112
Work out the sum of 2/6 and 1/6
Give your answer in its simplest form.​

Answer:

x = 5

Step-by-step explanation:

-2 -(x-3) = -4  

 You have to switch the signs into their opposites when you have -(?)

-2 - x + 3 = -4              Add liked terms

-x + 1 = -4              

    - 1   - 1                     Subtract 1 from both sides

-x = -5                         Get rid of the negative in the x

/-1   /-1                          Divide -1 from each sides

x = 5

*attachment contains the missing diagram

Answer/Step-by-step explanation:

Given that RP ⟂ QS, <RPS is a right angle.

Therefore, m<RPS = 90°

Since RP bisects <SRQ, therefore m<PRS = ½ of m<SRQ.

Therefore:

m<PRS = ½*104°

m<PRS = 52°

m<S + m<RPS + m<PRS = 180° (sum of ∆)

m<S + 90° + 52° = 180° (substitution)

m<S + 142 = 180°

Subtract 142 from each side

m<S = 180° - 142°

m<S = 38°

Answer:

[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]

Step-by-step explanation:

According to the statement, we find the following inputs:

[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]MD = 9[/tex]

[tex]NF = 5[/tex]

Given than longer base and shorter base are parallel to each other, we conclude that:

[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]

[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]

[tex]\angle KND = 45^{\circ}[/tex]

[tex]\angle FND = 90^{\circ}-\angle KND[/tex]

[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)

[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)

[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]

[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)

[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)

If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:

[tex]DO = MO \approx 6.364[/tex]

[tex]NO = OF \approx 3.536[/tex]

The value of MK is obtained from the following relationship:

[tex]MK = \frac{MD-NF}{2}[/tex]

[tex]MK = \frac{9-5}{2}[/tex]

[tex]MK = 2[/tex]

And the value of KD is calculated from this expression:

[tex]KD = MD-MK[/tex]

[tex]KD = 9-2[/tex]

[tex]KD = 7[/tex]

Now by the Pythagorean Theorem we find that:

[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]

[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]

[tex]NK \approx 7.001[/tex]

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

[tex]MF = NO + DO \approx 7.001[/tex]

Lastly, the area of the isosceles trapezoid is determined by the following formula:

[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]

[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]

If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:

[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]

[tex]A_{AMNFD} = 49.007[/tex]

Answer:

Answer is f(3)

Step-by-step explanation:

i did test

Answer:

4

Step-by-step explanation:

just Add four every time hopes it help : )

Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0

Answer:

Speed = 24 km/h

Step-by-step explanation:

Speed =  Distance / Time

A cyclist travels 12 km from home to the park.

She leaves home at 13:00 and arrives at the park at 13:30.

Distance = 12 km

Time = 0.5 Hours

Speed =  12 / 0.5

Speed = 24 km/h

Answer:

Step-by-step explanation:

12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.

12*2= 24 km/h

Answer:

50 divided by 1

Step-by-step explanation:

this is the answer!!!!!

1)

2x - 3y = - 1

For y = x - 1

So,

2x - 3y = - 1, Subsitution

2x - 3(x - 1) = - 1

2x - 3x + 3 = - 1

- x + 3 = - 1

- x = - 1 - 3

- x = - 4

x = 4 ✔

y = x - 1

y = 4 - 1

y = 3 ✔

So => HP = {x, y} = {4, 3}

=== Thanks ===

Answer:

c.  [tex] x = \pm 7 [/tex]

Step-by-step explanation:

[tex] 2x^2 = 98 [/tex]

[tex] x^2 = 49 [/tex]

[tex] x = \pm\sqrt{49} [/tex]

[tex] x = \pm 7 [/tex]

Answer:

F^-1(x) = x+9

Step-by-step explanation:

Hope this helps!  Stay Safe!\

The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a   f⁻¹(x) = x + 9

From the question, the given function is

f(x) = x - 9

To determine the inverse of this function,

That is,

y = x - 9

To do that, add 9 to both sides

We get

y +9 = x - 9 +9

y + 9 = x

∴ x = y + 9

That is,

f⁻¹(x) = x + 9

Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a   f⁻¹(x) = x + 9

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Answer:

y=6x+9

Step-by-step explanation:

y=mx+b

add 6x on both sides

The numbers that divide 330 are 2, 3, 5 and 11.

In order to find divisibility, there are certain rules for different numbers. If a number is divisible by two numbers then it is also divisible by their product.

The given number is 330.

The divisibility rules for the number given can be applied one by one as follows,

Divisibility for 2,

For a number to be divisible by 2 its unit digit must be 0, 2, 4, 6 or 8.

Thus, 330 is divisible by 2.

Divisibility for 3,

For a number to be divisible by 3 sum of the digits of the number must be divisible by 3.

Since sum of the digits of 330 is 6 which is divisible by 3, 330 is also divisible by 3.

Divisibility for 5,

A number should either end with 0 or 5 in order to be divisible by 5.

Thus, 330 is divisible by 5 as it ends with 0.

Divisibility for 7,

For a number to be divisible by 7, the digit at ones place multiplied by 2 and then subtracted from the remaining digits must be divisible by 7.

