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
what is the equation of the line that has a slope of 0 and passes through the point (4,-3)?
Answers
how to solve the equation 8b - 12 = 5b
Answers
Answer:
b = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
8b - 12 = 5b
Step 2: Solve for b
Subtract 5b on both sides: 3b - 12 = 0Add 12 on both sides: 3b = 12Divide 3 on both sides: b = 4Step 3: Check
Plug in b to verify it's a solution.
Substitute: 8(4) - 12 = 5(4)Multiply: 32 - 12 = 20Subtract: 20 = 20And we have our final answer!
Simplify the followingexpression (-5)(-3)(4)
Answers
A negative times a negative equals a positive. This means that -5 x -3 = 15.
Then you multiply that by four and get 60.
Hope this helps and have a nice day!!
2.6x 0.47 pls show your work I need help
Answers
Answer:
2.6 x 0.47 = 1.222
Step-by-step explanation:
• The height of a particular species of tree, in feet, r years after it is planted can be modeled by the
linear function h(x) = 5.27 +3.12x. Which of the following best interprets the y-intercept of the
linear model?
a. The average height of the species when planted is 5.27 feet.
b. The average height of the species when planted is 3.12 feet.
c. The species of tree grows by an average height of 5.27 feet per year.
d. The species of tree grows by an average height of 3.12 feet per year.
Answers
What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25
Answers
Answer:
25
Step-by-step explanation:
Answer:
it is 25
Step-by-step explanation:
A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?
Answers
Answer:
≈3.11
Step-by-step explanation:
The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.
What is the value of the quantity after 21 days?When a quantity decays , it means that the value of the quantity declines with the passage of time.
The formula that can be used to determine the value of the quantity after a number of weeks is :
FV = P (1 - r)^n
Where:
FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks920 x (1 - 0.85)^3
920 x 0.15^3 = 3.11
To learn more about exponential function, please check: brainly.com/question/18760477
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
Answers
Answer:
x = 3 in
Step-by-step explanation:
Since it's a square, to find the area, all you have to do is multiply one side of the square by another. Since this is a square, all the sides are equal. so 3x3 = 9. 9 sq. in.
4x – 3y = 11
8x + 2y = 46
Answers
Answer:
y=-17 x=10
Step-by-step explanation:
4x-3y=11
8x+2y=46
8x-6y-22 8x+2(-17)=46
8x+2y=46 8x-34=46
2y-6y 46-(-22) 8x=80
-4y=68
y=-17 x=10
536-248 answer and show your work
Answers
Answer:
288
Step-by-step explanation:
288+248=536
I need help plz help
Answers
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.
Answers
Answer:
1. 15*15
2. 10*10
3. 3*3
Step-by-step explanation:
Answer:
Square the given value
Step-by-step explanation:
1. 15^2=225
10^2=100
3^2=9
A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Translate the scenario.
Team A =
Team B =
Team C =
The equation representing this scenario is
.
Answers
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
Take 4b+75 = 983
b = (983 - 75)/4 = 227
now
Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449
Team B = b = 227
Team C = 80 more than team B = b+80 = 227+80 = 307
or you can just subtract 983 - (Team A +Team B)
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
the other persons answer
Steve is looking up at Godzilla with an angle of elevation of 49 degrees. If Steve is 400 feet away, how tall is Godzilla to the nearest foot?
Answers
9514 1404 393
Answer:
460 feet
Step-by-step explanation:
The tangent relates the measures to the angle:
tan(angle of elevation) = (Godzilla height)/(distance away)
tan(49°) = (Godzilla height)/(400 ft)
Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft
Godzilla is 460 feet tall.
Answer:
godzilla is 393 foot tall
Step-by-step explanation:
I NEED HELP WITH THIS QUESTION
Answers
Answer:
y= 7 and -1
Step-by-step explanation:
Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100
Answers
$5 = 1 walk
Divide 100 by 5 and you get 20
5.
Which of these scales are equivalent to 3 inches to 1 yard? Select all that apply.
A.1 inch to 1 foot
B.
6 inches to 9 feet
C.
1 inch to yard
D
1 inch to 12 inches
Please help
Answers
PLS HELP. URGENT
Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)
Answers
270=2.25D
D= 120 stickers
Select the correct answer. If 20% of a number is 35, what is 50% of that number?
Answers
Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*
Answers
Answer:
The answer is letter A.
-7+3(-4e-3)
−7+3((−4)(2.718282)−3)
=−48.619382
-4(3e+4)
−4((3)(2.718282)+4)
=(−4)((3)(2.718282)+4)
=(−4)((3)(2.718282))+(−4)(4)
=−32.619382−16
=−48.619382
Explain why the exponent in 3.5 x 10 6 is 6 there are only 5 zeros in 3500000
Answers
Step-by-step explanation:
The given number is 3.5×10⁶. It is written in scientific form. We can first write it into standard form. There is exponent of 10 is 6.
3.5×10⁶ = 3.5×1000000
We can write 3.5 as 35/10
So,
3.5×10⁶ = (35/10)×1000000
= 3500000
One of the zero of 1000000 is divided by 10 at the denominator. Hence, the exponent in 3.5×10⁶ is 6 while there are 5 zeros in 3500000.
Please help me, thanks!
Answers
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
Which of the following is equivalent to the expression below? x 6 x 2
Answers
Answer:
Step-by-step explanation:
the answer is D
PLS SOLVE!!!!! THANK YOU!!!!!
Answers
CHECK MY ANSWERS PLEASE!!
1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)
Answers
Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU
Find the value of r so the line that passes through each pair of points has the given slope.
Point 1:(-7,2)
Point 2:(-8,r)
m = -5
Answers
Answer:
7
Step-by-step explanation:
[tex]\frac{r - 2}{-8+7} = -5[/tex]
r - 2 = - 5(- 1) ⇒ r = 7
Translate the phrase into an algebraic expression.
The product of c and 2
Answers
Answer:
c+2
Step-by-step explanation:
Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.
A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?
Answers
Answer: $50
Step-by-step explanation:
Rounding the numbers, you get 70-20, which equals $50
Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?
Answers
164-52=112
112/8=14
Answer:
I would say 14 weeks.
Step-by-step explanation:
I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.
Which equation justifies why 9 1/3 = ∛9?
(9 1/3)³ = 9(1/3·3) = 9
(9 1/3)³ = 9(1/3+3) = 9
(9 1/3)³ = 9(1/3-3) = 9
(9 1/3)³ = 9(3-1/3) = 9
Answers
Answer:
(91/3)3=9(1/3-3)=9
Step-by-step explanation:
Answer:
hows your day
Step-by-step explanation: