Answer:Step by Step Solution
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
h*(t)-(16*t^2+192*t)=0
STEP
1
:
Equation at the end of step 1
ht - (24t2 + 192t) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
ht - 16t2 - 192t = t • (h - 16t - 192)
Equation at the end of step
3
:
t • (h - 16t - 192) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : t = 0
Solution is t = 0
Equation of a Straight Line
4.3 Solve h-16t-192 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
Calculate the X-Intercept :
When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000
h-intercept = 192/1 = 192.00000
Calculate the Slope :
Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.125/2.000 = 0.062
Geometric figure: Straight Line
Slope = 0.125/2.000 = 0.062
h-intercept = 192/1 = 192.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
t = 0
Step-by-step explanation:
Given m|n, find the value of x. (6x-9) → (5x+10)
__________
[tex] \: [/tex]
6x - 9 = 5x + 10
6x - 5x = 10 + 9
x = 19✔
A line passes through the point (2, 4) and has a slope of -5/2
Answer:
y = -5/2 + 12
Step-by-step explanation:
help pls what's the answer if I subtract these ?
[tex] \frac{4}{5} [/tex]
-
[tex] \frac{3}{8} [/tex]
Answer:
[tex] \frac{17}{40} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5} - \frac{3}{8} [/tex]
First, find the common denominator
So we multiply 4 by 8, and get 32
Then we multiply 3 by 5, and get 15
Next we give both terms new denominators 5 × 8 =40
So now our fractions look like this:
[tex] \frac{32}{40} - \frac{15}{40} [/tex]
Now...that our denominators match we can simply
subtract the numerators
32 − 15 = 17
Thus the answer is:
[tex] \frac{17}{40} [/tex]
Hope this helped you- have a good day bro cya)
Helpppppppp please it’s due today
Answer:
Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)
Graph the linear equation y = -2x -1
(hope this helps) :)
Step-by-step explanation: in the picture
please give me a brainliest answer
These triangles are similar. Find the missing
length.
Answer:
h=57
Step-by-step explanation:
The triangles seem to have a pattern, which is that the numbers on the left are multiplied by 1.5 to get the numbers on the right. We figured this out by doing 42/28 and 54/36 (which are the corresponding numbers), which would both equal 1.5. Now to find h we would do the opposite of divide which is multiply, we would do 38*1.5 and get 57.
Can someone please write the points in a notebook please I really need help
Answer:
Step-by-step explanation:
In a class of 25 students; 15 students like Mathematics, 6 like English and 4
like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.
Help plz
Answer:
3/5
Step-by-step explanation:
we got 15 students who like math in 25 student
the fraction is 15 over 25 , 15/25 , when you simplify by 5 the simplest form gonna be 3 over 5, 3/5nick have collection of 80 cars.3/5 of his toys are bus.the rest are cars and bike.the number of cars are the three time the number of bikes.how many cars are there.
Answer:
24 cars
Step-by-step explanation:
out of 80 toys, 3/5 are buses- 80 * 3/5 is 48 so there are 48 buses
80 - 48 is 32, 32 of the rest of the toys are cars and bikes
we know that there are 3 times as many cars than bikes, so to find out how many cars and bikes there we can do 3n + n, where n is the number of bikes it also equals 4n
32 = 4n; n = 8
there are 8 bikes, so there are 24 cars
Find the value of x.
f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).
[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]
WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four
Answer:
Let the number be x
2x-5=1/2(3x-3)
2(2x-5)=3x-3
4x-10=3x-3
4x-3x=-3+10
x=7
I don't know what I'm am doing....
Each year the local country club sponsors a tennis tournament. Plays starts with 128 participants. During each round, half of the players are eliminated. How many players remain after five rounds?
Answer:
128 divided by 2 for 5 times is your answer enjoy my.kiddo
Determine whether the graphs of the equations are parallel, pependicular, or neither.
1
y = 1/3X + 2
y = 3x - 5
A. parallel
B. perpendicular
C. neither
Answer: perpendicular
Step-by-step explanation: You can do this (of course, you have to know the equations of the pairs of lines under consideration);
For each equation, put in form y = mx + b and compare their slopes (values of m).
If the m's are equal, the two lines are parallel;
if the product of the two m's equals -1, the two lines are perpendicular.
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (6,9)² + (5,3)²
x² = 47,61 + 28,09
x² = 75,7
x = 8,7yd✔
if two angle of a right angle triangle are in the ratio 1:2,find them
Answer:
let the angles be x,2x
=>90+x+2x=180
=>3x=90
=>x=30
so, the angles are 30,60
let the angles be x,2x
=>90+x+2x=180
=>3x=90
=>x=30
so, the angles are 30,60
Two cyclists begin from the same point and are traveling in opposite directions on a circular bike trail that is 5 miles long. Once cyclist travels at 12 miles per hour, and the other travels at a rate of 18 miles per hour. How far did cyclist A travel?
Answer:
three cytliys and six ka
Step-by-step explanation:
hope it hlp you
For BRAINILY
Please answer fast
Answer:
37
Step-by-step explanation:
S+S+106⁰=180⁰(sum of angles of triangle)
2S=180⁰-106⁰
S=74⁰/2
S=37⁰
solve for x on both
1. -1-3x+7x=17
2. 4x-5+7x=-10
(please show your work if possible:)
Step-by-step explanation:
1. -3x+7x=18
x(-3+7)=18
x=[tex]\frac{18}{(-3+7)}[/tex]
2. 4x+7x=-5
x(4+7)=-5
x=[tex]\frac{-5}{(4+7)}[/tex]
I hope this helped, may be wrong but ive done it my way
someone assist me please thank you
Answer:
I am pretty sure thats acute triangle but not 100%
Evaluate. -1/4(d+1) < 2
Please show how
Answer:
-1/4 (d+1)< 2
(d+1) × -1 < 2×4
(d+1) × -1 < 8
-d - 1 < 8
-d < 8 + 1
-d < 9
d > -9
d = { -8, -7, -6....., 0, 1, 2, 3, 4,....}
Step-by-step explanation:
brainliest plz
What is the slope of the line graphed below
Answer:
mx + y = c slope = - 4 and y - intercept = 2 , then the equation of line is mx + y = c .
Step-by-step explanation:
If I am wrong sorry If I am right mark me brainliest
dbtnjjj5ygjhts2hjuuujjhjj
Answer:
thanks for the points........
Answer:
wt f ok?
Step-by-step explanation:
Solve for x: 16 = x + 32
Answer:
Step-by-step explanation:
-16
Answer:
x= -16
Step-by-step explanation:
Encuentre el valor de x en la siguiente ecuación 6x = 4x + 6
Answer:
[tex]6x = 4x + 6 \\ 6x - 4x = 6 \\ 2x = 6 \\ x = \frac{6}{2} \\ \boxed{x = 3}[/tex]
Answer:
x = 3
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents
Answer:
5 inches
Step-by-step explanation:
60÷12=5 cents ( 1 inches of wire )
25÷5=5 inches
Write the Prime Factorization of the following Numbers:
(a) 10
(b) 37
(c)25
Christopher buys 3 pizzas for £13.56. If all of the pizzas are the same price, how much does one pizza cost? Give your answer in pounds (£).
Answer:
£4.52
Step-by-step explanation:
£13.56/3
need help dont understand it
Answer:
It is Linear Increasing.
Step-by-step explanation:
If it is a straight line, it is a linear function. if it is NOT a straight line, then it is a non-linear function.
Edit: When the line starts from the top of the y-axis, then it is decreasing. If the line starts from the Origin Point (as shown in the picture you included), then it is increasing. I hope this helps you in Linear and Non-linear relationships.
Which angle in the isosceles triangles is the biggest?
Answer:
Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°.
Answer:
degrees
Step-by-step explanation: