Step-by-step explanation:
These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.
Write the equation of a cubic function f(x) that has zeros x = –3, x = –1 and x = 2. Please show work
Answer:
f(x) = (x +3)(x +1)(x -2)
Step-by-step explanation:
When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.
__
The three zeros give rise to a polynomial with three factors:
f(x) = (x -(-3)) · (x -(-1)) · (x -2)
f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function
__
This can be expanded using the distributive property.
f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6
f(x) = x³ +2x² -5x -6 . . . . . standard form
In quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
Answer: 35, 35, 70, and 220
Step-by-step explanation:
– Let x = size of one of the two equal angles
The sum of angles in a quadrilateral is 360:
360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)
360 = 4 + 2(4 ) – 60
360 = 4 + 8 – 60
360 = 12 – 60
12x = 420
= 35
Substituting x for 35, will get: 35, 35, 70, 220
The values of the angles are 35°, 35°, 70° and 220°
d) The phys-ed. department bought a total
of 27 bats and balls for the baseball team.
Three times the number of bats minus
the number of balls is 21. Find the
number of bats and balls.
Can anyone pls draw the reflected shape for the middle one the lines are mirror lines 50 points for this
Step-by-step explanation:
All drawn are correct except the middle one you need to draw down the shape size of given parallelogram
Just count the diagonal from each of the to the line and draw the points
The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?
Answer:
take a common ratio which is 3 then from general thterm of G.P whose Gn=G1r^n-1 then G8=2×3^7=2×2187=4374 therefore G8=4374
$9,000 is invested in a stock that loses 3%/yr on average. What is its worth after 6 years? Value:
The prime factorization of 100 is 4 X 25. Show a
factor tree!
Answer: hope this helps
Step-by-step explanation:
2. How many lines of symmetry does this shape have?
Answer:
it has three lines of symmetry
Step-by-step explanation:
Answer:
one line of symmetry
Step-by-step explanation:
what’s the volume 9m,8m,9m
Answer:
9 x 8/2 = 36 l 36 x 9 = Volume
Step-by-step explanation:
we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.
hope this helps :D have a good night!
Ramesh lent a loan of Rs 1800 to Suresh at a rate of interest for 2 years. At the end of period Suresh refunded him a total of Rs 2232. At what rate of interest had Ramesh lent the loan? Ans: 12%
Answer:
12%
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = Rs 2232P = 1800t = 2Substitute given values into the formula and solve for r:
⇒ A = P(1 + rt)
⇒ 2232 = 1800(1 + r · 2)
⇒ 1.24 = 1 + r · 2
⇒ 0.24 = 2r
⇒ r = 0.12
Convert into percentage:
0.12 = 12/100 = 12%
Which of the following is the best estimate for the mass of an adult rabbit?
2g, 3 kg, 200 g,
200 g, 40 kg, 50g
Answer:
50 g
Step-by-step explanation:
[30 PTS!!] Using mathematically precise language, explain in detail how you would multiply the complex number [tex]z_1=r_1(cos[/tex]θ[tex]_1+i sin[/tex]θ[tex]_1)[/tex] with the complex number [tex]z_2=r_2(cos[/tex]θ[tex]_2+isin[/tex]θ[tex]_2)[/tex].
Multiplying z₁ and z₂ involves calculating their products
The product of z₁ and z₂ is r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))
How to multiply the complex numbers?The numbers are given as:
z₁ = r₁(cosΘ₁ + isinΘ₁)
z₂ = r₂(cosΘ₂ + isinΘ₂)
The product is represented as:
z₁ * z₂ = r₁(cosΘ₁ + isinΘ₁) * r₂(cosΘ₂ + isinΘ₂)
This gives
z₁ * z₂ = r₁r₂(cosΘ₁ + isinΘ₁) (cosΘ₂ + isinΘ₂)
Expand
z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂ + i²sinΘ₁sinΘ₂ )
In complex numbers,
i² = -1.
So, we have:
z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂ - sinΘ₁sinΘ₂ )
Rewrite as:
z₁ * z₂ = r₁r₂(cosΘ₁cosΘ₂ - sinΘ₁sinΘ₂ + icosΘ₁sinΘ₂+ isinΘ₁cosΘ₂ )
Apply sine and cosine ratios
z₁ * z₂ = r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))
Hence, the product of z₁ and z₂ is r₁r₂(cos(Θ₁ + Θ₂) + isin(Θ₁ + Θ₂))
Read more about complex numbers at:
https://brainly.com/question/10662770
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
8
Step-by-step explanation:
[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]
subtract 36 from each side
[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]
or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.
The following graph shows the low temperatures for the past six nights. What was the low temperature for Saturday?
Answer:
31° F
Step-by-step explanation:
Although it is hard to see, Saturday's low temperature is approximately 31°. This is evident in its relative position to Friday's temperature, which measures 30° F -- Saturday is just one degree higher.
Hope this helps!
Answer:31
Step-by-step explanation:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the guy wire. After placing the pole, Marques measures the distance from the stake to the pole to be 3 ft. He then measures the distance from the pole to the tower to be 22 ft. Find the length of the guy wire, to the nearest foot.
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
How to solve the length?Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
Can you explain how you got your answer?
credit card cash advance
borrow: $300
rate: 18% per year
time: 6 months-,5
300
6
Answer:
Assuming the question is how much interest you will pay in the given time frame with the given terms.
Step-by-step explanation:
Borrowed $300
18% per yr = 18/12 = 1.5% per month
You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest
$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.
Total $327.
If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.
The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.
I need help with this
Answer:
75%
Step-by-step explanation:
It's over 50% and it's definitely not 100%
Solve this system of equations:
y = x2 – 3x + 12
y = –2x + 14
1.Isolate one variable in the system of equations, if needed.
y = x2 – 3x + 12
y = –2x + 14
2.Use substitution to create a one-variable equation.
–2x + 14 = x2 – 3x + 12
3.Solve to determine the unknown variable in the equation.
What are the values of x?
{–2, 1}
{–2, 4}
{–1, 2}
{–1, 4}
Answer:
C. { - 1, 2}Step-by-step explanation:
The first two steps solved and the last step to be performed
Solve the quadratic equation
x² - 3x + 12 = - 2x + 14x² - 3x + 2x + 12 - 14 = 0x² - x - 2 = 0x² - 2x + x - 2 = 0x(x - 2) + (x - 2) = 0(x - 2)(x + 1) = 0x - 2 = 0 ⇒ x = 2x + 1 = 0 ⇒ x = - 1The solution is:
{ - 1, 2}Correct choice is C
Solving from step 3
-2x+14=x²-3x+12x²-3x+2x-2=0x²-x-2=0(x-2)(x+1)=0x=2 or -1Option C
Find the center and radius of the circle represented by the equation below.
(x + 5)² + (y – 5)² = 225
1
Center:
Radius:
Answer: the center is (-5, 5) and the radius is 15
Step-by-step explanation:
the standard form of a circle is
(x-h)^2 + (y-k)^2 = r ^2 where h is the x coordinate and k is the y coordinate of the center of the circle
(h,k) = the center of the circle
r = radius
therefore,
(x+5)^2 + (y-5)^2 = 225 means that x has to be -5 since subtracting a negative creates a positive and y must be 5 as it is negative in the equation
think of it as making the sum/difference 0 within the parentheses:
(x+5) -5+5 = 0 so x=-5
(y-5) 5-5 = 0 so y =5
so the center of the circle is (-5,5)
the radius is simply 225 square rooted which is 15
hope this helps :)
How many 5-digit numbers contain at least one 3?
Answer:
37,512
Step-by-step explanation:
Total # of 5 -digit numbers =9×104=90,000
Total # of 5 -digit numbers that do not contain 3=8×94=52,488
Total # of 5 -digit numbers that contain at least one 3=90,000−52,488=37,512
PLSSSSS HELP, PLS HELP, WILL MARK BRIANLIEST IF YOU HELP!!!!!
Answer:
the answer is B.
Step-by-step explanation:
Gabby has a goal to finish covering the field before 12 hours have
elapsed. She will use any remaining time to water the field. After 1 hour
has elapsed, she has covered 4,000 square yards of the field.
Explain why Gabby will be able to meet her goal by working at this rate. As
part of the explanation, determine the amount of time, in hours, Gabby
will have to water the field.
Please help! You can do ittt! Offering brainliest+ 20 points!
Answer: question 9 is 3/12
Step-by-step explanation:
The Speed of the machine boat is 150 km per hour. How far does the machine boat go in five and a half hours?
Answer:
825km
Step-by-step explanation:
150km/h= distance/11/2 hours
150km/h divide by 11/2 hours
=825km
Answer:
825km
Step-by-step explanation:
We have the rule: speed=distance/time
in this question you are asked to calculate the distance covered by the machine boat.
so we deduce from the above rule: distance=speed*time
Given: speed=150km/hr time=5.5hr distance=??
Solution: distance=150x5.5 = 825km
Calculate the side lengths using the given scale.
Someone please help me!!
Answer:
x = 12 cm
y = 2 cm
Step-by-step explanation:
Length is G are 3 times the lengths in H.
Lengths in H are 1/3 the lengths in G.
x = 3 × 4 cm = 12 cm
y = 6 cm / 3 = 2 cm
what is complement of cot 30°?
Step-by-step explanation:
cot ( 90⁰ - 30⁰ )
cot (90 - √3)
√3 - 90
Express the following ratio: 20 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
5 inches : 6 inches
Step-by-step explanation:
20 inches : 2 feet
Use Hint: 1 feet = 12 inches
20 inches : 2·12 = 24 inches
Find the simplest form of 20 inches : 24 inches
20 inches : 24 inches , divide both numbers by 2
10 inches : 12 inches, divide both numbers by 2 again
5 inches : 6 inches
h(t)=50− 5th, left parenthesis, t, right parenthesis, equals, 50, minus, start fraction, t, divided by, 5, end fraction
h(35)=h(35)=
Answer:
H(t) = 50 - t/5
h(35)=50-35/5
=50-7
=43
h(35) = 43