The formula of Sridharacharya is used. Then the solutions of the equation are 73.19 and -13.19.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation is given as
[tex]\rm 4\sqrt{5x + 66} = x +10[/tex]
Squaring both sides, we have
16(5x + 66) = (x + 10)²
16(5x + 66) = x² + 100 + 20x
On simplifying, we get
x² + 100 + 20x -80x - 1056 = 0
x² - 60x - 956 = 0
On solving by formula method, we have
a = 1; b = -60; and c = -965
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\\x = \dfrac{-(-60) \pm \sqrt{(-60)^2 - 4*1*(-965)}}{2*1}\\\\\\x = 73.19, \ -13.19[/tex]
Thus, the solutions of the equation are 73.19 and -13.19.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
verified dude trippin
its 3
Please answer it’s due tomorrow
Answer:
60 servings
Step-by-step explanation:
Method 1: 2.5/10 (fraction) = 15/x (fraction)
Draw an arrow from 2.5 to 15 and write x6 (times 6)
Do the same from 10 to x
Then do 10*6 = 60
I don't know another method but hope this helps!
Step-by-step explanation:
First method :-
Using unitary method,
5/2 scoops = 10 servings
1 scoop = 10/5/2 = 4 servings
15 scoops = 15 * 4 = 60 servings
15 scoops = 60 servings of bannock
Second method :-
Using proportions,
Let x be servings of bannock for 15 scoops
Let ratios be 5/2 : 10 and 15 : x
Now,
5/2 : 10 = 15 : x
or, 5/2/10 = 15/x
or, 5/2 * 1/10 = 15/x
or, 1/4 = 15/x
or, x = 15 * 4
so, x = 60
So,
15 scoops = 60 servings of bannock
Yes or no is the are of a circle a function of it’s radius
Anything that is a function of something is when that something makes up one side of function as a variable for the entire equation.
So yes the area of a circle is a function of its radius
Answer: Area is a function of the radius, but radius is not a function of the area
Step-by-step explanation:
Since the area of a circle is A = PI^2 , the value of the area depends on the radius, so area is a function of the radius, but not the other way around.
In circle T, what is the value of x?
x = 19°
x = 20°
x = 24°
x = 29°
Check the picture below.
Answer:
(a) x° = 19°
Step-by-step explanation:
A triangle inscribed in a semicircle is a right triangle. That means the acute angles in the triangle are complementary:
x° = 90° -71° = 19°
Simplify -12x + 5x.
-17 x
-7
-7 x
Answer:
-7x
Step-by-step explanation:
==> -12x + 5x.
==> -12+5xx
==> -7x
Answer:
-7x
Step-by-step explanation:
−12x+5x
Combine Like Terms:
=−12x+5x
=(−12x+5x)
=−7x
Combining like terms - Combining like terms will simplify a math problem and is also the proper form for writing a polynomial. To combine like terms, just add the coefficients of each like term.
The height of three students in the class are given below. Order the students from shortest to tallest.
Answer:
Janis, Carl, Catherine
Step-by-step explanation:
janis=1.666
carl=1.7
catherine=2.333
Vance wants to construct a circle tangent to all three sides of the acute, scalene triangle LMN using the following steps.
He will draw altitudes from vertex L and vertex M, and mark their intersection point as O.
He will draw the perpendicular from point O to side MN, and mark the intersection point as P.
He will draw the circle centered at point O which will pass through point P.
Which part of Vance's plan requires revision?
A.
Vance should have found the intersection of two angle bisectors of triangle LMN instead of two altitudes.
B.
Vance should have found the intersection of two perpendicular bisectors of triangle LMN instead of two altitudes.
C.
Vance should have constructed all three altitudes instead of only constructing two altitudes.
D.
Vance should have used the compass to draw a circle through point N instead of point P.
The part that needs revision in the construction of the tangent to the triangle is C. Vance should have constructed all three altitudes instead of only constructing two altitudes.
What is a triangle?A triangle simply means a polygon that has three sides. Also, a triangle has there's edges as well as vertices.
In this case, in order to construct a circle tangent to all three sides of the acute, scalene triangle LMN, it should be noted that the three altitudes have to be taken into consideration.
This wasn't the case in the step given by Vance as only two altitudes were considered. Therefore, this should be the change that is required.
Learn more about triangles on:
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find the marked angles in each of the following. where a point O is given it is the centre of the circle.
Need answers for 9,11,15,17,26,36
two six sided dice are rolled and the two dice equals 7. what is the probability that one die is a 3
Let us solve the problem step by step.
here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.
Now, it is time to calculate the probability.
The required probability is,
p = (No. of cases favorable for the event)/(Total no. of cases)
=6/36 = 1/6
Therefore your answer is 1/6.If two six-sided dice are rolled and the two dice are equal. The probability that one die is a 3 will be 6.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that, two six-sided dice are rolled and the two dice equal 7.
If two dice are rolled. The total no. of possible outcomes will be,
= 6²
=36
The total outcomes are,
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
If the desired outcome is their sum which is 7. All the possible cases are 6,
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
The required probability is,
p(sum=7) = (No. of cases favorable for the event)/(Total no. of cases)
p(sum=7)=6/36
p(sum=7)= 1/6
Thus, if two six-sided dice are rolled and the two dice are equal. The probability that one die is a 3 will be 6.
Learn more about the probability here:
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Can someone help me understand what this means
PLEASE HELP ASAP I NEED THIS TO PASS 20 POINTS 5 STARS
1)By the Triangle Inequality Theorem which set of side lengths could create a triangle?A) 5, 10, 4B) 5, 7, 13C) 7, 9, 3D) 10, 4, 5
Answer:
C
Step-by-step explanation:
The answer is C because it is the only one where any combination of 2 sides will add up to be greater than the other sides.
Answer:
Step-by-step explanation:
A is not possible, because 5 + 4 < 10 (doesn't satisfly inequality.)
B is also not possible => 5 + 7 < 13 (doesn't satisfy inequality.)
D is also not possible => 4 + 5 < 10 (doesn't satisfy inequality)
So, the answer is C, cause the sum of 2 sides is always more than the other one.
The straight line joining points A(p,3) and B(1,-1) has length 5, workout the value of p
Answer:
d^2 = <y2-y1>^2 + <x2 -x1) ^2
so
p =4
the cost of cab fare is $12.00 write and solve an equation to show the total with a 13% tip add
Answer:
13.56$
To write an equation, we need to think about what this is asking us. It's asking us to take a number and increase the total % to be 113% of the original number. This looks something like
[tex]y = 1.13x[/tex]
Where y is amount with a tip and x is amount before a tip. To calculate for 12 dollars, we plug 12 into x and it comes out as 13.56 dollars
Hope it helps!
Amy now earns $9.50 per hour. This is 125% of
what she earned last year. What did she earn per
hour last year?
answer:
$9.50 = 125% * (last years hourly wage)
$9.50 = 1.25*X
9.50/1.25 = X
$7.60 = X
she earned $7.60 per hour last year!
3. Mr Chen's salary was $2800. He spent $1500 and gave the rest equally to each of his 3 daughters and 2 sons. How much did each daughter receive? Ans:
Answer:
$260 each
Step-by-step explanation:
Combined, Mr. Chen as 5 children. 2800-1500 = 1300. 1300/5 = $260 per child.
y= 5-3x
y= -3x+4
solution or no solution
Answer:
no solution
Step-by-step explanation:
y = 5 - 3x → (1)
y = - 3x + 4 → (2)
substitute y = - 3x + 4 into (1)
- 3x + 4 = 5 - 3x ( subtract 4 from both sides )
- 3x = 1 - 3x ( add 3x to both sides )
0 = 1 ← not possible
this indicates the system has no solutions
The median of the data set is 18 what number is missing 12,17,_,21,13,25
Answer:
mais um dia
[tex]1483651[/tex]
Compare. Select<,>,=.
