Answer:
(4)The lowest common denominator of 3 and 8 is 24.
(5) The lowest common denominator of 5 and 10 is 10.
(6) The lowest common denominator of 7 and 3 is 21.
(7) The lowest common denominator of 4 and 5 is 20.
(8) The lowest common denominator of 2 and 12 is 12.
(9) The lowest common denominator of 15 and 5 is 15.
Hope this helped! :)
1. A parking meter that is 1.6 meters (m) tall casts a shadow 3.6 m long. At the same time, a tree casts a shadow 9 m long.
1.6 m
3.6 m
9 m
What is the height, in meters, of the tree?
A - 20.24
B - 4.0
C - 32.40
D - 3.8
Answer: B - 4.0
Step-by-step explanation:
[tex]\frac{1.6}{3.6} =\frac{x}{9}[/tex]
(Cross multiply) [tex]3.6x=14.4[/tex]
[tex]\frac{3.6x}{3.6}=\frac{14.4}{3.6}[/tex]
[tex]x=4[/tex]
Pleasee help asap please help
Answer:
q6 : b=-22
Q7.60×4=3h. 240=3h. 80=3h
solve for x enter the solution from least to greatest (x - 1)^2 - 9 = 0 Lesser x = ___ greater x = ____
Answer:
X=4 or X=-2
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -2 .
-8 + 1 = -7
-4 + 2 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 2
x2 - 4x + 2x - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
2 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-4)
Which is the desired factorization
Equation at the end of step
1
:
(x + 2) • (x - 4) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
Solving a Single Variable Equation:
2.3 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
Supplement : Solving Quadratic Equation Directly
Solving x2-2x-8 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = x2-2x-8
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000
Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :
y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 8.0
or y = -9.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-2x-8
Axis of Symmetry (dashed) {x}={ 1.00}
Vertex at {x,y} = { 1.00,-9.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.00, 0.00}
Root 2 at {x,y} = { 4.00, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving x2-2x-8 = 0 by Completing The Square .
Add 8 to both side of the equation :
x2-2x = 8
Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1
Add 1 to both sides of the equation :
On the right hand side we have :
8 + 1 or, (8/1)+(1/1)
The common denominator of the two fractions is 1 Adding (8/1)+(1/1) gives 9/1
So adding to both sides we finally get :
x2-2x+1 = 9
Adding 1 has completed the left hand side into a perfect square :
x2-2x+1 =
(x-1) • (x-1) =
(x-1)2
Things which are equal to the same thing are also equal to one another. Since
x2-2x+1 = 9 and
x2-2x+1 = (x-1)2
then, according to the law of transitivity,
(x-1)2 = 9
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-1)2 is
(x-1)2/2 =
(x-1)1 =
x-1
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-1 = √ 9
Add 1 to both sides to obtain:
x = 1 + √ 9
Since a square root has two values, one positive and the other negative
x2 - 2x - 8 = 0
has two solutions:
x = 1 + √ 9
or
x = 1 - √ 9
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving x2-2x-8 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -2
C = -8
Accordingly, B2 - 4AC =
4 - (-32) =
36
Applying the quadratic formula :
2 ± √ 36
x = —————
2
Can √ 36 be simplified ?
Yes! The prime factorization of 36 is
2•2•3•3
√ 36 = √ 2•2•3•3 =2•3•√ 1 =
± 6 • √ 1 =
± 6
So now we are looking at:
x = ( 2 ± 6) / 2
Two real solutions:
x =(2+√36)/2=1+3= 4.000
or:
x =(2-√36)/2=1-3= -2.000
Which equation best represents the line?
y = 3x + 3
y = 1/2x − 3
y = 1/2x + 3
y = 3x + 1/2
Answer:
the third one, y = 1/2x + 3
Answer:
y = 1/2x + 3
Step-by-step explanation:
The y intercept is 3 and the slope is 1/2.
please help ! I will give 20 points ! ( also have a good day ! :D )
Answer: 7776 :^
Step-by-step explanation:
Which of the following expressions is equal to P/17
Answer:
a and b would work in my opinion because it doesn't say in which specific order.
