The solution to the quadratic equation 6x² + 6 = 12x is x = 1
How to determine the solutions?The quadratic equation is given as:
6x² + 6 = 12x
Equate the equation to 0
6x² - 12x + 6 = 0
Expand the equation
6x² - 6x - 6x + 6 = 0
Factorize the expression
6x(x - 1) - 6(x - 1) = 0
Factor out x - 1
(6x - 6)(x - 1) = 0
Split
6x - 6 = 0 or x - 1 = 0
Solve for x in both instance
x = 1 or x = 1
Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1
Read more about equations at:
https://brainly.com/question/723406
#SPJ4
find the surface area of the composite figure. 5 cm 6 cm 4 cm 20 cm 12 cm R6 cm 5 cm 4 cm
help pls fast
Answer:
644 cm^2
Step-by-step explanation:
20*5*2 = 200
6*5*2 = 60
20*6 = 120
6*8 = 48
12*4*2 = 96
6*4*2 = 48
12*6 = 72
please give answer asap i’ll give brainlist to correct answer
Answer:
I believe the answer is; The median is 4.5 inches.
let me know if this is right for you! :)
Step-by-step explanation:
Please help! Give detailed answer.
Answer:
C
Step-by-step explanation:
Pythagorean theorem
√25²-20²=15
Answer:
C
Step-by-step explanation:
the figure is a rectangle with opposite equal sides
Consider the upper right triangle
using Pythagoras' identity
p² + 20² = 25²
p² + 400 = 625 ( subtract 400 from both sides )
p² = 225 ( take square root of both sides )
p = [tex]\sqrt{225}[/tex] = 15
Change the function f(x) = 2x ^ 2 + 8x + 5 into vertex form.
Answer:
[tex]f(x)=2(x+4)^2-27[/tex]
Step-by-step explanation:
Complete the square
[tex]f(x)=2x^2+8x+5\\f(x)=2(x^2+8x+\frac{5}{2})\\f(x)+2(\frac{27}{2})=2(x^2+8x+\frac{5}{2}+\frac{27}{2})\\f(x)+27=2(x^2+8x+16)\\f(x)+27=2(x+4)^2\\f(x)=2(x+4)^2-27[/tex]
This tells us that the vertex of the parabola is [tex](-4,-27)[/tex].
Suppose a jar contains 11 red marbles and
21 blue marbles. If you reach in the jar and
pull out 2 marbles at random at the same
time, find the probability that both are red.
Answer:
There are 32 marbles. 11 are red. So odds of a red on the first are 11/32.
Now there are 31 marbles left. 10 are red. So odds of a red on the second is 10/31.
Probability both are red, just multiply …. 11/32x 10/31 = 110/992 or 0.111.
You've got three circles in line with eachother. Radius = 4cm
Calculate the shaded area and give answer in pi.
The shaded area of the circles that are given will be 32π.
How to calculate area?It should be noted that the area of a circle is calculated by using:
= πr²
where r = 4
In this case, we have two shaded circles. The area will be:
= 2(πr²)
= 2(π × 4²)
= 2(16π)
= 32π
In conclusion, the area is 32π.
Learn more about area on:
https://brainly.com/question/25292087
#SPJ1
Please, I require assistance
Answer:
see explanation
Step-by-step explanation:
(a)
given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
FH × HG = DH × HE ( substitute values )
2y = 3 × 4 = 12 ( divide both sides by 2 )
y = 6
then
DE = 3 + 4 = 7
FG = 2 + y = 2 + 6 = 8
(b)
given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is
AB × AC = AD × AE ( substitute values )
5(5 + x) = 6 × (6 + 6)
25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )
5x = 47 ( divide both sides by 5 )
x = 9.4
then
AE = 6 + 6 = 12
AC = 5 + x = 5 + 9.4 = 14.4
please please answer (-2)(-4)(-1)(-7)(1) = and explain
Answer:
56
Step-by-step explanation:
(-2)(-4)(-1)(-7)(1) =
(8)(-1)(-7)(1) =
(-8)(-7)(1) =
(56)(1) = 56
hope this helps
have a good day
Which of the following statements best describes the lines?
