Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables
seat 6. Let x represent the number of large tables and y represent the number of small tables. The
expression 10A +6B, which represents the total number of people you can seat using a large tables and
B small tables, is called a linear combination. For instance, 150 people could be seated using 3 large
tables and 20 small tables. Use that expression to enter an equation in standard form that models all the
different combinations of tables the restaurant could use. Then identify at least one possible combination
of tables other than (3, 20).
The equation is
Another possible combination is
).
Answer:
A=0, 3, 6, 9, 12, 15
B=25, 20, 15, 10, 5, 0
Step-by-step explanation:
What is the intersection of plane WXYZ and plane VUYZ?
Answer:
the first one
Step-by-step explanation:
the two planes intersect at line YZ, where they meet
tip: planes intersects at a line, just like how lines intersect at a point
hope this helps :)
300,000 to nearest 100,000?
Answer:
The answer is 3
Step-by-step explanation:
100,000 times 3 equal 300,000.
hope this helps you :)
What is the value of x?
Answer:
98 degrees
Step-by-step explanation:
First, find the value of the other angle of the triangle.
180-53-45 = 82
Then, subtract from 180 to find x. We do this because they both lie on the same line.
180 - 82 = 98
what is this answer and please show me how you got it so I can know how you got it.y= 3 [tex]\sqrt{x + 4} -6[/tex] please hurry also :0 giving 35 points to those who answer first
Help me with this pls anyone
Answer:
B
Step-by-step explanation:
x^2=3x-2(subtract 3x and add 2) x^2-3x+2=0(group) (x-1)(x-2)=0(find x) x=1;x=2
find y values for x values and check:
1^2=1, pair 1:(1,1); 3(1)-2=3-2=1, same pair
2^2=4, pair 2:(2,4); 3(2)-2=6-2=4, same pair
pairs: (1,1);(2,4)
Bi-conditional
You have a dog if and only if you have a pet. true or false
Answer:
False
Step-by-step explanation:
If the conditional statement was if you have a dog then you have a pet, that would be the biconditional statement. The conditional is true but since not both parts of the biconditional are true, it is false.
Does anyone know how to solve this? I really need help please.
Answer:
See Below
Step-by-step explanation:
angle BAK = 128
Find KAS
180 - 128 = 52
KAS = 52
find BKA and ABK
360 -128 = 232
232/2 = 116
BKA =116
ABK = 116
find AKS
180 - 116 = 64
AKS =64
Now you have KAS and AKS
add together and subtract sum from 360 to find BSK
52 + 64 = 116
360 - 116 =244
Let me know if incorrect, plz.
Hope this helps=)
What is the value of x?
2/7(x+4)= -6
O x=35
O x= -25
O x= 25
O x=35
Hey there!
2/7(x + 4) = -6
2/7(x) + 2/7(4) = -6
2/7x + 8/7 = -6
SUBTRACT 8/7 to BOTH SIDES
2/7x + 8/7 - 8/7 = -6 - 8/7
CANCEL out: 8/7 - 8/7 because it gives you 0
KEEP: -6 - 8/7 because it helps solve for the x-value
NEW EQUATION: 2/7x = -6 - 8/7
SIMPLIFY IT!
2/7x = -50/7
MULTIPLY 7/2 to BOTH SIDES
7/2 * 2/7x = 7/2 * (-50/7)
CANCEL out: 7/2 * 2/7 because it gives you 1
KEEP: 7/2 * (-50/7) because it helps solve for the x-value
NEW EQUATION: x = 7/2 * (-50/7)
SIMPLIFY IT!
x = -25
Therefore, your answer is: x = -25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
circumference C=25 units.
area: A = ?
Now use the graphing calculator to find the area of a circle, given it has a circumference of 25 in. Enter the equations below into the calculator.
The answer is 50. I have the same question and it makes no sense. The r= and the d= are supposed to have answers, but I’m not sure how you get them
what is the answer to 2,228 -(-15)? and how would you find the answer?
Answer:
33420
Step-by-step explanation:
PEMDAS
parenthesis first
then multiplication
so a negative(-) times a negative(-15) is a positive. SO it becomes positive 15 times 2228 and equals 33420
A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 times Kelly’s. If the total bill is $114.00, how much does each person owe?
Answer:
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Step-by-step explanation:
Let
Kelly's portion = x
Greg's portion = 2x
Joe's portion = 4x - 1.50
Total bill = $114.00
Total bill = Kelly's portion + Greg's portion + Joe's portion
114 = x + 2x + (4x - 1.50)
114 = 3x + 4x - 1.50
114 = 7x - 1.50
Add 1.50 to both sides
114 + 1.50 = 7x - 1.50 + 1.50
115.5 = 7x
Divide both sides by 7
x = 115.5 / 7
= 16.5
x = $16.5
Kelly's portion = x
x = $16.5
Greg's portion = 2x
= 2 × 16.5
= $33
Joe's portion = 4x - 1.50
= 4(16.5) - 1.50
= 66 - 1.50
= $64.5
Therefore,
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Can anyone help me with number 5?
Answer:
a
Step-by-step explanation:
A coordinate plane with a line passing through (negative 3, 2) and (0, 3) Find the linear function represented by the graph. The slope of the line is . The y-intercept of the line is at . What linear function is represented by the graph?
1/3
3
f(x) = (1/3)x+3
nice
Answer:
Find the linear function represented by the graph.
The slope of the line is
✔ 1/3
.
The y-intercept of the line is at
✔ 3
.
What linear function is represented by the graph?
✔ f(x) = (1/3)x + 3
Step-by-step explanation:
Use the information to answer questions 8 and 9.
Selena was given the expression 36 + 54.
What is the greatest common factor of 36 and 54? Show your work or explain how you identified the GCF.
Answer:
18
Step-by-step explanation:
the factors and prime factorization of 36 and 54. The biggest common factor number is the GCF number. So the greatest common factor 36 and 54 is 18.
Write the Linear Equation in Point-Slope Form for a line that has a slope of
-10 and passes through the point (8,2). *
Answer:
y = -10x + 82
Step-by-step explanation:
Plug in the slope and point into y = mx + b to solve for b:
y = mx + b
2 = -10(8) + b
2 = -80 + b
82 = b
Then, plug b and the slope into y = mx + b
y = -10x + 82 is the equation in point slope form.
2x=y=6
X+2y=-2
Solving system of equations
MY NOTES
ASK YOUR TEACHER
According to the Bureau of Labor Statistics, in a recent year, there were 16,359,000 women aged 25 to 34 who were employed and 5,309,000
who were unemployed but looking for work. What is the rate per 1,000 women aged 25 to 34 who were employed? Round to the nearest whole
number.
Answer:
The rate of employed per 1000 women is 754
Step-by-step explanation:
Given
Employed = 16,359,000
Unemployed = 5,309,000
Required
Rate per 1000 women of employed
In this case, Rate is calculated by dividing employed by total women
i.e.
[tex]Rate = \frac{Employed}{Employed + Unemployed}[/tex]
[tex]Rate = \frac{16359000}{16359000 + 5309000}[/tex]
[tex]Rate = \frac{16359000}{21668000}[/tex]
Represent the denominator as a factor of 1000
[tex]Rate = \frac{16359000}{21668 * 1000}[/tex]
Divide
[tex]Rate = \frac{754.288086}{1000}[/tex]
Approximate
[tex]Rate = \frac{754}{1000}[/tex]
Hence, the rate of employed per 1000 women is 754
If m<2=98, m<3=23, and m<8=70 find the measure of each missing angle
Answer/Step-by-step explanation:
Given:
m<2 = 98,
m<3 = 23,
m<8 = 70
m<1 + m<2 = 180° (linear pair)
m<1 + 98 = 180 (substitution)
m<1 = 180 - 98 (subtracting 98 from each side of the equation)
m<1 = 82°
m<2 + m<3 + m<7 = 180° (sum of angles in a triangle)
121 + m<7 = 180 (substitution)
m<7 = 180 - 121 (subtracting 121 from each side)
m<7 = 59°
m<4 = m<7 (alternate angles are congruent)
Therefore,
m<4 = 59°
m<5 + m<4 + m<3 = 180° (angles on a straight line)
m<5 + 59 + 23 = 180 (substitution)
m<5 + 82 = 180
m<5 = 180 - 82 (subtracting 82 from each side)
m<5 = 98°
m<6 + m<7 + m<8 = 180° (angles on a straight line)
m<6 + 59 + 70 = 180 (subtitution)
m<6 + 129 = 180
m<6 = 180 - 129 (subtracting 129 from each side)
m<6 = 51°
m<9 + m<8 + m<4 = 180° (sum of triangle)
m<9 + 70 + 59 = 180 (substitution)
m<9 + 129 = 180
m<9 = 180 - 129
m<9 = 51°
m<10 + m<9 = 180° (linear pair)
m<10 + 51 = 180° (substitution)
m<10 = 180 - 51
m<10 = 129°
Kristin goes to the mall and buys a pair of brand name sunglasses on sale
for 33% off the regular price of $240.00. About how much will she have to
pay?
Answer:
$79.20 savings.
which of these numbers is between 2 and -3 on the number line
HELP PLS WILL GIVE BRAINLISTE
Answer:
6%
Step-by-step explanation:
:0
Answer:
25%
Step-by-step explanation:
i did a quiz on this the right answer is 25%
Does noone know this ://?
calculate 4 cm as a percentage of 42 cm
0.0952% ≈ 10%
Step-by-step explanation:Hi !
42 cm ............... 100%
4 cm .......................x%
x = 4×100/42 = 400/42 = 0.0952% ≈ 10%
Good luck !
Determine if 8.5 represents a solution to the inequality 2x + 3 > 5
yes it is a solution
no it is not a solution
Answer: yes it is a solution
Step-by-step explanation: 2x+3>5 -> x>1
Which are vertical angels?
Answer:
Those angles are in opposite either in vertical or horizontal. They are opposite angles
What is the slope of the line that passes though the points:
(10,-2), (10,3)
Answer:
Undefined
Step-by-step explanation:
Write 6.384 to 1 decimal place
Answer:
6.384 rounded to one decimal place is 6.4
Step-by-step explanation:
The number rounded to one decimal place is 6.4.
What is rounding off a number?To change a number into an approximation having fewer significant digits.
Given that, 6.384 to 1 decimal place,
Rounding 6.384 to one decimal place would be the same as rounding it to the nearest tenth.
The tenth in this number is 3. To round a number up, look at the number to the right of it - if the number is 5 or greater, then you increase the value of the number you're rounding by 1. If the number to the right of it is 4 or less, then the value of the number you're rounding stays the same.
In this case, the number we're rounding is 3 and the number to the right of it is 8. Since 8 is greater than 5, we have to increase the value of 3 by 1, which means that the number in the tenths position is now 4.
Hence, The number rounded to one decimal place is 6.4.
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Employer A is offering you a position for $35,000 per year. Employer B is offering the same job for $18.00 per hour. Assuming both jobs require a 40-hour work week for 52 weeks, which job pays more?
Answer:
employer b
Step-by-step explanation:
he is offering 37,440.
Answer:
B
Step-by-step explanation:
D
AB = 21
DC = 3x
AD = y +7
BC = 2y
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram
by finding the lengths of the opposite side pairs.
A)
7.3
B)
14,7
21,7
D
21, 14
Answer:
D) 21,14
Step-by-step explanation:
How many thousands are in 4 hundread thousand and 4 tens?
Answer:
400
Step-by-step explanation:
400,040 has 400 thousands.