Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answers
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
Related Questions
On a hot summer day, Leo and Stefano decided to buy some refreshments at the Fruit and Smoothies store. Fruit kabobs cost $1.75 each and smoothies cost $2.50 each. Leo ordered two fruit kabobs and one smoothie. How much did he spend?
Answers
Answer:
$6.00
Step-by-step explanation:
2(1.75)+2.50=6
I am being timed. Hurry please but take your time.
An unknown fractors is between 0 and 1. Which is true about the equivalent percent and decimal?
A. O The percent and decimal are betwern 0 and 1.
B. O The percent and decimal are greater than 1 and less than 100.
C. O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
D. O The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Answers
Answer: D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
HELPPPPPPpppp Pleaseee
Answers
Answer:
Step-by-step explanation:
1 min= 20%+5%=25%
Therefore 2 min = 25%+5%=30%
3 min=30%+5%=35%
4min =40% therefore your coodinates will be like(1,25),(2,30),(3,35),(4,40) etc
Which of the following expressions is equal to 5 - 2(x + 2)?
0 -2x+1
O 3x+6
0 -2x+2
O 3x+2
Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ - 2x + 1}}}}[/tex]
♨ Question :Which of the following expressions is equal to 5 - 2 ( x + 2 ) ?♨ Available options :- 2x + 1 ✔ 3x + 6- 2x + 23x + 2✎ Step - by - step explanation[tex] \bold{ \text{5 - 2(x + 2)}}[/tex]Distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{5 - 2x - 4}}[/tex]
Now , subtract 4 from 5
[tex] \dashrightarrow{ \boxed{\sf{ - 2x + 1}}}[/tex]
Therefore , Option A is the best choice.
Hope I helped!
Have a wonderful time! ツ
~TheAnimeGirl
Olivia ate 1/6 of the pepperoni pizza and 1/3 of the vegetarian pizza and 1/6 of the cheese pizza how much of the pizza she eat
Answers
Answer: She ate 4/6 of the pizza.
Use an element argument to prove the statement. (Assume that all sets are subsets of a universal set U.)
Statement: For all sets A, B, and C, (A − B) ∩ (C − B) = (A ∩ C) − B.
Answers
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
Solve for x PLS HELP NOW
Answers
Answer:
[tex]x=70[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]0.35(x-10)=\frac{2}{3} x \cdot 0.45[/tex]Distribute 0.35: [tex]0.35x - 3.5=\frac{2}{3} x \cdot 0.45[/tex]Multiply: [tex]0.35x - 3.5=0.3x[/tex]Isolate x term: [tex]-3.5=-0.05x[/tex]Isolate x: [tex]70=x[/tex]Rewrite: [tex]x=70[/tex]Step 3: Check
Plug in x to verify it's a solution.
Substitute: [tex]\frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}[/tex]Multiply: [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{70-10}[/tex]Subtract: [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{60}[/tex]Evaluate: [tex]0.0075=0.0075[/tex]Answer:
70
Step-by-step explanation:
Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.
what is the weight of 15 gallons of water?
Answers
Answer:
A gallon of water is approximately 8.3 pounds. 8.3*15=124.5
So the weight of 15 gallons of water is 124.5 pounds.
Answer:
A gallon of water weighs approx. 8.34 lbs. so 15 gallons would be, let me see, 18.34 equals, 125.10 lbs. Therefore the weight of 15 gallons of water would be 125.20 lbs
Step-by-step explanation:
please help me solve this problem
Answers
Answer:
C (10×4) ÷ 2
Step-by-step explanation:
C is the answer because if you do an equation,
10 multiplied by 4 (10×4)
Then, she wants to share the dolls equally for her brother
This means that you have to multi[ly 4 by 10, so you get 40. If she shares the dolls equally with her brother, she will give him 20 and keep 20 for herself.
C provides the correct answer with 20. 40/2 is 20
please answer this quickly
Answers
Answer:
C
Step-by-step explanation:
she adds to her collection 6 +4 = 10. then triples that
Answer:
well by using pemdas you would solve whats in the parenthisis so 6+4 = 10 x 3 = 30
YOUR ANSWER IS 30
4. A food delivery service charges a $100 membership fee to join, and also charges $5 for each delivery. Find the linear equation that models the cost based on number of deliveries. At the total cost of $200, how many deliveries will have been made?
Answers
Answer:
200-100=5(x)
Step-by-step explanation:
If the total cost is 200 dollars and we spent 100 on the fee, we have 100 dolars for deliveries.
If each delivery is 5 dollars, then the amount of money spent on deliveries is x(unknown) dollars then we have 200 - 100 = 5 x <--unknown
total money^ ^fee ^each deliv
Jennilsa is making ice cream. The recipe requires 1/2 cup of milk and 1 1/2 teaspoons of sugar.
Jennilsa wants to make the recipe using 1 cup of milk. To maintain the ratio, how much sugar is
required when 1 cup of milk is used?
Answers
Answer:
Three cups of sugar
Step-by-step explanation:
just times 1 1/2 by 2
Answer:
3
Step-by-step explanation:
Chloe plz give answer :(
Answers
Answer:
im lost, hat's ur question?
Step-by-step explanation:
Answer:
:(
Step-by-step explanation:
Wich calculation will ALWAYS have a result greater than 1
Answers
Step-by-step explanation:
number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1
The width of a rectangle is 2 and the length is 2.what is the area of the rectangle
Answers
Answer:
2x2+ 4 The area is 4 in
Step-by-step explanation:
need help with this
Answers
Answer:
on which subject.
Step-by-step explanation:
Help me and I’ll give u BRAINLEST!!
Answers
what is the value of x in 9/5 x = 2/3
Answers
Answer:
x = 10/27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
9/5x = 2/3
Step 2: Solve for x
Divide both sides by 9/5: x = 10/27Step 3: Check
Plug in x to verify it's a solution.
Substitute: 9/5(10/27) = 2/3Multiply: 90/135 = 2/3Simplify: 2/3 = 2/3And we have our final answer!
Answer:
x = 10/27
Step-by-step explanation:
2/3 ÷ 9/5
2/3 x 5/9 = 10/27
find the circumference of the circle iready r=9
Answers
Answer:
56.52
Step-by-step explanation:
Here, r = 9 is given
Then, The Formula of Circumference of Cirlcle
= 2πr
= 2 × 3.14 × 9 = 56.52
Thus, The Circumference of Cirlcle is 56.52
Question 6 of 10
In which form is the following function written?
y= -2(x - 3)(x + 5)
___ form.
Answers
Answer:
Root form
Step-by-step explanation:
If this is precalculus or Algebra 2, then this should be root form
Answer:
factorised form
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answers
Answer:
The answer is 25:1
Step-by-step explanation:
simpifly 15/20 .............
Answers
Answer:
3/4
Step-by-step explanation:
Divide both numerator and denominator by 5:
3/4
Which of these is a group of organs that work together and perform one or more functions?
• Organelle
• Organ System
•Molecule
•Tissue
Answers
Answer:
molecues
Step-by-step explanation:
molecues
Answer:
Organ System, and organ system is a group of organs that work together to accomplish a goal. An example of this would the the Digestive system, this is a organ system made up of may organs such as your large and small intestine and stomach in order to complete your digestive track.
Name all the segments that is parallel to the given segment.
Answers
Answer and Step-by-step explanation:
AB is parallel to FE
CA is parallel to EG
CB is parallel to FG
#teamtrees #WAP (Water And Plant)
2 is FG
3 is AG
4 is EG
5 is FC
6 is CE
joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76 which is a better buy?
Answers
Answer:
my name is joseph
Step-by-step explanation:
2+2=22? is this the corect awnser
Answers
Answer:
I think 2+2=4
Step-by-step explanation:
20+2=22 tho
Answer: no
Step-by-step explanation:
2+2= 4
20+2=22
But u can’t get put 2+2 and say 22. Unless it’s 11(2) =22
The polynomial p(x)= x3 + 7x2 – 36 has a known factor of (x + 3).
Answers
A triangle has a height of 5 and an area of 60. Find the base.
Answers
Answer:
24
Step-by-step explanat
6 2/7 divided by 2 3/4
Answers
44/2 divided by 11/4
Divide = multiply reciprocal
44/2 * 4/11 = 176/22 = 8
The answer is 8
Answer:
16/7
Step-by-step explanation:
6 2/7 / 2 3/4
44/7 / 11/4
44x4/7x11
16/7
0.3d-1/3 1/3=.84:7/15
Answers
Answer:
[tex]d=\frac{147}{6.3}[/tex]
Step-by-step explanation:
The right side is a ratio [tex]0.84:\frac{7}{15}[/tex] a ratio can be written as a fraction [tex]\frac{0.84}{\frac{7}{15} }[/tex] this means [tex]0.84[/tex] divide by [tex]\frac{7}{15}[/tex] which is the same as [tex]0.84*\frac{15}{7}=\frac{12.6}{7}[/tex] On the left, change the mixed fraction [tex]3\frac{1}{3}[/tex] to the improper fraction [tex]\frac{10}{3}[/tex] Then divide [tex]0.3d-1[/tex] by [tex]\frac{10}{3}[/tex] which is same as [tex](0.3d-1)*\frac{3}{10} =\frac{3(0.3d-1)}{10}[/tex] So the equation is now [tex]\frac{3(0.3d-1)}{10}=\frac{12.6}{7}[/tex] Now multiply both sides by 10 and 7:[tex](10)*(7)*\frac{3(0.3d-1)}{10}=\frac{12.6}{7}*(7)*(10)\\7*3(0.3d-1)=12.6*(10)\\21*(0.3d-1)=126\\6.3d-21=126\\6.3d-21+(21)=126+(21)\\6.3d=147\\d=\frac{147}{6.3}[/tex]Answer:
d=147/6.3
Step-by-step explanation:
d = 147 / 6.3