The midpoint between two co-ordinate points is the point between them.
To find the midpoint M between S and T, we use the formula below.
Formula:
M = [(x₁+x₂)/2, (y₁+y₂)/2].......... Equation 1From the question,
Given:
x₁ = 6x₂ = 7y₁ = -3y₂ = -2Substitute these values into equation 1
M = [(6+7)/2, (-3-2)/2]M = (13/2, -5/2)To calculate the distance between S and T, we use the formula below.
Formula:
d = √[(x₂-x₁)²+(y₂-y₁)²]............ Equation 2Substituting into equation 2
d = √[(7-6)²+(-2-(-3)]d = √(1+1)d = √2#SPJ2
What is the slope of the line in the graph below?
(look at picture)
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. How much will she pay altogether? Answer the questions to find out. 1. What is 40% of $20?
Answer:
Molly will pay $13.20 for the dress
40% of $20 is the discount, $8.00
Step-by-step explanation:
multiply dress cost by % you will pay, then add 10%
$20 x .60 then add 10%
$12 is dress with coupon, and 10% of that is $1.20
$12 + $1.20 is $13.20
10 of the students in Josiah's grade like to eat meatloaf. 11 students like to eat spaghetti, and 6 students like to eat both meatloaf and spaghetti. How many students like to eat meatloaf but not spaghetti?
Total stud=11+6=17
[tex]\\ \sf\longmapsto n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]\\ \sf\longmapsto 17=n(A)+10-6[/tex]
[tex]\\ \sf\longmapsto n(A)=17-4[/tex]
[tex]\\ \sf\longmapsto n(A)=13[/tex]
Cancel A intersection b[tex]\\ \sf\longmapsto A=13-6=7[/tex]
Question:
10 of the students in Josiah's grade like to eat meatloaf. 11 students like to eat spaghetti, and 6 students like to eat both meatloaf and spaghetti. How many students like to eat meatloaf but not spaghetti?
Answer:
Students eating meatloaf. = A
students eating sphegetti = B
A∩ B students like both
Total students =11+6=17
⟼n(A∪B)=n(A)+n(B)−n(A∩B)
⟼17=n(A)+10−6
⟼n(A)=17−4
⟼n(A)=13
⟼A= 13−6
=7
6. Find the coordinates of A if M-1, 2) is the midpoint of AB and B
has coordinates of (3.-5).
Answer:
A(-5,9)
Step-by-step explanation:
Let A(a,b)
Since M is the midpoint then of A(a,b) and B(3,-5) then
M( (a+3)/2 , (b-5)/2)
But it is given that M(-1,2)
So (a+3)/2 = -1 which implies a=-5
and (b-5)/2=2 which implies b=9.
Therefore A(-5,9)
What is the domain and range of the function y = xn if n is an odd whole number? if n is an even whole number?
A. If n is odd, domain is (−∞,∞) and range is [0, ∞); if n is even, domain and range are both (−∞,∞).
B. If n is odd, domain and range are both (−∞, ∞); if n is even, domain is (−∞, ∞) and range is [0, ∞).
C. In both cases, domain is (−∞, ∞) and range is [0, ∞).
D. Domain and range in both cases is (−∞ , ∞ ).
Domain and range are the possible x and y values, a function can take.
For the given functions:
If n is odd, domain and range are both (−∞, ∞)If n is even, domain is (−∞, ∞) and range is [0, ∞)Given that:
[tex]y = x^n[/tex]
When n is even.
Assume that [tex]n=2[/tex]
The equation becomes:
[tex]y =x^2[/tex]
See attachment for the graph of [tex]y =x^2[/tex].
From the graph, we can see that values of x extend to both sides of the x-axis.
So, the domain is: [tex](-\infty, \infty)[/tex]
However, the value of y starts from 0 and the curve opens upward. This means that y only take positive values.
So, the range is: [tex][0, \infty)[/tex]
When n is odd.
Assume that [tex]n =3[/tex]
The equation becomes: [tex]y = x^3[/tex]
See attachment for the graph of [tex]y = x^3[/tex].
From the graph, we can see that values of x and y extend to both sides of the x-axis and y-axis, respectively.
So, the domain is: [tex](-\infty, \infty)[/tex]
The range is: [tex](-\infty, \infty)[/tex]
Hence, option (B) is correct.
Read more about domain and range at:
https://brainly.com/question/1632425
Help! I don’t get this ine
[tex]3|2x+4|-1=11 \ \ /+1\\\\3|2x+4|=12 \ \ /:3\\\\|2x+4|=4\\\\2x+4=4 \ \ \text{or} \ \ 2x+4=-4\\\\2x=0 \ \ \text{or} \ \ 2x=-8\\\\\boxed{x=0} \ \ \text{or} \ \ \boxed{x=-4}[/tex]
Do I divide or multiply not sure
Answer:
x=40
Step-by-step explanation:
x= 360-(273+47)
Multiply 1 over 2 multiplied by negative 1 over 4 . Which of the following is correct?
a
negative 1 over 8
b
negative 1 over 9
c
negative 1 over 10
d
negative 1 over 16
Answer:
im pretty sure its A
Step-by-step explanation
solve by using cramers rule : 3x +2y = 1 , x-y = 2
Answer:
its 3hdnndndjsjshnanajzh z
There is a slide in a park. One of its side walls has been painted in some colour with a message "KEEP THE PARK GREEN AND CLEAN” (see Fig. 12.10 ). If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
Answer:
I don't know yujvhkjghjghhhgg
need help solving this equation: -4x + 33 = 2x + 81
[tex]\\ \sf\longmapsto -4x+33=2x+81[/tex]
[tex]\\ \sf\longmapsto -4x-2x=81-33[/tex]
[tex]\\ \sf\longmapsto -6x=48[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{48}{-6}[/tex]
[tex]\\ \sf\longmapsto x=-8[/tex]
Answer:
x = -8
Step-by-step explanation:
Collect the like terms
-4x - 2x = 81 - 33
-6x = 48
x = 48 / - 6
x = - 8
hey can you guys give me a list of what times 3 equal 25
Answer:
Nothing
Step-by-step explanation:
Nothing times 3 will equal 25
the difference of two numbers is 18. The larger number is five times the smaller number plus six. what are the numbers?
Answer:
3
Step-by-step explanation:
5x+6-x=18
5x-x=18-6
4x=12
4x/4=12/4
x=3
Use f(x) = 1/2 and f^-1(x) = 2x to solve the problems.
f(2)=
f^-1(1) =
f^-1(X2)) =
Answer:
Solution:
When X=2
f(2)=1/2
= 1/2
When X= 1
f^-1(1)= 2*1
=2
When X=2
f^-1(2)=2*2
= 4
Step-by-step explanation:
I don't know if these are correct and if that last question is f^-1(2) or not.
Sixth grade > H.5 Divide decimals by whole numbers: word problems TWZ
You
A chocolate factory made 708.89 pounds of milk chocolate in 5 days. How much milk
chocolate, on average, did the factory make per day?
Answer:
Step-by-step explanation:
708.89 / 5
= 141.788 pounds.
Explain why XYZ is a monorail and x+y+z is a trinomial
Answer:
hello
Step-by-step explanation:
:)
Answer:
XYZ is monomial because it is a single term and X+y+z is a trinomial because it has 3term
A clown earned $654 making balloon animals at a carnival. If the clown charged $6 for each balloon animal, how many balloon animals did the clown make
Answer:
The clown made 109 animal balloons.
Step-by-step explanation:
You'll divide 6 from 654.
654 ÷ 6 = 109
Do long division.
6 goes into 6, 1 time.
6 cannot go into 5 so you'll put 0.
6 can go into 54, 9 times.
109 is your answer.
Jason cooks 2 ⅛ cups of rice. Which statement correctly describes the number of cups of rice Jason cooks?
Answer:
2.13
Step-by-step explanation:
The number of cups of rice is a rational number because it can be written as 2.13
 One of these 80 students is chosen at random. what is the probability that the student went to the signs museum? (Is this correct?)
Answer:
PROBABILITY=42/80
=7/20
x to the power 2 + 7x +10
Resolve into factors
Answer:
The answer is (x+2)(x+5) . Determine two numbers that when added equal 7 , and when multiplied equal 10 . The numbers 2 and 5 fit these criteria.
PLEASE MARK ME BRAINLIEST.State the domain and range and state if it is a function or not
Step-by-step explanation:
the domain and range as stated in the pic.
it's a function
[tex]y = {x}^{2} - 1[/tex]
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought 5 more large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Answer:
7 large boxes an 2 small boxes
Step-by-step explaination
its obligatory to be 5 large boxes so i first did 350 * 5 =1750
then i just added a small box with a large until it gave the result
In HER COLLEGE ENGLISH CLASS MARTA WROTE A TOTAL OF. 15,000 WORDS IN ESSAYS THREE OF MARTA’S ESSAYS WERE 1,000 WORDS LONG AND THE REST ARE 2,000 WORDS LONG HOW MANY 2,000 WORD ESSAYS DID SHE WRITE
Answer: 6 essays
Step-by-step explanation:
With the given question, we can write out an equation.
Equation: 3(1000)+2000x=15000
We have 3(1000) because 3 of Marta's essays have 1000 words. We have 2000x because there are 2000 words, but we don't know how many essays. Lastly, we have 15000 because that is the total number of words. All we have to do is solve for x.
3(1000)+2000x=15000 [multiply]
3000+2000x=15000 [subtract both sides by 3000]
2000x=12000 [divide both sides by 2000]
x=6
Now, we know there are 6 essays.
a number w multiplied by 42
Answer:
42 = 1 x 42, 2 x 21, 3 x 14, or 6 x 7.
MATH
HELP
FIND THE EQUATION OF THE LINE
y=3/3x+-2
Step-by-step explanation:
it goes up 3 and over 3 so its 3/3 and it starts at -2
Hi there!
[tex]\large\boxed{y = \frac{3}{4}x - 2}[/tex]
y = mx + b
To find the equation, we can begin by deriving the slope (m):
slope = y2-y1/x2-x1
Find two points:
(0, -2) and (4, 1)
Plug these into the slope equation:
slope = 1 - (-2) / 4 - 0
slope = 3/4
We know that there is a y-intercept of y = -2 (b value), so:
y = 3/4x - 2
Can someone help me please
(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:
Step-by-step explanation:
Distance = √(x_2 - x_1)² + (y_2 - y_1)²
Distance = √[(-a) - a]² + (b - b)²
Distance = √[-2a]² + (0)²
Distance = √4a²
Distance = 2a
Pls help! URGENT ONLY DO QUESTION 21 PLS
Answer:
y = x - 8
Step-by-step explanation:
There's no magic method to doing these, and problem 21 makes it harder to see a pattern by using inputs that are not consecutive integers (like problem 20 does)!
Looking at inputs 20 and 21, the outputs are 8 less than the inputs. Check the other inputs and notice that the same pattern holds up.
help asap please 7 grade math
Answer:
The friend is incorrect
Explanation:
|x| is the absolute value, and absolute values cannot be negative therefore |-10| = 10.
What is 4 ten thousands 3 tens divided by 10
Answer:
The answer is : 4003.
because 40 030 : 10 = 4003
Thank You!