Answers
Answer:
x = 1 ± [tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
2x² - 4x = 10 ( divide through by 2 )
x² - 2x = 5
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 5 + 1
(x - 1)² = 6 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{6}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{6}[/tex] ← exact solutions
Answer:
[tex]x \pm\sqrt6 +1[/tex]
Step-by-step explanation:
Hello!
Standard form of a quadratic: ax² + bx + c
Solve:
2x² - 4x = 102x² - 4x - 10 = 02(x² - 2x - 5) = 0x² - 2x - 5 = 0Now, complete the square:
Take the b-value in our equation (-2)Divide it by 2 (-1)Square it (1)Add and subtract that in our equation:
x² - 2x - 5 = 0x² - 2x + 1 - 5 - 1 = 0Factor the perfect square trinomial:
(x - 1)² - 6 = 0(x - 1)² = 6[tex]\sqrt{(x-1)^2} = \sqrt{6}[/tex]x - 1 = ±√6x = ±√6 + 1The solutions are [tex]x \pm\sqrt6 +1[/tex]
Related Questions
Solve the following 6-2x=3
Answers
Step-by-step explanation:
6 - 2x = 3
2x = 6 - 3
2x = 3
x = 3/ 2
Hope it will help :)
-2x+6=3
-2x+6-6=3-6
-2x=-3
-2x/-2=-3/-2
x=3/2
A toy car is 3 inches long. An actual size car is 180 inches long. What is the percent increase from the toy car to actual size car?
Answers
Answer:
600%
Step-by-step explanation:
Answer:
6000% is the percent increase from the toy car to the actual size car.
Step-by-step explanation:
Mark me brainliest? :D
what is the estimated product for 2.34 X 16?
Answers
Answer:
37.44
Step-by-step explanation:
Hav a great day :3
Joey is saving for a new $500 bike. He currently has $125. If he
saves $15 per week, how long must he wit to save at least $600 to
cover tax and extras?
Answers
Step-by-step explanation:
600 - 125 = 475
475 ÷ 15 = 31.6 = 32 (Estimated to nearest whole number)
Answer: 32 weeks
En un triángulo ABC, "I" es incentro del triángulo ABC. En AC se ubica el punto D, tal que m∡AID=90, BI = 18 y CD = 2, calcule IC.
Answers
In this triangle, the product of sin B and tan C is
and the product of sin Cand tan B is
Answers
Answer:
[tex]\frac{c}{a}[/tex] and [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{b}{a}[/tex]
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{c}{b}[/tex]
Thus
sinB tanC = [tex]\frac{b}{a}[/tex] × [tex]\frac{c}{b}[/tex] ( cancel b on numerator/ denominator )
= [tex]\frac{c}{a}[/tex]
---------------------------------------------------------------------------
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex]
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{b}{c}[/tex]
Thus
sinC tanB = [tex]\frac{c}{a}[/tex] × [tex]\frac{b}{c}[/tex] ( cancel c on numerator/ denominator )
= [tex]\frac{b}{a}[/tex]
4.22_4.220
a) <
b) >
c) =
Answers
Answer:
=
Step-by-step explanation:
there both the same number
what does this symbol mean in math: •
Answers
Answer: Multiplication
Step-by-step explanation:
Hope this helps :)
Answer:
Because it's taken out of context, I am not completely certain, but I'm pretty sure it's just another way to write the multiplication symbol. A lot of people like it because it's faster to write, and you won't confuse it with the variable x.
Hope this is helpful to you!
Im to dum for this, can big brain person do this PLZ
Answers
Answer:
its ur ma and also wheres the picture nobrainer;-;
Step-by-step explanation:
Answer: yeah i see cuz theres nothing
Step-by-step explanation:
Count to find the slope.
Answers
Answer:
The slope is 6/7 or -7/6.
Step-by-step explanation:
You could go from the lower dot and count to the line of the upper dot and then go to the right until you hit the dot or you would start at the upper dot and count down to the line of the lower dot and go to the left until you hit the dot.
exponential part 2.. help
Answers
Answer:
The answer would be 9
Step-by-step explanation:
27^2 would be 729
27^4/3 would be 81
now you have 729/81
divide 729/81=9
Find the value of x
Look at the picture^^
Answer with work please I need help???
Answers
In right angled triangle
Hypotenuse ² = perpendicular² + base²
Base = 22Perpendicular = 27Hypotenuse = x[tex] \implies \: {x}^{2} = {27}^{2} + {22}^{2} [/tex]
Square of 27 and 22 are 729 and 484 respectively.
[tex] \implies \: x = 729 + 484[/tex]
[tex] \implies \: x {}^{2} = 1,213[/tex]
[tex] \implies \: x = 34.82 \: (approx)[/tex]
Help
ASAP
I’ll mark
You as brainlister
Answers
22.78
Explanation:
Given:
Rise:3
Run:7
We need to find angel x
Using trigonometric ratio:
Tan(0)= perpendicular/base
Tan(angel x) = 3/7= 0.42
Angel x = tan-1(0.42)= 22.78
please hurry
Simplify: 14-30/ 2 (- 4)
Answers
Answer:
74
Step-by-step explanation:
PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The value of the given expression (14-30)/2(-4) when simplified is 2.
What is PEMDAS?PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
The given expression can be simplified as shown below.
(14 - 30)/ 2 (- 4)
Using the rule of PEMDAS, solving parenthesis first,
= (14-30) / (-8)
= (-16)/ (-8)
Solving the division,
= 2
Hence, The value of the given expression (14-30)/2(-4) when simplified is 2.
Learn more about PEMDAS here:
https://brainly.com/question/36185
#SPJ2
Help me with number 17 please and thank youuuuuuu
Answers
Answer:
number 1 gvbrturcdc5dcdcdex6he46y4
Step-by-step explanation:
A touchdown in football counts for 6 point. If n stands for the number of touchdowns, equation represents how many point n touchdowns worth?
Answers
Answer:
Step-by-step explanation:
y=6x
If need any help editing an essay or something you can not do on here heres my number
(318) 891-1439
Send it to me I will be glad to help
Answers
Answer:
on what's app ?
Step-by-step explanation:
or telegram ?
Scale Factor = 1 is it reduction or enlarge
Answers
Answer:
The image remains the same.
Step-by-step explanation:
If the scale factor is one, then the image is not reduced or increased, it remains the same. This is because, if one multiplies the original image by the scale factor, then one will get the scaled answer. If one multiplies anything by 1, then they will get the number they multiplied by 1 (this is called the multiplicative identity property), hence the image remains the same.
There are 18 girls in a bowling league there are three girls for every two boys in the lead how many boys are in the league
Answers
Answer:
12
Step-by-step explanation:
18 can be divided by 3 evenly making it 6. So there is 6 sets of 3 girls and 2 boys. So if you do 6 x 2 you get 12.
2x+5-x+10=1x-5+3x what does x=
Answers
in 20 seconds a rollercoaster goes up a 100-meter hill then down 72 meters and back up a 48-meter rise how much higher or lower from the start of the ride is the coaster after 20 seconds?
Answers
Giving brainliest! Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
3 (15 + 24)
9 (5 + 8)
(5) (9) + (2) (36)
(3) (15) + (8) (9)
Answers
Answer:
b. 9 (5+8)
Step-by-step explanation:
Answer:
Step-by-step explanation: (5+9)
What is 10 times as much is 0.009
Answers
Answer:
multiply 0.09 by 10 and that'd equal 0.09. A number 10 times greater then 0.009 is 0.09.
The ratio of small dogs to large dogs at the dog show is 4:3. If there are 56 total dogs in the show, how many large dogs are in the show? Show your work by using a tape diagram.
Answers
Answer:
there are 24 large dogs
Step-by-step explanation:
add the ratio 3 plus 4
for large dogs you have 3/7×56
Simplify (3 x 1012) x (6 x 105) and
write the answer in correct standard form
Answers
Answer:
3666
Step-by-step explanation:
When an equation has one solution, the variable terms on both sides are the same.
O True
O False
Answers
Answer
false
Step-by-step explanation:
When an equation has one (1) solution, the variable terms on both sides are the same: False.
What is system of equations?A system of equations can be defined as an algebraic equation of the first order with two (2) variables and each of its term having an exponent of one (1).
Mathematically, an equation can be represented as follows:
[tex]x+y=10[/tex]
Where:
x and y are the variable terms.Generally, the variable terms on both sides are different for an equation that has one (1) solution.
Read more on equations here: https://brainly.com/question/2972832
help me plz this is my last chance to get it correct (B is the wrong answer btw)
Answers
Answer: I would think D.
Step-by-step explanation: I'm worried for you, I hope this is correct.
Find the measure of the following angles given
Answers
Answer:
Step-by-step explanation:
m∠8 = 130
m∠6 = 130
m∠7 = 50
m∠11 = 65
m∠15 = 65
m∠10 = 65
What is the equation of the line when m = 5 and b = -4?
Answers
Answer:
Y = 5x -4
Step-by-step explanation:
You literally just plug the numbers into the equation below:
y = mx + b.
What is the measure of ONE interior angle in a regular triangle (3 sides)?
Answers
Answer:
60°
Step-by-step explanation:
A regular triangle has three congruent angles. The sum of the angles is 180°, so each angle is 60°.