Write the equation of a line that goes through (1.-7) and has a slope of -5.

Answer:

209.70

Step-by-step explanation:

209.70 to 2decimal places

Step-by-step explanation:

[tex]\large \rm \red{\widetilde{Taking\ RHS:-}}[/tex]

[tex]\rm :\longmapsto \dfrac{1}{3 + \sqrt{7}} \ + \ \dfrac{1}{\sqrt{7} + \sqrt{5}} \ + \ \dfrac{1}{\sqrt{5} + \sqrt{3}} \ + \ \dfrac{1}{\sqrt{3} + 1}[/tex]

Rationalizing, we get

[tex]\rm :\longmapsto \dfrac{1}{3+\sqrt7} \times \dfrac{3-\sqrt7}{3-\sqrt7} + \dfrac{1}{\sqrt7 + \sqrt5} \times \dfrac{\sqrt7 - \sqrt5}{\sqrt7 - \sqrt5}[/tex]

[tex]\rm + \dfrac{1}{\sqrt5 + \sqrt3} \times \dfrac{\sqrt5 - \sqrt3}{\sqrt5-\sqrt3} + \dfrac{1}{\sqrt3 + 1} \times \dfrac{\sqrt3 - 1}{\sqrt3 -1}[/tex]

[tex]\rm :\longmapsto \dfrac{3 - \sqrt7}{(3)^2 - (\sqrt7)^2}[/tex]

[tex] + \dfrac{\sqrt7 - \sqrt5}{(\sqrt7)^2 - (\sqrt5)^2} [/tex]

[tex]+\dfrac{\sqrt5 - \sqrt3}{(\sqrt5)^2 - (\sqrt3)^2} +[/tex]

[tex]\dfrac{\sqrt3-1}{(\sqrt3)^2 - 1^2}[/tex]

Given info:- Rationalisie the denominator of the following 1/(3+√7) + 1/(√7+√5) + 1/(√5+√3) + 1/(√3+1) = 1, also show that Left hand side is equal to Right hand side that means LHS = RHS.

Explanation:-

On rationalising the denominator, we get

First term: 1/(3+√7)

⇛{1/(3+√7)}×{(3-√7)/(3-√7)}

⇛{1(3-√7)}/{(3+√7)(3-√7)}

⇛(3-√7)/{(3)²-(√7)²}

⇛(3-√7)/{(3*3)-(√7*7)}

⇛(3-√7)/(9 - 7)

⇛(3-√7)/2

Second term: 1/(√7+√5)

⇛{1/√7+√5)}×{(√7-√5)/(√7-√5)}

⇛{1(√7-√5)}/{(√7+√5)(√7-√5)}

⇛(√7-√5)/{(√7)²-(√5)²}

⇛(√7-√5)/{(√7*7)-(√5*5)}

⇛(√7-√5)/(7-5)

⇛(√7-√5)/2

Third term: 1/(√5+√3)

⇛{1/(√5+√3)}×{(√5-√3)/(√5-√3)}

⇛{1(√5-√3)}/{(√5+√3)(√5-√3)}

⇛(√5-√3}/{(5)²-(√3)²}

⇛(√5-√3)/{(√5*5)-(√3*3)}

⇛(√5-√3)/(5-3)

⇛(√5-√3)/2

Fourth term: 1/(√3+1)

⇛{1/(√3+1)}×{(√3-1)/(√3-1)}

⇛{1(√3-1)}/{(√3+1)(√3-1)}

⇛(√3-1)/{(√3)²-(1)²}

⇛(√3-1)/{(√3*3)-(1*1)}

⇛(√3-1)/3-1

⇛(√3-1)/2

Hence, LHS = 1/(3+√7) + 1/(√7+√5) + 1/(√5+√3) + 1/(√3+1)

Now, Substitute their rationalised value in expression, we get

= (3-√7)/2 + (√7-√5)/2 + (√5-√3)/2 + (√3-1)/2

Take the LCM of all the denominator 2,2,2 and 2 is "2".

= (3-√7+√7-√5+√5-√3+√3-1)/2

= (3-1)/2

= 2/2

= 1

= RHS proved.

Hope this may help you.

If you have any doubt, then you can ask me in the comments.

Answer:

1 1/4 cup

Step-by-step explanation:

Make the mixed fractions regular fractions by multiplying the outside number by the denominator and then adding it to the numerator. For example

2 3/4

2 * 4 = 8 + 3 = 11

2 3/4 = 11/4

You should get 3/2 for how much she drank.

Now make sure your denominators are the same. Multiply both the numerator and denominator of the amount she drank by two to get 6/4

Then subtract the fractions.

11/4 - 6/4 = 5/4

Now make that into a mixed fraction.

She has 1 1/4 cup left

Answer:

Those three pieces should be 15 inches, 20 inches and 24 inches long.  

Step-by-step explanation:

Step-by-step explanation:

f(x) = 5x - 8

g(x) = 9 - 6x²

= (fog)(-3)

= f( g(3) )

= 5x - 8

= 5(9 - 6x²) - 8

= 5(9 - 6(-3)² ) - 8

= 5(9 - 54) - 8

= 5(-45) - 8

= -225 - 8

= -233

(fog)(-3) = -233

Answer:

the answer is D according to my scorrs

Answer:

y-8=5/2(x+4)

Step-by-step explanation:

If you are trying to find the point slope formula, this would be the answer. The point slope formula is [tex]y-y_{1}=m(x-x_{1} )[/tex], where m is the slope. You can plug things in and get y-8=5/2(x+4)

Answer:

9

Step-by-step explanation:

Answer:23

Step-by-step explanation:0.29 times 79 since 0.29 equals 22.91 we can estimate that renee will be on time to class about 23 times out of 79

Answer:

2/3

Step-by-step explanation:

Because Im always right duhhh

1 1/3 * 3 3/4

4/3*3*3/4

3

hope this helps!

Answer:

Root 2 = 2 - root 3

Step-by-step explanation:

According to question

root 1 = 2 + root 3

and as we know

that  two root of an equation are   b + root 4ac / 2a and b - root 4ac

Thus

Another root

I hope this was helpful!

God Bless!

Answer:

v = 260

Step-by-step explanation:

You have to multiply all the values given together (13 x 3 x 20) and then divide that by 3.

Answer:

24 MINUTES!

Step-by-step explanation:

(1, 10) (5,18)

x=people y=minutes

y=2(8)+8

y=2x+8=

24 minutes

ENJOY :D

(think its possible to get brainlist? :)    )

Answer:

the answer is 24 minutes.

Step-by-step explanation:

y= 2(8)+8

y=2x+8=24 minutes

The Number of treatments in the experiment described the number of independent variables in the experiment, hence, the number of treatment is 4.

Therefore, the number of treatment in the experiment is 4.

Learn more ::https://brainly.com/question/25673396

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

a) 3^2×3^2

=3^(2+2)

=3^4

b)7×7^4

=7^(1+4)

=7^5

c)10^9÷10^7

=10^(9-7)

=10^2

d)5^8÷5

=5^(8-1)

=5^7

Step-by-step explanation:

small braccket first = 216

then 5"216= 1080

5+1080-10

1085-10

1075

   The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."

(I saw the image on another question you had asked. Have a nice day!)

Answer:

-3 is not a solution

Step-by-step explanation:

Subtstitute the possible solution into the equation and see if it is true

3x -5 = 4+2x

3(-3) -5 = 4+2(-3)

-9-5 = 4-6

-14 = -2

This is not true so -3 is not a solution

Answer:

Step-by-step explanation:

We will substitute 3 for the value of x in the equation.

[tex]{ \longrightarrow \sf \qquad 3x-5=4+2x }[/tex]

[tex]{ \longrightarrow \sf \qquad 3( - 3)-5=4+2( - 3) }[/tex]

[tex]{ \longrightarrow \sf \qquad - 9-5=4+( - 6) }[/tex]

[tex]{ \longrightarrow \sf \qquad -14=4 - 6}[/tex]

[tex]{ \longrightarrow \sf \qquad -14= - 2}[/tex]

We can see that,

[tex]{ \longrightarrow \sf \qquad L.H.S ≠ R.H.S}[/tex]

Therefore,

[tex]{ \longrightarrow \sf \qquad 3 \: is \: not \: a \: solution \:of \: equation \: ( 3x-5=4+2x) }[/tex]

Answer:

Step-by-step explanation:

Let L₀ be the luminosity as measured 1 m from the source

400 = L₀/7²

L₀ = 400(49) = 19,600 lumen

L = 19600 / 10²

L = 196 Lumen

Answer:

Option 2: [tex]\LARGE\bf\mathsf{x^3x^{-7}\:=\frac{x^3}{x^{7}}}[/tex]

Step-by-step explanation:

Given the exponential expression,  [tex]\bf\mathsf{x^3\:x^{-7}}[/tex]:

In order to determine its equivalent exponential expression, we must apply the Negative Exponent Rule, where it states that: [tex]\LARGE\bf\mathsf{a^{-n}\:=\:\frac{1}{a^{n}}}[/tex].

Therefore, the equivalent expontial expression of [tex]\bf\mathsf{x^3\:x^{-7}}[/tex]  is in Option 2:  [tex]\LARGE\bf\mathsf{x^3x^{-7}\:=\frac{x^3}{x^{7}}}[/tex].

Answer:

The answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

16/24+21/24

Step-by-step explanation:

Hope it helped!!

Answer: turtles

Step-by-step explanation:

50000 tens

5000hundreds

How?

50000 tens:-

[tex]\\ \sf\longmapsto 50000(10)=500000[/tex]

5000hundreds

[tex]\\ \sf\longmapsto 5000(100)=500000[/tex]

The number 500,000 can be composed of in 50,000 tens and 5,000 hundred option (B) 50,000 tens and option (C) 5,000 hundreds are correct.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that a number that is:

= 500, 000

In the above number there is five zeroes

As we know,

Tens = 10 (one zero)

Hundreds = 100 (two zero)

We can write the above number as follows:

500,000 = 50,000x10 = 5,000 tens

500,000 = 5,000x100 = 5,000 tens

The number 500,000 can be composed of:

Where tens mean 10 and hundreds mean 100.

Thus, the number 500,000 can be composed of in 50,000 tens and 5,000 hundred option (B) 50,000 tens and option (C) 5,000 hundreds are correct.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Answer:

4(5)+4 = 24

4+5+4 = 13

4+(5+4) = 13

5+(4+4) = 13

I was having trouble understanding your question; 20+16 = 36. None of the expressions are equivalent to the sum

Answer:

D

Step-by-step explanation:

Ordenered pairs g(x):

(0,0); (2,2); (- 2,2)

g(x) = ax² + bx + c

(0,0)

a.0² + b.0 + c = 0

c = 0

(2,2)

a.2² + b.2 + c = 2

4a + 2b = 2

(- 2,2)

a.(- 2)² + b.(- 2) + c = 2

4a - 2b = 2

4a + 2b = 4a - 2b

2b + 2b = 0

4b = 0

b = 0

4a + 2b = 2

4a = 2

a = 2/4

a = 1/2

g(x) = 1/2x² + 0x + 0

g(x) = 1/2x²

I hope I've helped you.

Answer:

x=-3 and y=10 are not functions, and 3x+2x=3 is

Step-by-step explanation:

Correct me if i'm wrong

Answer:

9m by 40m : yes

10m by 36m : yes

12m by 60m : no

15m by 30m : no

18m by 25m : no

Step-by-step explanation:

Essentially this question is asking us which dimensions of the rectangles would form a park that has the same area as the triangular park.

So the first step is to calculate the area of the triangular park.

The area of a triangle can be calculated using the formula, A = (bh)/2

where b = base length and h = height.

We are given the dimensions of the triangle and it appears that the height of the park is 20m while the base length is 36m

So we have A = (bh)/2

we know that b = 36 and h = 20

So area of triangular park = (36 * 20)/2

36 * 20 = 720

720 / 2 = 360

So the area of the triangular park is 360m²

Now we want to find which dimensions of a rectangle would create a park that has the same area of the triangular park, more specifically an area of 360m²

(Note that area of a rectangle is simply length times width )

The first rectangle dimensions are 40m by 9m. These dimensions would create a park with an area of 40 * 9 = 360m². This is the same as the triangular park so the answer would be yes for this one.

The second rectangle dimensions are 10m by 36m These dimensions would create a park with an area of 36 * 10 = 360m², which is also the same as the area of the triangular park meaning the answer for this one is also yes.

The third rectangle dimensions are 12m by 60m. These dimensions would create a park with an area of 60 * 12 = 720m². this is not the same as the area of the triangular park so the answer is no for this one.

The forth rectangle dimensions are 15m by 30m. These dimensions would create a park with an area of 30 * 15 = 450m², which is also not the same as the area of the triangular park meaning that the answer for this one is no.

Finally, the last rectangle dimensions are 18m by 25m. These dimensions would create a park with an area of 18 * 25 = 450m². These dimensions would also not create a park with the same area as the triangular park therefore the answer to this one is also no.

Answer:

154.92

Step-by-step explanation:

2014/13=154.92

Answer:

m=3/16

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

y2-y1 / x2-x1

"y2" in this expression is 4 "y1" is 12

4 - 12 = -8

"x2" = 7 "x1" = 9

7 - 9 = -2

Then we divide the difference of the 2 y values and of the x values,

-8 divided by -2 = 4

Answer:

2, 10, 50, 250, 1250

Step-by-step explanation:

this is the answer because every time you will times the answer by five the first answer 2 times 5 equals 10, 10 times 5 is 50, 50 times 5 equals 250, 250 times 5 equals 1250.

plz give be brainiest