Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
HELP PLS IM GOING TO CRY
Answer: y = 4/4x + 3
nnnnnnnnnnnnnnvvvvvvvvvvvvmmmmmmmmmm k
Can some one help me PLEASEEE
Find the equation of the line
Y= __x + __
Answer:
Step-by-step explanation:
(0, -9) and (3,3)
(3+9)/(3-0) = 12/3 = 4
y + 9 = 4(x - 0)
y + 9 = 4x - 0
y = 4x - 9
Just tell me why the answer is right ( Will give brainliest)
Answer:
D
Step-by-step explanation:
the answer you chose is correct because if you isolate x (shown below), you end up with -5. there is also no equal sign under the less than symbol, so that means it is an open circle, which it is. however, you must flip the sign when multiplying or dividing by a negative number in inequalities, so this becomes a greater than symbol, showing that x is greater than -5. this accurately portrays the given inequality on the number line.
-5x-6<19
-5x<25
x>-5
Answer:
D
Step-by-step explanation:
and because its right
What is the equation of the line that is perpendicular to y equals negative four x plus five and passes through the point four comma negative three ?
Answer:
y= 1/4x - 4
Step-by-step explanation:
use point slope form which is:
y - y1 = m(x - x1)
we know that the slope will be 1/4 because perpendicular is a negative reciprocal.
plug everything into point slope form:
y + 3 = 1/4 ( x - 4)
we distribute the 1/4 and then subtract the three and we get our answer
y= 1/4x - 4
given A(-2,1) and B(4,3), what is the midpoint of segment AB
Answer:
(1,2)
Step-by-step explanation:
to find the midpoint of a line you have to find the midpoint of the x and the y
x is -2 and 4 the midpoint is 1
y is 1 an 3 the midpoint is 2
(1,2)
The sum of 3 consecutive integers is 120. What is the greatest of these integers? HELP ME IT'S DUE TODAY!!!
Answer:
41Step-by-step explanation:
The consecutive integers are increasing by 1
x ← the smallest integer
x+1 ← the middle integer
x+1+1 = x+2 ← the largest integer
x + x+1 + x+2 = 120
3x + 3 = 120
÷3 ÷3
x + 1 = 40
-1 -1
x = 39
x+2 = 39 + 2 = 41
Somebody please help!
Answer:
:) :) :) :) :) :) :) Hiiiiiiiii
Step-by-step explanation:
It -13. When you multiply 5 and -3, it's -15 and hen add 2, ad it will be -13.
What is the radical expression that is equivalent 27 1/5?
Enter your answer as a radical. For example, if your answer is 14−−√3, enter your answer like this: cuberoot(14)
Answer:
possible answers are shown in picture.
Step-by-step explanation:
The table shows values for the two functions f and g for different values of x.
What is f(g(0))?
-1
0
1
This composition is undefined.
Answer:
C.) 1
Step-by-step explanation:
EDG 2020
The value of f(g(0)) is 1.
What is Composition of Functions?Composition of two functions f and g can be defined as the operation of composition such that we get a third function h where h(x) = (f o g) (x).
h(x) is called the composite function.
Given a table which shows values for the two functions f and g for different values of x.
We have to find the value of f(g(0)).
f(g(0)) = f[ g(0)]
From the table, g(0) = -1.
f(g(0)) = f(-1) = 1
Hence the value of f(g(0)) is 1.
Learn more about Composition of functions here :
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The table is given below.
What is the approximate value of x? Round to the nearest tenth.
Answer:
40 degreses
Step-by-step explanation:
there is a right angle and that means it is 90 degreese then it gives you 50 degreese so you add them up and get 140 then you subtract that 140 from 180 and get 40 degreese.
Answer:
c
Step-by-step explanation:
cause it is
What's an equation that will move the graph of the function f(x) = x^2 left 2 units and down 4.
Answer:
y = f(x+2)-4
Step-by-step explanation:
you change x in the bracket(+ is left, - is down)you change y outside the bracket(+ is up, - is down)I need to solve for c
3b +ac=c-4
Answer:
The answer is
c=-4+3b/a-1
Question 13(Multiple Choice Worth 1 points) (8.03 LC) A set of equations is given below: Equation C: y = 7x + 12 Equation D: y = 7x + 2 How many solutions are there to the given set of equations? One solution Two solutions Infinitely many solutions No solution
Answer: I believe it would be no solution
Step-by-step explanation
Answer:
No solutions
Step-by-step explanation:
y=7x+12;y=7x+2
Step: Solvey=7x+12for y:
y=7x+12
Step: Substitute7x+12foryiny=7x+2:
y=7x+2
7x+12=7x+2
7x+12+−7x=7x+2+−7x(Add -7x to both sides)
12=2
12+−12=2+−12(Add -12 to both sides)
0=−10
Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.
What must be the value of x so that lines c and d are parallel lines cut by transversal p?
12
18
81
99
The value of x so that lines c and d are parallel lines cut by transversal p is 12
Angles and transversalsFrom the given figure, the sum of the given angles is supplementary, that is:
3x + 45 = 81
Subtract 45 from both sides
3x + 45 -45 = 81 - 45
3x = 36
x = 12
Hence the value of x so that lines c and d are parallel lines cut by transversal p is 12
learn more on transversals here: https://brainly.com/question/24607467
Answer: B
Step-by-step explanation:
18
What is the slope of the line defined by 3 x - 2 y = 10 ?
Answer:
3/2
Step-by-step explanation:
if you put the equation in slope intercept form you get y=3/2x-5
Simplify. 4√−99
Enter your answer, in simplest radical form, in the box.
Answer:
Not sure on this but I'm pretty sure its 12i√11 since you have to use an imaginary number in order for the equation to work.
By simplifying the expression 4√−99, we have; 12i√11.
To simplify 4√−99, we first need to simplify the number present within the square root.
To do this, the factors are determined as follows;
4 × √9 × √-11We can therefore find the square root of 9 so that we have;
4 × 3 × √-11.4 × 3 × √-1112 × √-11Furthermore, √-11 can be rewritten as;
√-1 × √11.However, in complex numbers, √-1 = i.
Ultimately, we have 12i√11 as the simplification of 4√−99.
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I need help finding x and y angle.
A water tank initially contained 70 liters of water. It is then drained at a constant rate of 2.5 liters per minute.
How many minutes have passed, m, when the tank contains 46 liters? Round to the nearest tenth.
Answer:
9.6 minutes
Step-by-step explanation:
46=-2.5x+70
2.5x=24
9.6 = x
Triangle PQR has side lengths 6 cm, 7 cm, and 11 cm. A
triangle with what side lengths would be similar to
triangle PQR?
Select one:
1) 24 cm, 28 cm, 44 cm
2) 3 cm, 5 cm, 9 cm
3) 7 cm, 8 cm, 12cm
4) 24 cm, 21 cm, 33 cm
Answer: the correct answer is 3
The side lengths similar to triangle PQR are 24 cm, 28 cm, 44 cm
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Given that, a triangle PQR with side lengths 6 cm, 7 cm, and 11 cm.
Considering option 1) 24 cm, 28 cm, 44 cm
To see the similarity, we will check if the ratio of the corresponding sides are equal or not,
6/24 = 1/4
7/28 = 1/4
11/44 = 1/4
That means, 6/24 = 7/28 = 11/44 = 1/4
Since, the corresponding sides of these triangles are in equal ratios,
Hence, The side lengths similar to triangle PQR are 24 cm, 28 cm, 44 cm
For more references on similar triangles, click;
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PLEASEE HURRY what is the value of x?
Is this table proportional or non-proportional
X 8,16,24,32
Y 2,4,6,8
Can someone help me with this please
Answer:
8.94427191
Step-by-step explanation:
8^2 + y^2 = 12^2
64 + y^2 = 144
y^2 = 80
y = 8.94427191
-12 = 6+ 2/3 y
Pleaseeeee help me ❤️
Write an equation and solve for x
jenny invited Hannah to go watch a movie with her family
Answer:
idk what this is 4
Step-by-step explanation:
Answer:
Hannah said no.
Step-by-step explanation:
Hannah doesn't like Jenny anymore, Jenny's too annoying and full of herself. Hannah doesn't want to be around Jenny anymore, her ego is too big for her, and that's saying something.
Compare the ratios in Table 1 and Table 2.
Table 1
3
5
6
10
9
15
12
20
Table 2
7
10
14
20
21
30
28
40
Which statements about the ratios are true? Check all that apply.
The ratio 3:5 is less than the ratio 7:10.
The ratio 3:5 is greater than the ratio 7:10.
The ratio 14:20 is less than the ratio 9:15.
The ratio 14:20 is greater than the ratio 9:15.
The ratios in Table 1 are less than the ratios in Table 2.
The ratios in Table 1 are greater than the ratios in Table 2.
Answer:
the answer is A,D, and E
Step-by-step explanation:
i just got it right xd
NEED HELP QUICK! IT'S FOR AN ASSIGNMENT DUE TODAY!
Answer:
A =72 in^2
When dilated
=1152 in ^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
We need to convert the units to match
2 ft= 24 inches
A = 1/2 ( 24*6)
A = 1/2 (144)
A =72 in^2
When dilated 6 inches *4 = 24 inches
24 inches *4 = 96 inches
A = 1/2 ( 96*24)
= 1/2(2304)
=1152 in ^2
I’ve been trying to answer this question and it takes me forever. Can you guys help ,e with this one?
Answer: for the first one it is +1
for the second one it is +3
for the third one it is +7
for the 4th one it is +13
and for the fifth one it is +21