Answer:
the answer is b
Step-by-step explanation:
im sorry if it was wrong
plz helppp!!!!! I NEED IT NOWW !!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
WHOEVER ANSWERS FIRST GETS A BRAINLIEST AND 20 POINTS
Which of the following is the algebraic form for the verbal statement shown?
"The sum of the 5 and a number results in 14"
A. n-5=14
B. 5-n=14
C. 5+n=14
D. n+14=5
Answer:
C
Step-by-step explanation:
clearly C can be interpreted as the said word problem
Answer:
C.
Step-by-step explanation:
and the number is 9
Because 9 + 5 = 14.
Your final bill is $51.28. This includes a 12% tip. What was the bill without tip?
Answer:
$45.13
Step-by-step explanation:
what is 12% of 51.28 change 12% to a decimal by moving two spaces to left =0.12. multiple by 51.28= 6.15 that is the amount of the tip then subtract it from 51.28-6.15= $45.13 original amount before the tip.
Please help.
A circle with radius 3 centimeters is cut from a square piece of felt.The sides of the felt square are 8 centimeter long. How much felt is left over? use 3.14 for π. Show your work.
Answer:
Step-by-step explanation:
The answer is 3.1372829462891
Plz Help Right Now Please Answer All Questions!
Your answers are all on the attachments and the explanations as well
Step-by-step explanation:
Click the attachments pleaseee!
hope this helped :3!
Find the GCF of 6 and 18.
Answer:
6
Step-by-step explanation:
6x1 = 6, 6x3 = 18
Answer:
The GFC of 6 and 18 is 6
Step-by-step explanation:
6 = 1, 2, 3, 6
18 = 1, 2, 3, 6, 9, 18
*Number that divides both 6 and 18 is 6*
___________________
Hope it helps!
Have a good day!
|5y-3|=15 Solve for Y
Answer:
The two roots are -12/5 and 18/5
Step-by-step explanation:
One way of simplifying the work involved here is to isolate y: start this by dividing all 3 terms by 5, obtaining:
|y - 3/5| = 3
Then 3/5 is the 'center' and 3 is the distance from this center to each of the two roots.
First root is 3/5 + 3, or 3 3/5, or 18/5.
Second root is 3/5 - 3, or -2 2/5, or -12/5
FREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEPOINTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTSSSSSSSSSSSSSSSSSS
JUST KIDDING OKAY DONT STEAL Y POINTS ANSWER THIS LZ Who here is in k12 online school 7th 2021 PLEASE DONT answer if ur not plz?
Answer:
its about drive
its about power
Step-by-step explanation:
what percentage is 879.75 of 900
Write 28 x 32 in commutative property. No links!
32 x 28
you just have to flip them, and it'll be commutative! :D
HELP ME PLEASE ASAP!!!!!!!!!!!!!!!!
[tex]\dfrac{x}{4} < -1.5\\\\\implies \dfrac x4 < -\dfrac 32\\\\\implies x < -\dfrac{3}2 \times 4\\\\\implies x< -\dfrac{12}2}\\\\\implies x<-6[/tex]
question 5 please answer
help plz:
14. Factor the following:
a. x^2 - 25
b. y^2 - 36
c. x^2 - 14x + 13
d. s^2 + 7s + 10
Answer:
a.(x+5)(x-5) b.(y+6)(y-6) c.(x-1)(x+13) d. (s+2)(s+5)
Step-by-step explanation:
Sorry no step for c and d
for a 25 is a perfect square 5*5=25 -5*5=-25
for b it's same
sorry I'm rushing
Answer:
Its A i do believe
Step-by-step explanation:
Point p is shown on the number line below
The distance between point q and point p is 6 1/2 units. Which number could represent point Q? ( Show work to get brainliest )
Answer:
2.5
Step-by-step explanation:
The distance between P and Q is 6.5.
P = -4
-4 + 6.5 = 2.5
Therefore Q = 2.5
The number to represent point Q is,
⇒ 2.5
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Point p is shown on the number line.
