Examine the following diagram: 2 lines intersect to form 4 angles. From the top, clockwise, the angles are 1, 4, 2, 3. Which statement is not true of the given diagram? m∠2 + m∠3 = 180° m∠2 + m∠4 = 180° ∠3 and ∠4 are vertical angles ∠2 ≅ ∠4

Answer:

f'(x) = -6/x³

Step-by-step explanation:

We are given;

f(x) = 3/x²

Using quotient rule, we can write as;

f(x) = g(x)/h(x)

To find the derivative, from quotient rule, we can write;

f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²

g'(x) = 0

h'(x) = 2x

Thus;

f'(x) = [(x²*0) - (3*2x)]/(x²)²

f'(x) = -6x/x⁴ = -6/x³

f'(x) = -6/x³

Answer:

(4, 22)

Step-by-step explanation:

y = 5x + 2

y  = 3x + 10

Since both equations are equal to y, we can have both equations equal to each other).

5x + 2 = 3x + 10

5x + 2 - 3x - 2 = 3x + 10 - 3x - 2

5x - 3x = 10 - 2

2x = 8

2x/2 = 8/2

x = 4

(Substitute the x value to any equation to solve for y).

y = 5x + 2

y = 5(4) + 2

y = 20 + 2

y = 22

So, the answer is (4, 22).

Hope this helped! <3

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

Answer: $45

Step-by-step explanation: 10 for the hour she scrubbed the floor half of that which is 5 for the half hour she scrubbed so that would be $15, then 7.50 times 4 for the hours she dusted which would be 30, and 30 plus 15 is 45

Answer:

14.5 ft or 14 1/2 ft

Step-by-step explanation:

36in= 1 yard

9x36= 324in (I'm guessing this is the length)

324in (length) -150in (width)= 174in

12 in= 1 ft

174/12= 14 ft 6 in

6 inches is half a foot

14.5 ft or 14 1/2 ft

Answer:

x<-2

Step-by-step explanation:

4x-2x2=-16 so it must be anything less than -16

Negatives get smaller the more digits, so x is less than -2

Answer:

8f+4g

Step-by-step explanation:

Answer:

f(2) = - 1 and f(4) = 3

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

f(2) = 2(2) - 5 = 4 - 5 = - 1

To evaluate f(4), substitute x = 4 into f(x)

f(4) = - 3(4) + 15 = - 12 + 15 = 3

Answer:

[tex] = 200 + 50 \\ = 250 \\ [/tex]

Question  A cell phone plan costs $200 to start. Then there is a $50 charge each month.

answer 250

Answer: 6,656 rabbits.

Step-by-step explanation:

The initial number of rabbits is 26.

We know that every 30 days, this number is doubled.

Then after 30 days, the population of rabbits is: 2*26

After other 30 days, the population will be: 2*(2*26) = 26*(2)^2

After another 30 days, the population will be: 2*26*(2)^2 = 26*(26)^3

The equation for this population can be written as:

P = A*(1 + 1)^(d/30)

where:

A is the initial population, in this case, 26

d is the number of days that have ben passed.

the denominator of 30 is because the population doubles every 3 days, so when d = 30, we will have that d/30 = 1, this is the first time that the population is doubled. When d = 60, d/30 = 2, this is the second time that the population is doubled, and so on.

Then our equation is:

P(d) = 26*(2)^(d/30)

The population after 240 days will be:

P(240) = 26*(2)^(240/30) = 6,656

So after 240 days, there will be 6,656 rabbits.

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

Answer:

A

Step-by-step explanation:

might be wrong

Answer:

Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.

Step-by-step explanation:

sample answer

Answer:

1.036, 1.063, 1.36, 1.603

Step-by-step explanation:

Hope this helped, have a great day :)

Answer: D. 2

Step-by-step explanation:

-3t + 6 = 0

1. Subtract 6 from each side

-3t + 6 - 6 = 0 - 6

-3t = -6

2. Divide each side by -3 to isolate t and get the answer to the equation

-3t/-3 = -6/-3

t = 2

You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.

The given equation can be solved to obtain x = 40.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given linear equation can be solved as follows,

0.2(x - 20) = 44 - x

=> 0.2x + x = 44 + 0.2 × 20

=> 1.2x = 48

=> x = 48/1.2

       = 40

Hence, the value of x for the given equation is found to be 40.

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Step-by-step

D 0<\<12

Answer:

first things first nice picture, second i don't know what a yubu is, and third what is " re again xx"?

Step-by-step explanation:

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

hope this helped! :)

Step-by-step explanation:

We arrange the numbers in increasing order:

0.9, 1.4, 2, 2.4, 3.5

Since there are five terms, the median is the third term, which is 2.

The median of the given data set is 2.

The median is the middle number in a sorted, ascending or descending list of numbers.

Given is a data set, 1.4, 0.9, 2.4, 3.5, 2​, we need to find median,

Rearranging the data from lowest to greatest,

0.9, 1.4, 2, 2.4, 3.5

Since, the median is the middle most value in a data, therefore, the middle most value of the given data is 2.

Therefore, we can say the median is 2.

Hence, the median of the data is 2.

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Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

Answer: Slope = 2; 3-intercept=-1

Step-by-step explanation: