Answer:
Step-by-step explanation:
width= x
length= x+6
perimter = 2x+ 2(x+6)
36= 2x+ 2x+ 12
36= 4x + 12
36-12= 4x
4x= 24
x= 6
therefore width= 6cm
length= 6+6 = 12
Write three expressions that are equivalent to 8x + 16.
Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D
What is James's spendable income this pay period? (use pay stub) *
1 point
$709.74
$1000.00
$797.48
Solve for c.
-2.2 - 0.1c = -1.9
Answer: c = _____
Answer:
c = -3
Step-by-step explanation:
-2.2 - 0.1c = -1.9
-0.1c = 0.3
c = -3
Hopefully this helps!
Brainliest please?
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve for x: 7x = 4x + 27
x =
Answer:
x = 9
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
[tex]7x - 4x = 4x + 27 - 4x[/tex] [tex]3x = 27[/tex]Step 2: Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{27}{3}[/tex] [tex]x = 9[/tex]Step 3: Check if solution is correct.
[tex]7(9) = 4(9) + 27[/tex] [tex]63 = 36 + 27[/tex] [tex]63 = 63[/tex]Therefore, x = 9.
The path of a baseball is given by the function: f(x)=-0.004x^2 + x + 3
, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Answer the following questions completely. Justify your answers algebraically.
(a) What is the maximum height reached by the baseball?
(b) If the baseball is not caught, how far from home plate does the ball hit the ground? Round your answer to one decimal place.
Answer:
The initial speed of the ball is 98.22 ft/s
The maximum height of the ball is 75.02 ft.
Step-by-step explanation:
Hi there!
Step-by-step explanation:
The position and velocity vectors of the ball can be calcualted as follows:
r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)
v = (v0 · cos α , v0 · sin α + g · t)
Where:
r = position vector at time t.
x0 = initial horizontal position.
v0 = initial velocity.
t = time.
α = launching angle.
y0 = initial vertical position.
g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).
v = velocity vector at time t.
Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:
x = 300 feet
y = 0
Then, r final = (300 feet, 0)
Notice that the origin of the frame of reference is located at the launching point.
Then, when the ball is caught:
300 feet = x0 + v0 · t · cos α
0 = y0 + v0 · t · sin α + 1/2 · g · t²
We have a system of two equations with two unknowns (t and v0), so, let´s solve it.
Let´s solve the first eqation for v0:
300 feet = x0 + v0 · t · cos α
Since the frame of reference is located at the launching point (x0 = 0). Then:
300 feet = v0 · t · cos 45°
300 feet /( t · cos 45°) = v0
Now, let´s replace v0 in the secod equation of the system:
0 = y0 + v0 · t · sin α + 1/2 · g · t² (y0 = 0)
0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²
0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t² (sin45°/cos45° = 1)
0 = 300 feet - 4.9 m/s² · t²
-300 feet = -4.9 m/s² · t²
-300 feet / -16.08 ft/s² = t²
t = 4.32 s
Now, we can calculate the initial velocity:
300 feet /( t · cos 45°) = v0
300 feet /( 4.32 s · cos 45°) = v0
v0 = 98.22 ft/s
The initial speed of the ball is 98.22 ft/s
To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:
vy = v0 · sin α + g · t
0 = 98.22 · sin 45° - 32.15 ft/s² · t
(-98.22 · sin 45°) / - 32.15 ft/s² = t
t = 2.16 s
(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).
Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).
r1y = v0 · t · sin α + 1/2 · g · t²
r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²
r1y = 75.02 ft
The maximum height of the ball is 75.02 ft.
I need help I don't understand.
Answer:
x=6
Step-by-step explanation:
I have 47 questions I posted going to post the second if you answer all the I give you 100 points and brainlist
Answer:
1. 245
2. Rational Number
3.integers
4. false
5.square root
Step-by-step explanation:
PLEASE HELP!!! ASAP: Decide whether there is enough information to prove that m || n. If so, state the theorem you would use.
Answer:
Alternative Interior Angles Converse
Step-by-step explanation:
The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.
The pair of angles are Alternate exterior Angle.
What are Parallel lines?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
From the Figure we can see that m is parallel to n.
and, from the property of parallel line we get the following equal angles
Vertical AnglesCorresponding AngleAlternate Interior Angle.Alternate exterior Angle.As, from the figure the pair of angles are Alternate exterior Angle.
Learn more about Parallel line here:
https://brainly.com/question/16701300
#SPJ2
Which angles are alternate interior angles?
Answer:
<SRU and <TUW
Step-by-step explanation:
They are on opposite ends which makes them alternate interior angles
PLZ ANSWER WILL GIVE BRAINLYEST!!!!
What are the x and y-intercepts of the line described by the equation?
3x−9y=10.8
Question 2 options:
x-intercept = 1.2
y-intercept = -3.6
x-intercept = -1.2
y-intercept = 3.6
x-intercept = -3.6
y-intercept = 1.2
x-intercept = 3.6
y-intercept = -1.2
Answer:
x-intercept = 3.6
y-intercept = -1.2
Step-by-step explanation:
If Kamina can do a job in 43 hours and Simon and Kamina working together can do the same job in 15 hours, find how
long it takes Simon to do the job alone.
hours
Answer:
Answer:
645/28 hours
Step-by-step explanation:
In 1 hour, Kamina does 1/43 of the job.