⇒ P = - 4
The distance between point q and point p = 6 1/2 units
Now,
Let the position of the point Q = x
Here, The distance between point q and point p = 6 1/2 units
Hence, We get;
⇒ x - (- 4) = 6 1/2
⇒ x + 4 = 13/2
⇒ x + 4 = 6.5
⇒ x = 6.5 - 4
⇒ x = 2.5
Thus, The number to represent point Q = 2.5
Learn more about the number line visit:
https://brainly.com/question/24644930
#SPJ2
i need help and fast
(PLEASE HELP, BRAINLIEST IF CORRECT) A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the cylinder?
Choices:
A. 10 Cubic Inches
B. 15 Cubic Inches
C. 30 Cubic Inches
D. 60 Cubic Inches
E. 90 Cubic Inches
(219,379.01 - x) / x = .3321
Answer:x = 164686.592598
Step-by-step explanation:
219379.01−x/x = 0.3321
−x+219379.01/x = 0.3321
Step 1: Multiply both sides by x.
−x+219379.01≈0.3321x
−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)
−1.3321x + 219379.01 = 0
−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)
−1.3321x = −219379.01
−1.3321x/−1.3321 = −219379.01/−1.3321
(Divide both sides by -1.3321)
x = 164686.592598
Answer:
164,686.59
Step-by-step explanation:
Carry out the division, then solve for x.
(219,379.01 - x) / x = .3321 . . . . . given
219,379.01/x -1 = 0.3321
219,379.01/x = 1.3321 . . . . add 1
219,379.01/1.3321 = x ≈ 164,686.59 . . . . multiply by x/1.3321
Rounded to 8 significant digits, the value of x is 164,686.59.
_____
The fractional portion is 7894/13321, which has a very long repeating decimal equivalent.
A middle school has an oval track with the dimensions shown. What is the distance around the track? use 3.14 for π. show your work.
Write an equation for the constant of proportionality.
Answer:
they r all multiple by 3
Step-by-step explanation:
2×3=6
4×3=12
6×3=18
8×3=24
10×3=30
Answer:
Step-by-step explanation:
as hotdogs (x) increase by 2 the cost (y) increases by 6
6/2 = 3/1 = 3
y = 3x
please help me I need help this is due today.
Step-by-step explanation:
the equation is y=mx + b. the m (or the thing that comes before the x in the equation) is your slope, the y intercept is the last number. if the last number is preceded by a minus sign, the intercept number is negative
Answer:
For example, number 1's slope is 5/3. On a graph, you would go up 5 (not in block, but in numerical value) and right 3. The y-intercept is -2. This is where your line starts on the graph.
Step-by-step explanation:
y=mx+b b= y-intercept y-intercept=where the line crosses the y-axis m=slope slope== rise/run or slope formula, m=y2-y1/x2-x1
How can you tell when a rate is a unit rate?
Each of the numbers in the rate are single digit numbers.
Each of the numbers in the rate are single digit numbers.
It has a label.
It has a label.
It has a numerator of 1.
It has a numerator of 1.
It has a denominator of 1.
It has a denominator of 1.
Answer:
It has a numerator of 1
will giver brainliest to the person with the most detailed answer. That means tell me how you got ur answer. And the person who answers with the most clear explanation as well. Good luck!! This is due in 8 minutes as well. And pls number ur answers in order so it is clear!!
Answer:
Step-by-step explanation:
2(3y + 7 + 5) = 196 - 16
what’s the value of y?
And tell me how you know this and why or Y ahahahahahaha
Answer:
y=60
Step-by-step explanation:
196 - 16 = 180
7 + 5 = 12
12 + 3y = 15y
2 * 15y = 30y
180 ÷ 30 = 60
y = 60
Answer:
y=26
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3y+7+5)=196-16
Step 1: Simplify both sides of the equation.
2(3y+7+5)=196-16
(2)(3y)+(2)(7)+(2)(5)=196+-16 (Distribute)
6y+14+10=196+-16
(6y)+(14+10)=(196=-16) (Combine Like Terms)
6y+24=180
Step 2: Subtract 24 from both sides.
6y+24-24=180-24
6y=156
Step 3: Divide both sides by 6.
6y/6 = 156/6
y=26
Reduce to simplest form.
12/11 - (-2/3) =
Answer:
58 /33
Step-by-step explanation:
Use math-way for math questions:)
Answer:
58/33
Step-by-step explanation: