density is described as mass divided with the aid of the extent

Mass of  aluminum boat = 16.5 gram

Volume = 425 cm³

Density = mass/ volume

           = 16.5/425

           = 0.039 gcm⁻³  

The density of water and boat must be equal or more in order of sinks.

The density of water = 1 gcm⁻³

1  gcm⁻³ = mass × 0.039

mass = 1/ 0.039

mass = 25.64 g

A total of 25.64 grams of mass can be added.

mass of each penny = 2.5 g

Therefore the total number of pennies that can be added is = 25.64 /2.5

                                                                                                      = 10.256

Taking the whole number = 10 pennies can be added o the boat before it sinks

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Answer:

7 months

Step-by-step explanation:

Spotify is better
Have a great day

Answer:

Rational

Step-by-step explanation:

Answer:

4multiply by 10 lolllllllll

Answer:

20 each

Step-by-step explanation:

10 x 4 = 40 40 - 20 = 20

Answer:

Step-by-step explanation:

65 minutes

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

I have no idea

Step-by-step explanation:

The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5