A quadratic equation is in the form of ax²+bx+c. The solution of the given quadratic equation is 2 and -5.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Given the quadratic equation x²+3x-10=0, the solution to this equation can be done as shown below.
x² + 3x - 10 = 0
Keep x terms on the left and move the constant to the right side by adding it on both sides,
x² + 3x = 10
Take half of the x term and square it,
x = (3/2)² = 9/4
Then add the result to both sides
x² + 3x + (9/4) = 10 + (9/4)
Combine terms on the right,
(x + 3/2)² = 49/4
Taking under root,
x + 3/2 = ± 7/2
Now,
x = 7/2 - 3/2 = 2
x = -7/2 - 3/2 = -5
Hence, the solution of the given quadratic equation is 2 and -5.
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what is 0.31 rounded to the nearest tenth
0.31 rounded to the nearest tenth would be 0.3
This Chart should help you in the future:
Evaluate the square root to find the rational equivalent.
36
361
A
6
19
B.
6
361
18
180.5
D.
36
361
Answer:
JJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ
Step-by-step explanation:
The square root of 36 and 361 are 6 and 19 respectively.
What is a perfect square number?A number when taken square root gives an integer is a perfect square number.
Given, we have to find the square root of 26 and 361.
Now by prime factorization,
36 = 2×18 = 2×3×6 = 2×3×2×3 = 2×2×3×3 = 2²×3².
Now the square root of 2²×3² = √2²×√3² = 2×3 = 6.
The square root of 361 can be found by knowing the square root of 400 which is 20.
Now we'll check if 19² = 361 indeed 19×19 = 361 so, the square root of 361 is 19.
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1 3/5 divided by 2 write in simplest form. PLZZZ HELP
Answer:
4/5
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
Hope this helps :)
math question 6r + 7 = 13 +7r
Step-by-step explanation:
6r + 7 = 13 + 7r
6r - 7r = 13 - 7
-1r = 6
r = 6/-1
r = -6
what is the slope of the line represented by the table of values?
Answer:
The slope is -8/5
Step-by-step explanation:
Slope is the change of y over the change of x.
Two x and y values for example are -7, -2, 9, and 1.
You would set up the expression where you put 9-1 in the numerator and -7-(-2) in the denominator. The answer would be 8/-5.
Thus, the slope is -8/5.
help me.
The diameter of a circle has endpoints S(2, 7) and U(4, -3). What are the coordinates of the center of the circle?
Answer:
Thus the center of the circle is at (3, 2)
Step-by-step explanation:
The center of the circle is also the midpoint of the diameter. Thus we can use the midpoint formulas, as follows:
sum of x coordinates sum of y coordinates
xm = ---------------------------------- and ym = -----------------------------------
2 2
In this case, xm = (2 + 4)/2 = 3 and ym = (7 - 3)/2 = 2
Thus the center of the circle is at (3, 2)
THE ANGLES OF THE TRIANGLE ARE IN THE RATIO 5:3:7. THE TRIANGLE IS,
a. an acute angled triangle
b. an obtuse angled triangle
c. a right angle
d. an isosceles triangle
Answer:
a. acute
Step-by-step explanation:
the angles are 60° 36° 84°
all less than 180° and 90°
Due in 30 minutes!!
Thank you:)
Answer:
The 3rd one as it's cubic
Answer:
The first one.
Step-by-step explanation:
Find the asymptotes.
Vertical Asymptotes: x = − 2
Horizontal Asymptotes: y = 3
No Oblique Asymptotes
So it has to be y=(1)/(x+2)+3
GUYS I REALLY NEED HELPPPP!!!!!
PLEASE ACTUALLY ANSWER THE QUESTION THOOO!!!!! ty plsssssssss
20 1/2 Im pretty sure
Solve the system of equations by the substitution method.
( y=2x+1
4y - 5x=13
Type an ordered pair
Step-by-step explanation:
y = 2x + 1
4y - 5x = 13
4(2x + 1) - 5x = 13
8x + 4 - 5x = 13
8x - 5x = 13 - 4
3x = 9
x = 9/3
x = 3
y = 2x + 1
y = 2.3 + 1
y = 6 + 1
y = 7
(x,y) = (3,7)
13.
A line passes through (3, –2) and (6, 2). Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
B. y – 3 = 4/3(x + 2); –4x + 3y = 17
C. y + 2 = 4/3(x + 3); –4x + 3y = –18
D. y – 2 = 4/3(x – 3); –4x + 3y = 18
Answer:
A. y + 2 = 4/3(x – 3); –4x + 3y = –18
Step-by-step explanation:
(3, –2) and (6, 2)
First, we must establish slope...
m=(y-y1)/(x-x1)
m=(-2-2)/(3-6)
m=-4/-3
m=4/3
Point slope formula is...
y-y1=m(x-x1)
Let's select either coordinate. I randomly select the first (3, –2)...
y--2=4/3(x-3)
Subtracting a negative number is the same as adding a positive number...
y+2=4/3(x-3)
This corresponds to the first answer.
Standard form...
Ax+By=C
y+2=(4/3)x-4
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
This also corresponds to the first answer.
How about the second coordinate, (6, 2)...
y-y1=m(x-x1)
y-2=(4/3)(x-6)
Let's convert it into standard form..
y-2=(4/3)x-8
y=(4/3)x-6
-(4/3)x+y=-6
Multiply both sides by 3...
-4x+3y=-18
FIRST ANSWER
y + 2 = 4/3(x – 3); –4x + 3y = –18
Julius and Walt are finding the product of 25 and 18.
Walt
Julius
25
X 18
250
+ 200
550
25
X 18
200
160
400
+ 50
810
Part 1 out of 3
Julius' answer is incorrect
What did Julius do wrong? Select the correct answer to complete the statement.
Julius multiplied 25 by ? and then multiplied 25 by 8 correctly. He added the two
partial products ?
Check
Next
What Julius did wrong is that, he added the partial products incorrectly
Julius product is given as:
2 5
1 8
-----
250
200
-----
550
The above product can be represented as (as given on Julius solution):
[tex]25 \times 18 = 250 + 200[/tex]
[tex]25 \times 18 = 550[/tex]
The actual solution using partial products
We have:
[tex]25 \times 18 = 25 \times (10 + 8)[/tex]
Expand
[tex]25 \times 18 = 250 + 200[/tex]
[tex]25 \times 18 = 450[/tex]
By comparing, we can conclude that:
Julius multiplied 25 by 10 and 25 by 8 correctly, but he added the partial products incorrectly
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What is the ratio of yellow paint to blue paint? (2,04)
Answer:
204 ounces or it is 24 ounces
Step-by-step explanation:
Sorry if it is wrong
PLS HURRY!!! Miley has a shoe shelf 33 inches wide. If each of her shoes is 2 3/4 inches wide, how many shoes can she fit on the shelf? Which statements are correct? Check all that apply. A> To solve this problem, divide 33 by 11/4 B>To solve this problem, multiply 33 by 11/4 C> Miley’s shoe shelf can fit 12 shoes. D> Miley’s shoe shelf can fit 90 shoes.
The ___ of a parabola is the line, along with a point not on the line, which is used to generate a parabola.
Answer:
Directrix
Step-by-step explanation:
The directrix of a parabola is the line, along with a point not on the line (which is the focus), which is used to generate a parabola. The directrix is parallel either to the x- or y-axis, and is perpedicular to the parabola's axis of symmetry (at x = h).
Therefore, the correct answer is "directrix."
CAN SOMEONE HELP ME PLEASE ASAP!
Step-by-step explanation:
milli means thousandths.
in 1 gram there are therefore 1000 milligrams.
so, when you have milligrams, you need to divide them by 1000 to get the grams.
so, 1g/1000mg
F(x)=7|x-2| at f(6)evaluate the function
Step-by-step explanation:
f(x) = 7|x - 2|
f(6) = 7|6 - 2| = 7|4| = 7.4 = 28
yucca manor has sunny days for 80% of the year.if there are 365 days in a normal year,how many sunny days are there a year in yucca manor
Answer:
There are 292 sunny days a year in Yucca Manor
Step-by-step explanation:
80 x 365
-------------- = 292
100
help me plz !!!!!!!!!!!!!!!!!
Answer:
the answer should be 54.6 grams
math help..............................
Answer:
the answer is B
Consider the function f (2) = 9x + 2. Choose the correct answer when the function is evaluated for f (3)
f(3) = 95
f(3) = 29
f(3) = 11
f(3) = 20
Answer:
f(3)=20
Step-by-step explanation:
Find the value of Y
12y-32=4y
Hello there! (:
12y-32=4y
12y-4y=32
8y=32
Divide both sides by 8 in order to get y on its own:
y=4
Hope it helps!
~SparklingFlower (:
S j 2. Name a right triangle.
