Mathematics College

find ST if S(-3, 10) and T(-2, 3)

Answers

Answer 1

We have the following points and their coordinates:

$\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}$

We must compute the distance ST between them.

The distance ST between the two points is given by:

$ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},$

where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.

Replacing the coordinates of the points in the formula above, we find that:

$\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}$

Answer: ST = √50

Related Questions

Dividing fractions word problems, please help I need it........

$Dividing fractions word problems, please help I need it........$

Answers

Answer:

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

hello answer is in the screen shot below good luck!

$Dividing fractions word problems, please help I need it........$

Find the orthocenter of a triangle with vertices (−8, 11), (−3, 11), and (−3, −12).
The orthocenter of triangle is at ( , ).

Answers

Answer:

( -3, 11)

Step-by-step explanation:

find the equation of the line between points ( -8, 11) and (-3, 11)

y= mx +b , where m is slope snd b is y-intercept

m = (y2-y1)/ (x2-x1) = 11-11/ -8- -3 = 0/ -5 = 0 ( if slope is o is a horizontal line)

y = 0x + b and pick a point to find b

11 = 0*-8 + b so b= 11

y = 11 is the equation of the line between points ( -8, 11) and (-3, 11) and the equation of its perpendicular line is x=-3

the equation of the line between points (-3, 11) and ( -3, -12) is x= -3 and the perpendicular to it is y= 11

so we have a right triangle so the ortho center is at (-3, 11) where the vertex of the 90 degree angle is

HELP PLEASE IM GIVING BRAINLIEST!!

Answers

Answer:

the answer to the problem is b

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

the first two are true and the last two are false

Solve for x. 6+X-7= 16

Answers

Answer:

X=17

Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.

Answer:

x=17

Step-by-step explanation:

Groups like terms

x+6-7=16

Subtract the numbers: 6-7= -1

x-1=16

Add 1 both sides

x-1+1=16+1

Simplify

x=17

The temperature t is at least 75

Answers

Answer:

t ≥ 75

Step-by-step explanation:

"at least 75" means 75 or higher.

The temperature is equal to 75 or greater than 75.

t ≥ 75

Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).

I need help with this please help me

Answers

Answer:

Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

Composition of Transformations

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

Translation

The numbers in the translation vector are added to the coordinates:

(x, y) ⇒ (x+2, y+0)

Reflection

Reflection over the y-axis changes the sign of the x-coordinate:

(x, y) ⇒ (-x, y)

Application

Then the composition of transformations is ...

(x, y) ⇒ (-(x+2), y)

Q(1, 5) ⇒ Q'(-3, 5)

R(3, -1) ⇒ R'(-5, -1)

S(0, 0) ⇒ S'(-2, 0)

T(-2, 3) ⇒ T'(0, 3)

ecosystem biodiversity is often used a measure of its overall

a shape
b size
c health
d income

Answers

Answer:

c... health

Step-by-step explanation:

Answer:

ecosystem biodiversity is often used a measure of its overall health.

Step-by-step explanation:

I don’t understand these questions

Answers

Order of fractions from smallest to largest:

4/15, 3/10, 11/15, 17/20, 9/101/4, 1/3, 2/5, 2/3, 3/4 4/3, 7/5, 5/3, 7/4, 9/4 13/10, 13/6, 11/5, 25/6, 21/5

How to order fractions3/10, 4/15, 9/10, 11/15, 17/20

If sorted we first equate the denominator to 60.

18/60, 16/60, 54/60, 44/60, 51/60

So if sorted from smallest to largest, the order becomes:

4/15, 3/10, 11/15, 17/20, 9/10

1/4, 1/3, 2/3, 3/4, 2/5

If sorted we first equate the denominator to 60. it becomes:

15/60, 20/60, 40/60, 45/60, 24/60

So if sorted from smallest to largest, the order becomes:

1/4, 1/3, 2/5, 2/3, 3/4

9/4, 4/3, 5/3, 7/4, 7/5

If sorted we first equate the denominator to 60. it becomes:

135/60, 80/60, 100/60, 105/60, 84/60

So if sorted from smallest to largest, the order becomes:

4/3, 7/5, 5/3, 7/4, 9/4

21/5, 13/6, 25/6, 11/5, 13/10

If sorted we first equate the denominator to 30. it becomes:

126/30, 65/30, 125/30, 66/30, 39/30

So if sorted from smallest to largest, the order becomes:

13/10, 13/6, 11/5, 25/6, 21/5

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You select a family with four children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is {FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, FMMM, MFMM, MMFM, MMMF, MMMM}. Find the probability of selecting a family with exactly three female children.
The probability of having exactly three female children is nothing.

Answers

No and the others who are in the same name as brainliest and the others

Answer:

Step-by-step explanation:

Evaluate 24 + |-27-y| (-7)-x

Answers

Answer:

kr3kf,,xdk,xe3,ke,kex,ks,l,sl,r4kf

Step-by-step explanation:

nyjogtqGTKJMIYTRFEWDGTYU87R4EW2ERT5YUIO0IUJHYGFREDRGHJKL.BBRTBTRN

Amadi is three times as old as Chima. The sum of their ages is 24

Answers

Answer:

Amadi: 20 years old

Chima : 4 years old

how much is an 18% tip on a 14$ lunch?

Answers

About 4.5 which is less than half

Find the distance between the points.
(−3,− 8), (6, – 8)
The distance is

Answers

To calculate the distance between two points:

We apply the following formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

(x₁,y₁) = -3, -8(x₂,y₂) = 6, -8

We substitute data and solve:

$\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }$

The distance between the points (−3,− 8), (6, – 8) is 9.

Use Pythagoras' theorem to calculate the length of FG. Give your answer in centimetres (cm) to 1 d.p. 8 cm H 13 cm G

Answers

The length of FG is approximately 15.3 cm.

To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.

According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

$FG^2 = GH^2 + FH^2$

Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:

$x^2 = 8^2 + 13^2$

$x^2 = 64 + 169$

$x^2$ = 233

To find x, we take the square root of both sides:

x = √233 ≈ 15.26 cm (rounded to 1 decimal place)

Therefore, the length of FG is approximately 15.3 cm.

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High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country.

Their choices were as follows:
Grades 9–10: Rap 40; Rock: 25; Country: 60
Grades 11–12: Rap: 55; Rock: 30; Country: 40

Which of the following is a correct two-way relative frequency table for the data?

Rap Rock Country Total
Grades 9–10 16% 10% 24% 50%
Grades 11–12 22% 12% 16% 50%
Total 38% 22% 40% 100%

Rap Rock Country Total
Grades 9–10 22% 12% 16% 50%
Grades 11–12 16% 10% 24% 50%
Total 38% 22% 40% 100%

Rap Rock Country Total
Grades 9–10 40 25 60 125
Grades 11–12 55 30 40 125
Total 95 55 100 250

Rap Rock Country Total
Grades 9–10 55 30 40 125
Grades 11–12 40 25 60 125
Total 95 55 100 250
Points earned on this question: 0

Answers

The correct option is C for the frequency table.

What is a frequency table?

A table that depicts the frequency of occurrence of a given characteristic according to a specified set of class intervals.

The correct two-way frequency table for the date will look like this:

RAP ROCK COUNTRY TOTAL

Grades 9-10 40 30 55 125

Grades 11-12 60 25 35 120

TOTAL 100 55 90 245

The sum of the row total is equal to the sum of the column total

125 + 120 = 100 + 55 + 90

245 = 245

The correct option for the frequency table is C.

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What is the slope of the line that passes through the points (-20, 18) and (30, 14)?
-25/2
-5/2
-2/5
-2/25

Answers

Answer:

The slope of the line that passes through the points (-20,18) and (30,14) is

m (slope) = -2/25

Step-by-step explanation:

it’s -2/25 because u do x1-y1 and x2-y2 and subtract 14-18=-4 and 30- -20 = 50 and -4/50 then that converts to -2/25 lemme kno if it’s right

Which of the following is(are) the solution(s) to 9|x-1|- -45?
OA. x=4,-6
OB. No Solution
OC. All values are solutions
OD. x=-4,6

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Hope this helps

Sorry if I'm wrong

The function f(x) = 75x + 100 models the cost of renting an event tent, where x is the number of hours and f(x) is the total cost. What is a reasonable domain for the function?

A. x < 0
B. x > 0
C. all real numbers
D. cannot be determined

Answers

The reasonable domain for the function is (b) x > 0

What is a reasonable domain for the function?

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

Answers

Answer:

8 significant figures should be provided.

Step-by-step explanation:

I believe I am correct, but check your answer anyways.

please help me solve this problem

Answers

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

How to determine vectors

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Reginald cement truck can carry up to 2200 pounds of cargo. He needs to haul 50 bags of cement that way 50 pounds each. Right and solve an inequality to determine whether Reginald will be able to carry all of the cement in one truck.

Answers

Answer:

Do you go to SCMS? O recognize your name.

Step-by-step explanation:

Find the limit using l'Hôpital's Rule. Enter an exact numeric value. lim x→0 x tan(4x) =

(THE SOLUTION SHOULD BE DIVIDED INTO 2 PARTS, (1st PART )SUMMARY 2-3 LINES ONLY, (2nd PART) EXPLANATION CONTAINING 2-3 PARAGRAPHS.

Answers

Hey, are you sure the question should be x/tan(4x) since

the question you given does not need the LHoptial Rule to solve.

5500 trees were planted in a forest on 1st October 2018.
Only 5060 of these trees were still alive on 1st October 2019.

It is assumed that the number of trees still alive is given by N = ar^t
where N is the number of trees still alive t years after 1" October 2018.

a) Write down the value of a.

b) Work out the value of r.

c) Work out the predicted percentage decrease in trees still alive between
1st October 2018 and 1st October 2030.

Answers

Answer:

a) a = 5500

b) r = 0.92

c) 63.2%

Step-by-step explanation:

You want various values related to the exponential decrease in the number of living trees from 5500 to 5060 between 2018 and 2019, and you want the percentage decrease to 2030 at the same rate.

a) Exponential function

The function ...

N = a·r^t

has an initial value of 'a' when t=0. The problem statement tells you that is 5500.

a = 5500

b) Growth rate

The value of r is the ratio of the values of N for t=1 and t=0:

r = (a·r^1)/(a·r^0) = 5060/5500 = 23/25

r = 0.92

c) Decrease

The fraction still alive after 12 years is predicted to be ...

0.92^12 ≈ 0.3677

So, the percentage decrease is ...

(1 -0.3677) × 100% ≈ 63.2%

The predicted percentage decrease in living trees is 63.2% by 2030.

In a poll, a random sample of 2163 adults (aged 18 and over) was asked, "When you see an ad emphasizing that a product is made in your country, are you more likely to buy it, less likely to buy it, ar neither more nor less likely to
buy it? The results of the survey are presented in the side by side graph. Complete parts (a) through (d) below
Leihood to Buy When Made in Home Country
More
Les likely
| Neither
02
(a) What proportion of 18 to 34 year-old respondents are more likely to buy when made in their country? What proportion of 35 to 44 year-old respondents are more likely to buy when made in their country?

Answers

Answer:

Step-by-step explanation:

(a) What proportion of 18- to 34-year-old respondents are more likely to buy when made in their country? What proportion of 35- to 44-year-old respondents are more likely to buy when made in their country?

The proportion of 18- to 34-year-old respondents is

0.66

The proportion of 35- to 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases

Goodlife charges its members $30 per month for a gym membership. They currently have 75 clients.
Research has shown that for every $2 increase in their membership price they will lose 3 clients. If they want to maximize their revenue, how much should Goodlife charge per membership? What will their maximized revenue be?

Answers

They should charge $40 per membership, and they will make a maximum revenue of $2400

PLEASE HELP Mary has an essay due in 4 days. She estimates that she needs to spend 6 hours working on her essay. She wants to split up the work and work the same amount of time each day. Mary goes to bed at 10:00 p.m. and plans to work on her essay right before she goes to sleep. What time should Mary start working on her essay each night so she can complete her essay on time?
9:00 p.m.
8:00 p.m.
9:30 p.m.
8:30 p.m.

Answers

Answer:

8:30

Step-by-step explanation:

Because 6 ÷ 4 is 1.5. also know as 1.5hrs before bedtime.

Answer: I think the answer is 8:30

Step-by-step explanation:

6÷4= 1.5

8:30 + 1:30 = 10:00

Answer fast please and thank you!!

Answers

Answer:

Option a

Step-by-step explanation:

Using distributive property:

y(x+7)=y•x+y•7

=yx+7y

Answer:

Step-by-step explanation:

Quaddlateral CART is dilated with the center at the origin and a scale
factor of 6/5
Describe Quaddlateral CART and Quadrilateral C’A’R’T’by completing the
table below with the BEST answer

Answers

Answer:

Step-by-step explanation:

Rule for the dilation of a point by a scale factor 'k' about the origin is,

(x, y) → (kx, ky)

If the scale factor for the dilation is $k=\frac{6}{5}$,

Rule for the dilation,

A(x, y) → A'$(\frac{6}{5}x,\frac{6}{5}y)$

If the coordinates of point A' (Image) is given and we have to find the coordinates of point A (Preimage),

Rule for the dilation,

A'(x, y) → $A(\frac{5}{6}x,\frac{5}{6}y)$

Quadrilateral CART Quadrilateral C'A'R'T'

(x, y) $(\frac{6}{5}x,\frac{6}{5}y)$

C(-5, 15) C'(-6, 18)

A(10, 5) A'(12, 6)

R(-20, -10) R'(-24, -12)

T(-25, 0) T'(-30, 0)

Use the distributive property

Please help me to solve this question

Answers

Answer:

Step-by-step explanation:

Its obvi .. its 5 !!

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