The speed of the ball would be 13 m/s just before it strikes the ground.
A ball is thrown horizontally from the top of a 110 m high building. 61 meters horizontally from the moment of release, the ball falls on the earth.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
First of all, we get the time of aviation from the vertical component:
Here s = 110 m and g = 9.8 m/s²
s = 1/2 × gt²
Solve for t
t = √(2s/g)
Substitute the values of s = 110 m and g = 9.8 m/s² in the equation,
t = √(2×110/9.8)
t = √22.44
t = 4.7 sec
The horizontal component of velocity is constant :
v = s/t
Here s = 61 m and t = 4.7 sec
v = 61/4.7
v = 12.97 ≈ 13
Therefore, the speed of the ball would be 13 m/s just before it strikes the ground.
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help meeee plezzzzzzz
Answer:
-16
Step-by-step explanation:
Or you could use desmos scientific calculator
2.) Write an equation in slope-intercept form of the line that
passes through the given point and is parallel to the given line.
Parallel to: y = -3/2x + 3 Passes through: (0, -3)
O A.) y = 2/3X + 3
O B.) y = -3/2x + 3
O C.) y = 2/3x - 3
O D.) y = -3/2x - 3
Answer:
D. Y=-3/2x-3
Step-by-step explanation:
(0,-3)
-3=-2/3(0)+b
-3=b
y=-3/2x+3 parallel slope is -3/2
Y=-3/2x-3
Does anybody know? Help
make two of this figure and keep one like that and rotate the other until they line up correctly an make a rectangle, then you will see the 30 degree angle is only half of the top square. since this is true, the top square= 60 degrees. y= 20 x= 40
Vertical line q goes through plane H in the center at point X. Line t comes out of point X. Lines r and s are parallel and are at a right angle to line q. Line p goes through lines r and s. Which line is parallel to line r? line p line q line s line t
Answer:
Option C: Line s
Step-by-step explanation:
Let's refer to plane H as being 2D since we are dealing with lines.
Thus, x-axis would refer to the horizontal axis while y-axis will refer to the vertical axis.
Now, we are told that line q goes through plane H in the center at point X and that Line t is one that comes out from point X.
This means that line q and line t are parallel to each other.
Also, we are told that Lines r and s are parallel and that they're at a right angles to line q.
Since line q and line t are parallel to each other, it means that lines r and s are at right angles to both lines q and t
Thus, it means lines r and s are both perpendicular to lines q and t
Now, we are told that line p goes through r and s.
However, we want to find which line is parallel to line r.
From earlier statement we saw that lines r and s are parallel to each other.
Thus; correct answer is "line s"
Answer:
C
Step-by-step explanation:
Just did quiz on edge
The sum of the squares of the two consecutive multiples of 7 is 637. Write the
equation that characterizes this multiples.
Answer:
The first multiple of 7 = 14 or -21
The second multiple of 7 = 21 and -14
Step-by-step explanation:
Let
The first multiple of 7 = 7x
The second multiple of 7 = 7(x+1)
Square of the first multiple = (7x)^2
Square of second multiple = {7(x+1)}^2
Sum
(7x)^2 + 7(x+1)}^2 = 637
49x^2 + 49(x+1)^2 = 637
Divide through by 49
x^2 + (x+1) = 13
Open bracket
x^2 + x^2 + 1 + 2x = 13
Subtract 13 from both sides
x^2 + x^2 + 1 + 2x - 13 = 13 - 13
x^2 + x^2 + 1 + 2x - 13 = 0
2x^2 + 2x - 12 = 0
Divide through by 2
x^2 + x - 6 = 0
Solve the quadratic equation using factorization method
x^2 + 3x - 2x - 6 = 0
x(x+3) - 2(x+3) = 0
(x - 2) (x+3) = 0
x - 2 = 0
x = 2
x+3 = 0
x = -3
Substitute x = 2 or -3 into 7x
When x= 2
7(2) = 14
When x = -3
7(-3) = -21
The first multiple of 7 = 14 or -21
Substitute x = 2 or -3 into 7(x+1)
When x= 2
7(2+1) = 7(3) = 21
When x = -3
7(-3+1) = 7(-2) = -14
The second multiple of 7 = 21 and -14
anybody know this answer?
Answer:
y = x + 5
Step-by-step explanation:
Find any two points:
(1, 6)
(2, 7)
Slope = (y2 - y1) / (x2 - x1)
S0:
7 - 6 / 2 - 1
1 / 1
So slope = 1
Equation:
y = mx + b
Plug in the numbers using the x and y of any points:
7 = m * 2 + b
Add m (which is the slope):
7 = 1 * 2 + b
7 = 2 + b
Subtract two from both sides:
5 = b
So our equation is:
y = x + 5
Please let me know if I've done anything wrong!
Answer:
y = x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m = [tex]\frac{5-0}{0+5}[/tex] = [tex]\frac{5}{5}[/tex] = 1
The line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = x + 5 ← equation of line
The price of a share of stock started the day at $19. During the day it went down $13 up $1, and down $14 and up $4. What integer represents the price of a share at the end of the day.
Answer:
-3
Step-by-step explanation:
19-13=6+1=7-14=-7+4=-3
The integer represents the price of a share at the end of the day will be negative 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The price of a share of stock started the day at $19. During the day it went down $13 up $1, down $14, and up $4.
Then the integer represents the price of a share at the end of the day will be
⇒ 19 - 13 + 1 - 14 + 4
⇒ -3
The integer represents the price of a share at the end of the day will be negative 3.
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Quick i need help!! Please
Answer:
The third one
Step-by-step explanation:
! PLEASE HELP QUICKLY !
A linear function is given by formula y= 1/2x - 2
What is the x-intercept of the graph?
Answer:
see below
Step-by-step explanation:
y= 1/2x - 2
To find the x intercept, set y =0 and solve for x
0= 1/2x - 2
Add 2 to each side
2 = 1/2x -2+2
2 = 1/2x
Multiply by 2
2*2 = 1/2x *2
4 =x
The x intercept is 4
Question is in the file, please help....
Answer:
A = 10% B = 50% C=75%
Step-by-step explanation:
A is 1/10 that is 10%
B is 1/2 that is 50%
C is 3/4 that is 75%
Fractions and percentages can be useful together
Help and get points and Brainlyist
Answer:
[tex]=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{x^{3+3} }{8x} \\\\\frac{1+3}{8} \\\\\frac{4}{8} \\\\\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
Help please I don’t know the answer
Option A is correct answer
Answer:
option A i believe is correct
Step-by-step explanation:
hope that helps you :)
6) Maria bought seven boxes. A week later
half of all her boxes were destroyed in a fire.
There are now only 22 boxes left. With
how many did she start?
please helppp
Answer:
37 boxes
Step-by-step explanation:
you should try and write each of the steps into an equation of x. Where x is the boxes she started with
so, she had x boxes, she bought 7 (that's addition) and then half of those boxes (that's division) got destroyed in the fire and she has 22 left (that's your total).
you can write the equation like this:
(x+7)/2 = 22
then, you solve
(x+7) = 44
x = 37
she originally had 37 boxes
please help will mark brainliest
Answer:
a, R=P+C
b,$870
Step-by-step explanation:
a if P=R‒C.(to find R you have to know the opposite of ‒C) ( -C≠C)
then add C in two sides
(P+C=R‒C+C)
(P+C=R)
SO the formula is R=P+C
b the given are P=$350,C=$520
R=$350+$520
R=$870
i believe it helps you
Write an equation in slope-intercept form for the line that passes through each pair of points:
(4, -3)(2, 3)
PLS HELP TY
Answer:
y=-3x+9
Step-by-step explanation:
The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below. Don't forget slope is rise over run: subtract the y-values in the numerator to get the rise and subtract the x-values in the denominator (in the same order!) to get the run. Once you know the slope (m), you're halfway there. Now all that's left to find is the y-intercept (b). To find the y-intercept, choose one of the points on the line. It does not matter which point you choose (just pick the one that looks easiest to you). Plug in the values for x and y into the equation and solve for b.
Jenny solved the equation 1 – (2x + 4) = -4x + 5. Her work is shown below.
1-(2x+4)=-4x+5
Step 1: 1-2x+4=-4x+4
Step 2: 5-2x=-4x+5
Step 3: 2x=0
x=0
Identify Jenny’s error in solving the equation. Explain.
The correct value of x is 4.
It is required to find the solution.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
The equation is
1 – (2x + 4) = –4x + 5,
we have to find the correct solution of the equation;
According to given question we have,
Step 1: Open the parenthesis we get,
1 – (2x + 4) = –4x + 5
1-2x-4 = -4x + 5
1-4-2x = -4x +5
-3-2x = -4x + 5
Step 2: Collect like terms we get,
-2x + 4x = 5 + 3
2x = 8
Step 3: divide both sides by 2 we get,
2x/2 = 8/2
x = 4
Hence the correct value of x is 4.
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Damon was on his way to a marble tournament when he met Artemio. Damon's bag of marbles was heavy, so he gave Artemio ½ of his marbles plus 2. Then he met Banou and gave her ¼ of his remaining marbles plus 5. Just before arriving at the tournament, he met Alex and gave him ½ of the marbles he had left. When he got to the tournament, he had 2 marbles left. How many marbles did he start with?
Answer: 28.
Step-by-step explanation:
Let's define D = # of marbles in Damon's bag at the beginning.
First, he gave D/2 + 2 marbles to Artemio, so now he has:
(D - D/2 - 2) = (D/2 - 2) marbles left.
Now, he gives 1/4 plus of what he has left plus 5 to Banou, so he gives:
(D/2 - 2)/4 + 5 marbles to Banou.
Then Damon has now:
(D/2 - 2) - (D/2 - 2)/4 - 5 = 3*(D/2 - 2)/4 - 5.
Now Damon gives half of this to Alex, then the amount that he has left is:
(3*(D/2 - 2)/4 - 5)/2
And we know that this is equal to 2, then we can solve this equation as:
(3*(D/2 - 2)/4 - 5)/2 = 2
Let's solve this for D.
(3*(D/2 - 2)/4 - 5) = 2*2 = 4.
3*(D/2 - 2)/4 = 4 + 5 = 9
3*(D/2 - 2) = 9*4 = 36
(D/2 - 2) = 36/3 = 12
D/2 = 12 + 2 = 14
D = 2*14 = 28
Damon initially had 28 marbles.
A local hamburger shop sold a combined total of 490 hamburgers and cheeseburgers on Saturday. There were 60 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
Answer:
315 hamburgurs could be a possible answer
Step-by-step explanation:
Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.
Which number is a rational number?
V 13/16
V9/2
V 34
V 49
Answer:
all of these are rational numbers
Step-by-step explanation:
Estimate. 110×298
30,000
3,000
40,000
2,000
Answer:
it's acually 107,800
Answer:
30,000 yes this is correct
Step-by-step explanation:
i’m so confused help me
Answer:
C
Step-by-step explanation:
D is moving +4 squares up to go to D'' and same goes for the rest of the letters . if it makes sense kinda confusing but trust it's C
3 1/2 as an equivalent fraction with a denominator equal to 12
Answer:
42/12
Step-by-step explanation:
3 1/2 in improper fraction form is 7/2. We can see the denominator in the equivalent fraction is 12. In order for that to happen, the common factor that must have been multiplied is 6. So the numerator of the equivalent fraction should be 42 because:
7 42
___ = ____
2 12
42/12
The answer is [tex]\frac{42}{12}[/tex]
First, you must simplify both sides if the equation.
[tex]\frac{7}{2}=\frac{x}{12}[/tex]
Then, multiply both sides by 12
[tex]42=x[/tex]
[tex]x=42[/tex]
Finally, substitute in 42 for x
[tex]3\frac{1}{2}=\frac{42}{12}[/tex]
Which of the following is the parent function of all absolute value functions?
F(x)=3x
F(x)= |x|
F(x)=2|x|
F(x)=x^2
Answer:b
Step-by-step explanation:f(x)=|x|
4x+12=−2x
easy points plz solve quick!
Answer:
-2
Step-by-step explanation:
Rearrange:4*x+12-(-2*x)=0
Pull out like factors:6x + 12 = 6 • (x + 2)
Solve:x+2=0
Subtract 2 from both sides of the equation:x = -2
Answer:
x = -2
Step-by-step explanation:
4x + 12 = -2x
4x + 12-12 = -2x - 12
4x = -2x - 12
4x + 2x = -2x - 12 + 2x
6x = -12
x = -2
What is the base area of a pyramid with a volume of 72 mº and a height of 12 m?
Round your answer, if necessary to the nearest hundredth.
Answer:
actual answe is root under 2
Which of these equations best describes the line of best fit for the data in the scatter plot on the number of metals the U.S. Olympic team won and the cost to air a commercial during the Olympics?
Answer:
B
Step-by-step explanation:
It's not going negative you can tell by the line it has y-intercept and the last on didn't the other ones have aa negative. If you have a problem with these kinds of equations just do process of elimination and you'll be fine also here's the answer to another question
Write an equation of the line that passes through (1,4) and is parallel to the line y =-5x+2
Answer:
y=-5x+9
Step-by-step explanation:
Answer:
y=-5x+-9
Step-by-step explanation:
If you notice is says that the line HAS to go through (1,4) but if you need it to go through (-1,4) it would be y=-5x+-1
find the measures of angles 3 and 4
Angle 3 is 89 Degrees.
Angle 4 is 91 degrees.
Use Vertical Angles and the Triangle Theorems to help you/
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer: 260
Step-by-step explanation: 39/3 = 13. 13 times 20 = 260.
asap...........Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+8y=-16
Answer:
y=-3/2x-2
Step-by-step explanation: