Hi! So, I know I got this answer wrong, but I wasn't sure how to solve an equation with signs like: [brackets] in it, I've included my problem as an example, but can someone please teach me what those brackets mean, and how do I go about solving an equation (using this problem as an example) with brackets like these?

Answer:

This is my answer:

Step-by-step explanation:

Answer:

A function

Step-by-step explanation:

A function is a relation in which each element of the domain is paired with exactly one element of the range.

Answer:

3

Step-by-step explanation:

When you divide 27 by 3 it will give you 9 and the square root of 9 gives you a perfect answer indicating that 3 is the least number that must be divided into 27

Answer:

[tex]\fbox {3}[/tex]

Step-by-step explanation:

First, prime factorize 27 :

⇒ 27 = 3 × 3 × 3

If 27 was divided by 3, it would give 3 × 3, which would give 9, a perfect square.

Mitch and Terry were 0.5 km away from the scenic cliff

Sea level is the base for calculating the depth and the elevation of Earth

It is given that

Total Height of the scenic Cliff = 6.6km

After 1 hour the brothers are at = 6.6 - 1.3 km = 5.3 km from the sea level.

They climb back 0.8 km in the next hour so they will be

5.3 +.8 = 6.1 km from the sea level

6.6 - 6.1 = 0.5 km

Therefore the brothers are 0.5 km away from the scenic cliff

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Answer:

below

Step-by-step explanation:

7(x-3)+2(xy-3y)

I'm positive it's the correct answer

[tex]\tan 61^{\circ}=\frac{59}{x}\\\\x=\frac{59}{\tan 61^{\circ}} \approx \boxed{32.7}[/tex]

Answer:

Given:

Let, the slope of the line passing through the point ( m) = -2

The line passing through the point M(-1,-3)= (x1 , y1)

The equation of the line passing through the point M(-1,-3) is

y-y1 = m (x-x1)

or, y-(-3) = -2 (x-(-1))

or, y+3 = -2 (x+1)

or, y+3 = -2x-2

or, 2x+y = -2-3

Hence, 2x+y =-5 is the required equation.

(a) is the correct answer .

cylindrical-shaped aquarium is to be filled with water for the newly bought salt water fishes. How much salt water is needed if the aquarium has a 2 ft radius of its base and a height of 3 ft?

Volume = πr²h

V = (3.14) (2)² (3)

V = (3.14) (4) (3)

V = 37.68 ft³

37.68 ft³ of salt water is needed to fill the cylindrical aquarium.

Mr. Lee is buying a spherical water tank for his tomato plantation. How much water could be stored if the water tank has a radius of 2 meters?

Volume = (4/3) πr³

V = (4/3) (3.14) (2)³

V = (4/3) (3.14) (8)

V = (4/3) (25.12)

V = 33.493 m³

Mr. Lee can store 33.493 m³ of water in the spherical tank.

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In the ΔIJH, the value of the cosec (I) is [tex]1\frac{9}{56}[/tex].

Given ΔIJH the length of the hypotenuse is 65,  the length of the base is 33, and the length of the opposite side is 56.

We have to find the value of the cosec (I).

A function of an arc or angle that is most easily represented in terms of the ratios of pairs of sides of a right-angled triangle, such as the sine, cosine, tangent, cotangent, secant, or cosecant.

We know cosec (I) = hypotenuse / opposite side

Substitute the values

cosec (I) = 65/56

              = [tex]1\frac{9}{56}[/tex]

Hence the value of cosec (I) is [tex]1\frac{9}{56}[/tex].

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Two angles whose sum is 180° are called supplementary angles. The correct option is C.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

In the given Image, ∠a and ∠b are supplementary angles to each other. Therefore, the correct option is C.

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Answer:

It will take 55.08 seconds.

Step-by-step explanation:

6 seconds = 210m

1 second = (210÷6)

= 35m

1928m ÷ 35m

=55.08 seconds

Answer = it will take 55.08 seconds to travel 1928m

Answer:

y = 0.10 x + 130. y = 0.15 x + 108

Step-by-step explanation:

0.10 and 0.15 are the slope in the equation y = mx + b since it requires an input (number of miles) to spit out an output (number of miles*0.10 = price) and the x intercept is 130 and 108 creating the equation  y = 0.10 x + 130. y = 0.15 x + 108.

Answer: 484/5

Step-by-step explanation:

For this word problem, it seems confusing with the wording but the equation would just be:

968÷10=x

solving for x, we get 484/5.

Answer:

Where is the formula

Step-by-step explanation:

Answer:

The answer will be equation

33333333333333333333333333333333333

In order to proof that ∠ ABC + m ∠DBE = 180° the correct proof is given as follows:

Supplementary angles comprise of angles that are on a straight line and which must add up to 180°

It is right to state therefore, that  ∠ABC, ∠CBD are supplementary angels.

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Answer:

21/4

Step-by-step explanation:

Answer:

[tex]\frac{42}{8}[/tex]

Step-by-step explanation:

• First multiply the numerators:

6 x 7 = 42

• Then multiply the denominators:

(6 doesn't have a denominator, which is the same as having a denominator of 1)

1 x 8 = 8

∴ The answer is [tex]\frac{42}{8}[/tex] .

Answer:

[tex]\frac{3x^{4} }{2y^{4} }[/tex]

Step-by-step explanation:

Factor out 7 from top and bottom :

[tex]\frac{7(3x^6y^5)}{7(2x^2y^9)}[/tex]

Divide top and bottom by 7 :

[tex]\frac{3x^6y^5}{2x^2y^9}[/tex]

Simplify :  

[tex]\frac{x^6}{x^4}=x^{2}[/tex]

Simplify :

[tex]\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }[/tex]

Collect everything together :

[tex]\frac{3x^{4} }{2y^{4} }[/tex]

Hope this helped and have a good day

1) line segment MJ≅ Line segment MP

2) ∡OJP≅∡OML

3) line segment OM≅line segment MP

The below mentioned statements are true according to the figure , Option A, B and D is the correct answer.

A line that intersects the curve at a single point at 90 degree is called a tangent.

In the given figure it can be seen that the

Therefore , Option A , B and D is the correct answer

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The simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a mathematical expression:

= 6543549² × 4³ ÷ 8

Using BODMAS

= 6543549² × 8

= 3.4254×10¹⁴

Thus, the simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴

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Answer: Choice B

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

===================================================

Further Explanation:

Shayla stating that the y axis being used to conduct a vertical line test is part of the process. But she needs to move the vertical line around and not have it fixed in place.

If it is possible to have a vertical line (on the y axis or not) pass through more than one point on the curve, then we don't have a function. It is said the curve fails the vertical line test.

Otherwise, the graph passes the vertical line test and we have a function.

Answer:

[tex]8^{\frac{x}{3} }[/tex]

Step-by-step explanation:

Answer:

(16, 0) should be right.

Step-by-step explanation:

Well, I used to do the math, but after using Acellus a while, I found Symbolab.

It's suuuper handy with Algebra. I highly recommend.

How I found this intercept was enter:

intercept -2x+8y=-32

and bam it lists you all intercepts!

See the graph in the image.

Answer:

a)(0,k)

b)(0,-k)

Step-by-step explanation:

Given:

[tex] \begin{cases} y = a {x}^{2} + k \\ y = a {x}^{2} - k \end{cases}[/tex]

Taking the derivative of y's yields

[tex] \begin{cases} y '= \dfrac{d}{dx} a {x}^{2} + k \\ \\ y '= \dfrac{d}{dx} a {x}^{2} - k \end{cases} \\ \implies\begin{cases} y '= 2a x\\ \\ y '=2ax\end{cases} [/tex]

Now set y' to 0 and solve for x:

[tex] \implies\begin{cases} 2a x = 0\\ \\ 2ax = 0\end{cases} \\ \implies\begin{cases} x= 0\\ \\ x= 0\end{cases} [/tex]

plug in the value of x into the original equation thus

[tex] \begin{cases} y = a ({0}^{2}) + k \\ y = a ({0}^{2} )- k \end{cases}\\ \implies \begin{cases} y = k \\ y= - k \end{cases} [/tex]

Hence,

Solution 1 :-

>> -3 (3 - x) = 2x + 5

>> -3 × (3 - x) = 2x + 5

>> -9 + 3x = 2x + 5

>> 3x - 2x = 9 + 5

>> x = 14

Solution 2 :-

>> -6 - 9p = 3p

>> -9p - 3p = 6

>> -12p = 6

>> p = -1/2

Solution 3 :-

>> -5 (-4 - a) = 3a + 8

>> -5 × (-4 - a) = 3a + 8

>> 20 + 5a = 3a + 8

>> 5a - 3a = 8 - 20

>> 2a = -12

>> a = -12 / 2

>> a = -6

Solution 4 :-

>> s - 6 = -5s

>> s + 5s = 6

>> 6s = 6

>> s = 6 / 6

>> s = 1

Answer:

1) x = 14

2) p = - [tex]\frac{1}{2}[/tex]  (- 1/2)

3) a = -6

4) s = 1

work shown in image :)

hope this helps!!

Answer:

About 3.5

Step-by-step explanation:

To get slope, you essentially need to find the rise (the y values) over run (the x values). You'll most likely see the formula for slope written like this:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Thankfully, you have the values you need to solve the problem!

x1 = 2

x2 = 6

y1 = 7

y2 = 21

So plugging these numbers in, we get:

[tex] \frac{(21) - (7)}{(6) - (2)} \\ \\ \frac{14}{4} \\ \\ 3.5 [/tex]

[EDIT: I misread 6 as 5. Answer has been updated!]

The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.

A function is a mathematical statement that defines relation between two variables.

The f(x) = (x+7)²

The equation for g(x) is ?

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-7,2).

g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)

Therefore the equation of the function is

g(x)=(x+7)² -2

Therefore , the translation is a shift of the function f(x) 2 units down

Option  D is the correct answer.

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