Given the points Q(-3, -4) and R(2, 0), find the coordinates of the point P on directed line segment QR that partitions segment QR such that the ratio of QP to PR is 2

Answer:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]

Step-by-step explanation:

Given

See attachment for model

Required

Determine [tex]\frac{4}{7}\times\frac{13}{9}[/tex] from the model

The model is represented by:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]

To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 36 ---- this represents the numerator

So, we have:

[tex]\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}[/tex]

To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition

The number of shaded box is 63 ---- this represents the denominator

The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator

So, we have:

[tex]\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}[/tex]

The equation becomes:

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}[/tex]

[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hrs. of labor

Step-by-step explanation:

200-50= 150

150/25= 6

Step-by-step explanation:

-16(2)<4x(2)-x/2(2)

-32<8x-x

-32<7x

-32/7<7x/7

-32/7<x

-4.5714285714285714<x

~-4.56<x

So after drawing the number line, indicate it starting from negative 4.6 and pointing the arrow towards the right. Do not shade

Answer:

10.3 units

Step-by-step explanation:

coordinate points are

T(2, -2) =(x1 , y1)

W(-7, 3) =(x2 , y2)

distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]

=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]

=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]

=[tex]\sqrt{81 + 5^2[/tex]

=[tex]\sqrt{81 + 25[/tex]

=[tex]\sqrt{106[/tex]  

=10.29563014

=10.3 (after converting it to the nearest tenth)

Answer:

15

Step-by-step explanation:

looks like quartile 3 is at 45

IQR is Q3-Q1 so 45-30 = 15

Answer:

the independent variable

Step-by-step explanation:

tome is the independent variable

position is the dependent variable

In the given graph titled "Time vs. Position of Battery Operated Car," the "Time (s)" represents the independent variable.

The independent variable is typically plotted on the x-axis of a graph and represents the variable that is intentionally changed or controlled in an experiment or study.

In this case, the graph shows how the position of the battery-operated car changes over time, with time being the independent variable.

So the time represents the independent variable.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Answer:

never

Step-by-step explanation:

Intersecting planes are planes that intersect along a given line.

To explain this better, consider the following definitions:

i. A point: This is denoted by a dot and it is a location marked on a space or a plane.

ii. A line: This is the distance between two points. It is one-dimensional.

iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.

Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.

Answer:

1968

Step-by-step explanation:

Answer: There are 20 sides of a given regular polygon.

Step-by-step explanation:

To calculate the sides of a regular polygon, we use the equation:

[tex]\text{Number of sides}=\frac{360^o}{\text{Smallest angle of rotation}}[/tex]

We are given:

Smallest angle of rotation = [tex]18^o[/tex]

Putting values in above equation, we get:

[tex]\text{Number of sides}=\frac{360^o}{18^o}\\\\\text{Number of sides}=20[/tex]

Hence, there are 20 sides of a given regular polygon.

Answer:

20

Step-by-step explanation:

edg did the test

Answer:

y = 5/2x + 8

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-2) / -2 - (-4)

5 / 2

= 5/2

y = 5/2x + b

3 = 5/2(-2) + b

3 = -5 + b

8 = b

Step-by-step explanation:

Let,

the telephone pole be AB

the wire be AC

therefore AB=24

AC=26

By using Pythagora's theorem

(AC)² =(AB)² + (BC)²

(26)² =(24)² + (BC)²

676 = 576 + (BC)²

(BC)²= 676 - 576

(BC)²=100

BC =✓100

BC. =10

Therefore, the base of the telephone pole is set 10m far

Answer: The formula for sector area is simple, multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2. So you want to do that for every problem like this

Step-by-step explanation:s

=========================================================

Explanation:

Let's ignore the area of the shaded slice for now. Instead, we'll find the area of the full circle

We plug in the radius r = 1 to find that

A = pi*r^2

A = pi*1^2

A = pi

The exact area of that full circle is pi square meters. You can think of an actual pie (the baked pastry, not the constant) with this area as a way to help conceptualize things.

If we wanted the whole circle, then we'd say pi is the answer. However, we only want a slice of that circle. The fractional amount 66/360 represents the slice we want. This fraction reduces to 11/60 after you divide both parts by 6. If you were to cut the pizza up into 60 slices, then you would shade 11 of them in to represent the green area.

Multiply 11/60 with the area pi to get the final answer 11pi/60

This answer is exact in terms of pi

To get an approximate value, you could replace pi with 3.14 to get 11pi/60 = 11*3.14/60 = 0.57567 meaning the green shaded area is roughly 0.57567 square meters. Use more decimal digits of pi to get a more accurate shaded area.

Answer:

38 units

Step-by-step explanation:

The sides of the polygon can be counted directly, as they are all straight

EF = 2

FG = 10

GH = 9

HJ = 8

JK = 7

KE = 2

perimeter is the sum of all sides

= 2 + 10 + 9 + 8 + 7 + 2

= 38 units

(3) 8

Step-by-step explanation:

Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.

BC/AB = DE/AD

BC/10 = 12/(10 + 5) = 12/15 = 4/5

or

BC = 10(4/5) = 8

Answer:

Just replace the variable "x" with "5":

f(5) = 2×5 + 4 = 14

Answer: f(5) = 14

Step-by-step explanation:

Cubic stack would mean all the sides are the same length.

The length of the side is given as 3 yards.

Volume = 3^3 = 3 x 3 x 3 = 27

Volume = 27 cubic yards.

Answer:

x = 10

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

8(x-1) = 6(x+2)

Distribute

8x-8 = 6x+12

Subtract 6x from each side

8x-8 -6x = 6x+12-6x

2x-8 = 12

Add 8 to each side

2x-8+8 = 12+8

2x=20

Divide by 2

2x/2 = 20/2

x = 10

Answer:

x must be 10

Step-by-step explanation:

The two angles shown are "vertical angles" and are thus equal.

So 8(x - 1) = 6(x + 2), or (after carrying out the indicated multiplication):

8x - 8 = 6x + 12, or

2x = 20

Then x must be 10.

Given:

The parent function is:

[tex]f(x)=2^x[/tex]

The other function is:

[tex]g(x)=2f(x)[/tex]

To find:

The statement that describes a key feature of function g.

Solution:

We have,

[tex]f(x)=2^x[/tex]

[tex]g(x)=2f(x)[/tex]

Using these two functions, we get

[tex]g(x)=2(2)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]g(x)=2(2)^{(0)}[/tex]

[tex]g(x)=2(1)[/tex]

[tex]g(x)=2[/tex]

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

2. There are 5 students 14 years old 7 grade

Answer:

81 grams

Step-by-step explanation:

if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7

then  solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81

Answer:

Talisa is 62 inches tall

Step-by-step explanation:

tan = opp/adj

tan60 = opp/36

36 * tan 60 = opp

use calculator

opp = 62.353829072479583

Rounded

Talisa is 62 inches tall

Answer:

Answer:

60 apples and oranges

Step-by-step explanation:

18/3/7 = 42

18/42 = 3/7

18+42 = 60

Answer:

v = 189 ft³

Step-by-step explanation:

v = lwh

v = 3 * 7 * 9

v = 189 ft³

Answer:

Maximum value.

it = -1.

Step-by-step explanation:

Maximum value as the coefficient of x^2  is negative.

To find this value we convert to vertex form:

y = -3x^2 + 6x - 4

y = -3(x^2 - 2x) - 4

y = -3[(x - 1)^2 - 1] - 4

y = -3(x - 1)^2 + 3 - 4

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

Minimum value = -1.

Answer: 1.  x = 2

2. x = -2

Step-by-step explanation:

Answer:

4 2/3 + 1 3/4 = 6 5/12

Answer:

y=4x + 3/4

Step-by-step explanation:

Answer:

4 = ln x

Step-by-step explanation:

e^4=x

Take the natural log of each side

ln(e^4)=ln(x)

We know ln a^b = b ln a

4 ln e = ln x

ln (e) =1

4 = ln x