The point P(3,4) is dilated by a scale factor of 5 and the center of dilation is the origin. What are the coordinates of P'?
P (____,___)

Answer:

500/(7+3)=50; 3*50=150, 7*50=350. 150:350=3:7

Step-by-step explanation:

o Ayan sinolve kayan geh pa follow po

220 is divided in the ratio 3:8 as 60 and 160 respectively.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The given ratio is 3:8 and the number is 220.

Here, 3+8=11

Now, 3/11 ×220

= 3×20

= 60

8/11 ×220

= 8×20

= 160

Therefore, 220 is divided in the ratio 3:8 as 60 and 160 respectively.

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Answer:

The two supplementary angles are 10 and 170 degrees.

Step-by-step explanation:

Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 160 degrees more than the other. We can construct the following equation. x + ( x + 160 ) = 180 x

represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180    2 x = 20 x = 10

Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160 degrees larger than the other one.

10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.

Answer:

Given :principle =Rs. 1200

rate of interest =9%

time =3yrs

we know that simple interest =PTR /100

=1200*9*3/100

=Rs. 324

Amount of the farmer will receive at the end of the 3 yrs =principle + interest

=1200+324=1524/-

Answer:

8

Step-by-step explanation:

Answer:

the question is not correct. please rewrite the question.

Answer:

the theorum used here is sas one

Answer:

si yo lo sé tú también cierto

Answer:

Step-by-step explanation:

Temperatures given:

Descending order of the numbers is:

Correct choice is E

Answer: [tex]a_{n}[/tex]=5*[tex]6^{n-1}[/tex]

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Given equations is

x+2y=8,5x+10y=c

The equations a

1

x+b

1

y=c

1

and a

2

x+b

2

y=c

2

will have uique solutions if

a

2

a

1



=

b

2

b

1



=

c

2

c

1

but from equations,

a

2

a

1

=

5

1

,

b

2

b

1

=

10

2

,

c

2

c

1

=

c

8

∴

a

2

a

1

=

b

2

b

1

The given equations does not have unique solution, so the given statement is false, The correct answer is 0

Answer:

The answer is 1

Step-by-step explanation:

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

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Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/x miles = 23 minutes/4 miles

To solve for x, we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

Answer:

14 dimes and 17 quarters

Step-by-step explanation:

d and q are the number of dimes and quarters, respectively.

"31 coins, all of which are dimes and quarters."

d+q = 31

d = 31-q

"the value of the coins is $5.65"

0.10d + 0.25q = 5.65

substitution

0.10(31-q) + 0.25q = 5.65

3.10-0.10q + 0.25q = 5.65

0.15q = 2.55

q = 17

d = 31-q = 14

14 dimes and 17 quarters

Answer:

59,09

.........................................................

Answer:

Divide each term by −2 and simplify.

Inequality Form:

x>−5

Interval Notation:

(−5,∞)

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: [tex]x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}[/tex].

Let be [tex]r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}[/tex] and [tex]r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}[/tex] roots of the quadratic function. By Algebra we know that:

[tex]y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}[/tex] (1)

Then, the quadratic polynomial is:

[tex]y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}[/tex]

[tex]y = 81\cdot x^{2}-36\cdot x -19[/tex]

The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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Answer:

should be B

Step-by-step explanation:

however tax rate is different in different states sooo

Answer:

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Step-by-step explanation:

Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:

[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)

[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)

[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)

Where:

[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]

[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]

[tex]\overrightarrow{AB} = (7,-8)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are, respectively:

[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]

[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]

[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]

[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]

[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]

The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].

Answer:

2/3x

Step-by-step explanation:

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

Answer:

13.5 ounces

Step-by-step explanation:

Answer:

140°

Step-by-step explanation:

∠ABC is an inscribed angle and its measure is half the measure of the intercepted arc, which is arc AC

Therefore the measure of arc AC is 2(70) = 140°

∠AOC is a central angle and its measure is equal to its intercepted arc, which is arc AC.

So, m∠AOC = 140°

The angle AOC from the given circle is 140°. Therefore, option C is the correct answer.

The angle subtended by an arc at the center is twice the angle subtended at the circumference. More simply, the angle at the center is double the angle at the circumference.

From the given circle, angle ABC is 70°.

Here, 2∠ABC=∠AOC

∠AOC=2×70°

∠AOC=140°

Therefore, option C is the correct answer.

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y = 4/7x - 3

hope this helps

Answer:4/7-3

Step-by-step explanation:

Yep

Answer: i dont know the answer bc i dont have the graph.

Step-by-step explanation:

but if you follow the line they should give you to in between

the two points you should find the answer. i hope this helped some what.

Answer:

33493.33

Step-by-step explanation: