Answers
Answer:
kindly using which rule?
Answer:
[tex]\boxed{\boxed{\sf x=\frac{\sqrt{217} +2}{3} }\:or\: {\sf\boxed{\sf x=\frac{2-\sqrt{217} }{3} } }}[/tex]
Step-by-step explanation:
[tex]\boxed{\sf Quadratic \:equation}[/tex]
*All equations of the form ax^2+bx+c=0 can be solved using the Quadratic Formula. *
[tex]\boxed{\sf \square \: \:\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
The Quadratic Formula gives two solutions, one when ± is addition and one when its subtraction.
________________________________
[tex]\boxed{\sf 3x^2-4x-71=0}[/tex]
This equation here is in the standard form: ax^2+bx+c=0.
Substitute 3 → a, -4 → b, -71 → c.
[tex]\sf x=\cfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\times \:3\left(-71\right)}}{2\times \:3}[/tex]
→ Square -4, and then multiply -4 × 3= :
[tex]x=\cfrac{-(-4)\pm \sqrt{16+12(-71)} }{2\times 3}[/tex]
Multiply -12 × -71 = 868, then Add 16+852= 868
[tex]\sf x=\cfrac{-(-4)\pm 2\sqrt{217} }{2\times 3}[/tex]
Take the Square root of 868 2√(217).
* the opposite of -4 → 4.
[tex]\sf x=\cfrac{4\pm 2\sqrt{217} }{2\times 3}[/tex]
Multiply 2 × 3 = 6
[tex]\sf x=\cfrac{4\pm 2\sqrt{217} }{6}[/tex]
Now, we'll solve the equation when ± is plus.
→ Add 4+ 2√(217).
→ Divide 4+ 2√(217 ) by 6.
[tex]\boxed{\sf x=\frac{\sqrt{217} +2}{3} }[/tex]
Now, we'll solve the equation when ± is minus.
→ Subtract 2√(217) from 4.
→ Divide 4 - 2√(217) by 6.
[tex]\boxed{\sf x=\frac{2-\sqrt{217} }{3} }[/tex]
_________________________________________
Related Questions
answer this now plz anyone
Answers
Which describes the slope of the line that passes through the points (2, 5) and (-4,5)?
Answers
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-5)/(-4-2)
m=0/-6
m=0
check the pic that i attatched
Answers
Answer:
≈ £ 4584.38
Step-by-step explanation:
Firstly, we need to find the number of litres that Mr. Leonard needs to fill up his tank:
We know that there is already 450 litres in the 1200 litre tank, so he must need 1200 - 450 = 750 litres.
I'm not quite sure what the variable p means, but I'm going to assume that p represents the number of litres and that 81.5 is the price per litre in pounds.
So:
Total price = 81.5p
Total price = 81.5(750)
Total price = £61125
We have to remember though that the question is asking for the discount and not the discounted price, so:
61125 × 7.5%
61125 × 0.075 = 4584.375
≈ £ 4584.38
Multiply −0.54(8) please and thanks.
Answers
And we get: -4.32
Answer:
-.54*8
And we get: -4.32
Step-by-step explanation:
The three side lengths of four triangles are given. Which triangle is a right triangle?
Triangle 1: 13.6.7
Triangle 2: 7.8.13
Triangle 3: 10, 11, 12
Triangle 4: 10.9.8
Answers
Answer:
Triangle 1: 13.6.7
None of the triangles are right triangles.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
For a triangle to be a right triangle, the Pythagorean theorem must be satisfied.
So,
Applying the Pythagorean theorem.
Triangle 1:
13, 6, and 7
13² = 6² + 7²
169 = 36 + 49
169 = 85
Not true.
Triangle 2:
7, 8, and 13.
13² = 7² + 8²
169 = 49 + 64
169 = 113
Not true.
Triangle 3:
10, 11, and 12
12² = 10² + 11²
144 = 100 + 121
144 = 221
Not true.
Triangle 4:
10, 9, and 8
10² = 9² + 8²
100 = 81 + 64
100 = 145
Not true.
Thus,
None of the triangles are right triangles.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ6
What two numbers multiply to 30 and add to -17
Answers
Answer:
-15 and -2
Step-by-step explanation:
Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.
Negative Factors of 30:
-30 + -1 = -31
-15 + -2 = -17
-10 + -3 = -13
-6 + -5 = -11
The two factors of 30 that add up to -17 are -15 and -2.
Hope this helps. Have a nice day.
Decrease £120 by 12.5%
Answers
Answer:
£ 105.
Step-by-step explanation:
Since it is required to decrease £ 120 by 12.5%, to perform this subtraction the following mathematical operation must be performed:
100 - 12.5 = 87.5
100 = 120
87.5 = X
87.5 x 120/100 = X
10,500 / 100 = X
105 = X
Thus, decreasing £ 120 by 12.5% you get a total of £ 105.
The Dragons Soccer Team is having a pizza party and voted on
the toppings the players preferred. Of the 25 players, what
percent prefer cheese?
Answers
Answer:
no enough info
Step-by-step explanation:
Answer:
36%
Step-by-step explanation:
In triangle EFG, the measure of angle E is 97 degrees, and the measure of angle F is 15 degrees. What is the measure of angle G?
Answers
Answer:
Measure of angle G is 68°.
Step-by-step explanation:
In triangle EFG,
Measure of angle E = 97°
Measure of angle F = 15°
By the triangle sum theorem,
Sum of measures of all interior angles of triangle = 180°
m(∠E) + m(∠F) + m(∠G) = 180°
97° + 15° + m(∠G) = 180°
m(∠G) = 180° - 112°
= 68°
Therefore, measure of angle G is 68°.
