rationalise the denominator√3-√5/√7-√6​

Answer:

25

Step-by-step explanation:

complementary angles is when their sum = 90 so

30 + 2x + 10 = 90

2x = 90 - 40

2x = 50

X = 25

Answer:

x = 25

Step-by-step explanation:

1. Due to the fact that Angle F and angle G are complementary, 2x + 10 + 30 = 90.

2. Solve this equation: 2x + 10 + 30 = 90

Add 10 and 30

2x + 10 + 30 = 90

2x + 40 = 90

3. Subtract 40 from 90

2x + 40 = 90

2x = 90 - 40

2x = 50

4. Divide 2 from 50

x = 50/2

x = 25

Answer:

Your answer is 24.

Step-by-step explanation:

The data set is 22,23,23,23,24,24,25,26,26,26,28

The median of this set is 24

The mean is 24.54

The mode is 23,26

The range is 6

Answer:

y=2x+1

Step-by-step explanation:

The point-slope form is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from ordered pair, and m being the slope. You can plug all of those values into the original equation:

(y-y1)=m(x-x1)

y-3=2(x-1)

y-3=2x-2

y=2x+1

Answer:

Answer(s): (2,0,-4,-5)

log12 144 =  2

log15 1 = 0

log3 (  1/ 81  )  = -4

log 0.00001 =  -5

The values of the expression are,

1. 2

2. 0

3. -4

4. -5

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given that;

We have to use the property as;

aᵇ = x then

b = logₐx

So, we get;

log₁₂ 144 = a

12ᵃ = 144

12ᵃ = 12²

On comparing the base

= 2

Now,  second is,

log₁₅ 1 = a

15ᵃ = 1

a = 0

Now, log₃ (1/81)

3ᵃ = 1/81

3ᵃ = 3⁻⁴

a = - 4

And, log 0.00001

= log (10)⁻⁵

= -5 log 10

= -5

Learn more about Logarithm here:

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Answer: B. (2,0) and ([tex]-\frac{1}{2}[/tex], 0)

Step-by-step explanation: Try drawing a graph of it to see where the curve intersects the x-axis, or simplify it to [tex]x^2-3x-2=0[/tex], and solve for the x values.

Answer:

what do you want me to do with that

factor?

Answer:

34

Step-by-step explanation:

$575-$150= $425

So $425 is how much she needs bc she already gets $150 each week so subtract it from the $575. then do

$425/$12.50=(hours)34) so she needs to work 34 hours this week to get 575$

[tex]49 = \frac{x}{7} [/tex]

Multiply both sides of the equation by 7

[tex]49 \times 7 = \frac{x}{ \cancel7} \times \cancel7[/tex]

[tex]343 = x[/tex]

[tex]x = 343[/tex]

[tex]\green{ \rule{300pt}{3pt}}[/tex]

Given parameters:

 The coordinates are:

                 P1 (8, -4) and P2 (-3, 9)

Unknown:

The midpoint of the endpoints = ?

Solution:

     x₁  =  8

     y₁  = -4

     x₂  = -3

     y₂  = 9

  midpoints;     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2} ,[/tex] [tex]\frac{y_{1} + y_{2} }{2}[/tex]

                                       = [tex]\frac{8 +(-3)}{2}[/tex] , [tex]\frac{-4 + 9}{2}[/tex]

                                       = [tex]\frac{5}{2}[/tex] , [tex]\frac{5}{2}[/tex]

   The coordinate of the x-axis is [tex]\frac{5}{2}[/tex]

Answer: Below

Step-by-step explanation:

First, we start with x. We see the x is opposite of 30, so x is 30.

x + y + y = 180, since they lay on a straight angle.

180 - 30 = 150

since we still have 2 y's left:

2y = 150

y = 75

Answer: 47 minutes

Step-by-step explanation:

First substract 22 from 60 to see how much it took to get till 9 and then add the remaining 9 minutes

Answer:

47 min

Step-by-step explanation:

22 from 8:22 + 47 min = 8:69

69 simplified = 1 hr 9 mins

9:09

pls mark brainliest if I'm correct

Answer:

its linear (i know  how to draw the graph but i cant show you here, just make umm an x axis and y axis from 1 to 30 ) (also i feel like theres another way to know if its linear but this is how i would do it!)

Step-by-step explanation:

to see if its linear ummm we first have to find the slope, the equation for the slope is

y2 - y1 / x2 - x1

lets use the points (2, 8) and (3, 12)

12 - 8/ 3 -2

4 / 1

4

y = 4x + b

now to find the y-intercept lets input a point we did not use yet

(5, 20)

20 = 4(5) + b

20 = 20 + b

b = 0

y = 4x

now we check if its linear with the points  (6, 24) and (3.5, 14) sooo

24 = 4(6) ?

24 = 24

14 = 4(3.5) ?

14 = 14

so yes it is a linear graph

Answer:

Step-by-step explanation:

Step-by-step explanation:

14x + 5 = 12

14x = 12 - 5

14x = 7

x = 7/14

x = 1/2

Hey there!

A = ½ (a + b) h,

⇒ A = ½(8+16)14

⇒ A = ½(24)14

⇒ A = (12)(14)

⇒ A = 168

Therefore, Area of trapezoid is 168 sq. un

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=14\\ a=16\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{14(16+8)}{2}\implies A=\cfrac{14(24)}{2} \\\\\\ A=7(24)\implies A=168 \end{array}[/tex]

Answer:

4 dollars

Step-by-step explanation:

Answer:

4.10$

Step-by-step explanation:

Answer:

Equilateral

Step-by-step explanation:

It is Equilateral because all sides have the same number of lines(1) telling us that all sides are the same :)

Have a wonderful day!!

Please rate and mark brainliest!!

Answer:

They would each pay $7.15

Step-by-step explanation:

please mark me as brainlest

Answer:

she sends 14 texts

Step-by-step explanation:

12 + x = 26

------------------          

-12         -12

 x      =  26 - 12

 x      =  14

Answer:

40 doors.

Step-by-step explanation:

1 train carriage = 4 doors

10 train carriage = 4 x 10 = 40 doors

Answer: Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

−

1

)

Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

−

1

)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.  (1.7 + 4.2)²   =     34.81      =  3.76

         2.1³                9.261

b.  (672 - 134)²    = 289,444     =   13,102.94

          4.7²                 22.090

The actual width of the entire building is 28 feet and the length of the entire building is 84 feet.

Given that, the scale for the blueprints to the actual house is 2 inches to 7 feet.

The scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object. The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Now, width = 8 inches in feet is 4 × 7 =28 feet

Length = 14+10 =24 inches in feet is 12 × 7 = 84 feet

Therefore, the actual width of the entire building is 28 feet and the length of the entire building is 84 feet.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

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