Answer:
b. none of these
Step-by-step explanation:
none of them have a 90⁰ angle
Find the perimeter.Simplify your answer.
Answer:
24x - 6
Step-by-step explanation:
Perimeter = 2(8x - 3) + 2(4x)
Perimeter = 16x - 6 + 8x
Perimeter = 24x - 6
-Chetan K
Find d²y / dx², dy / dx for the curve whose equation is x² + y²_3xy_6x + 5y + 2 = 0 at the point (2,3)
I assume you meant to write
x² + y² - 3xy - 6x + 5y + 2 = 0
Taking y = y(x) and differentiating both sides with respect to x with the power, product, and chain rules gives
2x + 2y dy/dx - 3y - 3x dy/dx - 6 + 5 dy/dx = 0
Solve for dy/dx :
2x - 3y - 6 + (2y - 3x + 5) dy/dx = 0
(2y - 3x + 5) dy/dx = 6 - 2x + 3y
dy/dx = (6 - 2x + 3y) / (2y - 3x + 5)
Now differentiate both sides again. Using the quotient and chain rules,
d²y/dx² = ((2y - 3x + 5) (-2 + 3 dy/dx) - (6 - 2x + 3y) (2 dy/dx - 3)) / (2y - 3x + 5)²
Expand and simplify the numerator:
d²y/dx² = (5y + 8 + (3 - 5x) dy/dx) / (2y - 3x + 5)²
Substitute dy/dx and simplify d²y/dx² :
d²y/dx² = (5y + 8 + (3 - 5x) (6 - 2x + 3y) / (2y - 3x + 5)) / (2y - 3x + 5)²
d²y/dx² = ((5y + 8) (2y - 3x + 5) + (3 - 5x) (6 - 2x + 3y)) / (2y - 3x + 5)³
d²y/dx² = (10y² + 50y - 30xy + 10x² - 60x + 58) / (2y - 3x + 5)³
Will give brainliest!!
-12x = -48
A. 576
B. 4 (my guess)
C. -4
D. 1/4
Answer:
x = 4
Step-by-step explanation:
−12=−48
-12x=-48−12x=−48
−12−12=−48−12
x = 4
emily folded a paper circle into 2 parts what is the angle measure of each part
Answer:
I think it would be 180 degrees
Step-by-step explanation:
Find the value of each variable in the following parallelograms.
Answer:
y+3=12
y=12-3
y=9
x-3=15
x=15+3
x=18
so,x=12
y=18
Factor the following trinomials. Show your work. Will mark as Brainliest if the answers are correct and have work shown.
1. -2x^2 - 10x + 100
2. 3x^3 + 9x^2 - 54x
3. x^2 +12x + 20
1st Question:
Our problem is [tex]-2x^2 - 10x + 100[/tex]
We have a common factor between the three terms, -2. So:
[tex]-2x^2 - 10x + 100[/tex]
[tex]-2(x^2 + 5x -50)[/tex]
We can factor further. What two numbers add up to 5 and multiply to -50? Our answer would be positive 10 and -5. Therefore:
[tex]-2(x^2 + 5x -50)[/tex]
[tex]-2(x +10)(x-5)[/tex]
2nd Question:
The problem is [tex]3x^3 + 9x^2 - 54x[/tex]
Like the first question, we can factor out a constant. In this case, we factor out a 3.
[tex]3x^3 + 9x^2 - 54x[/tex]
[tex]3(x^3 + 3x^2 - 18x)[/tex]
We can also factor out an x.
[tex]3(x^3 + 3x^2 - 18x)[/tex]
[tex]3x(x^2 + 3x - 18)[/tex]
We need to simply further. We can factor the quadratic into (x+6)(x-3).
[tex]3x(x^2 + 3x - 18)[/tex]
[tex]3x(x+6)(x-3)[/tex]
3rd Question:
Our problem is [tex]x^2 +12x + 20[/tex]
We do not have a coefficient, so we should factor the expression straight away. What two numbers add up to 12 and multiply to 20? the numbers 2 and 10. So:
[tex]x^2 +12x + 20[/tex]
[tex](x+2)(x+10)[/tex]
Write the ratio as a fraction in simplest form which whole numbers in the numerator and denominator 4 to 36
Answer:
1:9
Step-by-step explanation:
4:36
4 divided by what can be divisible by 36 too?
4 itself can.
4 divided by 4 is 1 and 36 divided by 4 is 9
1:9