Subtract: (-9y^6+3)-8y^6
Answers
I hope this helped
How can you solve this equation? 15 = y - 5
A. Subtract 5 from each side.
B. Subtract 15 from each side.
C. Add 5 to each side.
D. Add 15 to each side.
Answers
Answer:
C) add 5 to each sides.
Step-by-step explanation:
1) Add 5 to both sides.
[tex]15 + 5 = y[/tex]
2) Simplify 15 + 5 to 20.
[tex]20 = y[/tex]
3) Switch sides.
[tex]y = 20[/tex]
You need to add 5 to each sides in order to solve this equation. if you do, you'll get an answer of 20.
help (: I’m so lost
Answers
Answer:
The answer to no. 3 is 3
Step-by-step explanation:
No 3 is 3 x^9/2
PLEASE HELP MEHHHH! ITS IN MATHHH
Answers
Answer:
Step-by-step explanation:
First page = 2 x 4.5 x 3 = 27 square feet.
Second page = 15 x 20 x 9 x 2 = 5400 cubic cmm
Third page = I'm sorry, I'm not really sure.
Fourth page = 52.5 cubic meters
Fifth page = I'm sorry, I'm not too sure...
Hope that helps!
The mean of 10 numbers is 14 three of the numbers have a mean of 4. The remaining 7 numbers are 15, 18, 21, 5, M, 34 and 14 find:
(I) The sum of the remaining 7 numbers,
(ii) the value of m.
please answer ASAP.. please
Answers
Answer:
21
Step-by-step explanation:
sum of all numbers is 10×14=140
add the 6no=107
sum of3 no is 3×4=12
107+12=119
140-119=21
m=21
Need help, Due ASAP!
Answers
Stop posting on here and do the work yourself I usually don't mind helping people but in some cases, I need to just say do it by yourself look at notes look up the answer there are a million things you can do instead of spam posting all your questions good day
Answer:
7=2+1
Step-by-step explanation:
1608.5 rounded to the nearest tenths place
Answers
Answer:1608.5
Step-by-step explanation:
and hb this any answer please
Answers
Answer:
Using the Pythagorean Theorem we can see that:
[tex]9^2+40^2=1681\\\sqrt{1681}=41[/tex]
Thus, x is 41.
24 = [(6+2) - (4 + 2)]
Answers
The right answer is: 2
You should do it like (6+2)-(4+2)=2
Solutions:
(6+2)
|
8-(4+2)
8-6=2
plsss answer 20 points
The tip of a 8 cm minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 3:12 and 3:32?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
Answers
Answer:
16.75 cm
Step-by-step explanation:
The circumference of the circle is πd
The diameter is 16, so the circumference is 16π.
The minute hand goes for 20 min between 3:12 and 3:32
20 min is 1/3 of 60 min.
Therefore, the minute hand swept 1/3 of the circumference, or 1/3(16)π
1/3(16)π = 1/3(16)(3.14) = 16.75 cm
help pls!! .................................
Answers
Answer:
Step-by-step explanation:
B no b/c 7 miles is 12,320 yds and 40 times around route is only 9600 yds... keep running cyrus.. :P
Will give brainliest help
Answers
Answer:
6.50
Step-by-step explanation:
Is it
can you help me please
Answers
the answer is 5/10 units
Please help I’ll give brainlieast
Answers
h(j + i) - k5 + h
when h = 3, i = 4, j = 2, and k = 1
pls put how you did it
Answers
Answer:
16
Step-by-step explanation:
First you want to plug in all the numbers where the letters are
h ( j + i )- k(5) + h
3 ( 2 + 4 )- 1(5) + 3
After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.
6 + 12 - 1(5) + 3
Then you just follow PEMDAS to solve for the rest
6 + 12 - 5 + 3
18 - 5 + 3
13 + 3
16
6. The distance between Al Hamra Mall and Manar Mall is 4 cm on a map. If the scale of the map is 1 cm = 3.5 km. What is the actual distance between the two malls? Show all your workout.
Answers
Answer:
14km
Step-by-step explanation:
1 cm = 3.5km
4 cm = 3.5km * (4*1cm)
4 cm = 14 km
Identify the expression that has the largest value when
a < -1
1/2a
a
a^2
a^3
Answers
[tex] {x}^{2} + 5 = 30[/tex]
ǝɹǝɥ x ɟo ǝnlɐʌ ǝɥʇ sᴉ ʇɐɥʍ
-: sᴉɥʇ ǝʌlos noʎ uɐɔ ʎǝɥ
Answers
Answer:
x^2=25
x=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
here's your solution
=> x^2 + 5 = 30
=> take constant to right side
=> x^2 = 30 - 5
=> x^2 = 25
=> now take square to right side it will be
converted into root
=> x = √25
=> x = 5
hope it helps
A toy box is 5 feet long, 24 inches wide and 30 inches high. What is the volume of the toy box in cubic feet?
Answers
Answer:
25 cubic feet
Step-by-step explanation:
You need to convert all units to feet and then multiply the dimensions.
24 inches is 2 feet
30 inches is 2.5 feet
So, you would multiply 5X2X2.5= 25.
whats the area help me youll get brainliest answer
Answers
Answer:
Area = 14m²Step-by-step explanation:
area of rectangle = length × breadth
area of rectangle = 4 × 2
area of rectangle = 8m²
area of Triangle = 1/2 × base × height
area of Triangle = 1/2 × 4 × 3
area of Triangle = 6m²
Total area = 8 + 6
Total area = 14m²
Help please I need to hurry!!!!!!!!!!!!!!!!!!
Answers
Answer:
1 - 7
3 - 11
5 - 15
Step-by-step explanation:
pls brainliest