Answer:
y = -5/4 x + 2
Step-by-step explanation:
the slope of line segment : (1+7) /(9+1) = 8/10
= 4/5
the mid point of line segment :
x = (-1+9)/2= 4
y= (-7+1)/2 = -3
the coordinate : (4, -3)
the slope of line perpendicular to line segment
= -1 ÷ 4/5 = -5/4
so the equation :
y+3= -5/4 (x-4)
y+3= -5/4 x +5
y = -5/4 x + 2
2x+3y=15
X+y=6
Simultaneously equations
Answer:
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=15;x+y=6
Rewrite equations:
x+y=6;2x+3y=15
Step: Solvex+y=6for x:
x+y=6
x+y+−y=6+−y(Add -y to both sides)
x=−y+6
Step: Substitute−y+6forxin2x+3y=15:
2x+3y=15
2(−y+6)+3y=15
y+12=15(Simplify both sides of the equation)
y+12+−12=15+−12(Add -12 to both sides)
y=3
Step: Substitute3foryinx=−y+6:
x=−y+6
x=−3+6
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=3
Answer:
x = 3, y = 3
Step-by-step explanation:
Given the 2 equations
2x + 3y = 15 → (1)
x + y = 6 → (2)
Multiplying 2) by - 2 and adding to (1) will eliminate x
- 2x - 2y = - 6 → (3)
Add (1) and (3) term by term to eliminate x
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(3) = 15
2x + 9 = 15 ( subtract 9 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Em uma competição esportiva uma equipe ganhou 80 medalhas sendo que 25% de ouro 35% de prata e o restante de blusa e qual o número de medalhas de bronze que essa equipe ganhou
Answer:
32 medals
Step-by-step explanation:
Given that
The team wons 80 medals
out of which 25% is gold
35% is silver
and rest is bronze
we need to find out the number of bronze medals that win by the team
The total percentage is 100
So, the remaining percentage is
= 100 - 25 - 35
= 40%
So, the number of bronze medal should be
= 40% of 80 medals
= 32 medals
What is the area of the square above
A. 44 square centimeters
B.88 square centimeters
C.121 square centimeters
D.242 square centimeters
Step-by-step explanation:
A 44 square cantimeters
plzzz anserw ill give you more points and crown if correct plzzz =D
From midnight to 7:00 am, the temperature rose 3/10 °C each hour. If the temperature at midnight was −1°C, what was the temperature at 7:00 am?
Answer:
11/10°C
Step-by-step explanation:
7 x 3/10 = 21/10
Temperature at Midnight = -1°C
Temperature at 7.00am = 21/10 + (-1°C)
= 11/10°C
If X = 4 units, Y = 10 units, and h = 9 units, what is the area of the trapezoid shown above?
Step-by-step explanation:
hope the picture above help u to understand:)
2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?
Answer:
Isang Kilong Pako
Step-by-step explanation:
Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.
Thank you Please mark as Brainliest :>
Please help if you can!!!!
Answer:
about 22 square units
Step-by-step explanation:
sana makatulong
Answer:
C: About 22 square units
Step-by-step explanation:
YW
Judging by appearance, classify the figure in as many ways as possible.
Answer:
A. Quadrilateral, kite
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:area of the circle=πr²
3.14 =3.14 ×r²
r²= 1
r. =1 millimeters
In a class, 60% of the students are girls. There are 18 girls in the class.
a. How many students are in the class?
b.How many boys are in the class?
Answer:
a. Total of 45 students.
b. 18 Boys.
Answer:
There are 45 students and 18 boys in the class
the sum of the two fractions is 9/26. if one of the fraction is 1/13, find the other
Answer:
7/26
Step-by-step explanation:
let the other fraction be x
according to the question,
1/13 +x =9/26
x = 9/26 - 1/13
take lcm of the denominator . lcm=26
x = 9*1 - 1*2/26
x = 9-2/26
x=7/26
Simplify the following by collecting like terms.
c + c +c+c
Answer:
4c
Step-by-step explanation:
c + c +c+c
Factor out c
c(1+1+1+1)
c(4)
4c
25x + 22x + 9 = 180.......
[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅
Step-by-step explanation:-
[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]
To verify:-
[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
5
4.)What function rule models the values in the table?
Х
4
8
12
16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4
Answer: 8
Step-by-step explanation: 4x4=0
If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters. What is the volume of the warehouse?
Answer: [tex]20,706\ m^3[/tex]
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is [tex]h=8\frac{1}{2}\ m[/tex]
[tex]h=\dfrac{17}{2}\ m[/tex]
Length is [tex]l=120\ m[/tex]
Width is [tex]w=20\frac{3}{10}\ m[/tex]
[tex]w=\dfrac{203}{10}\ m[/tex]
Volume of the warehouse is the product of height, length and width
[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]
Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].
a class has a ratio of boys and girls that is 6:5. if there are 15 girls in the class how many total children are in there class
Answer:
33
Step-by-step explanation:
Trust me it'll work.
En el autoservicio del barrio reciben al proveedor de gaseosas cada 8 dias,al de lacteos cada 3 dias y al de galletitas cada 12 dias . El 5 de abril fueron los 3. A¿Cuantos dias pasaran para qie se encuentren nuevamente?
Respuesta:
24 días
Explicación paso a paso:
Para calcular el día en que se volverán a reunir después del 5 de abril; tomamos el mínimo común múltiplo de la cantidad de días de cada visita:
Por lo tanto, tomamos el mínimo común múltiplo de 8, 3 y 12.
Múltiple de:
8: 8, 16, 24, 32, 40, 48
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
12:12, 24, 36, 48, 60
El mínimo común múltiplo es 24;
Todos se volverán a encontrar después de 24 días.
5 de abril + 24 días = 29 de abril
London is going to invest $8.8oo and leave it in an account for 10 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for London to
end up with $13.400?
Answer:
k = 0.04205029854
k = 4.205029854%
Step-by-step explanation:
13400 = 8800(e)^10(k)
ln 1.52 = 10k ln e
(ln 1.52)/ 10 = k
Answer:
The interest rate would be 4.21%
I need help:)
please
Answer:
it's 5
Step-by-step explanation:
Answer:
r = 5
Step-by-step explanation:
if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality
35 = 7r
60 = 15r
100 = 20r
'r' is 5
What is the answer to this
umm I don't know hehe oops
Answer:
Length of old board = 68.2cm
Step-by-step explanation:
Let old board length be x
Given new board is 120 % longer than old board = x + 120% of x
Length of new board = 150cm
Therefore,
x + 120% of x = 150
[tex]x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm[/tex]
Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?
what's the answer? will give brainliest
Answer:
It's 1,3
Step-by-step explanation:
Coordinate plane and x is 1 and y is 3
Answer:
(1,3)
Step-by-step explanation:
The spot where both lines intersect is the solution to the system of equations.
Hope that this helps!
Find the sum. Express your answer in simplest form. 9a^2-5/b^2+2 + -2a^2+4/b^2+2
Answer:
Step-by-step explanation:
[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]
Find the arc length and show work!
- Marking brainliest
Answer:
87.965 in.
Step-by-step explanation:
1) the formula of full arc is L=2π*r, the formula of the required 7π/4 is:
L=7π/4 *r;
2) according to the formula above:
L=7π*16/4=28π≈87,964594300514210676954014731826 (in).
A fruit basket contains 11 red apples and 7 green apples. What is the ratio of the number of red apples to the number of green apples
Answer:
11:7 or 11/7
Step-by-step explanation:
Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7
100 Points
Solve x^2 -6x=-5 by completing the square. Show all work for the steps below. (a) For x^2 -6x+c+-5+c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x.
Answer
-2c+5/6
hope it helps
Find the circumference of a circle with diameter,
d
= 3.2m.
Give your answer rounded to 2 DP.
Answer:
[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]
Answer:
circumference=10.05 m
Step-by-step explanation:
radius =diameter/2
=3.2/2
=1.6 m
circumference=2πr
=2*3.14*1.6
=10.048 m
=10.05 m
A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass
Answer:
1/3 x + 40 = 5/7 x
7x +(21)(40) = 15x
21*40 = 8x
x = 105cm3
Step-by-step explanation:
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4
Answer:
jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.
Step-by-step explanation:
5-2=3
3-1=2
8-4=4
Answer:
jeff 3 apples, kyle 2 apples, kelsea 4 apples
total apples left = 9 apples
total apples eaten = 7 apples
total apples = 16 apples
Step-by-step explanation:
