Answer:
The speed of the boat in still water is 18 mph.
The speed of the current is 2 mph
Step-by-step explanation:
Let x represent the speed of the boat in still water.
Let y represent the speed of the current.
When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that
x - y = 16 (equation 1)
Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that
x + y = 20 (equation 2)
Adding both equations, it becomes
2x = 36
x = 36/2
x = 18 mph
Substituting x = 18 into equation 1, it becomes
18 - y = 16
y = 18 - 16
y = 2 mph
Divide Rs 84 in 1:2 ratio
Answer:
Rs . 28 and Rs.56
Step-by-step explanation:
Explaination in figure
Please mark me as brainliest
If R ={(a,1),(b,2)} then which one is the inverse of the relation R?
Answer:
R’ = {(1,a) , (2,b)}
Step-by-step explanation:
For us to get the inverse, we switch the places of the x and y variables
The x variable goes to the place of the y variable and the y variable goes to the place of the x variable
we have this as;
R’ = {(1,a) , (2,b)}
please help!! if you’re good at these i have a few more of them can you continue to help me i’m begging !!
Answer:
Step-by-step explanation:
y = 1/2x + 3
Add the first 94 terms of this sequence: 9, 33, 57, 81, 105,
Answer: 105750
Step-by-step explanation:
From the sequence 9, 33, 57, 81, 105, the following can be derived:
a = First term = 9.
d = Common difference = 33 - 9 = 24
n = Number of terms = 94
The sum of the nth term will be:
= n/2[2a + (n – 1)d]
= 94/2 [(2 × 9) + (94 - 1) × 24]
= 47 [18 + (93 × 24)]
= 47[18 + 2232]
= 47 × 2250
= 105750
Therefore, the sum of the 94 terms of the sequence is 105750.
The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?
The correct option is B)
Let the fourth vertex D =(x,y)
We know that the diagonals of a parallelogram bisect each other. So, the.
What is the midpoint?The midpoint of AC is the same as the midpoint of BD.
Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is calculated by the formula ( 2x 1+x 2, 2y 1+y2 )
So, the midpoint of AC= Midpoint of BD
=>( 2−2+8, 23+3)=( 26+x, 27+y
=>( 6, 26)=( 26+x, 27+y)
=>6+x=6;7+y=6
=>x=0;y=−1
Hence, D=(0,−1)
Solve any question of Coordinate Geometry with.
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help I will give you brainliest if you do
A projectile is launched into the air following the equation h(t)=-40t^2+200t, where h(t) is the height of the projectile above the ground in feet, and it is the time, in seconds. How much times elapses, in seconds, from the time the projectile is launched to the time the projectile hits the ground?
a)1
b)4
c)5
d)16
Answer:
Step-by-step explanation:
If the position function is
[tex]h(t)=-40t^2+200t[/tex] and we are looking for time when the height is 0, we sub in a 0 for h(t) and solve for t:
[tex]0=-40t^2+200t[/tex] and the easiest way to do this is to factor by taking the GCF of -40t:
0 = -40t(t - 5) and by the Zero Product Property,
-40t = 0 or t - 5 = 0. Solving for t, we get
t = 0 (which is before the object is launched) and
t = 5 (which is how long it takes the object to go from the ground, up to its max height, and then back to the ground again).
Your choice is c) 5
photo, giving brainliest
Answer:
Ruby is sphere
Shriya's is incorrect
Abhishek's is correct
Step-by-step explanation:
Ruby's definition matches a sphere because it is 3D and Shriya's is wrong.
Please help me with this question please help me rn
Answer:
Check the explanation for the answer please. Thank you!
Step-by-step explanation:
a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.
b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.
c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!
Hope this helped!
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!
Answer:
(x-3)^2+(y-16)^2=9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
(x-3)^2+(y-16)^2=9
Hope this helps :)
If PQRS is a parallelogram, what is the value of y
S11R13P11
A. 44
B. 60
C. 52
D. 26
E. 48
F. Cannot be determined
HELLPPPPPP
Answer:
C.52
Step-by-step explanation:
In a parallelograms opposite sides are congruent
This means that side SP = side RQ as they are opposites
Hence 1/4y = 13
Note that we've just created an equation that we can use to solve for y.
We now solve for y algebraically using the equation we've just created
1/4y = 13
Divide both sides by 1/4
1/4y / 1/4 = y
13 / 1/4 = 52
We're left with y = 52
If PQRS is a parallelogram, the value of y in the parallelogram PQRS is 52. Therefore, option C, 52, is the correct answer.
To find the value of y in the parallelogram PQRS, we can use the properties of parallelograms.
In a parallelogram, opposite sides are equal in length. Therefore, PQ is equal to RS, and QR is equal to SP.
Given that PQ = 11 and RS = 11, we can conclude that QR = SP.
Substituting the given values, we have:
1/4 y = 13
To isolate y, we multiply both sides of the equation by 4:
4 * (1/4 y) = 4 * 13
This simplifies to:
y = 52
Using the property of a parallelogram where opposite sides are equal, we determine that QR is equal to SP. Substituting the given values, we find that 1/4 y is equal to 13. By multiplying both sides of the equation by 4, we isolate y and find that its value is 52.
Therefore, option C, 52, is the correct answer.
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Someone please help me out!! I’m struggling
Answer:
This is called "completing the square"
It is a technique to solve a quadratic equation. It involves "moving all
of the constants to the right" , then doing a "move" on the left hand side. This move "creates a perfect square".. This is done by taking 1/f of the "B" term and squaring it... this will "un-balance" the sides of the equation... to balance it out you have to "add" some stuff to the right hand side... when done the left side will be "a perfect square" .. last step will be take the square root of both sides.
Step-by-step explanation:
[tex]x^2 + 12x + 15 = 0[/tex]
[tex]x^2 + 12x + 15 -15 = -15[/tex]
[tex]x^2 + 12x = -15[/tex]
[tex]b = 12 ... (1/2 b)^2 = 6^2 = 36[/tex]
[tex]x^2 + 12x + 36 = -15 + 36[/tex]
[tex]x^2 + 12x + 36 = 21[/tex]
[tex](x+ 6)^2 = 21[/tex]
[tex]\sqrt{(x+ 6)^2 } =[/tex] ± [tex]\sqrt{21}[/tex]
[tex]x+ 6[/tex]= ± [tex]\sqrt{21}[/tex]
x = -6 ±[tex]\sqrt{21}[/tex]
Answer:
Step 1: -15
Step 2: b = 12, c = 36
Step 3-4: x² + 12x + 36 = -15 + 36, which simples to (x + 6)² = 21
If there is a step that has you solve for x, it should be -6 + √21 or -6 - √21.
Step-by-step explanation:
Step 1 is pretty simple. All we have to do is subtract 15 from 0 to get the first blank.
x² + 12x = 0 - 15
x² + 12x = -15
Step 2:
b is the coefficient on x, which is 12.
Then, use the formula mentioned:
[tex]c = ( \frac{b}{2})^{2} \\ c = ( \frac{12}{2} )^{2} \\ c ={6}^{2} \\ c = 36[/tex]
As a result of that, c is 36.
Now to substitute and simplify. (Steps 3-4)
x² + 12x + 36 = -15 + 36
To factor an equation, think about it like this: Find two numbers that add to the coefficient of x, and multiply to the constant. So what two numbers add to 12, and multiply to 36? That would be 6 & 6 (6 + 6 = 12; 6 × 6 = 36).
(x + 6)² = -15 + 36
Add 36 to -15 to get 21.
(x + 6)² = 21
That should solve steps 1-4, but I will go on ahead and give the final answer to the entire problem.
(x + 6)² = 21
Yes, you are about see what I just factored be expanded back over again. It's part of the process.
x² + 12x + 36 = 21
Now subtract 21 from both sides.
x² + 12x + 36 - 21 = 21 - 21
x² + 12x + 15 = 0
Now onto the hard part of this: the quadratic formula. a = (the understood) 1, b = 12, and c = 15.
x = (-b ± √b² - 4ac)/2a
x = -12 ± √12² - 4(15)/2
x = -12 ± √144 - 60/2
x = -12 ± ✓84/2
x = -6 + √21 or -6 - √21
the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function
x + a = 10 . Find the vale of x if a = 10.
Answer:
x = 0
Step-by-step explanation:
a = 10
=> x + a = 10
=> x + 10 = 10
=> x = 10 - 10
=> x = 0
1. The maximum value of Sin A and Cos A is:
Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2
Answer:
[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]
Step-by-step explanation:
We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.
