Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 3 with A(6, -10) and B(9, -1).

Answers

Answer 1

Answer:

Step-by-step explanation:

Use the formulas that allow us to find the point that divides the segment into a ratio which is

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where a is 1 (comes from the ratio) and b is 3 (comes from the ratio as well). Filling in:

[tex]x=\frac{3(9)+1(6)}{1+3}=\frac{27+6}{4}=\frac{33}{4}[/tex] and then y:

[tex]y=\frac{3(-1)+1(-10)}{1+3}=\frac{-3-10}{4}=-\frac{13}{4}[/tex] so the coordinates in question are

[tex](\frac{33}{4},-\frac{13}{4})[/tex]

Answer 2

Answer:

Step-by-step explanation:

the answer would be (7,-7)


Related Questions

Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3.

Answers

Answer:

9x - 9

Step-by-step explanation:

4(2x + x - 3) - 3x + 3

Simplify the expression, combine like terms in the parenthesis,

4(3x - 3) - 3x + 3

Distribute, multiply every term inside the parenthesis by the number outside of it;

(4)(3x) + (4)(-3) - 3x + 3

Simplify,

12x - 12 - 3x + 3

Combine like terms,

12x - 12 - 3x + 3

9x - 12 + 3

9x - 9

What is the scale of the y-axis in this coordinate graph?


A. 1 tick mark represents 1 unit
B. 1 tick mark represents 8 units
C. 1 tick mark represents 12 units
D. 1 tick mark represents 16 units

Answers

Answer:

Obviously B

Step-by-step explanation:

if you want to make some money and do my acellus academy math and science subject in 1 day ill pay $25 dollars

Answers

Answer:

no tHank you hope someone can help

Step-by-step explanation:

Given triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 in, what is the scale factor of the dilation from triangle MNP to QRP? "

Answers

Answer:

Scale Factor 3

Step-by-step explanation:

According to the Question,

Given That, triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 .

Therefore, the scale factor of the dilation from triangle MNP to QRP is

Scale Factor = QR/MN ⇒ 48/16 ⇒ Scale Factor 3

How many 1/4 cup servings are there in 2 cups of raisins?

Answers

4444444444444444444444444

4 is the answer

What is the system of equations shown in the graph

Answers

Answer: D
If you look at the graph the slopes and y intercepts match up

Answer:

D)

y = - x + 1

y = -1/4 +2

Step-by-step explanation:

The equation of a linear graph: y = mx + b

The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.

The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2).  So the equation would be y = - 1/4x + 2.

John wants to study whether a larger number of laptops available to students at his school lead to higher grades. Choose the independent and dependent variable. Group of answer choices Independent variable: Grades; Dependent variable: Number of laptops Independent variable: Number of laptops; Dependent variable: Grades Independent variable: John; Dependent variable: Grades Independent variable: Grades; Dependent variable: John

Answers

Answer:

Independent variable: Number of laptops

Dependent variable: Grades

Step-by-step explanation:

According to the Question,

Given That, John wants to study whether a larger number of laptops available to students at his school lead to higher grades.The independent variable is the cause. Its value is independent of other variables in your study. Independent variable: Number of laptops The dependent variable is the effect. Its value depends on changes in the independent variable. Dependent variable: Grades

In general, what can you say about the difference when you subtract a larger integer from a smaller integer?

Answers

Answer:

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value

Express tan J as a fraction in simplest terms

Answers

Answer:

3/4

Step-by-step explanation:

tangent is opp/ad

so that is 15/20, or 3/4

help asap please ----------------

Answers

Answer:

-1 Not in domain

0 In domain

1 In domain

Step-by-step explanation:

The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:

[tex]x\geq0[/tex]

Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;

-1 => less than zero; Not in domain

0 => equal to zero; In domain

1  => greater than zero: In domain

A picture which measures 30cm by 40cm is surrounded by a frame which is 11/2 wide. find the area of the frame ​

Answers

Area of the frame = 219 cm squared
Hope my diagram helps (I should’ve used a ruler )

Activity 2. pls just give me the formula or answer this, it really help me​

Answers

All questions are using SOH from SOH CAH TOA. So the equations you’re using is Sin(degree°) = x/number given on side
(EX: Q1 - Sin(56) = x/17 ; then to find X just multiply 17 on both sides so you can have X by itself, then you should have X = Sin(56) • 17) HOPE THIS HELPS!!

Answer:

X= sin (56) . 17) hope this helps

Marlena is one-sixth the age of her mom. If Marlena is 5 years old, how old is her mom?

Answers

Answer:

30 years old

Step-by-step explanation:

If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.

Answer:

30 years

Step-by-step explanation:

Let,

Age of her mom be = x

Age of Marlena

[tex] = \frac{1}{6} x[/tex]

We know that,

Age of Marlena is 5 years

Therefore,

By the problem,

[tex] = > \frac{1}{6} x = 5[/tex]

=> x = 5 × 6

=> x = 30

Hence,

Age of her mother is 30 years (Ans)

what is the inverse function f f(x)=radical x +7

Answers

Step-by-step explanation:

by switching the places of x and y ans solving for y

Can someone help me with this math homework please!

Answers

Step-by-step explanation:

The second equation

[tex]2.4x = 1.2x + 15[/tex]

is the answer for the 1st picture.

2nd, solve for x.

[tex]1.2x = 15[/tex]

[tex]x = 12.5[/tex]

You cant create half a page so let lower it down to 12.

12 is the answer for the second answer.

. Evaluate the function rule for the given value.
y = 4.2xfor x = -6

Answers

Answer:

y= 4 x 2(6)

y= 4 x -12

y= -48

Step-by-step explanation:

y= 4 x 2(6)

y= 4 x -12

y= -48

Pa-follow po

Thank you

Please help it’s needed

Answers

very easy    

[tex]\displaystyle\ (f-g)(x)=f(x)-g(x)=4x^2-5x-3x^2-6x+4=\boxed{x^2-11x+4}[/tex]

[tex]\\ \sf\longmapsto f(x)=4x^2-5x[/tex]

[tex]\\ \sf\longmapsto g(x)=3x^2+6x-4[/tex]

Now

[tex]\\ \sf\longmapsto (f-g)(x)[/tex]

[tex]\\ \sf\longmapsto f(x)-g(x)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-(3x^2+6x-4)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-3x^2-6x+4[/tex]

[tex]\\ \sf\longmapsto x^2-11x+4[/tex]

If PN=14, NO=20, PO=16, QR=55, and SR=44, find the perimeter of ΔQRS. Round your answer to the nearest tenth if necessary

Answers

Answer:

The perimeter of QRS is 137.5

Step-by-step explanation:

From the given interval angles, we can see that the two triangles are congruent

so it is expected that the ratios of their corresponding sides are equal

this is because; 83 + 53 + 44 = 180

Now, let us work with the side facing the angle marked 53 in both triangles

For the smaller, we have the measure as 16

for the bigger, we have the measure as 44

So the scale factor here is 44/16 = 11/4 = 2.75

We have to multiply the measure of the sides of the smaller triangle by 2.75 to get that of the bigger triangle

in similar vein, we have to multiply the perimeter we have in the smaller triangle by 2.75 to get that of the bigger triangle

The perimeter of the smaller would be the sum of the side lengths

we have this as;

14 + 20 + 16 = 50

So the perimeter of the bigger triangle would be;

2.75 * 50 = 137.5

What is the reason for statement 3 in this proof?

Answers

Answer:

A. Definition of angle bisector

Step-by-step explanation:

Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;

m∠ABD = m∠CBD

The correct option is option A. Definition of angle bisector

Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;

AD = CD and BD = BD

We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency

simplify 3[(15-3)^2 + 4]

Answers

Answer:

444

Step-by-step explanation:

3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 15 - 3 )^2 + 4 ]

= 3 [ ( 12 )^2 + 4 ]

= 3 [ 144 + 4 ]

= 3 [ 148 ]

= 444

Step-by-step explanation:

3(15-3)²+4

3(12)²+4

3×144+4

432+4

436 Answer

What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum

Answers

Answer:

[tex]Minimum = (5,7)[/tex]

No maximum

Step-by-step explanation:

Given

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Solving (a): The minimum

The minimum is when the absolute parameter gives 0

i.e.

[tex]0.9|-(x - 5)| =0[/tex]

Divide both sides by 0.9

[tex]|-(x - 5)| =0[/tex]

Open bracket

[tex]|-x + 5| =0[/tex]

Remove absolute sign

[tex]-x + 5 =0[/tex]

Collect like terms

[tex]x = 5[/tex]

Then the y value is:

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Recall that: [tex]0.9|-(x - 5)| =0[/tex]

So, we have:

[tex]f(x) = 0 + 7[/tex]

[tex]f(x) = 7[/tex]

Hence, the minimum is at: [tex](5,7)[/tex]

Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.

Hence. the function has no maximum; i.e.

[tex]Maximum = (\infty,\infty)[/tex]

The prime factorization of K is: K = 3x5x7. List all the composite factors of K.

Answers

Answer:

15, 21, 35, 105

Step-by-step explanation:

A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.

So, if we multiply 3x5x7=105  

All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are

15, 21, 35, 105

The list all the composite factors of K : 15, 21, 35, 105

What is prime integer?

"It is an integer that has only two different factors 1 and that integer itself."

What is prime factorization of a number?

"It is a method to find the prime factors of a given number."

What is composite integer?

"It is an integer that has more than two different factors. "

For given question,

The prime factorization of K is:

K = 3 × 5 × 7

This means the number K is, 3 × 5 × 7 = 105

The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.

We need to list all the composite factors of K.

From above factors of 105 we can observe that,

15 has factors 1, 3, 5, 15;

21 has factors 1, 3, 7, 21;

35 has factors 1, 5, 7, 35;

and 105 has more than two factors factors as mentioned above.

This means, the numbers 15, 21, 35 and 105 are composite numbers.

Therefore, the list all the composite factors of K : 15, 21, 35, 105

Learn more about the prime factorization of number here:

https://brainly.com/question/22692933

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The scale on a map is 1cm = 250 km. What would be the distance on the map, if the actual distance between the two cities is 1,000km? *​

Answers

Answer:

so if its actually 1000 and that map thing is 250

250 goes into 1000 4 times so

4cm

Hope This Helps!!!

help me pls i don't ge this

Answers

Answer:

9. The area of rectangle S is four times bigger than rectangle R

10. (1, 3)

Step-by-step explanation:

To find the solution of the two linear equations:

y=x+2

y=-2x+5

x+2=y=-2x+5

3x=3

x=1

y=1+2

y=3

(1,3)

Please hurry I will mark you brainliest

Answers

Answer:

1 and 3

i hope this helps

PLEASE HELP!!! What is the volume of the solid? Let π=3.14.





A. 5,425.92 m3

B. 2,1714.7 m3

C. 8,131.09 m3

D. 3,214.54 m3

Answers

Answer:

A. 5,425.92 m3

Step-by-step explanation:

Radius = 24m

Length = 12m

Volume = Area * Length

Area = π * (radius ^2)

Radius = Diameter / 2

Radius = 24m / 2 = 12m

Area = π * (12m^2)

Area = 3.14 * 144  = 452.16m

Volume = 452.16m * 12m

Volume = 5425.92m3

The equation px²+px+3q=1+2x has roots 1/p and q


(a) Find the values of p and of q​

Answers

Answer:

p = 2/3

q = 1/2

Step-by-step explanation:

The given equation is ,

[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]

We can write it as ,

[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]

Rearrange the terms ,

[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]

This can be written as ,

[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]

Now wrt Standard form of a quadratic equation ,

[tex]\bf \implies ax^2+bx + c = 0 [/tex]

we have ,

a = p b = p - 2 c = 3q - 1

We know that product of zeroes :-

[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]

Sum of roots :-

[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]

Determine the length of AC.
16.7 units
18.9 units
3.4 units
19.4 units

Answers

Answer:

16.7 units

Step-by-step explanation:

To get AC, we can use the sine rule here

BC/sine 86 = AC/sin 68

18/sine 86 = AC/sine 68

AC = (18 * sine 68)/sine 86

AC =16.73 units

Which explains whether or not her solutions are correct? (Algebra ll) *URGENT*

Answers

Answer:

I believe its A

Step-by-step explanation:

Substitue vales into the equation and check! Lmk if it was ccorrect!

Last week Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of total of 997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone?

Answers

Answer:

52/997

Step-by-step explanation:

YALL THIS IS CORRECT I PROMISE.

KHAN ACADEMY

The required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.


Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of a total of 997 ice cream cones.  The probability that the next ice cream cone sold is a chocolate chip ice cream cone is to determine.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.


Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones = 52
total of 997 ice cream cones = 997
The probability of the next ice cream cone sold being a chocolate chip ice cream cone = 52 / 997
         = 0.1

Thus, the required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.

Learn more about probability here:

brainly.com/question/14290572

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