4 1/3 - 2 1/2 divided by 1 2/3

Given:

The equation of a line is:

[tex]y=-\dfrac{5}{7}x+2[/tex]

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=-\dfrac{5}{7}x+2[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{5}{7}[/tex]

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{5}{7}\times m_2=-1[/tex]

[tex]m_2=\dfrac{7}{5}[/tex]

Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:

[tex]y-y_1=m_2(x-x_1)[/tex]

[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]

[tex]y+3=\dfrac{7}{5}(x+5)[/tex]

Using distributive property, we get

[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]

[tex]y+3=\dfrac{7}{5}x+7[/tex]

[tex]y=\dfrac{7}{5}x+7-3[/tex]

[tex]y=\dfrac{7}{5}x+4[/tex]

Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.

Step-by-step explanation:

the answer is In photo above

Answer:

x(3x+14)

Step-by-step explanation:

what do those terms share? they share the letter "x"

therefore we multiply x by 3x^2/x + 14x/x

3x^2/x = 3x and 14x/x = 14

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

[tex]\frac{5+2\sqrt{3} }{7+4\sqrt{3} }[/tex]

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]

= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3} }[/tex] ← expand numerator/ denominator using FOIL

= [tex]\frac{35-20\sqrt{3}+14\sqrt{3}-24 }{49-28\sqrt{3}+28\sqrt{3}-48 }[/tex]

= [tex]\frac{11-6\sqrt{3} }{1}[/tex]

= 11 - 6[tex]\sqrt{3}[/tex]

with a = 11 and b = 6

Answer:

c

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

You need to substract 6 to get the next term.

I HOPE THIS HELPS :)

Answer:

-3

Step-by-step explanation:

21 - 6 = 15

15 - 6 = 9

9 - 6 = 3

3 - 6 = -3

Answer:

Step-by-step explanation:

First find the first radius

c=88cm

=2*22/7*r=88cm

=r=14cm

22/7 (pie as common)(R1^2+R2^2=637cm)

14^2+R2^2=637cm

196+R2^2=637cm

R2^2=637-196=441

R2=√441

R2=21

first radius =14cm

second radius  =21cm

Answer:

C = 12π or 37.7

Step-by-step explanation:

A = πr²

36π = πr²

π's get divided out and you are left with:

r² = 36

if you take the square root of 'r' it will equal the square root of 36, which is 6

C = 2πr

C = 2π(6)

C = 12π or 37.7

Answer

the answer is 12*sqrt pi

Answer:

The last number line or D.

Step-by-step explanation:

To find the remaining coats to be collected, subtract the coats that are collected from the total of coats needed.

So:

78 - 13= 65

They must collect a total of 65 and more to break the last year's record of 78 coats. Number line D, represents the solution of this inequality.

Hope this helps! Have a nice dayy! :)

Answer:

$30

Step-by-step explanation:

100+ the twenty you got off is 120 and dvide 120/4=30   I am either making this way to easy or just dont understand lol

Answer:

(x-a)(y-b)=r²

(x-(-3))(y-(-5))=r²

(x+3)2(y+5)2=36

Answer:

the coefficient of x is 2/3 which is the constant.

Answer:

just look at the constant terms...

A: 5

B: 7

C: -5

1) 11-6 = 5 thus answer A

2) -3 -2 = -5 thus answer C

3) -5 - (12) = -5 + 12 = 7 thus answer B

Step-by-step explanation:

Answer:

ok so we just substate the number in so

6+9/6

6+1 1/3 = 7 1/3

so for part a the answer is 7.33

for part b

2+9/2

3+4 1/2 =7 1/2

so the answer is 7.5

A:7.33

B:7.5

Hope This Helps!!!

Answer:

A, 2

B, 10

C, undefined

Step-by-step explanation:

Just did the assignment  E2021

Answer:

3(y+7)=2

Step-by-step explanation:

Answer:

inverse: f-(x)=x+3/5

Step-by-step explanation:

Set f(x)=x and x=y

x=y-3/5

isolate y by adding 3/5 to both sides

x+3/5=y

this is the inverse :)

Answer:

Step-by-step explanation:

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

z  at  0 = .5

z at  1 = 0.841344746

(look these up in a Z table)

probability "between" = 0.841344746 - .5 = 0.3841344746

0.384 is the probability that a fish is caught in spring run between 15cm and 19cm

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that  fish commission states that the mean length of all fish in spring run is mean =15cm

the standard deviation of variance=4cm,

We need to find  the probability that a fish is caught in spring run :between 15cm and 19cm

The z score formula is z=x-µ/σ

z(lower) = (15-15)/4 = 0

z(upper) = (19-15)/4= 1

From the table of z values we get

z  at  0 is 0.5

z at  1 is 0.841344746

probability between 0.841344746 -0 .5 is 0.3841344746

Hence, 0.384 is the probability that a fish is caught in spring run between 15cm and 19cm

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ5

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.

Answer:

{(2, 3), (3, 4), (6, 2), (7, 3)}

Step-by-step explanation:

{(2, 3), (3, 4), (6, 2), (7, 3)}

this solution has different domain values : 2, 3, 6, 7

Answer:

Step-by-step explanation:

c

Answer:

6

Step-by-step explanation:

So here are the numbers that are factors of 34 and multiples of 7

1,2,14,17,56,91

So count the numbers, 6. And that's ur answer, believe me

Answer:

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

Answer:

C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

Step-by-step explanation:

The axis of symmetry is x = − b/2a

= -(-3) / 2(-1)

= 3/(-2)

= -1.5

the vertex => x = -1.5

y= -(-1.5)²-3(-1.5)+6 =

-2.25 +4.5+6= 8.25

Answer:

k = 3

Step-by-step explanation:

Parent function is f(x) = [tex]0.25^{x}[/tex]

As shown in the graph, function 'f' has been shifted 3 units upwards to form an image function 'g'.

If the given function is shifted 3 units upwards, equation of the new function will be,

g(x) = [tex]0.25^{x}+3[/tex]

Therefore, the value of k will be,

k = 3

Answer:

Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.

Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.

Answer:

infinity + infinity =  infinity

Step-by-step explanation:

Mark brainliest please :)

Answer:

ans: x= 11/4 and y= 11/8

Step-by-step explanation:

4x=6y=6 mean

4x= 6 and 6y= 6 so, 6-6=0 i.e

4x - 6y = 0 say equation ....1

and given

2x + 5y = 11 say equation ....2

to solve by eliminating methods,

multiply equation....2 by 2 and subtract from ....1

i.e

4x - 6y =0

4x + 10y= 22

(-) (-) (-)

0+ (-)16y = - 22

y = -22/-16

y = 11/ 8

to get , x put y in either equation 1 or 2

I.e x= 11/4

this value of x and y satisfy both equations

Answer:

my previous account deleted...how r u sadie??