Answer:
Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line is
Step-by-step explanation:
Given:
To Find:
Equation of line passing through ( 16, -7) and is perpendicular to the line
Solution:
...........Given
Comparing with,
Where m =slope
We get
We know that for Perpendicular lines have product slopes = -1.
Substituting m1 we get m2 as
Therefore the slope of the required line passing through (16 , -7) will have the slope,
Now the equation of line in slope point form given by
Substituting the point (16 , -7) and slope m2 we will get the required equation of the line,
Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line is
fountains, each of which can launch a vertical stream of water to a different height, as indicated in the table below. Model A Model B Model C
height 77 100 240
time to fall (s) 2.194, ----, ----
initial velocity 70.2 , ----, 123.9
complete the following tasks, filling in the missing values in the table as you find them:(1)Find the time water would take to fall from each height in the table back to its starting level.(2)Find the initial upward velocity required for fountain B to launch the water to its maximum height(3)Create a function that will give you the minimum initial upward velocity ,v ,required to launch water to any given height , h. thank you
I am only in the seventh grade so it might not be right, but this is what I would do:
Set up a proportion: 77/2.194/70.2 = 100/x/y = 240/z/123.9
Then solve for x: if 77 equals 100, that means 2.194 is 77% of x. So x equals 2.849350649
*the 350649 repeats
Then solve for y: Like mentioned before 70.2 is going to only be 77% of y, so if you set that up in a proportion, it is: 70.2/77 = y/100. So when you solve you get 91.16883116883117...
Then finally we solve for z: 100 is only 41.6% of 240, so that means 2.849350649 is only 41.6% of z. So then we set it up as a proportion: 141.6/100 = z/2.849350649, then we solve. It equals 4.034680518984.
Sorry if my answer was redundant, but hope this helped!
Answer:
The FitnessGram Pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter Pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal *boop*.
Step-by-step explanation:
Answer:
The Grammy Award, or just Grammy, is an award presented by the Recording Academy to recognize achievements in the music industry. The trophy depicts a gilded gramophone. The annual presentation ceremony features performances by prominent artists, and the presentation of those awards that have a more popular interest.
824,000
8,240,000
82,400,000
Answer:
Option 3 -
Step-by-step explanation:
Given : Number -
To find : Re-write the number into standard notation?
Solution :
Standard notation in the expansion of scientific notation.
Scientific notation
means 10 with 6 zeros i.e. 1000000
So,
Removing decimal,
Therefore,
So, Option 3 is correct.
x = four plus or minus the square root of eleven
x = negative four plus or minus the square root of five
x = four plus or minus the square root of five
Answer:
Option 2
Step-by-step explanation:
We have been given a quadratic equation
First step in completing method square is to make the coefiicient of 1
Since, in given quadratic equation coefficient of is already 1. we will proceed to the next step which is add and subtract square of the half of coefficient of x in given quadratic equation.
Here, half of coefficient of x that is 8 would be 4 so we will add and subtract in given quadratic equation we will get
Now, we will proceed to the third step that is making the whole square formula according to the terms
Here, we can see that we are geeting the formula of from
The equation will become
After simplifying we will get
After further simplification we will get
After more simplification we will get
Hence, we will get the value of x which is
The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11
Option B is the correct answer.
We have,
To solve the quadratic equation x² - 8x + 5 = 0 using the
completing-the-square method, follow these steps:
Move the constant term (5) to the other side of the equation:
x² - 8x = -5
Take half of the coefficient of the x-term (-8) and square it:
(-8/2)² = 16
Add the squared value to both sides of the equation:
x² - 8x + 16 = -5 + 16
x² - 8x + 16 = 11
Rewrite the left side of the equation as a perfect square:
(x - 4)² = 11
Take the square root of both sides, considering both positive and negative square roots:
x - 4 = ±√11
Solve for x by adding 4 to both sides:
x = 4 ± √11
Therefore,
The solution to the quadraticequation x² - 8x + 5 = 0, using the completing-the-square method is x = 4 ± √11
Learn more about equations here:
#SPJ6
Answer:
93
Step-by-step explanation:
The average is calculated as
average =
On 3 quizzes
= 73 ( multiply both sides by 3 )
sum = 219
On 4 quizzes, letting x be the score on fourth test
= 78 ( multiply both sides by 4 )
sum + x = 312 , that is
219 + x = 312 ( subtract 219 from both sides )
x = 93
She must score 93 on the next quiz