which of the following is an extraneous solution of square root 4x+41=x+5

Answer:

4/5

Step-by-step explanation:

There are four quadrants in a coordinate geometry.

The value of cos(A - B) is 84/85

The given parameters are:

[tex]\mathbf{cos(A) = \frac{15}{17}}[/tex]

[tex]\mathbf{cos(B) = \frac{4}{5}}[/tex]

Using trigonometry ratio, we have:

[tex]\mathbf{sin^2(A) + cos^2(A)= 1}[/tex]

Substitute [tex]\mathbf{cos(A) = \frac{15}{17}}[/tex]

[tex]\mathbf{sin^2(A) + (\frac {15}{17})^2 =1}[/tex]

Expand

[tex]\mathbf{sin^2(A) + \frac{225}{289} =1}[/tex]

Collect like terms

[tex]\mathbf{sin^2(A) =1 - \frac{225}{289}}[/tex]

Evaluate fraction

[tex]\mathbf{sin^2(A) =\frac{64}{289}}[/tex]

Take square roots of both sides

[tex]\mathbf{sin(A) =\pm\frac{8}{17}}[/tex]

The angle is in the fourth quadrant.

So, we have:

[tex]\mathbf{sin(A) =-\frac{8}{17}}[/tex]

Also,

Substitute [tex]\mathbf{cos(B) = \frac{4}{5}}[/tex] in [tex]\mathbf{sin^2(B) + cos^2(B)= 1}[/tex]

[tex]\mathbf{sin^2(B) + (\frac 45)^2= 1}[/tex]

[tex]\mathbf{sin^2(B) + \frac{16}{25}= 1}[/tex]

Collect like terms

[tex]\mathbf{sin^2(B) = 1 - \frac{16}{25}}[/tex]

Simplify fraction

[tex]\mathbf{sin^2(B) = \frac{9}{25}}[/tex]

Take square roots

[tex]\mathbf{sin(B) = \pm \frac{3}{5}}[/tex]

The angle is also in fourth quadrant

So, we have:

[tex]\mathbf{sin(B) = - \frac{3}{5}}[/tex]

To calculate cos(A - B), we make use of:

[tex]\mathbf{cos(A - B) = cos(A)cos(B) + sin(A)sin(B)}[/tex]

So, we have:

[tex]\mathbf{cos(A - B) = \frac{15}{17} \times \frac{4}{5} + \frac{-8}{17} \times \frac{-3}{5}}[/tex]

Evaluate

[tex]\mathbf{cos(A - B) = \frac{60}{85} + \frac{24}{85}}[/tex]

Take LCM

[tex]\mathbf{cos(A - B) = \frac{60+24}{85}}[/tex]

[tex]\mathbf{cos(A - B) = \frac{84}{85}}[/tex]

Hence, the value of cos(A - B) is 84/85

Read more about quadrants at:

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Answer:

1/6x or just 1/6

Step-by-step explanation:

the equation is y = mx + b and 1/6x is in place m which is the slope

stream blueberry eyes by MAX AND SUGA periodTt

The slope is also known as the gradient and the rate of change of the line. The slope of the line for the equation y= 1/6x + 1/4 is 1/6

The slope is also known as the gradient and the rate of change of the line, The equation of aline in slope intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation y = 1/6x + 1/4

Compare

mx = 1/6x

m = 1/6

Hence the slope of the line for the equation y= 1/6x + 1/4 is 1/6

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Answer:

x = -4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

x + 13 = 9

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 9 does indeed equal 9.

∴ x = -4 is a solution of the equation.

Answer:

x=-4

Step-by-step explanation:

So when solving a one-step algebraic equation you need to remember what you do to one side you have to do to the other side. In the problem x + 13 = 9 you need to subtract 13 from both sides to isolate x. So your problem should look like x = 9 - 13. Now all you have to do is solve 9 - 13 which is -4. So x = -4.

I hope this helped.

Answer:

-6,-4

Step-by-step explanation:

The coordinates of the point is -2,2 so you subtract 4 and 6. That is -6.-4

Hope this helps plz mark brainliest :D

Answer:

x=(10+m)/3

Step-by-step explanation:

3x-m=10

3x=10+m

x=(10+m)/3

Answer:

You can't solve for this since there are two variables. We can only solve this when we either know the value of one variable or we have another equation with these two variables.

Answer:

Each ounce contains 20 calories.

Step-by-step explanation:

200/10 = 20/1

20/1 simplified is 20.

Answer:

20 calories per ounce

Step-by-step explanation:

if 200 calories is in 10 ounces of milk, then you can divide 200 by 10; 200 ÷10=20 calories per ounce

Answer:

x = 10

Step-by-step explanation:

Assuming the 2 figures are similar, then the ratios of corresponding sides are equal, that is

[tex]\frac{5}{x}[/tex] = [tex]\frac{4}{8}[/tex] ( cross- multiply )

4x = 40 ( divide both sides by 4 )

x = 10

Answer:

50

Step-by-step explanation:

Mark as brainliest

If x and y are both integers, then the expression equivalent to ll x - y ll is,

ll y -x ll.

Here,

Given expression is,  ll x - y ll

What is modulus function?

The modulus function gives the magnitude or absolute value of a number irrespective of the number being positive or negative.

Now,

Let x = 2 and y = 1

Hence, ll x - y ll = ll 2 - 1 ll = 1

And, ll y - x ll = ll 1 - 2 ll = 1

So, Option A is true.

Hence, If x and y are both integers, then the expression equivalent to llx - y ll is, ll y -x ll.

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Answer:

I am nepali but i donot play freefire

Answer:

Yeah it's 10

Step-by-step explanation:

100/10=10

Answer:

Tell them you don't take cash

Answer:

6 hours

Step-by-step explanation:

6 * 1 5/8

6* 13/8=9.75

Answer:

6 hours

Step-by-step explanation:

Answer:

-4/9 is a rational number

Step-by-step explanation:

Rational numbers are the numbers you can make by dividing one integer by another, so in other words a fraction.

Answer

4/9 belongs to rational numbers (D).

Explanation

(Lol moderator deleted everyone's answers so I'm gonna answer).

First I'll give you a definition of each choice.

Integers: Integers don't include decimals or fractions. Integers are positive and negative numbers. So basically it's this; (..., -3, -2, -1, 0, 1, 2, 3, ...). The '...' means numbers from infinity to the next number. I hope this makes sense Imao.

Whole numbers: whole numbers are integers, except they don't include negative numbers. Whole numbers include 0 (zero)... (0, 1, 2, 3, ...)

Natural numbers: natural numbers are whole numbers but they don't include 0 (zero)... (1, 2, 3, ...)

Rational numbers: rational numbers are numbers that can be expressed as a fraction. This includes repeating decimals such as 0.333 repeating. Rational numbers also include integers, because if you put the number over one, that is a fraction. Rational numbers are basically every number except for the radicals of some numbers (such as the square root of 3) and pi.

So now let's just see which one 4/9 is.

Well, 4/9 is not an integer, whole number, or natural number because it is a fraction.

But 4/9 can be expressed as a fraction (well, it already is one) meaning it is a rational number.

Answer:

by 25%

Step-by-step explanation:

We can assume that the company originally had 100 stores and it plans to keep only 60 open after two years. If it was able to close 20 stores during the first year, the total number of stores remaining open was 100 - 20 = 80. Since it needs to decrease the number of stores to 60, it must reduce the number of stores by 20/80 = 0.25 or 25%.

Answer:

Total tickets = 70

Total cost = $550

Adult's ticket = $9

Child's ticket = $5

Difference = 9 - 5 = $4

Assume all 70 are child's tickets

5 x 70 = 350

But the total cost was 550

550 - 350 = $200

The $200 must have come from Adult's tickets, which has a difference of $4.

200 ÷ 4 = 50

So there are 50 adult's tickets.

70 - 50 = 20

And there are 20 child's tickets.

Answer:  The radius will still be 4 units.

Step-by-step explanation:

Since it is a rigid transformation, nothing of the shape will change excepts it location meaning that the radius of the shape will still stay the same.

The radius is 4 and after a reflection , the radius will still be 4.

Answer:

950 km

Step-by-step explanation:

1 cm = 250 km

3.8 * 250  = 950

Answer:

950 km

Step-by-step explanation:

[tex]\frac{1}{250} = \frac{3.8}{x}[/tex]

(cross multiply)

250(3.8)= 950

(divide both sides by 1)

950/1=950

Answer:

=-616

Step-by-step explanation:

8(4-9x9)

bidmas

8(4-81)

8(-77)

Answer:

-616 is the answer for the question

Answer:

idkkk im trying to figure it out as quick as i cannn

Step-by-step explanation:

Answer:

THe awnswer is B

Step-by-step explanation:

Answer: D. $14

Step-by-step explanation: I got this right on Edmentum

Hope this helps you!

Solve the Inequality for x

4x − 5 ≥ 7  

Move all terms not containing x to the right side of the inequality.

4x ≥ 12

Divide each term by 4 and simplify.

x ≥ 3

The result can be shown in multiple forms.

Inequality Form:

x ≥ 3

Interval Notation:

[3,∞)

Lots of love for you darling!~ <3

You graph it here

Answer:

Step-by-step explanation:

Alright, so this is basically just another equation, but then you see the greater than or equal to sign. How do I solve this? You may be asking. Well, treat it like an equation and worry about the sign later.

4x - 5 [tex]\geq[/tex] 7

Solve for x.

Add 5 to each side, then divide by 4 to each side.

4x [tex]\geq[/tex] 12

x [tex]\geq[/tex] 3  <----This is the answer.

Now for the graph. Look at the picture below:

That's what the graph should look like. Since it has a greater than or equal to sign, the line will be solid.

The graph is basically saying that anything that is greater than 3 (including 3) is counted, which is why that entire right side of 3 is shaded in.

Also, the way you should technically graph it is on a number line. So make a number line.

     -2   -1     0     1     2    3     4     5    6    7     8    9    10

<-----|-----|-----|-----|-----|-----€-----|-----|-----|-----|-----|-----|-----|----->

(Pretend € is the filled in dot).

So, the above number line is what it should look like when graphed. The € circle is filled in because we are including the 3.

#teamtrees #WAP (Water And Plant)

Answer: it’s 12

Step-by-step explanation:

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Analyzing the statement one after the other:

Half a number x: [tex]\frac{1}{2}x[/tex]

Equals to: [tex]=[/tex]

9 less than twice that same number: [tex]2x - 9[/tex]

Bring them together, we have:

[tex]\frac{1}{2}x = 2x-9[/tex]

Collect Like Terms

[tex]\frac{1}{2}x - 2x= -9[/tex]

[tex]\frac{x}{2} - 2x= -9[/tex]

[tex]\frac{x - 4x}{2} = -9[/tex]

[tex]\frac{ - 3x}{2} = -9[/tex]

Multiply through by 2

[tex]2 * \frac{ - 3x}{2} = -9 * 2[/tex]

[tex]- 3x = -18[/tex]

Divide through by -3

[tex]x = 6[/tex]

9514 1404 393

Answer:

  d.  The data is continuous because it is connected, without gaps.

Step-by-step explanation:

If you can draw the graph without lifting your pencil, then the data is continuous. That is the case here. The best description is the last one:

  The data is continuous because it is connected, without gaps.

Answer:

2x(x-4)

Step-by-step explanation:

2[tex]x^{2}[/tex]-8x= 2([tex]x^{2}[/tex]-4x)= 2x(x-4)

Answer:

[tex]\mathrm{Factor}\:2x^2-8x:\:2x\left(x-4\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]2x^2-8x[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]

[tex]x^2=xx[/tex]

so the expression becomes

[tex]2x^2-8x=2xx-8x[/tex]

               [tex]=2xx-2\cdot \:4x[/tex]

               [tex]=2x\left(x-4\right)[/tex]              ∵  [tex]\mathrm{Factor\:out\:common\:term\:}2x[/tex]

Therefore,

[tex]\mathrm{Factor}\:2x^2-8x:\:2x\left(x-4\right)[/tex]