Juanita has 2 rolls of film with 36 exposures and 3 rolls of film with 24 exposures. How many photos can she take with this film? She can take ____ pictures
Answer:
65 pictures because 24+36+3+2
explain how its false
Answer:
No
Step-by-step explanation:
An exponent signifies the number of times the base is a factor in the product. When products involving the same base are multiplied, the total number of factors is the sum of the number in each of those products.
__
[tex]5^2=5\cdot5\\\\5^9=5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\\\\5^2\cdot5^9=(5\cdot5)\cdot(5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5)=5^{11}[/tex]
The base of the exponent in the product is the value that is a repeated factor. It is 5, not (5·5).
Your friend is not correct.
__
The general rule for exponents is ...
(a^b)(a^c) = a^(b+c)
Determine the solution for the following equation: x = 3 x = 5 x = 13 x = 65
Answer:
x = 3
Step-by-step explanation:
[tex](8x - 8)^{3/2} = 64\\(8x - 8)^{3} = 4096\\x = 3[/tex]
Answer:
A on edge 23
Step-by-step explanation:
because math
Which statement is false?
→
+7
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-3-5
7<3
-5<-3
3<7
Answer:
I don't even have to look at it It's 17 final answer
Answer:
7 < 3 is false.
Explanation:
a) -3 > -5 is a true statement
b) 7 < 3 is a false statement
c) -5 < -3 is a true statement
d) 3 < 7 is a true statement
PLEASE HELP ILL MARK BRAINEST!!
Answer:
-3,-2
Step-by-step explanation:
Answer:
-3,-2
Step-by-step explanation:
if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).
what is the answer ?
The angle B will be equal to ∠B=53.13 degrees.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
It is given that:-
Three sides of the triangle are:- a= 3, b=4 and c =5
The angle B will be calculated by the following formula;-
[tex]\angle B=Cos^{-1}\dfrac{a^2+c^2-b^2}{2ac}\\\\\\\angle B=Cos^{-1}\dfrac{3^2+5^2-4^2}{2\times 3\times 5}\\\\\\\angle B=Cos^{-1}(0.6)\\[/tex]
∠B=53.13 degrees
Hence the angle B will be equal to ∠B=53.13 degrees.
To know more about triangles follow
https://brainly.com/question/17335144
#SPJ1
Find the circumference of a circle that has a 25-inch radius. Use 3.14 to approximate π.
PLEASE HELP ILL GIVE BRAINLIEST
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]
➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).➣ Circumference:- The line that bounds a circle or other two-dimensional figure[tex]{ \rule{70mm}{2.9pt}}[/tex]
★ also circumference of a circle is also known as it's perimeter
➣To find circumference of circle when use formula[tex]{ \boxed{✜\underline{ \boxed{ \sf{\: Circumference \: of \: circle= \: 2\pi \: r}}}✜}}[/tex]
➢ r = radius (25inch.)➢ value of π is 3.14[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]
[tex]\sf{➛ \: Circumference \: of \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference \: of \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference \: of \: circle =157inch}[/tex]
★ Hence circumference of circle=157inch
[tex] \large\underline{ \boxed{ \sf{➪\:157inch. }}}[/tex]
[tex]{ \rule{70mm}{2.9pt}}[/tex]
Hope it helps !
can someone help me with this?
Answer:
36 ft.
Step-by-step explanation:
The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.
It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.
Hypotenuse: 5 x 3 = 15
Leg 1: 4 x 3 = 12
Leg 2: 3 x 3 = 9
Perimeter: 15 + 12 + 9 = 36
36 ft. is your answer.
Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. is alana correct? use terms from the word lis in your answer.
Step-by-step explanation:
Alana is correct.
example : a kite
2 pairs of equally long sides, but none is parallel.
Determine the interval (s) on which the given function is increasing
Answer:
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Step-by-step explanation:
A function is increasing when its gradient is positive (so y-coordinates are increasing).
We have a graph, rather than a function given to us, so we don't need to use any calculus.
Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).
Between x=0 and x=1, the function is decreasing.
After x=1, the function is increasing again.
We can use mathematical notation to express this.
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Or
[tex]x < 0\ \text{and}\ x > 1[/tex]
A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).
Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
what is 10x+15 if x is 10
The answer would be 115
Step-by-step explanation:
a function is graphed on coordinate plane. what is the value of the function when x = -4
Answer:
no graph un asnwerable
Step-by-step explanation:
What is the distance between points L(-1,3) and 2(4, -9)
HELP ASAP
Answer:
13 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )
d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]
= [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]
= [tex]\sqrt{5^2+144}[/tex]
= [tex]\sqrt{25+144}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
Step-by-step explanation:
the other answer is correct.
just a few words about the why :
when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.
the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.
and then we can use Pythagoras
c² = a² + b²
c = sqrt(a² + b²)
with c being the Hypotenuse.
and you see, that is exactly the so-called distance formula the other answer used.
PLS HELP!!!!!!!! GEOMETRIC SEQUENCE!!!!!
Answer:
-256
Step-by-step explanation:
The numbers are being multiplied by 2.
( -4 * 2 = -8)
(-8* 2 = -16)
Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. Write this information as an equation in x. Solve your equation to find the value of x.
Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. The number which he is thinking is 7.5.
What is equation?Two or more expressions with an equal sign is called as Equation.
Given that Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number.
Let the number which Dexter is thinking be x.
Two more than three times his number.
It means value two is added to the product of 3 and the number which he is thinking x.
3x+2
thirteen less than five times his number
It means value thirteen is subtracted from the product of 5 and the number which he is thinking x.
5x-13.
It is given Two more than three times his number is the same value as thirteen less than five times his number
3x+2=5x-13
Take the like terms to one side
13+2=5x-3x
15=2x
Divide both sides by 2.
x=7.5
Hence the value of x is 7.5.
To learn more on Equations click:
brainly.com/question/10413253
#SPJ2
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
4/1 * 1/34 * 1 = 41 * 3 = 34/3; 1 1/3Answer:
B) 1 1/3
Step-by-step explanation:
4 x 1/3 = 4/3
4/3 = 1 1/3
sanjeev ate 1/6 of cake he gave to his frend the remainder 1/5 how much did he keep
Step-by-step explanation:
[tex] = 1 - ( \frac{1}{6} + \frac{1}{5} )[/tex]
[tex] = 1 - ( \frac{5}{30} + \frac{6}{30} )[/tex]
[tex] = 1 - \frac{11}{30} [/tex]
[tex] = \frac{30}{30} - \frac{11}{30} [/tex]
[tex] = \frac{19}{30} [/tex]
So, he keeps [tex] \frac{19}{30}[/tex]
Answer:
Sanjeev kept 19/30 of his cake.
Step-by-step explanation:
So, if Sanjeev ate 1/6 of the cake there will be 5/6 of the cake left over.
He gave 1/5 of this 5/6 to his friend.
He did not give 1/5 of the entire cake, he gave 1/5 of the remainder of his cake, which was 5/6.
To solve this, we must first convert both fractions to the same denominator.
1/5 and 5/6 becomes 6/30 and 25/30
He gave away 6/30 of this 25/30
It is now clear that we must take away how much he gave away from the remainder of the cake.
25/30 subtract 6/30 becomes 19/30
We cannot simplify this.
Therefore, Sanjeev kept 19/30 of his cake.
Consider the diagram below:
What is the relationship between the two highlighted angles?
They are corresponding angles.
They are consecutive interior angles
They are vertical angles.
They are alternate interior angles.
Answer:
The are consecutive interior angles.
A fair spinner has 12 equal sections: 4 red, 3 blue and 5 green. It is spun twice. What is the probability of getting the same colour twice?
Answer:
25/72
Step-by-step explanation:
Total outcomes :
(5 + 4 + 3)²(12)²144 outcomesP (red twice) :
16/1441/9P (blue twice) :
9/1441/16P (green twice) :
25/1445/12Adding :
1/9 + 1/16 + 5/1216/144 + 9/144 + 25/14450/14425/72what is the weight of a rectangular prism with the length of 1.75 width of 3.5 and a height of 7
Answer:
13.125
Step-by-step explanation:
What are the coefficients in the polynomial 4x2 + 3x-3?
•4, -3, -3
•4, 3
•4, 3, 3
•-4, -3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the coefficients in the polynomial 4x²+3x-3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
Coefficient:- A number before a variable
Coefficients in this polynomial:-
4 (the number before x²) and 3 (the number before x)
So we conclude that the right option is:-
[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -