I think before we get to this answer we need to understand how roots of a quadratic equation works.
When a quadratic equation have 2 real roots such as a/b and c/d we can write the quadratic equation in factored form like this y or 0=(bx-a)(dx-c)
In this case we know the 2 roots are 5 and 2/3 and one of the factors is already x-5. so the other one according to the equation above that I wrote have to be 3x-2 and therefore the 3rd choice is correct.
Hope this helped you and if there is any questions about this please let me know in the comments.
Sheila is flying a kite with a string that makes a 59-degree angle with
the sand. If the height of the kite above the ground is 97 feet, how
long is the string? (Please use the exact ratio to calculate the missing
side and round your answer to the nearest hundredth.)
Answer:
113.16 feet
Step-by-step explanation:
Representing the given details appropriately with a right angle triangle. Let the length of the string for the kite be represented by x. Applying required trigonometric function, we have:
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]59^{o}[/tex] = [tex]\frac{97}{x}[/tex]
x = [tex]\frac{97}{Sin59^{o} }[/tex]
= [tex]\frac{97}{0.8572}[/tex]
= 113.1591
x = 113.16 feet
Thus, the string for the kite is 113.16 feet long.
Do the following lengths form a right triangle?
Answer:
2 3 4 do, 1 does not
Step-by-step explanation:
Using the Pythagorean Theorem, we can see that the square of the 2 smaller sides, when added together, is equal to the square of the longer side of each of the example triangles.
the sum of two consecutive multiples of 4 is 36 . find the multiples ???
PLZZZZZZZZZ help me now
Answer:
The numbers are 16 and 20
Step-by-step explanation:
Let the multiples be: x+4 and x+8
Sum is 36, so we can make an equation:
x+4+x+8=36
2x=36-12
x=12
The numbers are 12+4=16, 12+8=20.
Hope this answer helped you! If so, please leave a rating and let me know if I was correct. (Hopefully Brainliest, but totally up to you.) Have a great day!
Mr. Mika paid a total of $150 to rent a room at a hotel for two nights. The table shows information about four other
guests who rented rooms at the hotel.
Hotel Bills
Number of Nights
Room Was Rented
Total Amount
Paid
Guest
1
6
$450
II
3
$225
III
8
$600
IV
5
$360
Which guest did NOT pay the same nightly rate that Mr. Mika did?
Answer:
Well, one night at the hotel equals $75.
Step-by-step explanation:
All you have to do is mulitlpy the nights by $75.
The last one is wrong it should be
5 nights = $375.
Hope this helps! Bye
Samantha is a school leader. She wants to decide whether makeup should be allowed in school or not? So she collected random samples of 200 girls regarding girl's make up preference. There are 650 girls in her school.
Answer:
What's the question? Did not understand.
Mariana is painting her new bedroom purple. She has decided to mix her own purple paint. To create the shade of purple she likes best, she must maintain a ratio of 5 ounces red to 6 ounces blue. If she has 21 ounces of blue paint, how much red paint will she need?
Answer:
Red paint needed = x = 17.5 ounces
Step-by-step explanation:
Ratio of red to blue paint = 5 ounces : 6 ounces
If she has 21 ounces of blue paint, how much red paint will she need?
Ratio of red to blue paint = x ounces : 21 ounces
Equate the ratios
5 : 6 = x : 21
5/6 = x/21
Cross multiply
5*21 = 6*x
105 = 6x
x = 105/6
x = 17.5 ounces
Red paint needed = x = 17.5 ounces
What is the answer to 2 + n = 16
Answer:
Original Equation: 2+n=16
Subtract 2 from both sides: 2+n-2=16-2
Simplify: n=14
Hope this helps!
Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determine the measure of ALL unknown angles in the figure below.
Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
B. Decide whether each quantity is constant or variable
1. The number of eggs in a dozen. 2*12 = 24 eggs
.
2. The number of a person's heartbeat per minute. 12d
3. The number of minutes in an hour.
4. The length of a meter.
5. The number of enrollees in your school each year.
maayos na sagot po...
Answer:
ituturo ko ang sagot pero follow me muna sa brainly
f(x)=3? What is the input value
Answer: (The explanation is in the image)
You might need to zoom in on it to see
Hello person could you possibly help me with this question?
Answer:
1)whole numbers
2)integers
3)rational numbers
Evaluate the function when x=−2, 0, and 5.
g(x)=3x−2
g(−2)=
g(0)=
g(5)=
I'm very confused, please help!
Answer:
Step-by-step explanation:
g(x)=3x−2
g(−2)= 3(-2) - 2 (after substituting -2 for x): g(-2) = -6 - 2 = -8
g(0)= 3(0) - 2 = -2
g(5)= 3(5) - 2 = 13
How would you solve this problem?
