Write the equation of a line that is parallel to x=-5 and passes through the point (1,4)

Answer:

x = 8 or x = -4, i.e., the last number line

Step-by-step explanation:

|x – 2| = 6 translates to

x-2 = 6 or x-2 = -6 if you eliminate the absolute operation. So there are two solutions that you can solve independently:

x-2 = 6 => x = 8

x-2 = -6 => x = -4

Answer:

d

Step-by-step explanation:

just got it right :)

1/3

Step-by-step explanation:

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Answer:

Step-by-step explanation:

1/3

Answer:

   16

 ____________

6| 96

  -6 |

       V

    36

  - 36

     0

6 goes into 9 one time because 9-6=3 so there is 1 six in 9. Write 1 at the top because you have 1 6.

Subtract the 6 and you get 3

Bring the 6 from 96 down

you get 36

6 goes into 36 6 times because 36-6-6-6-6-6-6=0 so write a 6 at the top and you get 16 because of the previous 1.

Subtract 36 by 36 to get 0

Hope this helps

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

You have to take each number in the dividend (number being divided) and divide it by the number in the divisor (number that is dividing). Here you would take 9, the first number in the dividend and divide it by 6, and you would put that in the first space of the quotient (answer). You would then take that number and multiply it by 6 and place it in the space below. Subtract 6 from 9 and get 3. Drop down the 6 to get 36. Take 36 and divide that by the divisor 6 and get 6 next to the number 1 you calculated earlier to get your answer 16. Take 6 and multiply it back to get 36 and subtract it from 36 to get a remainder of 0.

I showed how to do it visually in the attachment just in case this explanation didn't make any sense

Answer:

A. [tex] {-\frac{5+5\sqrt 3 }{2}}[/tex]

Step-by-step explanation:

Please wait for more explanation:

[tex] \frac{5}{1-\sqrt 3}= \frac{5}{1-\sqrt 3}\times \frac{1+\sqrt 3}{1+\sqrt 3}\\\\

= \frac{5(1+\sqrt 3) }{1^2 -(\sqrt 3) ^2}\\\\

= \frac{5+5\sqrt 3 }{1 -3}\\\\

= \frac{5+5\sqrt 3 }{-2}\\\\

=\huge\purple {\boxed {-\frac{5+5\sqrt 3 }{2}}} \\[/tex]

The fraction 5/1-√3 can be rewritten if its denominator is rationalized using difference of squares as -5(1 + √3)/2.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

To rationalize 5÷1-√3,  by the conjugate of 1 - √3 = 1 + √3.

So 5 ÷ (1 - √3) = 5/(1 - √3),

we multiply the expression by the conjugate of the denominator, we have,

5/(1 - √3) × (1 + √3)/(1 + √3)

= 5(1 + √3)/[(1 - √3) × (1 + √3)]

=  5(1 + √3)/(1² - (√3)²)

=  5(1 + √3)/(1 - 3)

= 5(1 + √3)/-2

= -5(1 + √3)/2

Learn more about factored form of an expression here:

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Answer:

-7x + 2y - 2z.

Step-by-step explanation:

Using the distributive property, you basically have...

-1 * 7x + -1 * -2y + -1 * 2z = -7x + 2y - 2z.

Hope this helps!

Answer:

If we have a x% sugar syrup, this means that the ratio between the amount of sugar and the total amount of syrup (water + sugar), times 100%, is equal to x%

So we if we have 100gr of sugar and m grams of water mixed, we have:

100gr + m = M =  grams of syrup, then we have:

then we have:

(100gr/M)*100% = x%

then

100gr*(100/x) = M

where M is the total amount of syrup that you can make.

Answer:

10000/x

Step-by-step explanation:

So, we can try to put this into an algebraic expression doing this!

We know that % means, *out of 100*, therefore

x=100

100=1        Which means, 100 over one equals to x over 100!

Cross multiply.

100*100 is 10,000

x*1 is x

you cannot simplify it further so we just leave it as, 10,000 divided by x, because x=10,000, would be 10,000 divided by x!

Cheers! I hope you can understand this now.

Answer:

Maximum number of students=41

Step-by-step explanation:

Total allotted=£2500

Regular theatre Tickets=£45

1/5 off= 4/5*45

=£36

Train tickets=£20 each

Total cost per person=£36+£20

=£56

If 3 teachers and maximum number of students attend

Let x=maximum number of students

Therefore

£56(x+3) <or= £2500

56x+168 <or= 2500

56x <or= 2500-168

56x <or= 2332

x <or= 2332/56

x<or=41.643

Maximum number of students that will go on the trip=41 students

Total money left over for the school=

Total allotted - cost per person multiplied by number of teacher+students

=2500 - 56(3+41)

=2500-56(44)

=2500-2,464

=£36

Answer:

10 units

Step-by-step explanation:

By the property of Intersecting chords inside a circle, we have

RH*HT = GH*HJ

6*5 = 3*HJ

30 = 3HJ

HJ = 30/3

HJ = 10 units

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

The given equation is:

[tex]y_{k + 2} + 8y_{k +1} - 9y_{k} = 20k + 12..(1)[/tex]

put,

[tex]y_k = k^2\\\\y_{k+2}=(k+2)^2\\\\y_{k+1}=(k+1)^2\\\\[/tex]

[tex](k+2)^2+8(K+1)^2-9k^2 = 20k+12\\\\=20k+12= 20K+12\\\\[/tex]

hence y_k=k^2 is its solution.

Now,

[tex]\to y_{k+2}+ 8y_k + 1 - 9y_k = 20k + 12[/tex]

the symbol form is:

[tex](E^2+8E-9)_{yk}=20k+12[/tex]

[tex]\to m^2+8m-9=0\\\\\to m^2+(9-1)m-9=0\\\\\to m^2+9m-m-9=0\\\\\to m(m+9)-(m+9)=0\\\\\to (m+9)(m-1)=0\\\\\to m=-9 \ \ \ \ \ \ \ m=1\\[/tex]

The general solution is:

[tex]y_k = c_1(-9)^k + c_2(`1)^k\\\\y_k =c_1(-9)^k+c_2[/tex]

The complete solution is:

[tex]y_k=(y_k)_c+(y_k)_y\\\\y_k= c_1(-9)^k+c_2+k^2[/tex]

The answer is option b: [tex]y_k = k^2 + c_1(-9)^k + c_2[/tex]

After solve the complete solution is:

[tex]\bold{y_1=c_1(-9)^k+c_2+k^2.....}[/tex]

Answer:

15/64

Step-by-step explanation:

3 blue

5 red marbles.

since the marble is put back in, the denominator will not change,

so to draw ONE marble, the chances would be

chances of picking a blue marble 3/8

chances of picking a red marble 5/8

3/8 * 5/8 - 15/64

please mark me brainly.

Answer:

The probability of drawing one blue marble is 3/8 because you have three blue marbles out of a total of eight marbles. The probability of drawing a second blue marble is also 3/8 but since you have to draw both marbles consecutively you have to multiply the probabilities of drawing each marble. So,

3/8•3/8 = 9/64.

Now you need to change it to a percent.

We do this by

9/64 x 100 = 14% approx

Answer:

Step-by-step explanation:

The side of the square = 3^2/7

Use the law of exponents . If the power is a fraction, that means it is

3^2/7 = 3^2 x 1/7 = 7√9

To find the area you multiply this by itself.

This gives you 1.87...

Hope this helps

Answer: Hold on

Step-by-step explanation: LEt me see this is tricky

Answer: P= 2,800, r= 0.035, n= 12, t= 0.75

Step-by-step explanation:

I guessed and got it right!

Answer:

12

Step-by-step explanation:

When we find the age of Suzie, her age is 12 currently.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

x + 5y - 10 = 0  there you have it

Answer:

n/16

Step-by-step explanation:

I am pretty sure.

please mark me brainliest!

The  4th runner completed n/16 lap.

We have given  that,

A relay with n laps was run by 4 people. The 1st runner ran half the laps. The 2nd runner ran half the number of laps the 1st runner ran. The 3rd runner ran half the number of laps the 2nd runner ran. The remaining laps were completed by the 4th runner.

We have to determine How many laps the 4th runner completed.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Therefore we have given total relay in n laps

There are 4 people and 4th lap was completed by the 4th runner.

Therefore the  4th runner completed the n/16 lap.

To learn more about the probability visit:

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Answer:

20

Step-by-step explanation:

This triangle can be solved using the Pythagorean theorem. 16^2+12^2=x^2. 16^2+12^2=400. If we set 400 equal to x^2, x=20.

Answer:

  23.9% decrease

Step-by-step explanation:

The percentage change is calculated from ...

  pct change = ((new value)/(old value) -1) × 100%

  = (2653/3487 -1) × 100% = -0.2392 × 100%

  pct change = -23.9% . . . . rounded to tenths

The population decreased by 23.9% in the given time period.

Answer:

[tex] \sqrt{u \div 12k \\ } [/tex]

Step-by-step explanation:

u=12kx^2

x^2=u/12k

...x=

[tex] \sqrt{u \div 12k} [/tex]

Answer:

3x + 7

Step-by-step explanation:

1. Distribute the negative into the parentheses.

6x - (3x - 7)

6x - 3x + 7

2. Simplify.

6x - 3x + 7

= 3x + 7

THe closest answer i got was 18122

Answer:

a). [tex]V=\frac{U.F}{U-F}[/tex]

b). V = 15 units

Step-by-step explanation:

Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,

[tex]\frac{1}{F}=\frac{1}{U}+\frac{1}{V}[/tex]

A). By solving the given formula,

    [tex]\frac{1}{V}=\frac{1}{F}-\frac{1}{U}[/tex]

    [tex]\frac{1}{V}=\frac{U-F}{U.F}[/tex]

    [tex]V=\frac{U.F}{U-F}[/tex]

B). If F = 6 and U = 10 then we have to find the value of V.

    By substituting the given values in the formula,

    [tex]V=\frac{6\times 10}{10-6}[/tex]

    [tex]V=\frac{60}{4}[/tex]

    V = 15 units

    Therefore, focal length (V) of the lens = 15 units

Answer:

x = 6

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, thus

6x - 15 = x + 15 ( subtract x from both sides )

5x - 15 = 15 ( add 15 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Answer:

X=6 Read explination

Step-by-step explanation:

A parallelogram has the perrimeter of both opposite sides equal

So we know that

6x-15=x+15

This is because in a parrellelogram the opposite sides are equal  

so breaking it down

6x-15=x+15

(add 15 to both sides)

6x=x+30

(subtract x from both sides)

5x=30

(divide both sides by 5)

x=6

Answer:

P = 0.00072

Step-by-step explanation:

If the number of traffic accidents that occurs follows a Poisson distribution, the probability that x traffic accidents occurs is:

[tex]P(x)=\frac{e^{-m}(m^x)}{x!}[/tex]

Where m is the mean. So replacing m by 8.1 accidents/monts, we get:

[tex]P(x)=\frac{e^{-8.1}(8.1^x)}{x!}[/tex]

So, the probability that the next two months will both result in three accidents each occurring in this stretch of road is calculated as:

[tex]P(3)*P(3)=\frac{e^{-8.1}(8.1^3)}{3!}*\frac{e^{-8.1}(8.1^3)}{3!}\\P(3)*P(3)=0.00072[/tex]

Answer:

1.) 8a⁴b³ + 6a²b³ab² - 2a²b³ab

2.) A. 44

3.) B. +83 degrees

4.) D. $0.15

5.) x⁴ - 256

6.) D. -122

7.) -6r²s⁴t³

Step-by-step explanation:

1.) To simplify, we simply multiply/distribute and then combine like terms.

2.) To simplify, we use Order of Operations BPEMDAS to solve.

3.) To find, we simply subtract 68 and -15 to get +83 as our answer.

4.) To find, we simply multiply 3 by 24 to get 72, then divide by $410.80 to get $0.15 as our answer.

5.) To expand/simplify, simply use Difference of Squares to get C. as our answer.

6.) To find the value, simply plug in 7 for b to get -122 as our answer.

7.) To find the result, remember that when you divide exponents, you subtract the powers.

Answer:

See below.

Step-by-step explanation:

[tex]\frac{6z^2-12z}{4z^2-16z+16} +\frac{3z}{z^2-z-2} \\\\[/tex]

First, factor the numerators and the denominators:

[tex]=\frac{6z(z-2)}{4(z^2-4x+4)}+\frac{3z}{z^2-z-2}\\=\frac{6z(z-2)}{4(z-2)^2}+\frac{3z}{(z-2)(z+1)}\\=\frac{3z}{2(z-2)}+\frac{3z}{(z-2)(z+1)}[/tex]

Now, make the two denominators equivalent. To do this, we can multiply the first term by (z+1) and multiply the second term by 2. This will give us:

[tex](\frac{z+1}{z+1} )(\frac{3z}{2(z-2)})+(\frac{2}{2})(\frac{3z}{(z-2)(z+1)})\\=\frac{3z(z+1)}{2(z-2)(z+1)}+\frac{6z}{2(z-2)(z+1)} \\[/tex]

Now, combine them since they have a common denominator:

[tex]=\frac{3z^2+3z+6z}{2(z-2)(z+1)}\\ =\frac{3z^2+9z}{2(z-2)(z+1)} \\=\frac{3z(z+3)}{2(z-2)(z+1)}[/tex]

This cannot be simplified further.

Answer:

t = D/r

Step-by-step explanation:

D = rt

Divide each side by r to isolate t

D/ r = rt/r

D /r = t

The time required is D/r

Answer:

[tex]\boxed{Probability = 48}[/tex]

Step-by-step explanation:

Probability of getting a tails = 0.3

If it is flipped 160 times, the probability of getting a tails will be

=> 0.3*160

=> 48