The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).

Find the equation of the perpendicular bisector of the side QR

9514 1404 393

Answer:

  4^4·6^5·7^7 = 1,639,390,814,208

Step-by-step explanation:

Taking the cube root multiplies each exponent by 1/3.

  ((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)

Answer:

Emily will earn $33,020 in one year.

Step-by-step explanation:

635×52=33,020

Answer:

69 miles/hour

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Distance travelled = 3,518 miles

Time taken = 51 hours

Average speed = Total distance travelled / Total time taken

= 3,518 miles / 51 hours

= 68.980392156862

Approximately,

Average speed = 69 miles/hour

Answer: 69 miles/hour

Step-by-step explanation:

Answer:

6/7 inches

Step-by-step explanation:

If 7 stamps fit perfectly, we can find the width of each stamp by dividing the width of the frame by 7:

= 6/7

So, the width of each stamp is 6/7 inches

Answer:

Step-by-step explanation:

Hello,

Let's x then number of students.

x is divisible by 12,15,18 thus by 180 (lcm)

x=180*k is a square

2²*3²*5*k= a square ==> k=5

x=180*5=900

Proof:

900/12=75

900/15=60

900/18=50

900=30²

Answer:

A = 127.48 rounded

Step-by-step explanation:

Area of a circle:  

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]

A = 127.48 rounded

Answer:

It's 127.47

First we take the radius and square it

6.37^2

then we multiply it by pi

40.5769 x π = 127.47

Answer: 7(n + 4)

Step-by-step explanation:

I'm not sure how to explain this one, but I'll try:

Seven times the sum of a number, n, and four

7 times n + 4   (sum means addition)

Hello,

[tex]f^{-1}(6)=5[/tex]

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

Answer:

[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]

Step-by-step explanation:

The Point Slope formula is a algebraic formula used for

The formula is

[tex]{y - y _1} = m(x - x_1)[/tex]

We are given its slope and we know a pair of points

Note a y intercept is (0,b). Where b is any real number so our points are (0,2).

Plug it in the expression

[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]

Answer:

p = 3

Step-by-step explanation:

Applying,

mid point of A and B is

P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1

From the question,

Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11

Substitute these values into equation 1

P = [(6-2)/2,(-5+11)/2)

P = (2,3)

comparing,

P(2,p) to (4,3)

Therefore,

p = 3

Given:

Consider the given function is:

[tex]f(x)=5^x+1[/tex]

To find:

The average rate of change between x = 0 and x = 4.

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

We have,

[tex]f(x)=5^x+1[/tex]

At [tex]x=0[/tex],

[tex]f(0)=5^0+1[/tex]

[tex]f(0)=1+1[/tex]

[tex]f(0)=2[/tex]

At [tex]x=0[/tex],

[tex]f(4)=5^4+1[/tex]

[tex]f(4)=625+1[/tex]

[tex]f(4)=626[/tex]

Now, the average rate of change between x = 0 and x = 4 is:

[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]

[tex]m=\dfrac{626-2}{4}[/tex]

[tex]m=\dfrac{624}{4}[/tex]

[tex]m=156[/tex]

Hence, the average rate of change between x = 0 and x = 4 is 156.

Answer:

80 degrees

Step-by-step explanation:

First find the the angles N and L:

5x=3x+40

2x=40

x=20

m<N= 100 m<L=100

Now we know that the sum os all Interior angles of a parallelogram is 360

and you know that opposite sides are equal

hence,

2y= 360-2(100)   y being angle M (or o)

2y= 160

y=80

Answer:

the first graph

Answer:

1st option

Step-by-step explanation:

If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.

Answered by GAUTHMATH

Answer:

The answer is "What is important for me to understand?".

Step-by-step explanation:

It is because it is based also on the conclusion that the word in the text read the Jac can draw. Essentially, the particular excerpt read by Jac in his coding book explains that, whether old or new, all older techniques used in the past, compared with the new factorization methods, in truth all shortcuts in mathematics are not feasible and hence all steps have to occur. This implies Jac has to discover what really is important, what he must comprehend, and whether whatever tactics he is using are old and new. The same would be valid of life itself; irrespective of how he chooses to live his life, there are times where shortcuts cannot be used.

Answer:

Option (2)

Step-by-step explanation:

From the table attached.

First column is representing the x-values (input values) and second column is representing the value of the function (output values).

For x = -6,

f(x) = 8

For x = 7,

f(x) = 3

For x = 4,

f(x) = -5

For x = 3,

f(x) = -2

For x = -5,

f(x) = 12

Therefore, f(x) = -2 is one of the output values.

Option (2) will be the correct option.

The value that is an output of the function among the options is -2.

A function relates an input to an output.

A function relates each element of a set with exactly one element of another set.

Therefore, the output are the dependent variable. They are also called range.

Generally, they are regarded as range, output or dependent variables.

Therefore, the output of the table is f(x) values which includes the following:

Hence, the output of the function in the option is -2.

learn more on functions here: https://brainly.com/question/26608835

Answer:

60 u²

Step-by-step explanation:

Finding second diagonal :-

Using formula :-

Answer:

Area of rectangular land = 1,440 cm².

Perimeter of rectangular land = 152 cm

Step-by-step explanation:

Given:

Length of rectangular land = 36 cm

Width of rectangular land = 40 cm

Find:

Area of rectangular land

Perimeter of rectangular land

Computation:

Area of rectangle = length x width

Area of rectangular land = 36 x 40

Area of rectangular land = 1,440 cm²

Perimeter of rectangle = 2[l + b]

Perimeter of rectangular land = 2[36 + 40]

Perimeter of rectangular land = 2[76]

Perimeter of rectangular land = 152 cm

Answer:

[tex]7z + 15 + 27 \\ 7z + 42 \\ z = 42 \div 7 \\ z = 6[/tex]

Answer:

24

Step-by-step explanation:

2 hours * 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

4 * 6 customers = 24 customers

Answer: 24

A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.

We know that

2 hours x 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

= 4 x 6 customers

= 24 customers

Learn more about the unitary method;

https://brainly.com/question/23423168

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Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]

[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]

ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]

ED = 9.25 m

Height of the goalpost is 9.25 m.

Answer:

42

Step-by-step explanation:

Perimeter is [tex]2l+2w[/tex]

Answer: 42

Hope this helped! Please mark brainliest :)

Answer:

[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]

Answer: 10

Step-by-step explanation:

(4y + 8x + 6) + 23 + (4x + 6y + 7)

10y + 12x +23 + 7 + 6

10y + 12x + 38

y = 10

Answer:

10

Step-by-step explanation:

just want to feel specialpecial

Answer:

[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]

Answer:

Step-by-step explanation:

Rule defining the reflection across the line x = -2 has been given as,

[tex]r_{x=-2}[/tex]

Line x = -2 will work as a mirror for the given triangle J, K, L.

That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,

Vertices of the image triangle J'K'L' will be,

J' → (-5, 2)

K' → (-3, 2)

L' → (-4, 1)

[tex]\huge\tt\pink{Answer}[/tex]

A≈852.83cm²

Radius

7cm

Height

31cm

the sum of triangle is 180:

[tex]y + 40 + y + 30 = 180 \\ 2y + 70 = 180 \\ 2y = 180 - 70 \\ 2y = 110 \\ y = \frac{110}{2} \\ y = 55[/tex]