Simon takes x hour to do the job alone.
In 1 hour, Simon does 1/x of the job.
Together, they do the job is 15 hours, so in 1 hour, they do 1/15 of the job.
1/43 + 1/x = 1/15
15x/(645x) + 645/(645x) = 43x/(645x)
15x + 645 = 43x
28x = 645
x = 645/28
Explain why there is not enough information to state that CP is the perpendicular bisector of AB.
Answer:
First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.
Step-by-step explanation:
A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.
-kiniwih426
PLEASE ANSWER ASAP
i can't figure out the answer
A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches. If the area of the photograph is 112 square inches, what is the width of the photograph?
The width of the photograph is __inches.
a data set has these values: 8,10,10,12,12,12,14,14,16.The histogram of the distribution is shown. Which statement does not describe the data set shown?
Answer:
it has a range of 17
Step-by-step explanation:
I just took it
I will give Brainliest :)
Answer:
Step-by-step explanation:
can anyone heelp me pls pls
Answer: liquid= lotion capsule= solid suspension=semisolid
Step-by-step explanation:
Can someone pls help me I really need help in here.. PLS…
And if u can explain how you make it I will appreciate it,. Thank u:(((
Answer:
So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.
So for 3.25 and 3 1/2
3 1/2 is greater
3.25 < 3 1/2 (so it should look like this when the symbol on that side)
and for -4.5 and -4.05
-4.05 is greater.
-4.5 < -4.05 (so the symbol is also on that side.)
solve the inequality 2x + 3 < 7
A. x < 2
B. x > -2
C. x < -2
D. x > 2
Answer:
A. x < 2
Step-by-step explanation:
solution:
=2x<7-3
=2x<4
=x<2
A line has a slope of 1 and passes through the point (-8, -7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer: y = x + 1
Step-by-step explanation:
y = 1x + c
-7 = 1(-8) + c
-7 = -8 + c
-7 + 8 = c
1 = c
y = 1x + 1 or
y = x + 1
Answer:
y+8=m(x+7)
hope this helps:
I used this formula y-y1=m(x-x1)
6. Which of the following is the improper fraction for the mixed fraction 2 5/3
Answer:
[tex]\frac{11}{3}[/tex]
Step-by-step explanation:
Multiply the denominator by the whole number, then add the numerator.
3 × 2 + 5 = 11
Keep the denominator.
[tex]\frac{11}{3}[/tex]
Answer:
11/3
Step-by-step explanation:
1. To change a mixed number into an improper fraction, multiply the whole number with the denominator of the mixed number. Then, add the numerator of the fraction to the product to get the numerator of the improper fraction. Remember to keep the denominator the same.
2. Given the information above:
[tex]3 * 2 = 6[/tex] [tex]6 + 5 = 11[/tex] 11 = numerator, denominator = 3improper fraction: 11/3Therefore, the answer is 11/3.
What do you already know about credit cards?
Answer:
A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.
Step-by-step explanation:
If x=8, find the value of y in the equation 4x-2y=28
Answer:
The answer is 2
Step-by-step explanation:
[tex]4x - 2y = 28 \\ 4 \times 8 - 2y = 28 \\ 32 - 2y = 28 \\ 32 - 28 = 2y \\ 4 = 2y \\ devided \: by \: 2 \\ then \\ y = 2[/tex]
A supermarket advertises a new product by offering samples to customers. The table shows the number of samples distributed each hour. At what rate does the supermarket distributes samples?
Answer:
38 samples an hour, next time taken the first two numbers in the table and divide the one on the right by the one on the left
0.35 x 9 = 3.15
Is this an overstatement understatement
[tex]over \: \: statement \: \\ \\ 0.35 \times 9 = 3.15 \\ \\ multiply \: 0.35 \times 9 \\ 3.15 = 3.15 \\ \\ so \: the \: answer \: is \: \: overstatemnt \\ \\ hope \: \: it \: \: helps[/tex]
A farmer sold did he sell? of his sheep. His original flock was 300 sheep. How many sheep did he sell?
all of his sheep
Hope that helps :)
True or false
Quotient x Remainder + Dividend - Divisor
Why is 100 4 tens and 14 tens
Answer:
That's false.
Step-by-step explanation:
4 tens would be 40 added together, and 14 tens would be 140 all together.
Write an inequality to represent this situation (1 point):
Jake earned more than $49 dollars.
The inequality that represents the situation is:
[tex]E_J > 49[/tex].
Jake earnings are unknown, so it is going to be represented by a variable, that we are going to call it [tex]E_J[/tex].His earnings are of more than 49 dollars, that is, [tex]E_J[/tex] is greater than $49, which means that the following inequality models this situation:
[tex]E_J > 49[/tex].
A similar problem, also involving an inequality built to represent a situation, is given at https://brainly.com/question/22312773
A kennel charges $15 per day board dogs. Upon arrival, each dog must have a flea bath that costs $12.
Part A: Write a function rule for the total cost for n days of boarding plus a bath.
Part B: How much does a 10-day stay cost?
Part C: Does a 5-day stay cost half as much as a 10-day stay? Explain.
What I Think:
I think the function rule is C=15+12n.
10-day stay cost: 135
5-day stay: 75. No, a 5-day stay does not cost half as much as the 10-day stay.
Is this correct???
Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!