13 gal ? 55qt
Answer:
13 gal < 55 quarts
Step-by-step explanation:
There are approx 4 quarts in 1 gallon
Therefore, 13 gallons = 13 x 4 = 52 quarts
52 < 55
So 13 gal < 55 quarts
Find the value of x. Helpp Pleasee!
please help i’ll mark
Answer:
c = 0.50(0.48)(1525)
Step-by-step explanation:
If 52% of the students are female, then
100% - 52% = 48% of the students are male
48% = 48/100 = 0.48
To find the number of students who are male:
⇒ total number of students x 0.48 = 0.48 x 1525
Half = 50% = 50/100 = 0.50
⇒ half of the male students = 0.50 x 0.48 x 1525
Solution: c = 0.50(0.48)(1525)
Two friends at a restaurant each order a fruit drink. The available flavors are watermelon, orange, or mango. Write an organized list using the format to represent the sample space of the friends' fruit drinks.
Answer: A
Step-by-step explanation:
(Friend 1, Friend 2)
Friend 1 = x
Friend 2 = y
(x, y) variables are substitution for the flavors
So it cant be C or D
B doesn't have all the possible solutions
33/9 but put the remainder as a fraction, also i need the solution
Answer:
3 2/3
Step-by-step explanation:
33/9 as a fraction you divide 33 by 9 and get 3 as a whole number and 6/9 then simplify 6/9 by 3 and get 2/3
Answer:
33/9 but put the remainder as a fraction, also i need the solution
Step-by-step explanation:
How do I solve this?
Answer:The solution is in the attached file
Step-by-step explanation:
Solution:
Note that:
Slope of line = 4Given point: (1, 13)Point slope form formula: y - y₁ = m(x - x₁)Use the formula to obtain the equation of the line.
y - y₁ = m(x - x₁)=> y - 13 = 4(x - 1)=> y - 13 = 4x - 4=> y = 4x - 4 + 13=> y = 4x + 9The equation of the line is y = 4x + 9.
-1/6 - ( -3/5)
write answer in simplest form
Answer:
13/30
Step-by-step explanation:
Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
Result of spin
Result of coin toss Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails
What is the probability that the result of the spin is blue and the coin lands heads up?
two over eight
three over eight
one over eight
four over eight
Please answer the following Question (35 Points)
Answer:
19 = y
Step-by-step explanation:
Hello!
These angles are vertical angles or angles that are formed by two lines that intersect. The two non-adjacent angles that are formed are congruent and known as Vertical Angles.
Now that we know what vertical angles are, we know that these two angles (19° and y) are congruent because they are formed by the intersection of two lines and are non-adjacent.
19 = y is your answer
The graph of quadratic function g is shown on the grid. the coordinates of the x-intercepts, the y-intercept, and the vertex are integers. What is the maximum value of g? A) (0, - 8) B) (- 4, 0) C) (- 3, 1) D) (- 2, 0
The maximum value of g is,
⇒ (- 3, 1)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The graph of quadratic function g is shown on the grid. the coordinates of the x-intercepts, the y-intercept, and the vertex are integers.
Now, The maximum value of g is the vertex of the parabola.
Hence, by graph;
The maximum value of g is,
⇒ (- 3, 1)
Learn more about the quadratic equation visit:
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What is 2/7 divided by 7/8
Answer:
16/49
Step-by-step explanation:
First we apply the fraction rule a/b ÷ c/d = a/b × d/c :
2/7 ÷ 7/8
2/7 ×8/7
Multiply fractions using this rule a/b × c/d = a×c/b×d :
2×8 =16
7×7=49
So our final answer is 16/49
Need help I have been stuck on this for a while
Answer:
sqrt25
Step-by-step explanation:
Step-By-Step explanation
Volume(rectangular prism) = lhw (length x width x height)
Since length x width is to find the base area, it mean length x width = 72 square inches.
=> Height = 288 : 72 = 4 inches.
Which model represents the product 3 x 2/5
Answer:
I believe it is the first one.
Step-by-step explanation:
No work to be shown.
Answer:
The first answer is correct
Step-by-step explanation:
3 groups of 2/5 = 3 x 2/5