Here, in 330 this rule is applied as,

33 - 2 × 0 = 33

Since 33 is not divisible by 7, 330 is also not divisible.

Divisibility for 11,

The difference of the sum of the digits at even place to the odd place must either be zero or divisible by 11.

In 330, 3 + 0 - 3 = 0.

Thus, 330 is divisible by 11.

Hence, the given number 330 is divisible by 2, 3, 5 and 11.

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Answer:its ok me too :(

Step-by-step explanation:hope you get smart soon have a nice day:)

Answer:

1. 10

2. 10

3. 12

4. [tex]3\sqrt{14}[/tex] or 11.22497216

Step-by-step explanation:

1.  [tex]a^{2}+b^{2} =c^{2}\\\\a^{2} = 8^{2} = 64\\b^{2} = 6^{2} = 36\\c^{2} = a^{2} + b^{2} = 64 + 36 = 100\\c = \sqrt{100} = 10[/tex]

2. [tex]c^{2}-a^{2} =b^{2}\\\\a^{2} = 24^{2} = 576\\c^{2} = 26^{2} = 676\\b^{2} = c^{2} - a^{2} = 676 - 576 = 100\\b = \sqrt{100} = 10[/tex]

3.[tex]c^{2}-a^{2} =b^{2}\\\\a^{2} = 5^{2} = 25\\c^{2} = 13^{2} = 169\\b^{2} = c^{2} - a^{2} = 169 - 25 = 144\\b = \sqrt{144} = 12[/tex]

4. [tex]c^{2}-b^{2}=a^{2}\\\\b^{2} = 11^{2} = 121\\c^{2} = \sqrt{137}^{2} = 137\\a^{2} = c^{2} - b^{2} = 137 - 11 = 126\\a = \sqrt{126} = 3\sqrt{14} = 11.22497216[/tex]

Answer:

(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)

=4^x +5 -2x +5

=4^x -2x +10

Step-by-step explanation:

Answer:

[tex]9909^2\\[/tex]

or

[tex]98188281[/tex]

Answer:

x=-5

Step-by-step explanation:

4x-2x = -10

2x = -10

x= -5

The solution for the equation 4x - 10 = 2x is x=-5.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as:-

4x + 10 = 2x

Take the variables in the same side and solve for the value of x.

4x-2x = -10

Subtract the term 2x from the term 4x to get the value of x.

2x = -10

Divide the number -10 by 2 to get the exact value of x.

x = -5

Therefore, the solution for the equation 4x - 10 = 2x is x=-5.

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Answer:

-2.5, 4/6, 7

Step-by-step explanation:

We know this because -2.5 is the only negative number within the sequence, 4/6 is just a fraction so it's not a full number of 6, making 7 the greatest number.

Answer:

-2.5, 4/6, 7

Step-by-Step:

Answer:

hey buddy im gona help you!

Step-by-step explanation:

Answer:

16777216

Step-by-step explanation:

64 times 64 equals 4096. 4096 to the power of 2 is 16777216.

Answer:

if this is on Imagine Math then its the first answer

Step-by-step explanation:    got it right!

The correct choices to represents the function, h is shown in figure.

⇒ h (x) = 4x - 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

This diagram represents a function named h.

Now, We have;

The correct equation to represent the equation is,

h (x) = x × 4 + 9- 2)

h (x) = 4x - 2

Hence, We can draw the equation of line and find that the correct choices to represents the function, h

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Answer:

3 miles

Step-by-step explanation:

122/2 is 61

64 plus 32 is 96. 96/1.5 is 64 meaning that she goes 64 miles an hour.

so she goes 3 miles faster on average than latrell, with latrell going 61 an hour average and her going 64 an hour average

Answer:

Tisha is faster than Latrell by 3 miles/hour

just did the math

Answer:

B) rotation 180 degrees about the origin

Step-by-step explanation:

Also, what do the words underneath D) say? I think the answer could also be a reflection across y = x.

Answer:

both are correct

Step-by-step explanation:

both are correct because they're the same equation...Gabriels equation is just simplified. If you simplified his sisters equation, it would be equal to Gabriels equation

Answer:

try your best

Step-by-step explanation:

Answer:

Eric's father work 5 hours each afternoon

Step-by-step explanation:

Let x be the no. of hours Eric's father work each afternoon

He works for hours in morning each day = 3

He works for total hours in morning in 5 days=[tex]3 \times 5 = 15[/tex]

He works for total hours in afternoon in 5 days=5x

We are given that he works a total of 40 hours each 5-day workweek.

ATQ

15+5x=40

5x=25

x=5

Hence Eric's father work 5 hours each afternoon

The time taken by sound to reach your ear is 0.25 second.

The speed of sound at temperature of 0º C is 331.5m/s

the relation between distance , time and velocity is,

                [tex]x=v*t\\\\t=\frac{x}{v}[/tex]

Where, x is distance, v is velocity and t is time.

Given that,  [tex]x=82m,v=331.5m/s[/tex]

Substitute values in above relation.

              [tex]t=\frac{82}{331.5}=0.25second[/tex]

the time taken by sound to reach your ear is 0.25 second.

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