[tex]y-y_1= m (x-x_1)[/tex]
Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:
m= 6x₁= -1y₁= -1Substitute the values into the formula.
[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]
Distribute the 6. Multiply each value inside the parentheses by 6.
[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]
Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.
[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]
The equation of the line in slope-intercept form is y=6x+5
pls help simple measurement question
Answer:
<2 = 40
Step-by-step explanation:
Angles 2 and 3 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<2 =<3 = 40
A cabinet maker used 2.8 gallons of varnish on 8 cabinet doors. At this rate, how many gallons of varnish are required for 60 cabinet doors?
Answer:
21
Step-by-step explanation:
2.8 for 8 means a ratio of
2.8/8
now we need to transform this ratio to show x/60.
for that we need to multiply the numerator and the denominator with the same factor.
which factor ?
well, the one turning 8 into 60.
so,
8×f = 60
f = 60/8 = 15/2 = 7.5
so,
x = 2.8 × 7.5 = 21
he will need 22 gains for 60 doors.
Given the slope of y+2=3(x-7) and a point on the line
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = 3
(7, -2)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The equation given is in point-slope form.
⸻⸻⸻⸻
[tex]y - y_1 = m(x-x_1)\\\\m-\text{slope}\\\\(x_1,y_1)-\text{point}[/tex]
⸻⸻⸻⸻
The '3' is in the 'm' spot.
The y value is '-2', (y -(-2)) and the 'x' value is 7.
The point of the line is (7, -2) and the slope is 3.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
what inequalities is represented by this graph?
Answer:
[tex]\sf [0,∞)[/tex] is the inequality.
Step-by-step explanation:
This is the inequality represented by this graph. The main reason is this inequality contains zero to infinity.
Answer:
[tex]\sf{[0,\infty) }[/tex]
Step-by-step explanation:
x>0this inequality contains zero to infinity
I need help with both, please explain thoroughly. Does it make a difference if it says "from the origin" or "about vertex _"???
Answer:
Yes
Step-by-step explanation:
From the origin means from the centre or middle but about a vertex is from a named point.
can someone please solve 3x^2+4x-7<13
Answer:
-10/3 < x < 2
so the answer is x<-10/3 or x>2
Step-by-step explanation:
:)
What is the inverse of the function y=-8x+15?
Answer:
y = (x-15)/-8
Step-by-step explanation:
When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.
y = -8x + 15
x = -8y + 15
x-15 = -8y
(x-15)/-8 = y
Step-by-step explanation:
Hey there!
Given function is: y = -8x + 15
~ Interchange"X" and "y".
x = -8y + 15
~ Solve it
8y = 15-x
y = (15-x)/8
Therefore, the inverse of function is y = (15-x)/8.
Hope it helps!
Can someone help me I need it.
Answer:
C is the answer 3rd one...
help help help help it is little simple
3x ² - 2x + 1 = 2x ² - 3x + 7
x ² + x - 6 = 0
(x + 3) (x - 2) = 0
x + 3 = 0 or x - 2 = 0
x = -3 or x = 2
A knight traveled on his horse from one kingdom to another for 2 days. The first day he rode at a speed of 20 mph, and the second day he rode at a speed of 30 mph. If he traveled exactly the same amount of time each day and went 800 miles, find how many hours it took the knight to travel from one kingdom to another.
Answer:
Step-by-step explanation:
That was some horse.
20*t + 30*t = 800 Each day he rode the same amount of time (t). On the first day, he rode a distance of 20*t. On the second day, he rode a distance of 30*t
50t = 800
t = 800/50
t = 16
Each day he rode 16 hours
Total time = 32 hours.
Answer:
32 hours
Step-by-step explanation:
which of the following is the x-coordinate of the solution to the system shown below
2x + y = 17
x - y = 4
———————————————
(1) x = 5
(2) x = 2
(3) x = 7
(4) x = 12
thank you in advance to ANYONE who answers this question:)))
Answer:
Step-by-step explanation:
Decrease £180 by 12.5%
Answer:
£ 157.5
Step-by-step explanation:
12.5 × 180 = 22.5
100
180 - 22.5 = 157.5
I hope this helps.
i need help and nobody's helping me :(
find the range of the function y = -x^(2) + 1
y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1
Answer:
C
Step-by-step explanation:
y=-x^2+1. y is a decreasing function as x^2 is an increasing function
A line of best fit must pass through all data points of a graph.
True or False?
