) What is the distance between this pair of points?
(-5, 2) and (-5, 6)
Answer:
[tex]d=4[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(-5-(-5))^2+(6-2)^2}[/tex]
[tex]d=\sqrt{(-5+5)^2+(4)^2}[/tex]
[tex]d=\sqrt{(0)^2+16}[/tex]
[tex]d=\sqrt{0+16}[/tex]
[tex]d=\sqrt{16}[/tex]
[tex]d=4[/tex]
1. Find the LCM of 35,14 using prime factorization.
2. Find the LCM of 15,12 using prime factorization.
3. Find the LCM of 5,9,15 using prime factorization.
4. Find the LCM of 8,10,12 Using Prime factorization.
If you answer I promise I will make you the brainiest, like and I will vote 5
Answer:
Step-by-step explanation:
1) 35 = 5 * 7
14 = 2 * 7
LCM = 2 * 5 * 7 = 70
2) 15 = 3 * 5
12 = 2 * 2 * 3
LCM = 2* 2 * 3 * 5 = 60
3) 5 = 5
9 = 3 * 3
15 = 3 * 5
LCM = 3*3 * 5 = 45
4)8 = 2 * 2 * 2 = 2³
10 = 2 *5
12 = 2 * 2 *3 = 2² * 3
LCM = 2³ * 3 * 5 = 120
Akiko wants to fence in her [tex]12[/tex] ft by [tex]10[/tex] ft vegetable garden. There will be a path [tex]x[/tex] ft wide between the garden and the fence. The area to be enclosed by the fence will be [tex]360[/tex] sq ft. Write a quadratic function that can be used to determine the value of [tex]x[/tex].
Answer:
see below
Step-by-step explanation:
The length is 12 + 2x and the width is 10 + 2x
A = l*w
360 = ( 12+2x) ( 10+2x)
FOIL
360 = 120 + 24x+20x + 4x^2
Combine like terms
360 = 4x^2 +44x+120
Subtract 360 from each side
0 = 4x^2 +44x +120-360
0 = 4x^2+ 44x -240
For fun, lets solve
0 = 4( x^2 + 11x - 60)
0 = 4( x+15) ( x-4)
Using the zero product property
x= -15 x=4
Since we cannot have negative length
x=4 ft
Answer:
[tex]x^2+11x-60=0[/tex]
Step-by-step explanation:
Refer to the drawing.
We know that the area enclosed by the fence is 360 square feet. Remember that the area for a rectangle is given by the following formula:
[tex]A=bh[/tex]
So, let's substitute 360 for A, (12+2x) for b, and (10+2x) for h. This yields:
[tex]360=(12+2x)(10+2x)[/tex]
We can simplify this. On the right, factor out a 2 from the first term and a 2 from the second. This yields:
[tex]360=2(6+x)\cdot2(5+x)[/tex]
Multiply:
[tex]360=4(x+6)(x+5)[/tex]
Divide both sides by 4:
[tex]90=(x+6)(x+5)[/tex]
Multiply on the right:
[tex]90=x^2+6x+5x+30[/tex]
Add on the right:
[tex]90=x^2+11x+30[/tex]
Subtract 90 from both sides. So, our equation is:
[tex]x^2+11x-60=0[/tex]
And we're done!
POSSIBLE POINTS: 3
You go to the football game, and admission is $5 and it costs $1 per snack.
The slope is
The y-intercept is
If you have $12, you can go to the game and buy snacks
1
2
3
Next
c)
Answer:
4 snack
Step-by-step explanation:
12 - 5 = 4
I can buy 3 cans of soda for $1.05. How many cans can buy at the same rate for $21?
Answer:
20 cans
Step-by-step explanation:
Divide $21 by $1.05 and you get 20.
Answer:
60 cans of soda
Step-by-step explanation:
3 cans of soda for $1.05
$21 = ? cans of soda
21 / 1.05 = 20
so if 20 $1.05's fit in $21 then how many cans fit in $21
20 x 3 = 60
you can buy 60 cans of soda with $21
There are 3 consecutive integers. If the smallest one is n, find the sum of 3 integers.
Answer:
3n + 3Step-by-step explanation:
The consecutive integers are increasing by 1
n ← the smallest integer
n+1 ← the middle integer
n+1+1 = n+2 ← the largest integer
The sum:
S = n + n+1 + n+2
S = 3n + 3
(NEED HELP WILL MARK BRAINLIEST)
_____is the effort to improve something by correcting faults.
A. "Sacrament"
B. "Reform"
C. "Contradict"
D. "Indulgent"
Explain your answer
Answer:
D
Step-by-step explanation:
Answer: Reform
Step-by-step explanation:
Reform means make changes in order to improve it.
I am a square number. The sum of my digits is 9. What square numbers might I be?
Peter wants to rent an apartment for six months . What kind of lease should he look for
Answer:
A short-term lease
Step-by-step explanation:
Answer:
A 6 month lease. NOT a yearly lease.
What is the value of x?
Answer:
31 degrees
Step-by-step explanation:
149 + 149 = 298
360 - 298 = 62
62 / 2 =31
Answer:
61 degrees
Step-by-step explanation:
you know that there is a strait line which is equal to 180. So if you subtract 149 from 180 you get 31 which is the angle included with x. therefore you subtract your total number, which is 92 by 31 and you get 61 degrees
Deondre bought a new PlayStation for 480.50 there is a 6.5% sales tax what is the total amount that deondre paid
Answer: $511.73
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This equation shows how the total amount of paper Addison's office has recycled depends on the number of weeks since they started the new recycling plan.
p = w + 16
The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Addison's office to recycle a total of 19 kilograms of paper?
(?) weeks
Answer:nbdbndndndnd
Bsbsnsndndnsh
Step-by-step explanation:
Dnndbdndnndndndnnd
8/2(2+2) = ? Please explain in as much detail as possible.
Answer:
16
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Write expression
8/2(2 + 2)
Step 2: Evaluate
Parenthesis (add): 8/2(4)Divide: 4(4)Multiply: 1614 POINTS AND BRAINLIEST HELP IM TAKING A TIMED TEST!! SHOW ALL WORK
Answer:
-1.5Step-by-step explanation:
Solving in steps
(x-2)/7 = (2x+1)/44(x-2) = 7(2x +1)4x - 8 = 14x + 714x - 4x = -8 - 710x = - 15x = -15/10x = -1.5The product of four and a number +17 is five
Answer: n = -3
.........................
5662 rounded to the nearest 100
Answer:
5700
Step-by-step explanation:
Answer:
5700
Step-by-step explanation:
I will give away all my points if you can answer this with no sweat.
Answer:
4
Step-by-step explanation:
it would equal 2^7/2^5, which equals 2², which equals 4
Use digits to write the value of the 9 in this number.
139,648
Answer:
9,000
Step-by-step explanation:
the 9 is in the thousands place
( just turn every digit after it into a 0)
The value of 9 in the number, 139648, is 9000.
What is the place value?The value of each digit in a number is known as the place value. Depending on where it is in a number, it describes each digit's value.
The given number is 139648.
Note that the position of 9 is at thousands place, therefore, the value of 9 in this number is 9000.
Hence, the value of 9 in the number, 139648, is 9000.
Learn more about the place value:
https://brainly.com/question/27734142
#SPJ2
Jonathan and Pedro are collecting clothes for a clothing drive. Pedro collected 1/2 as many
clothes as Jonathan did. If Jonathan collected 4 bags of clothes, how many bags of clothes
did Pedro collect?
Writo your answer as a fraction or as a whole or mixed number.
Answer:
2
Step-by-step explanation:
4/2=2
Solve for x:
4x - 12 = 8x + 24
Answer:
4x-12=8x+12
-24=4x
-6=x
Step-by-step explanation:
put the variables to one side and numbers to the other side
then divide 4 from each side
now you have the answer
Answer: -9
Step-by-step explanation:
To solve the equation, isolate the variable, then use basic arithmetic.
Subtract 4x on both sides to obtain the equation:
-12 = 4x + 24
Subtract 24 on both sides to isolate 4x, and obtain the equation:
-36 = 4x
Finally, divide both sides by 4 to obtain the following:
-9 = x
On Monday, 454 students went on a trip to the zoo. All 9
buses were filled and 4 students had to travel in cars. How many students were
in each bus ?
Answer:
50 students were in each bus.
Step-by-step explanation:
We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.
1) -6 < 3х – 4x
Can some one help me
combine like terms
-6<-1x
divide by negative 1 on both sides
flip the sign when dividing by a negative number
6>x is the answer.
Answer:
[tex]\boxed { x < 6}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]-6 < 3x - 4x[/tex]
-Combine like terms:
[tex]-6 < 3x - 4x[/tex]
[tex]-6 < -x[/tex]
-Switch sides:
[tex]-6 < -x[/tex]
[tex]-x > -6[/tex]
-When you are dividing an integer by a negative integer, then the inequality sign would change. So, to get the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} > \frac{-6}{-x}[/tex]
[tex]\boxed { x < 6}[/tex]
solve.
6- X = 2x + 9
7x – 5(х + 8) = 5х – 28
Step-by-step PLEASE!!!!
Answer:
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
7x – 5(х + 8) = 5х – 28
7x - 5x + (-40) = 5x - 28
+ 5x + 5x
7x + (-40) = 10x - 28
- 7x - 7x
-40 = 3x - 28
+ 28 + 28
-12 = 3x
Then divide.
-4
For the points A(-3, 2), B(-3, 7), and C(2, 7), find the equation of the line
through B perpendicular to line AC.
Answer:
The equation of the line perpendicular to AC and passing through point B is y = -x + 4
Step-by-step explanation:
We start by finding the slope and equation of line AC
The equation of a straight line can be given as;
y = mx + c
where m is the slope and c is the y-intercept
Mathematically, the slope is given as;
m = (y2-y1)/(x2-x1)
m = (7-2)/(2-(-3)) = 5/5 = 1
So the equation becomes ;
y = x + c
We only need the slope since we are trying to get another line perpendicular to this
If two lines are perpendicular, then the product of the slopes of both lines is equal to -1
This means that m1 * m2 = -1
So this means that the slope of the perpendicular line is -1/1 = -1
Thus, the equation of the line we are finding would be;
y = -x + c
since it passes through line B, we can make a substitution of the coordinates of point B
That would be;
7 = -(-3) + c
7 = 3 + c
c = 7-3
c = 4
So the equation of that line is;
y = -x + 4 or simply y = 4-x
A line contains exactly one point.
Answer:
False
Step-by-step explanation:
A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.
Answer:
A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.
Step-by-step explanation:
What is the value of x in the proportion below?
57=x21
Answer:
x=2.7
Step-by-step explanation:
21x=57
21x/21=57/21
x=2.7
Answer:15
Step-by-step explanation:
three friends go shopping together, and each buy the same kind of oranges. LaMar buys 2 pounds (lb) and pays $5.00. Enrico buys 3 pounds and pays $7.50. Anna buys 1.5 pounds and pays $3.75.
identify the graph and unit price that represents the orange cost.
Answer:
B.
Step-by-step explanation:
I chose B because goes through zero. Sorry if it wrong.
Answer: c
Step-by-step explanation:
just say your welcome
Write 0.0007267 in scientific notation.
Answer:
7.267 × 10 (exponent − 4)
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
7.267 X [tex]10^{-4}[/tex]
Step-by-step explanation:
A 7-day cruise is 15% off the regular price of $1,800. How much is the discount?
Answer:
The discount is $270
The new price would be $1,530
Step-by-step explanation:
You just multiply 1800 times 0.15 to get how much the discount would be and then if you are trying to find the new price you would subtract the discount or multiply 1800 times 0.85 because 100-15 is 85.