Answer:
[tex]\displaystyle x= 1\pm \sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x² - 2x - 4 = 0
Step 2: Identify Variables
a = 1
b = -2
c = -4
Step 3: Solve for x
Substitute [QF]: [tex]\displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(1)(-4)} }{2(1)}[/tex]Exponents: [tex]\displaystyle x=\frac{2\pm\sqrt{4-4(1)(-4)} }{2(1)}[/tex]Multiply: [tex]\displaystyle x=\frac{2\pm\sqrt{4+16} }{2}[/tex]Add: [tex]\displaystyle x=\frac{2\pm\sqrt{20} }{2}[/tex]Simplify: [tex]\displaystyle x=\frac{2\pm 2\sqrt{5} }{2}[/tex]Factor: [tex]\displaystyle x=\frac{2(1\pm \sqrt{5}) }{2}[/tex]Divide: [tex]\displaystyle x= 1\pm \sqrt{5}[/tex]Answer:
yes
Step-by-step explanation:
daisy mixes 50ml of orange juice with 200ml of water. Write down the ratio of Orange Juice to Water. Give your answer in simplest form
Answer:
1:4
Step-by-step explanation:
Given
Volume of orange juice = 50ml
Volume of water = 200mL
Required
Ratio of volume of orange juice to water
Ratio = volume of orange juice/volume of water
Ratio =50mL/200mL
Ratio =5/20
Ratio =1/4 or 1:4
Hence the required ratio is 1:4
WRITE IN ALGEBRIC EXPRESSION
c) Subtract 3times of k from 25
PLEASE HELP. WILL MARK BRAINLIEST IF CORRECT
9514 1404 393
Answer:
(b) Congruent Figures
Step-by-step explanation:
Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.
On the other hand, dilations change the size of the figure, so the image is not congruent with the original.
Rigid transformations result in congruent figures.
AB=15; AD=36. What is the value of AC+BD
Answer:
AC+BD = 78
Step-by-step explanation:
Given that,
AB = 15, AD = 36
We need to find the value of AC+BD.
[tex]BD^2=AB^2+AD^2[/tex]
We can find BD.
[tex]BD^2=15^2+36^2\\\\BD=39[/tex]
According to figure,
BC should be equal to AD and AB should be equal to CD.
AC+BD = BD+BD
= 2BD
= 2 × 39
= 78
So, the value of AC+BD is equal to 78.
What is equation in point slope form of the parallel to y=4x+14 and through the point (-4,-7)?
Answer: Slope = 8.000/2.000 = 4.000
x-intercept = 14/-4 = 7/-2 = -3.50000
y-intercept = 14/1 = 14.00000
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(4*x+14)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-4x-14 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-4x-14 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 14/1 so this line "cuts" the y axis at y=14.00000
y-intercept = 14/1 = 14.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-2 Our line therefore "cuts" the x axis at x=-3.50000
x-intercept = 14/-4 = 7/-2 = -3.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 14.000 and for x=2.000, the value of y is 22.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 22.000 - 14.000 = 8.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 8.000/2.000 = 4.000
Geometric figure: Straight Line
Slope = 8.000/2.000 = 4.000
x-intercept = 14/-4 = 7/-2 = -3.50000
y-intercept = 14/1 = 14.00000
Which equation represents the line that is perpendicular to y=3 and passes througn (-2, -8)
Step-by-step explanation:
y = 3 is a horizontal line. A line that is perpendicular would be a vertical line. (x = a)
Since it passes through (-2, -8) with x-value of -2,
the line equation is x = -2.
someone help me please
Answer:
1) angle 1 is 55 degrees
2) angle 2 is 55 degrees
3) angle 3 is 70 degrees
4) angles 1 and 2 are vertical
Step-by-step explanation:
1) angle 1 = 180 - (85 + 40)
2) angle 2 has the same measure of angle 1
3) angle 3 is 180 - (55 + 55)
4) angles 1 and 2 are vertical and congruent
Cone W has a radius of 10 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W.
Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?
Answer:
The answer is C.
Step-by-step explanation:
I took the test and got it right
Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A thick or empty device with an approximately round or elliptical base that tapers to a notch is known as a cone.
Cone W has a radius of 6 cm and a height of 5 cm.
The base area of the cone will be
A = πr²
A = π (6)²
A = 113.04 square cm
Then the volume of the cone will be
V = (1/3) x base area x height
V = (1/3) x 113.04 x 5
V = 188.4 cubic cm
Square pyramid X has the same base area and height as cone W.
Then the volume of the square pyramid will be
V = (1/3) x base area x height
V = (1/3) x 113.04 x 5
V = 188.4 cubic cm
Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X.
Then the correct option is C.
The question was incomplete, but the complete question is attached below.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
A number t multiplied by -4 is at least - 2/4
What is the solution?
Answer:
that
Step-by-step explanation:
that is the solution
Answer:
(1,-1)
Step-by-step explanation:
it's the point of intersection
hope this helps, pls mark brainliest :D
help please asap!!!!!
Answer:
-0.9 gallons per minute
Step-by-step explanation:
Which set of numbers forms a Pythagorean triple?
1, 2 , 4
6, 7 , 13
3 ,4 , 5
8, 15 , 20
Answer:
3, 4, 5
Step-by-step explanation:
3 ^2 = 9
4 ^2 = 16
5 ^2 = 25
9 + 16 = 25
Evaluate the following expression when x=2 and y= 3.6
5y2 + 3x
Answer:
Step-by-step explanation:
PLEASE HELP FAST!! and also please show your work!!
Answer:
a
Step-by-step explanation:
w+3=-4*3
or,w+3=-12
or,w=-12-3
w=-15
Boskyville is planting tree along both sides of its streets.The trees will be planted 50 feet apart. the first tree on the block must stand 20 feet from the corner. if the blocks in boskyville are 390 feet long, how many trees will be planted along one block?
A.14 trees
B. 16 trees
C. 8 trees
D. 7 trees
Answer:
7 trees will be planted along one block.
Therefore, option D is the correct choice.
Step-by-step explanation:
The length of the block in boskyville = 390 feet
The condition is that the first tree on the block must stand 20 feet from the corner.So subtract 20 feet from the length of the block in boskyville.
i.e 390 feet - 20 feet = 370 feet
Given the trees will be planted 50 feet apart.Thus, divide the 370 feet by 50 feet would bring us the total number of trees being planted along one block
i.e.
Trees along one block = 370 / 50
= 7 (Rounded to the whole number)
Thus, 7 trees will be planted along one block.
Therefore, option D is the correct choice.
Please hurry final examm i need help
Answer:
72
Step-by-step explanation:
Multiply 72 by .75 and you get 54
Find ab and bc in the situation above
Answer:
So we know that 5x+10 and x +16 should give us 56. So let's combine the like terms.
1) 6x+26=56
Now lets solve for x.
2) 6x=30
x=5
3) To solve for AB and BC we will plug in the value of x.
AB= (5) + 16= 21
BC= 5(5)+10= 35
You can also double check the right answer by checking whether 21+35 = 56, and in this case it does.
can someone help me with this please ill give brainest
Answer:
Step-by-step explanation:
Justifications
-2(x + 6) < 3(x + 1) Given
-2x - 12 < 3x + 3 Distributive property
-2x < 3x + 15 Addition property of Order
-5x < 15 Subtraction property of Order
x > 3 Division property of Order
plzzzz help with this
Answer:
0.125
Step-by-step explanation:
2/16 = 1/8 = 0.125
What is the value of x ?
Answer:
I think the value of x =50
What are the roots of x in -10xsquare+12-9=0
Answer:
[tex]x=\pm \sqrt{\frac{3}{10}}[/tex]
Step-by-step explanation:
[tex]-10x^2+12-9=0\\\\-10x^2+3=0\\\\-10x^2=-3\\\\x^2=\frac{-3}{-10}\\\\x^2=\frac{3}{10}\\\\[/tex]
here we have to cases
case 1
[tex]x=\sqrt{\frac{3}{10}}\\[/tex]
case 2
[tex]x=-\sqrt{\frac{3}{10}}[/tex]
Given:
Consider the given equation is
[tex]-10x^2+12x-9=0[/tex]
To find:
The roots of x in the given equation.
Solution:
We have,
[tex]-10x^2+12x-9=0[/tex]
On comparing this equation with [tex]ax^2+bx+c=0[/tex], we get
[tex]a=-10,b=12,c=-9[/tex]
Using quadratic formula, we get
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-10)(-9)}}{2(-10)}[/tex]
[tex]x=\dfrac{-12\pm \sqrt{144-360}}{-20}[/tex]
[tex]x=\dfrac{-12\pm \sqrt{-216}}{-20}[/tex]
We know that, [tex]\sqrt{-1}=i[/tex].
[tex]x=\dfrac{-12\pm 6\sqrt{6}i}{-20}[/tex]
[tex]x=\dfrac{-2(6\mp 3\sqrt{6}i)}{-20}[/tex]
[tex]x=\dfrac{6\mp 3\sqrt{6}i}{10}[/tex]
[tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex]
Therefore, the roots of the given equation are [tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex].
Which of the following phrases are equations? Choose 2 answers:
A) 5 = 3m
B) n>|-8|
C) 2 + 6 = (5 - 1). 2
D) 8. (k + 6)
E) 0 < 4+p
Answer:
the answers are Band C
Step-by-step explanation:
B. using the number line n greater than -8
C.8=4.2
8=8
I need help with this question please?! I'm having a hard time answering it!
Answer:
£0.40
Step-by-step explanation:
Divide £40 by £3.30 to find the number she can buy
£40 ÷ £3.30 = 12.1212..
That is she can buy 12 light bulbs
cost = 12 × £3.30 = £39.60
change = £40 - £39.60 = £0.40
Pls Helppp ASAP I will give brainliest to best answer!! 100 points if you help!!!
An arithmetic sequence has 8 terms total 1st number is -22 and 8th (last) number is 5 there are 6 missing terms in between, what are they? Please help me!! I need this
Answer:
-17
-14
-10
-5
-2
3
now it is ready
Answer:
there u go
Step-by-step explanation:
your ans is-22, -18,-14, -10,-6,-2,2,5
this is the ans
HAPPYface if the given ordered pair is a solution to the system and a SAD faceof not.
PLEASE ANSWER
Answer:
Step-by-step explanation:
1) :)
2) :(
3) :(
4) :(
5) :)
So far in math you have taken 10 quizzes this semester. The mean of the scores is 88.5 what is the sum
Answer:
Use M a t h w a y it helps. Trust me.
The sum of scores in quizzes of math is [tex]\boldsymbol{885}[/tex].
"To understand the calculation, check below."
What is mean?Mean is calculated by dividing sum of all the observations by number of observations.
For a data collection containing numbers that are close together, the mean is the best option.
Total number of quizzes in math [tex]=10[/tex]
Mean scores [tex]=88.5[/tex]
Therefore,
Sum of all scores [tex]=10 \times 88.5[/tex] [tex]=\boldsymbol{885}[/tex]
Find out more information about mean here:
https://brainly.com/question/1363341?referrer=searchResults
A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns Write an equation that shows the relationship between n, the number of supervisors, and u, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.
Answer: The number of supervisors are 9 times the number of unicorns.
Step-by-step explanation:
Let the number of supervisors be 'n'.
Let the number of unicorns be 'u'.
According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.
So, Mathematically, it is expressed as
so, we established the relationship between the number of supervisors and number of unicorns.
Hence, the number of unicorns are 9 times the number of supervisors.
Write 0.09 as a fraction.
A) 1/11
B) 1/7
C) 1/99
D) 1/9
Answer would most likley be A i think because 1/11 is 0.0909090909091
can someone please help me
Answer: 14 units?
Step-by-step explanation: Sorry if its wrong.....
Today, everything at a store is on sale.The store offers a 20% discount. If the regular price of an item is x dollars, write an equation and find the regular price of a hat that has been discounted to $18
Answer:
$22.50
Step-by-step explanation: