distance formula
sq root of (x2−x1)^2+(y2−y1)^2
sq root of (6−(−8))^2+((−1)−(−2))^2
simplify, its easier than it looks
sq root of 197
14.03566884
round to nearest hundreth
14.04
Sam works at a used car dealership, where he earns 7% commission on each sale. If he sells a car for $12,000 and another for $17,500, how much commission does Sam earn?
Answer:
$2,065
Step-by-step explanation:
The computation of the commission earned by Sam is shown below:
For each sale, he gets 7% commission
So,
For $12,000, the commission amount is
= $12,000 × 0.07
= $840
And, for another sale i.e. $17,500, the commission amount is
= $17,500 × 0.07
= $1,225
So, the total commission he earned is
= $840 + $1,225
= $2,065
Given the points R(-4, 5) and S(2, -1). Find RS, the midpoint of RS, and point P which is 13 of the distance from R to S. Leave your answer as a simplified radical.
Answer:
Step-by-step explanation:
Given the points R(-4, 5) and S(2, -1), to get the distance between the points, we will use the formula;
D = √(x2-x1)²+(y2-y1)²
Given x1= -4, y1 = 5, x2 = 2 and y2 = -1
RS = √(2-(-4))²+(-1-5)²
RS = √(6)²+(-6)²
RS = √36+36
RS = √72
RS = √2×36
RS = 6√2units
To get the midpoint, we will use the formula M(X,Y) = (x1+x2/2, y1+y2/2)
(X,Y) = (-4+2/2, -1+5/2)
(X,Y) = (-2/2, 4/2)
(X,Y) = (-1,2)
Hence the midpoint is (-1,2)
To get a point P 1/3 of the distance of RS, we will multiply 1/3 with the the distance RS as shown
P = 1/3 × 6√2
P = 2√2
Solve the two following simultaneous equations and find the possible values of x and y. [tex]x^2 +y^2-2xy = 64[/tex]
[tex]x^2 - y^2 = 40[/tex]
Step-by-step explanation:
If u assume x=y=1, then x+y=2 and x^2+y^2=2
And now, xy=1.
Therefore x=y=1.
Let me know, if anyone come with other answers too.
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Step-by-step explanation:
(*) x^2 + y^2 - 2xy = 64
<=> (x - y)^2 = 64
<=> x - y = 8 or x - y = -8
(**) x^2 - y^2 = 40
<=> (x - y)(x + y) = 40
Case 1: x - y = 8
(**) <=> 8(x + y) = 40
<=> x + y = 5
we have: x+y = 5 and x-y = 8
--> x = (5+8)/2 = 6.5
--> y = x - 8 = 6.5 - 8 = -1.5
so (x,y) = (6.5 , -1.5)
Case 2: x - y = -8
(**) <=> -8(x + y) = 40
<=> x + y = -5
we have: x + y = -5 and x - y = -8
--> x = [ (-5) + (-8) ]/2 = -6.5
--> y = -5 - x = -5 + 6.5 = 1.5
so (x,y) = (-6.5 , 1.5)
Answer: (x,y) = (6.5 , -1.5) and (-6.5 , 1.5)
please help assaapsapspaspaspapspaspapappspappspapsapsapsapsp
Answer:
I want to say C
Figure jkl is simular to fugure jkl :)
2x^2 - x/y if x =1.5 and y = 3
Answer:
4
Step-by-step explanation:
2x² - x/y
if:
x = 1.5
y = 3
2*1.5² - 1.5/3
2*2.25 - 0.5
4.5 - 0.5
4
Find the area of the polygon with the given vertices. N(-2,1), P(3,1), Q(3, -1), R(-2, -1)
Answer:
10
Step-by-step explanation:
N(-2,1), P(3,1), Q(3, -1), R(-2, -1)
The polygon is the rectangle with sides 2 and 5
So the area is 2*5 = 10
see attached
i need help ASAP this question is on a school assignment
Answer:
a)12
b)1/12
c)4/12
Step-by-step explanation:
a) the coin is a 1/2 and the dice is 1/6 so you times the bottom number and you get 12
b) since that is a exact one way to get it has to be 1/12 chance
c) so to only get a tails it would be 6/12 and less than 5 means you can get 1,2,3, and 4 so that is 4 ways out of 12 ways so its 4/12
Which sentence illustrates the distributive property?
I believe that C is correct!
Answer:
Yep. Answer is C
Step-by-step explanation:
The quotient of 8 divided by 1/5 will be less than or greater than 8.
help plz!
Answer:
less than 8
Step-by-step explanation:
Clarice adopted a puppy at the pound. He weighed 3.2 lb when she adopted him. Clarice graphed on a number line the weight of her puppy each week from the day she adopted him thorough week 8. Which best describes the numbers she graphed on the number line?
A.) Whole Numbers
B.) Integers
C.) Rational Numbers
D.) Real Numbers
There are exclusions that make the expression 27a^3-1/9a^3-6a+1 undefined
True or false?
Thank u to anyone that can help
false I believe.
I hope this helps-
Answer:
True
Step-by-step explanation:
I chose false and got it wrong.
What is the value of 4/15 divided by 2/3? A. 8/45 B. 14/15 C. 5/2 D. 2/5
What is the range of the function for the given domain?
y = 2x - 5
D: (-2,0, 2,4}
Select the correct answer.
OR: {-9, 0,-1,3}
OR: {9,-5, 9, 13}
OR: {-9, -5, -1,3}
OR: {-9, 0, 9, 13}
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 9 \: , \: - 5 \: , - 1 \: , \: 3 \: }}}}}[/tex]
Option C is the correct option.
Step-by-step explanation:
Here, y = 2x - 5 and domain ( D ) = { -2 , 0 , 2 , 4 )
when, x = -2 , Range = 2 × (- 2)- 5 = - 4 - 5 = -9
when, x = 0 , range = 2 × 0 - 5 = 0 - 5 = -5
when x = 2 , range = 2 × 2 - 5 = 4 - 5 = -1
when, x = 4 , range = 2 × 4 - 5 = 8 - 5 = 3
Range = { -9 , -5 , -1 , 3 }
Hope I helped!
Best regards! :D
Answer:
Step-by-step explanation:
A person runs 1/5 miles in 1/40
Hour The person's speed is
miles per hour.
Answer:
1/5 × 40 = 8
the person's speed is 8 miles per hour
Evaluate f(8) =(8-5)2 for f(8)
X=8
Answer: f(8) = 9
Step-by-step explanation:
PEMDAS: Solve for parenthesis first.
f(8)= (8-5)^2
(3)^2
Square that, you get 9.
jim paid 9.82 for a book. he told nora the cost was about 10 was 10 a reasonble amount
Write an addition number sentences that correspond to the arrow below
Plz help me with this
Answer:
$1.5Step-by-step explanation:
dollars: 7.5 -----------------------> ??
chicken wings 5 -----------------------> 1
to get 1 of 5 we have to divide 5÷5 = 1
so we have to divide the dollars by 5 too: 7.5÷5 = 1.5
HELP ME PLEASE!!!!!!
Beth enlarged the triangle below by a scale of 5. She found the area of the enlarged triangle. Her work is shown below.
What was Beth’s error?
She should have divided One-half (4) (3.5) by 5.
She should have divided One-half (4) (3.5) by 5 squared.
She should have multiplied (4) (3.5) by 5.
She should have multiplied One-half (4) (3.5) by 5 squared.
Answer:
The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.
Step-by-step explanation:
Originally Triangle has height =3.5cm and width=4cm
Beth enlarged the same triangle by scale of 5 and calculate area of triangle
The area of triangle as given as A= $$\frac{1}{2} \texrm{ (base) (height)}$$
Area of original triangle is A =$$\frac{1}{2}(3.5 \times 4)$$
Since, The triangle is enlarged by scale of 5
New height =3.5x5 = cm and new width=4x5cm
Area of new triangle is
A' = $$\frac{1}{2} (\textrm{new width} ) ( \textrm{new height})$$
A' = $$\frac{1}{2}(3.5 \times 5)(4\times 5)$$
A' = $$\frac{1}{2}(3.5 \times 4)(5^{2})$$
A' = $$A (5^{2})$$
Now, Looking what error beth made is:
Beth found Area of new triangle is A' = $$\frac{1}{2}(3.5)(4)(5)$$
The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.
Answer:
b
Step-by-step explanation:
Cost of Supplies: $759.67 per week Cost of Suppliesi $840.65 per week Cost of Payroll: $2300.50 per month Cost of Payroll: Once supplies are paid for, Cameli's Pizzeria pays each employee 7/8 of the amount earned for the month. Revenue: Week 1: $1500 Week 2: $1200 Week 3: $800 Week 4: $1420 Revenue: Week 1: $1740.25 Week 2: $1490.17 Week 3: $2807.13 Week 4: $650.35 Use the information from above to answer the following questions. Show your work in the space below cach question. a) How much money do the employves bom Plant Based Pizzeria eam per week How much money do the employees from Camelis vam by the end of the month?
The tax paid on the meal is represented by 0.05m.
my bad i put the wrong answer sometimes i put the wrong answer and i dont pay attention to it at all
X-2x-15??????
HELP!!!
Answer:
-x-15
Step-by-step explanation:
x-2x-15
1x-2x-15 (if a term doesn't have a coefficient then the coefficient is 1)
(1-2)x-15 (collect like terms by subtracting their coefficients)
-1x-15
-x-15 (when the term has a coefficient of -1, the number doesn't have to be written but the sign remains)
-12°F+ -23°F please don't let me down
Plus a negative value becomes subtraction:
-12 + -23 = -12 -23 = -35
The length of each edge of a cube is x centimeters. If x is an integer, why can't the volume of the cube equal 15cm. Show work please
Let's try some integer values of x to see what volumes we get
If x = 0, then x^3 = 0^3 = 0*0*0 = 0If x = 1, then x^3 = 1^3 = 1*1*1 = 1If x = 2, then x^3 = 2^3 = 2*2*2 = 8If x = 3, then x^3 = 3^3 = 3*3*3 = 27We do not get 15 as a result in that list above. So there are no integer solutions to x^3 = 15
In other words, the value [tex]\sqrt[3]{15}[/tex] is not an integer.
what is the answer to the problem 6=a/2+2
Answer:A=8
:)
8 divides by 2 would equal 4 and then you add 4 by 2 and it makes 6 :)
10/2
is it rational or irrational?
RATIONAL BECUZ ANYTHING THAT CAN WRITTEN AS A FRACTION IS RATIONAL. OK????
if anyone is good at algebra please help lol
Answer:
h(3x)=18x^2-12x-7
Step-by-step explanation:
[tex]h(x)=2x^2-4x-7\\h(3x) = ?\\\\h(3x) = 2(3x)^2 -4(3x)-7\\\\h(3x)=2\left(3x\right)^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-12x-7\\\\h(3x)=18x^2-12x-7[/tex]
Find the exact solution to the equation. (2 points) five to the power of quantity nine minus three x equals one hundred and twenty five.
Answer:
x = 2
Step-by-step explanation:
Five to the power of quantity nine minus three x equals one hundred and twenty five.
----------------------
5^(9 - 3x) = 1255^(9 - 3x) = 5^39 - 3x = 33x = 9 - 33x = 6x = 6/3x = 2Dion is laying brick down to make a patio. He plans for the patio to be 8.75 feet by 14.8 feet. He orders enough brick for 135 square feet. Which statement about the amount of brick is correct?
Dion estimated correctly by rounding up. He ordered enough brick. The exact area is 129.5 square feet.
Dion estimated correctly by rounding down. He ordered enough brick. The exact area is 129.5 square feet.
Dion did not estimate correctly by rounding up. He did not order enough brick. The exact area is 129.5 square feet.
Dion did not estimate correctly by rounding down. He did not order enough brick. The exact area is 129.5 square feet.
Answer:
__________________
I think the answer is A.
the first one
__________________
Answer:
A
Step-by-step explanation:
-3,-1, 0,3 Which pair of numbers has a sum of 0? which pair of numbers has a sum of 0
a. 0,-1
b. -3,3
c. -1,3
d. -1,0
Answer:
i think b but let me known if im wrong
Solve for a. 3x=a+3/b
[tex]3x=a+\frac3b\\\\-\frac3b\quad\ -\frac3b\\\\3x-\frac3b=a\\\\a=3x-\frac3b[/tex]
or, if you mean 3x=(a+3)/b :
[tex]{}\ \ 3x=\dfrac{a+3}b\\\\\times b\quad\ \ \times b\\\\3bx=a+3\\\\-3\qquad-3\\\\3bx-3=a\\\\a=3bx-3[/tex]