Answer:
x = 47
Step-by-step explanation:
The exterior angle is the sum of the opposite interior angles for a triangle
2x-2 = x + 45
Subtract x from each side
2x-2 -x = x+45-x
x-2 = 45
Add 2 to each side
x-2 +2 = 45+2
x = 47
Answer:
47 degrees
Step-by-step explanation:
Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:
[tex]2x-2=x+45\\x=47[/tex]
Test Scores. You are taking a math test in which items in part A are worth 10 points and items in part B are worth 15 points. It takes 3 min. to complete each item of part A and 6 min. to complete each item in part B. The total time allowed is 60 min. and you do exactly 16 questions. How many questions of each part did you complete? Assuming that all your answers were correct, after all you had a GREAT Math Teacher, what was your score?
Answer:
465 is the total points he got and he solved 14 in part A and 2 in part B
hope it helps you
mark me as brainlist
thank you
Plsss I need help !!!!
Answer:
acute
Step-by-step explanation:
Answer:
Acute triangle.
Explanation:
All sides are under 90 degrees.
A bit of help if you need it:
Acute: all sides are under 90 degrees
Right: One side is 90 degrees
Obtuse: One side is above 90 degrees
pls help , will mark branliest
A
C
B
ZABC is a right angle which is bisected by
BD.
mZDBC = [?]°
The Measure of <DBC is 45 degree.
What is Line Bisector?When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.
Given:
<ABC = 90 degree
As, BD is bisector for < ABC.
Then, the bisector divides the angle <ABC in two equal parts.
So, <ABC = 2< ABD = 2<BDC
<DBC = 1/2 <ABC
<DBC= 45 degree
Learn more about Line Bisector here:
https://brainly.com/question/2425077
#SPJ2
Please help, will give brainelst to right answer.
Answer:
What do you need help on.
Step-by-step explanation:
What is 0.3709 rounded to 2 decimal places?
Answer:
If its to the left the answer is 1 and if its to the right the answer is 10 i think
Step-by-step explanation:
sorry if its wrong
An online furniture store sells chairs and tables. Each day, the store can ship at most 25 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
9514 1404 393
Answer:
t + c ≤ 25
Step-by-step explanation:
"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.
The shipping constraint can be written as ...
t + c ≤ 25
Find the square root of the number. -4 square root -32 The square root is
Answer:
-32 + 2i.....
yan po Ang sagot ko jan
The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number?
Answer:
just put the words into math:
x+y=15
4x = 2y-60
Now just solve the system for y.
convert the decimal into a reduce fraction.
Answer:
hey i dont really know, but look up calculator soup, it has a ton of different calculators and may be able to help u
Step-by-step explanation:
/
An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.
Part A
Write an equation that could be used to calculate the number of weeks, w, it would take a baby elephant to weigh 1197 lbs.
Part B
How many weeks will it take for the baby elephant to weigh 1197lbs?
Enter your equation, your answer, and your work or explanation in the space provided.
Answer:
Part A: W= (1197- 209)/ 38
Part B: 26 Weeks
Step-by-step explanation:
Part A:
We first need to subtract the 209lbs from the goal of 1197lbs. Now we have how many pounds we need to gain. Then we need to divide it by how many pounds we are gaining a week. Now we have how many weeks it will take
Part B:
W= (1197- 209)/ 38
W= 988/ 38
W= 26
Please help will give brainliest!
Answer:
Should be 1 if im not wrong Then Mark Me brainliest
Step-by-step explanation:
a negative times a neg equals a posative
Neg x pos = neg
pos x neg = neg
pos x pos = pos
neg x neg = pos
so if there greater then over neg<, >,=
You would look at the problem for given f(x)=
x → -1 and neg times neg more or less
-1 x -1 = 1
Pls help fast!!
Andrew is buying a new bike. The bike shop is having a special discount of 25% off all bikes. The bike Andrew wants usually sells for $550. What will be the final
price of the bike, including 6% sales tax? Be sure to write all answers to the nearest hundredth.
Discount Amount:
Tax Amount:
Final price:
Anybody good in geometry?
Answer:
A) <6, 2>
Step-by-step explanation:
Moves along x-axis to the right six units. Moves along y-axis upward two units.
Answer:
which vector translated the triangle to its image?
A. < 6 , 2 >
The measure of an angle is 89. Find the measure of its supplement
Step-by-step explanation:
Supplementary angles are equal to 180°. To determine the supplement of any angle, subtract the given angle from 180°.
[tex] \text{Supplement \: of \: 89 \: \degree = 180 \degree - 89\degree = \boxed{ \bold{ \text{91\degree}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
# [tex] { \underbrace{ \text{Carry \: On \: Learning}}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
tysm for whoever helps !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
21
Step-by-step explanation:
When you simply the fractions down, you will get this
[tex]16 + 5 = 21[/tex]
Hope this Helped
need help solving..........
Answer:
Angle A always equal angles T
the first answer
Answer: sry i dont know
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
39
(9x-3)
Answer:
23.56
Step-by-step explanation:
i thin if not then 13,67
