Answer:
end point ₂ of a segment X₂ = - 22 ; Y₂ = 29
Step-by-step explanation:
given;
midpoint = ( Mx = - 15 , My = 22 )
endpoint ₁ = ( X₁ = - 8 , Y₁ = 15 )
find the other endpoint ₂ ( X₂ , Y₂)
use the mid point formula to get the other endpoint:
Mx = ( X₁ + X₂ ) / 2 My = ( Y₁ + Y₂ ) / 2
- 15 = (-8 + X₂) / 2 22 = (15 + Y₂) / 2
-30 = - 8 + X₂ 44 = 15 + Y₂
X₂ = -22 Y₂ = 29
Answer:
So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is: ((x 1 + x2)/2, (y 1 + y 2 )/2 {Average of the x coordinates, average of the y coordinates}. For this problem we know the coordinates of the midpoint along with one of the endpoints.
Step-by-step explanation:
Use the midpoint formula
M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
(9, 0) = ( (x1 + 12) / 2 , (y1 + 3) / 2)
Break up this formula into two equations.
(x1 + 12) / 2 = 9 and (y1 + 3) / 2 = 0
Solve for x1 and y1 from the equations.
d = 125 - 55h math identify and interpret the independent variable
Answer:
h is independent variable
Step-by-step explanation:
The value of d depends on h. Therefore h is independent variable.
The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs 3.99 per bottle. Older kittens need wet cat food which costs 1.5 per can.
Answer:
Step-by-step explanation:
A.) Let z be the variable denoted for the total cost of all kitten supplies. Then, let x be the number of bottles and let y be the number of cans. The equation would be:
z = 3.99x + 1.50y
The coefficients are 1 for z, 3.99 for x and 1.50 for y.
There are no constants.
The variables are z, x and y.
Part B.) Substitute x=30 and y=120 to the equation in part A to determine z.
z = 3.99(30) + 1.50(120)
z = $299.7
Part C.
Sales tax would be 7% of the total cost. This would be added as a constant. The expression would be:
z = (3.99x + 1.50y)(1+0.07)
Substituting x=30 and y=120,
z = (3.99*30 + 1.50*120)(1+0.07)
z = $320.679
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes?
Answer:
The markup for the shoes is 20 percent.
Step-by-step explanation:
2a=+2b=c solve for b
Step-by-step explanation:
pls make me as brainleist
Substitute the value of x back into the equation x + 3 – 2x = negative 2 x equals negative StartFraction one-fourth EndFraction plus StartFraction one-half EndFraction x plus 5. + x + 5 to justify the solution. What value of x is the solution?
Answer:
first one is -1 and the second question that comes up is 1, 2, and 6
Step-by-step explanation:
edge 2020
There are bacteria in a petri dish. After 20 minutes, every bacterium splits into two. Explain how you can use the properties of exponents to write an expression for the resulting number of bacteria.
Answer:
[tex]T_n = \frac{2^na}{2}[/tex]
Step-by-step explanation:
Given
Bacteria splits to 2 at every 20 minutes
Required
Explain how to get the resulting number of bacteria
To do this we simply make use of geometric progression formula;
[tex]T_n = ar^{n-1}[/tex]
In this case; r = 2 (rate at which they split);
[tex]T_n = a * 2^{n-1}[/tex]
a represents the initial number of bacteria in the dish
Apply law of indices
[tex]T_n = a * \frac{2^n}{2^1}[/tex]
[tex]T_n = a * \frac{2^n}{2}[/tex]
[tex]T_n = \frac{2^na}{2}[/tex]
Assume, we want to determine the number of bacteria at the 10th 20 minutes (in other words, 200 minutes), the value of n will be 10
Simplify 15-10.24
Please help timed assignment!
Answer:
4.76
Step-by-step explanation:
Simplify 16 + 5.6 + 0.681
Answer:
16+5.6..to solve it yiu will have to put it like this...
16.0+5.6=21.6.
21.6+0.681=22.281.
On simplifying we get the answer as 22.281
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here, the expression is 16 + 5.6 + 0.681 =22.281
Hence, on simplifying we get the answer as 22.281
Learn more about the BODMAS rule here:
https://brainly.com/question/29795897
#SPJ2
If the trip from Paris, France, to Geneva, Switzerland, takes 5 hours, and the train travels at 130 miles per hour, how many miles from Paris is Geneva?
Answer: 650 miles
Step-by-step explanation:
If it takes 5 hours to go from Paris to Geneva and a train is travelling at 130 miles per hour then multiply the total number of miles per hour by 5 to find how many miles you will have to travel from Paris to Geneva.
130 * 5 = 650
will give brainliest! please help!! label the diagram with the correct measure of of each lettered angle & explain the angle relationships with n, p & q
Answer:
a 64°
b 116°
c 116°
d 64°
e 108°
f 72°
g 108°
h 72°
i 108°
j 108°
k 108°
m 105°
n 79° = opposite angle
p 90° = 180-90=90
q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64. 180-64=116
s 72°
t 119°
Step-by-step explanation:
a 64°
b 116°
c 116°
d 64°
e 108°
f 72°
g 108°
h 72°
i 108°
j 108°
k 108°
m 105°
n 79° = opposite angle
p 90° = 180-90=90
q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64. 180-64=116
s 72°
t 119°
Answer:
d = 64°
c = 180° - 64° = 116°
a = 64°
b = 180° - 64° = 116°
m = 180° - 75° = 105°
t = 180° - 61° = 119°
f = 180° - 108° = 72°
g = 108° = e
h = 180° - 108° = 72°
i = j = g = 108°
k = i = 108°
s = 180° - 108° = 72°
n = 79°
p + n + 75° + q = 360° (their vertices form a quadrilateral)
--> q = 360° - 90° - 79° - 75° = 116°
(i see that n,p,q don't have any special relationships at all but i'm not sure about that, sorry)
You hungrily remove frozen meat from the fridge. Its temperature is 28
degrees Fahrenheit. Its temperature is increasing by 3 degrees Fahrenheit
every five minutes. What will its temperature be after 30 minutes?
Factorise 2xy-2x+6-6y
Answer:
2(y−1)(x−3)
Step-by-step explanation:
Factor 2xy−2x+6−6y
2xy−2x−6y+6
=2(y−1)(x−3)
Question 5 Parent Function Graph
Answer:
a. Linear
A linear line is straight.
please help me with this problem
Answer:
y = 4
Step-by-step explanation:
If two triangles are similar then,
i) Corresponding angles will be equal
ii) Corresponding sides will be in the same ratio.
[tex]\frac{AC}{EF}=\frac{CB}{FD}\\\\\\\frac{12}{y}=\frac{15}{5}\\\\[/tex]
Cross multiply,
12*5 = y*15
y*15 = 12*5
[tex]y=\frac{12*5}{15}\\[/tex]
y = 4
Answer:
∠DEF = 60
x = 11.4
y = 4
Step-by-step explanation:
Step 1: State what is known
The question tells us that Triangle ABC is similar to Triangle EFD, We know similar angles share the same angles and the sides are similar to the corresponding side
Step 2: Find the unknown angle
Because we know the triangles are similar we need to find ∠BAC to solve for 'z'
z = 180 - 55 - 65
z = 60
Step 3: Find the unknown side with the ratio
We know 1 pair of sides BC and DF and it gives us a ratio of BC : DF or 3 : 1
We can set the ratios equal to an unknown side to solve:
3 : 1 = 12 : y
We can multiple 3 : 1 by 4 to get the 'y'
12 : 4
y = 4
3 : 1 = x : 3.8
We can multiple 3 : 1 by 3.8 to get 'x'
11.4 : 3.8
x = 11.4
Therefore ∠DEF = 60, side x = 11.4 and side y = 4
The parallelogram shown below has an area of 15 squared. Find the missing height. h=? units
Answer:
5 units
Step-by-step explanation:
The area of a parallelogram is given by the formula:
[tex]A=bh[/tex]
Where b is the base and h is the height.
So we know that the area is 15. We can also see that the base is 3. Thus:
[tex]15=3h[/tex]
Divide both sides by 3:
[tex]h=5[/tex]
So, the height is 5 units.
Answer:
h=3 units
Step-by-step explanation:
Equation for finding the area of a parallelogram:
b·h=area
Equation for this answer:
3·h=15
So divide 15 by 3 and you will get your answer.
15÷3=5
So the answer is:
3·5=15
What is the greatest common factor of 30, 45, and 35?
Answer:
5
Step-by-step explanation:
Answer:
The prime factors of 30 are 2 x 3 x 5. The prime factors they have in common are 3 x 5. 3 x 5 = 15. The greatest common factor is 15
The greatest common factor of 35 and 15 is 5. The 'greatest common factor' is sometimes called the 'GCF.
Greatest Common Factor (GCF) of two numbers
the factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40, and the factors of 50 are 1, 2, 5, 10, 25 and 50.
Step-by-step explanation:
there are two baskets each of them containing 18 apples 10 apples are rotten and not fit for eating you add 4 more apples and then divided among 6 friends .how many apples would each get??
Answer: 5
Step-by-step explanation: 2 baskets containing 18 each= 36 -10 rotten apples = 26 +4 apples= 30 divided by 6 friends is 5 each
Step-by-step explanation:
Two baskets containing 18 apples = 36
and 10 apples are rotten = 36 - 10 = 26
and you add 4 more apples = 26 + 4 = 30
again,
you divide among 6 friends = 30 ÷ 6 = 5
Therefore, 5 apples each!
-7/4+0+-9/5+19/10+11/4
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
bbbbbbbbb
The value of 1.999... in the form p/qwhere p and q are integers and q not
equal to 0 is
Answer:
Step-by-step explanation:
1999/1000
Answer:
1999/1000
please mark me a brainlist
Combine the like terms: 2x + 5 + 3
Answer:
2x + 8
Step-by-step explanation:
Step 1: Write out expression
2x + 5 + 3
Step 2: Combine like terms (only constants here)
5 + 3 = 8
2x + 8
Answer:
2x + 8
Hope this helps!
Rewrite the expression in the form o
[tex] {a}^{n} [/tex]
Answer:
a^ (5/2)
Step-by-step explanation:
a^5 ÷ a ^ (5/2)
We know that x^b ÷ x^c = x^ ( b-c)
a^ ( 5 - 5/2)
a^ ( 10/2 - 5/2)
a^ (5/2)
Answer:
[tex]a^{\frac{5}{2} }[/tex]
Step-by-step explanation:
Using exponent rules, if we have [tex]a^x \div a^y[/tex] then the result can simplify to [tex]a^{x-y}[/tex]
So [tex]a^5 \div a^{\frac{5}{2}}[/tex] is the same as [tex]a^{5 - \frac{5}{2}}[/tex].
[tex]\frac{5}{1} - \frac{5}{2} = \frac{10}{2} - \frac {5}{2} = \frac {5}{2}[/tex]
So [tex]a^{\frac{5}{2}}[/tex].
Hope this helped!
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
p – 7 = 13 – 3p
2p – 7 = 13
3p – 7 = 13 – p
4p – 7 = 13
Answer:
4p - 7 = 13
Step-by-step explanation:
The first step of the solution should be to simplify the left side by combining like terms. In this case, 3p and p are the like terms and 3p + p = 4p so the answer is 4p - 7 = 13.
Answer:
4p - 7 = 13
Step-by-step explanation:
find mn if mn = x+1, nr=3x and mr =11
Answer:
mn = 3.5 unit
Step-by-step explanation:
Given:
mn = x+1 unit
nr = 3x unit
mr = 11 unit
Find:
mn
Computation:
mr = mn + nr
11 = x+1 + 3x
11-1 = x + 3x
10 = 4x
x = 10/4
x = 2.5 unit
So,
mn = x+1 unit
mn = 2.5+1 unit
mn = 3.5 unit
Nick recently started a landscaping company. He began with 3 clients. Thanks to word-of-mouth referrals, his clients double each month. How many clients will Nick have after one year?
Answer:
100
Step-by-step explanation:
please help i need y intercept and slope
Answer:
slope: 1 /8
y-intercept: ( 0 , − 1 /4 )
Goat on a Rope
Farmer Smith has a goat named Mel. He hasn’t had time to put up a fence to contain Mel, so he has Mel tied to a rope in his field. The rope is attached to a pole, allowing Mel to wander within a circular area. The rope is 10 feet long. Farmer Smith remembers that the formula for the area of a circle is A = r2 , and that “r” means the radius of the circle. He wants to know how much grass Mel can eat, so he uses 3.14 for , and calculates the area of the circle. How many square feet of grass can Mel reach while still on his rope? (It might help to draw a picture.)
Answer:
the area of grass is 314 square feet
Step-by-step explanation:
The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)
Then the area of the circle is: [tex]Area=\pi\,R^2=3.14\,(10\,\,ft)^2=3.14 * (100)\,ft^2=314 \,\,ft^2[/tex]
So the area of grass is 314 square feet
A marathon race is 26.2 miles. While running the marathon, Maxwell stops every 3.25 miles for water. If he has already stopped for water 5 times, how many more miles does Maxwell have to run? PLEASE HELP I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN
Answer:
Hey there!
If he has already stopped five times for water, he has run 5(3.25), or 16.25 miles.
He has 26.2-16.25, or 9.95 more miles to run.
Let me know if this helps :)
Answer:
9.95 miles
Step-by-step explanation:
How many times he stopped × number of miles before break = total miles that has been run.
3.25 × 5 = 16.25
26.2 - 16.25 = 9.95 miles.
Over a period of a week, the 4 people in Group C ran a total of 27 miles, while the
6 people in Group D ran a total of 39 miles. On average, who ran more miles-an
individual in Group C or an individual in Group D?
what is the square root of 415
hey the square root is 20
Answer:
20.37
Step-by-step explanation: caculated!!
Least to greatest 2.71,2 3/4,5,5/2
Answer:
3/4<5/2<2.71
Step-by-step explanation:
3/4<5/2<2.71
Answer:
5/2, 2.71, 2 3/4, 5/2
Step-by-step explanation:
This is because (5/2) is equal to 2.5
and 2.71 is equal to 2.71
then (2 3/4) is equal to 3.75
and finally 5 is just 5, so then you put them in order (Least to Greatest) and then you revert them back to their original form.
hope this helps.