Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5).

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:

[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]

[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]

[tex]J'(x,y) = (1,1) +(1,0)[/tex]

[tex]J'(x,y) = (2,1)[/tex]

[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]

[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]

[tex]K'(x,y) = (1,1) +(2,-2)[/tex]

[tex]K'(x,y) = (3,-1)[/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]

[tex]L'(x,y) = (1,1) + (2,2)[/tex]

[tex]L'(x,y) = (3,3)[/tex]

[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]

[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]

[tex]M'(x,y) = (1,1) +(1,3)[/tex]

[tex]M'(x,y) = (2,4)[/tex]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

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Answer:

100 days

Step-by-step explanation:

You know that you write at a speed of 5 pages every 2 days. In order to write a 250 page novel, you're going to have to to write 250/5 = 50 *2 = 100 days.

Answer:

if you're doing the scale factor of small to big it would be 1/4, but if you're doing from big to small it would be 4

Answer:

a is 0.085 b is 19.6%

Step-by-step explanation:

1% = 0.01 so 8.5 = 0.085

0.20 = 20% so 0.196 = 19.6%

Answer:

7868

Step-by-step explanation:

Answer:

It means 24 X x

Step-by-step explanation:

Answer:

The x next by any number is variable or value of some kind,it's not supposed to be specific because it's algebra.

Hi there!

a. A stratified sample can be used by dividing the tenants into two groups: those who have children and those who do not have children. Then, a Sample Random Sample FROM EACH stratum can be conducted for a total of 16 tenants surveyed.

b. Using a cluster sample in this situation could introduce undercoverage or selection bias if there is a distinction between those on some floors and those on others. For example, tenants on lower floors might be more opposed to a playground  (ex: noise, crowd, etc.) in comparison to those on higher floors.

Answer:

31.35%

Step-by-step explanation:

In the box, there are:

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

= 5

= 16

[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]

For showing it as some percent we'll just multiply the fraction by 100

[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]

Answer:

y=9, x=7

Step-by-step explanation:

2x-y=5 --> equation 1

2x-5y=-31 --> equation 2

change signs of equation 1

-2x+y=-5

solving method

-2x+y=-5                   (cut -2x and 2x because -2x+2x =0)

2x-5y=-31                       (likewise +y-5y and -5-31)

-4y= -36            (since -4 is multiplying on right side it will divide)

y= -36/-4             (cut negative with negative and simplify equation)

y= 9                  

put value of y in equation 1

2x-y=5

2x-9=5

2x= 14

x=14/2

x=7

Answer:

D.

Step-by-step explanation:

Pretend the y-axis is a wall, on the left side it is decreasing and on the right it is increasing, so A. and B. aren't correct. C. and D. are left, x<0 means on the left side of the y-axis because x (any number) is less than 0 and on the left side it is decreasing so C. isn't correct so D. is your answer because x>0 means x is greater than 0 so it's on the left side of the y-axis.

I hope this helps!

Answer:

m = 2/5

Step-by-step explanation:

2x - 5y = 52

-5y = -2x + 52

y = 2/5x - 52/5

The slope of the line with equation 2x−5y=52 is 2/5.

The given equation of line is 2x−5y=52.

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

The given equation 2x−5y=52 can be rewritten as

2x-52=5y

⇒ y = 2x/5-52/5

Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c

So, m=2/5

Therefore, the slope of the line with equation 2x−5y=52 is 2/5.

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Answer:

The radius is 4.7 units.

Step-by-step explanation:

To answer this we need only find the square root of 22.09:  4.7

The radius is 4.7 units.

ang mga gan yan Hindi ko alam Kase may mudule din ako bb

Answer:

y = - 9x + 42

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 9 , then

y = - 9x + c ← is the partial equation

To find c substitute (4, 6 ) into the partial equation

6 = - 36 + c ⇒ c = 6 + 36 = 42

y = - 9x + 42 ← equation of line

Answer:

5

Step-by-step explanation:

[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]

Answer:

i don't knoe if we can do it without the graph

Answer:

(13 + or - (sign) square root(37)) / 6

Step-by-step explanation:

First search up the quadratic formula which is

x = (- b + or - square root(b^2 - 4ac)) / 2a

and to find a, b, and c you need this formula

ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)

Math:

a = 3, b = -13, c = 11

b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.

Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.

(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3

13 + or - square root(37) / 6

Answer in the picture.

Answer:

The dimensions of the carpet are 4√3m by 4√3m.

16m² are not covered by the carpet.

Step-by-step explanation:

The area of an 8m by 8m floor is 64m².

[tex]8*8=64[/tex]

A)

First, 75% of that area is 48m².

[tex]64*0.75=48[/tex]

Now we need to find the dimensions of the square carpet. Because it is a square, the length and width have to be the same.

[tex]x*x=48\\x^2=48\\x=\sqrt{48}[/tex]

There's 2 ways to simplify that further as it is not a perfect square. Either just use a calculator to find the root, or factor it out. I won't show how to factor that here as it's not directly relevant, but I can explain it if you're interested.

The 2 solutions are:

[tex]x=6.9282...\\x=4\sqrt{3}[/tex]

The dimensions of the carpet are 4√3m by 4√3m.

B)

Now to find the area that is not covered, just subtract the area that is covered from the total.

[tex]64-48=16[/tex]

16m² are not covered by the carpet.

Answer:

on a 6-sided dice, 1/6

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

substitute -b for -12 and add 7

Answer:

D

Step-by-step explanation:

p(t)=2t+5

p(10)=2(10)+5

p(10)=20+5

p(10)=25

please give me a brainliest since this took a lot of thinking

Answer:

1/20 E

Step-by-step explanation:

11.74 - 11.69 = .05

.05 =1/20

Answer:

E. 1/ 20 seconds

Step-by-step explanation:

The distance covered by both the athletes is the same.

So, calculating the difference between their times:

That means, Luis completed the race before Bryan, and the difference between their times is:

= 11.74 - 11.69

= 0.05 seconds

To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )

[tex]=0.05 \times \frac{100}{100}[/tex]

[tex]= \frac{5}{100}[/tex]

5's a common factor in both numerator and denominator hence, it cancels out

[tex]=\frac{1}{20}[/tex]

Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.

[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]

[tex]=\frac{6-8i+9i+12}{25} [/tex]

[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]

[tex]=\frac{18+i}{25} [/tex]

[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]

_______

Hope it helps :) ⚜

Answer:

114.0g/538.5cm^3=0.2117 glcm^3

Step-by-step explanation:

Answer:

I believe the answer is D

Step-by-step explanation:

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.

X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)

The rate of change is 24 / 3 = 8.

The answer is 8 dollars per hour.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.

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.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.

At the end of the night, the driver calculates his profits and makes a graph to analyze the data.

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 = 78 ,

at 1 = 54

the change is 78 - 54 = 24.                                        

X is the time the change from 4 to 1 = 3

The change is ( 4 - 1 = 3)

The rate of change = 24 / 3 = 8.

Therefore, The answer is 8 dollars per hour.

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Answer:

-4/3x-7=1

Step-by-step explanation:

just combine like terms