Which equation represents the line that is parallel to segment RS in the triangle below and passes through point T?
Answers
Answer:
[tex]y = \frac{1}{2}x +4[/tex]
Step-by-step explanation:
Given:
[tex]R = (0,0)[/tex]
[tex]S= (8,4)[/tex]
[tex]T = (-2,3)[/tex]
First, we have that the line is parallel to RS.
This means that the line has the same slope as RS and the slope of RS is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4-0}{8-0}[/tex]
[tex]m = \frac{4}{8}[/tex]
[tex]m = \frac{1}{2}[/tex]
So, the line has a slope of [tex]m = \frac{1}{2}[/tex]
Next, we have that the line passes through [tex]T = (-2,3)[/tex].
The equation of the line is then calculated using the following formula
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 3 = \frac{1}{2}(x - (-2))[/tex]
[tex]y - 3 = \frac{1}{2}(x +2)[/tex]
Open bracket
[tex]y - 3 = \frac{1}{2}x +1[/tex]
Make y the subject
[tex]y = \frac{1}{2}x +1+3[/tex]
[tex]y = \frac{1}{2}x +4[/tex]
Related Questions
Events A and B are independent. The probability of A given B has occurred is 0.43, and the probability of B given A has occurred is 0.35.
What is the probability, to the nearest hundredth, that A and B occur?
Answers
Answer:
0.43* 0.35 = 0.1505 or 0.15 after rounding
Step-by-step explanation:
Based on the probabilities of A and B occurring with conditions, the probability of A and B occurring is 0.15.
What is the probability that both A and B occur?This can be found by the formula:
= Probability that A occurs if B occurs x Probability of B occurring if A occurs
Solving gives:
= 0.43 x 0.35
= 0.15
In conclusion, the probability is 0.15.
Find out more on independent event probabilities at https://brainly.com/question/7965468.
#SPJ2
The volume of a cube is given by s9 and the total surface area of a cube is given by 632, where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is [ ]
cubic inches and its total surface area is[ ]
square inches
BROO HELP ME FAST
Answers
Answer:
Surface area of a cube = side * side * 6
632 = side * side * 6
side^2 = 632/6
side^2 = 105.3333333333
side = 10.2632028789
********************************************
For a 5 inch side
volume = 5 * 5 * 5
= 125 cubic inches
surface area = 5 * 5 * 6
surface area = 150 square inches
Step-by-step explanation:
Right now I have a selected but I’m not sure if that’s right please help
Answers
2 Classify the triangle by its sides. The diagram is not to scale. A straight B equilateral C scalene D isosceles (sides are 8,6,6)
Answers
Answer:
D) Isosceles
Step-by-step explanation:
An isosceles triangle is the triangle that has 2 sides that are the same.
What is the slope of the line in the graph?
Answers
Find the slope of the line - type you answer AS A WHOLE NUMBER (NO fraction)
The slope of the line is equal to =
Answers
Answer:
2/1
Step-by-step explanation:
Suppose the equation of line s is y=2. What are the coordinates of C' of angle ABC for Rs?
Answers
Calculate the average times it took the car to travel 0.25 and 0.50 meters. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answers
Answer:
What is the average time it took the car to travel 0.25 meters?
2.23 secondsWhat is the average time it took the car to travel 0.50 meters?
3.13 secondsI hope is work you!!
(1) The first velocity of the car with two washers at the 0.25 meter mark is 0.125 m/s.
(2) The second velocity of the car with two washers at the 0.5 meter mark is 0.25 m/s.
What is velocity?Velocity is the rate of change of displacement with time. The velocity of the cars depends on displacement and time of motion.
First velocity of the car at the 0.25 meter markThe first velocity is calculated as follows;
v1 = 0.25 m / t1
let t₁ = 2 s
v₁ = 0.25/2
v₁ = 0.125 m/s
Second velocity of the car at the 0.5 meter markv2 = 0.25 m / (t2 – t1)
let t₂ = 3 s
v₂ = 0.25(3 - 2)
v₂ = 0.25 m/s
The complete question is below:
Calculate the first and second velocities of the car with two washers attached to the pulley, using the formulas
v1 = 0.25 m / t1, and
v2 = 0.25 m / (t2 – t1)
Learn more about velocity here: https://brainly.com/question/6504879
Question 20 of 40
Juan has scores of 85, 83, and 93 on three math
tests. What is Juan's average test score on these
math tests?
85
Answers
Answer:
85
Step-by-step explanation:
Corey gave the cashier a $100 bill for 4 amusement park tickets. The cashier gave him $26.80 change. If each ticket cost the same amount, what was the cost for each amusement park ticket?
Answers
Answer:
$18.30
Step-by-step explanation:
100 - 26.80 = 73.20
73.20 / 4 = 18.30
Kareem cannot decide which of two washing machines to buy. The selling price of each is $480. The first is marked down by 30%. The second is marked down by 20% with an additional 10% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.
Answers
Answer:
1. $336
2.$345.6
Step-by-step explanation:
First off the first machine is cheaper because of the 30% off of the total price rather than 20 off the price then another 10 percent off that price.
mine says marked down by 30. then 10. then 20
PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A. Write a function that can be used to find the total charge, c, Juan will pay when the electrician works, h, hours. Y=mx+b B. How much will Juan pay if it takes the electrician 6 1/2 hours to complete the job? (Vou should have 9 answers in question 2
Answers
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
C=45h+30
C=45(6.5)+30
Im using a decimal because it should be clear 1/2=0.5
C= 292.5+30
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
C=$322.50
From his house, Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house. How far is Shane from his grandparents' house?
Answers
Answer:
15 miles
Step-by-step explanation:
It is given that,
Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house.
It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house.
It can be calculated by considering a right angled triangle. Using pythagoras theorem, we can find the distance between Shane from his grandparents' house. Let it is d.
[tex]d^2=\sqrt{17^2-8^2} \\\\=15\ \text{miles}[/tex]
Hence, Shane is 15 miles from his grandparents' house.
Find the area of the isosceles triangle. please help thanks
Answers
Answer:
1080 m^2 Don't submit m^2 in your answer.
Step-by-step explanation:
Givens
The catch is to find h
To do that, use a^2 + b^2 = c^2
a b and c are in the same 1/2 triangle.
a = 48/2 = 24 m
b = h = ?
c = 51 meters
Solution
a^2 + b^2 = 51^2 Substitute for b^2 = h^2
24^2 + h^2 = 51^2 Expand 24^2 and 51^2
576 + h^2 = 2601 Subtract 576 from both sides
h^2 = 2601 - 576
h^2 = 2025 Take the square root of both sides
h = 45
Area
Area = 1/2 b * h
Area = 1/2 48 * 45
Area = 1080
Remark
Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.
To find the area, you need to use all of 48 because 48 is the full length of the base.
Find the zeros of the function.
Enter the solutions from least to greatest.
MY
f(x) = (x – 3)(2x – 8)
Pro
lesser x =
greater x =
Answers
Answer:
lesser x =3
greater x=4
lesser x =3
greater x=4
What is the simplified expression for 3^3• 3^3/3^4?
A. 3^0
B.3^1
C.3^2
D.3^4
Answers
Answer:
C
Step-by-step explanation:
It is C because multiplying exponents means you add the top number while dividing means subtract.
Answer:
Its C
Step-by-step explanation:
50 Points! The sum of 3 consecutive integers is -51. What are the integers?
Answers
Answer: The sum of three consecutive even integers is 24. The integers are 6 (from the x) , 8 (from the x + 2), and 10 (from the x + 4).
Step-by-step explanation:
When my cat likes to run around:
Red- When I call his name.
Yellow- When we are in a rush
Blue- At 3 o'clock in the morning
Answers
Answer:
Step-by-step explanation:
5098
WILL GIVE OUT BRAINLIEST AT LEAST TWO PEOPLE MUST ANSWER!!
-4x + 9 - y + 8x + 2 + 8y + x
FIND CONSTANT-
Answers
Answer:
5x+7y+11
Step-by-step explanation:
Write 968,000 in scientific notation.
A. 968 × 103
B. 96.8 × 102
C. 9.68 × 104
D. 9.68 × 105
Answers
Does anyone know how to solve this using the methods of interval?
Answers
Identify the Y intercept of the the equation 5x+8y =120
O A. (0,24)
O B. (15,0)
O C. (0,15)
O D. (24,0)
Answers
Answer:
(0,15)
Step-by-step explanation:
The Y-intercept is when X=0, so plug in x=0 into the given equation. 5(0)+8y=120. Now solve for Y. 8y=120, y=15. So When x=0, y=15: this is the coordinate (0,15).
y = -x + 5
Write in standard form. PLEASE SHOW WORK
Answers
y
=
5
−
x
y=5−x
2 Subtract
5
5 from both sides.
y
−
5
=
−
x
y−5=−x
3 Multiply both sides by
−
1
−1.
−
y
+
5
=
x
−y+5=x
4 Regroup terms.
5
−
y
=
x
5−y=x
5 Switch sides.
x
=
5
−
y
x=5−y
A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?
0.1
Answers
Answer:
2
Step-by-step explanation:
i answered this
NEED HELP ASAP PLEASE HELP!!!!!!!!
Answers
X = 3
Y = 9
EXPLANATION: it is an equilateral triangle meaning the all three angles equal 60
20 ( 3 ) = 60
Answer:
x = 3
y = 9
Step-by-step explanation:
It is an equilateral triangle so all sides are equal and all angles are 60°.
This means that 20x = 60 and y=AB=AC=BC=9
6) Use the distributive property to expand the following expression: 4(6 + x)
Answers
Answer:
24+4x
Step-by-step explanation:
4(6)= 24
4(x)= 4x
help me please i need this answered fast
Answers
Answer:
Step-by-step explanation:
the one on the bottom because
the orientation of the points do not change
Help I will mark brainliestttt
Answers
Answer: the slop should be -1/2 not sure tho
Step-by-step explanation:
In order to construct the perpendicular bisector of AB, which statement describes the compass settings and the number of arc intersections needed? A less than half the length of AB : 1 B В. less than half the length of AB : 2 more than half the length of AB : 1 O D more than half the length of AB : 2
Answers
Answer:
Answer:
D. More than half the length of AB ; 2 intersections needed
Step-by-step explanation:
Bisection implies dividing a given segment or angle into two equal halves.
To bisect AB, open the radius of the compass more than half the length of AB. With center A, describe an arc at the upper region of AB and below AB. Now, using B as the center, draw a second arc upward and downward to intersect the initial arcs at a point. Join the two points of intersection with a line passing through AB. Thus, AB has been bisected.
Step-by-step explanation:
Help please!!
The product of w and twelve as an expression.
