Step-by-step explanation:
Parallel lines have the same slope.
x -3y = 21
y = (21-x)/-3 ==== y = 1/3x -7
Substitute the values,
y = mx + c
5 = (1/3)(-6) + c
5 = -2 + c
c = 7
Thus, the equation is y = 1/3x + 7
An equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21 is y = 1/3x + 7.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We need to find an equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21.
Parallel lines have the same slope;
x -3y = 21
y = (21-x)/-3
y = 1/3x -7
Substitute the values;
y = mx + c
5 = (1/3)(-6) + c
5 = -2 + c
c = 7
Therefore, the equation is y = 1/3x + 7
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Number 2 please help quick .Asap
Problem 2, Part (a)
A = event elevator's 1st stop at the 2nd floor
P(A) = 3/4
Since the elevator needs to go up one floor
B = event elevator has its 2nd stop at the 3rd floor
P(B given A) = probability event B happens given event A happened
P(B given A) = 3/4
-----------
P(A and B) = P(A)*P(B given A)
P(A and B) = (3/4)*(3/4)
P(A and B) = 9/16
-----------
Answer: 9/16===============================================================
Problem 2, Part (b)
A = event elevator's 1st stop at the 2nd floor
P(A) = 3/4
B = event elevator has its 2nd stop at the 3rd floor
P(B given A) = 3/4
C = event elevator has its 3rd stop at 4th floor
P(C given (A and B)) = 3/4
-----------
P(A & B & C) = P(A)*P(B given A)*P(C given (A and B))
P(A & B & C) = (3/4)*(3/4)*(3/4)
P(A & B & C) = 27/64
-----------
Answer: 27/64===============================================================
Problem 2, Part (c)
A = event elevator's 1st stop at the 2nd floor
x = P(A) = 3/4
B = event elevator has its 2nd stop at the 3rd floor
y = P(B given A) = 3/4
C = event elevator has its 3rd stop at 2nd floor
z = P(C given (A and B)) = 1/4
D = event elevator has its 4th stop at 1st floor
w = P(D given (A & B & C)) = 1/4
-----------
P(A & B & C & D) = x*y*z*w
P(A & B & C & D) = (3/4)*(3/4)*(1/4)*(1/4)
P(A & B & C & D) = 9/256
-----------
Answer: 9/256If c+d=40 and 10 ≤ c ≤ 30, all of the following are possible values of d EXCEPT,
A. 7
B. 14
C. 21
D. 28
Answer:
A. 7
Step-by-step explanation:
If you were to solve for c by using d as 7 you would get:
c+7=40
c would then equal 33, which is greater than 30
12 out of 15 students play in the school band. In a class of 45 students, how many do NOT play in the band?
Answer: 36
12 out of 15 people play in the school band. In the class, 36 do not play.
12:15 is equal to a ration of 36:45.
So, it is the answer. 36 out of 45 people in the class play in the band.
Hope this helps!
Answer:
9 I think
Step-by-step explanation:
I wanted to simplify 12 out of 15 and I did by dividing 3 out of both of them which would now equal 4 out of 5. I know that 4 out of 5 is 80%. so, I did 80 % of 45 which equals 36 which means 36 people were in band. So now you minus 36 from 45 which is 9
9 people did not play in band
Find the coordinates of H if X(-8, 4) is the midpoint of GH and G(2, -9).
Step-by-step explanation:
Hey there!
The given midpoint is; X(-8,4) and G(2,-9).
To find: H
Now; You need to use formula for midpoint.
[tex]midpoint(x) = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Put all values.
[tex]( - 8,4) = (\frac{ 2 + x}{2} , \frac{ - 9 + y}{2} )[/tex]
As they are equal, their corresponding elements are equal.
[tex] - 8 = \frac{2 + x}{2} [/tex]
[tex] - 16 - 2 = x[/tex]
x = -18
[tex]4 = \frac{ - 9 + y}{2} [/tex]
[tex]4 \times 2 = - 9 + y[/tex]
[tex]8 + 9 = y[/tex]
[tex]y = 17[/tex]
Therefore, y = 17.
Therefore, H =( -18,17).
Hope it helps....
Answer:
(-18, 17)Step-by-step explanation:
Given Line segment GH with midpoint X(-8, 4) and G(2, -9)To findCoordinates of H(x, y)SolutionUsing midpoint formula
(2 + x)/2 = -8 ⇒ x + 2 = -16 ⇒ x = -18(-9 + y)/2 = 4 ⇒ y - 9 = 8 ⇒ y = 17So the coordinates of H are
(-18, 17)The formula for the circumference of a circle is C=2πr. What is the radius of a circle with a circumference of 22 cm?
Answer:
3.5cm
Step-by-step explanation:
for a fifth order polynomial, if x=a+bi is a root, and x=c+di is a root, how many real roots are there?
A. 1
B. 2
C. 5
D. 3
For the polynomial f(x)=2x^3-9x^2+11x-20 as
Answer:
False
Step-by-step explanation:
False
I'm assuming its because x isn't negative infinity because the leading coefficient is positive
The graph is shown below, therefore the given statement is false.
The given polynomial f(x)=2x³-9x²+11x-20 as x→-∞, f(x)→∞.
How to solve polynomial function?To solve a polynomial equation first, write it in standard form. Once it is equal to zero, factor it and then set each variable factor equal to zero.
Now, (0, -20), (1, -16), (2, -18), (3, -14) and (4, 8).
The graph is shown below, therefore the given statement is false.
To learn more about the polynomial function visit:
https://brainly.com/question/12976257.
#SPJ2
What is 1/8 +(-3/16) A. 4/2 B. 5/16 C.-5/16 D. -1/16
Answer:
D. -1/16
Step-by-step explanation:
1/8 +(-3/16) = -1/16
PLS HELP I GIVE BRAINLIEST NEED NOW
Nolan deposited $4000 into his account with 4% interest and came back to find he had $4800! How many years did he leave the money in the account for?
Which type of discontinuity exists at x=0?
Answer:
removable
Step-by-step explanation:
f(x) = cos(1/x^2) at x = 0;
For the function f(x) = cos(1/x^2) let's substitute the value of 0 in for x...
= cos(1/(0)^2)
= cos(1/0)
Now remember that x/0 is undefined. Removable discontinuity is undefined at the point x₀, and hence our solution is "removable."
Can someone help with this question
Answer:
I got 3 i plugged the equation into a graphing calculator so C
Step-by-step explanation:
PLEASE HELP UNIT ENDS I WILL GIVE BRAINIEST
Answer:
1 = 6,0
2= 2,3
Step-by-step explanation:
Sarah wants to buy new pillows for her room. Which store offers the Best Buy on pillows? A- 3 pillows for $40, B-4 pillows for $50, C- 2 pillows for $19, or D- 1 pillow for $11
Answer:
C. each pillow costs 9.5$ each.
A computer printer can print 10 pages per minute.
Write an expression for the number of pages the
printer can print in m minutes.
Answer:
so if the printer can print 10 pages per min. then the equation would be 10*m.
Step-by-step explanation:
Observe, in the drawing below, the length of Camila's bed.
In the image is the length of bed Camila which is: 1.80m
Question:
How long is Camila's bed, in centimeters?
I need the result and the and the de math account em pé
I ask for help with my niece's homework!
What is the Y intercept of a line that has a slope of three and Pacitti the points -1 and -7
Answer:
The y-intercept is -4.
Step-by-step explanation:
y = mx + b
-7 = 3(-1) + b
-7 = -3 + b
b = -4
It takes 66 pounds of seed to completely plant a 7-acre field.
How many acres can be planted per pound of seed?
acres per pound
Answer:
Approximately 0.11 acres can be planted with one pound of seed
Step-by-step explanation:
You use the rule of 3
66 pounds / 7 acres = ? pounds / 1 acre
? = 66 x 1 ÷ 7
? = 66 ÷ 7
? ≈ 9.23 pounds / acre
Now you know how many pounds you have for 1 acre. You reuse the formula from before
9.23 pounds / 1 acre = 1 pound/ ? acres
? = 1x1 ÷ 9.23
? = 1 ÷ 9.23
? = 0.11 acres/pound
Verify the answer:
0.11 x 9.23 ≈ 9.33, which is approximately 1 pound
Answer:
90 pounds per acre
Step-by-step explanation:
Im right
Helppppppp pleaseeeeee
Answer:
this is an unavailable questio. this means the question is being asked wrong. speak to a teacher about this equation.
Step-by-step explanation:
Complete the inequality.
(-1/9)(3/5) ___ -2/15
>
<
=
Answer:
I think it is (-1/9)(3/5)>-2/15
Nick buys 6 cupcakes and a bottle of water for $2. If he spent $20 in total how much was each cupcake
Answer:
3 dollars
Step-by-step explanation:
20 dollars is his total
$20-2 dollar water bottle=18
18 dollars divided by 6 cupcakes equals 3 dollars for each cupcake.
Solve the problem using system of equations -
System 1: 15x + 5y = 2
System 2: -3x = y + 6
Answer:
It would be no solution.
1. What would be the simple interest on an amount of $1000 at 4% interest?
A.) $40
B.) $50
C.) $60
D.) $30
Answer:
A.) $40
Step-by-step explanation:
find the value of x, I need help with that
Answer:
x = 62
Step-by-step explanation:
just do vertically opposite:
180-90-28 = 62
because they are vertically opposite, x=62
also could do:
90-28=62
Anyone know this thing
Answer:
i think that the answer would be A
Step-by-step explanation:
Answer:
(4,10)
(this is because i have to fill in more characters apparently)
Which expression can represent 70% of x?
3 (StartFraction x Over 4 EndFraction) minus one-half (StartFraction x Over 10 EndFraction)
3 (StartFraction x Over 4 EndFraction) minus (StartFraction x Over 10 EndFraction)
(StartFraction x Over 2 EndFraction) + (StartFraction x Over 10 EndFraction)
(StartFraction x Over 2 EndFraction) + one-half (StartFraction x Over 4 EndFraction)
NVM THE ANSWER WAS
3 (StartFraction x Over 4 EndFraction) minus one-half (StartFraction x Over 10 EndFraction)
Answer:
The answer is Dun Dun Duuun 3 {x/4} - 1/2{x/10}
The expression equivalent to 70% of x is,
⇒ 3 (StartFraction x Over 4 EndFraction) minus one-half (StartFraction x Over 10 EndFraction)
⇒ 3 (x/4) - 1/2 (x/10)
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
The expression is,
⇒ 70% of x
Now, We an simplify the expression as;
⇒ 70% of x
⇒ 70/100 × x
⇒ 70x/100
⇒ 7x/10
By option 1;
⇒ 3 (x/4) - 1/2 (x/10)
⇒ 3x/4 - x/20
⇒ (60x - 4x) / 80
⇒ 56x / 80
⇒ 7x/10
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
what is 19 divided by 6927 in long division
Answer:
364.5789473684211
Step-by-step explanation:
The ratio of koi to goldfish in my pond is 3:11. there are 70 fish in the pond. How many Kois are there?
Answer:
There are 15 koi
Step-by-step explanation:
koi: goldfish : total
3 11 14
There are 70 fish total
70/14 = 5
Multiply each term by 5
koi: goldfish : total
3*5 11*5 14*5
15 55 70
There are 15 koi
The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is
8 square meter
. Find
the dimensions.
Answer:
gfffdf
Step-by-step explanation:
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park the garden to be placed in the corner of a city park. The garden is a right triangle with base 10m and height 15m. Draw the garden such that 1 unit on the grid below represents 2 m
Given:
The garden is a right triangle with base 10m and height 15m.
To draw:
The garden such that 1 unit on the grid below represents 2 m.
Solution:
We have,
1 unit = 2 m
So,
1 m = 0.5 units
Using this conversion, we get
10 m = 5 units
15 m = 7.5 units
Therefore, the base garden on the grid is 5 units and height is 7.5 units as shown below.
Michelle works at a beauty salon. last month she received an average tip of $9 from her 88 clients. what was her tip income for a month?
Answer:
answer is 792
Step-by-step explanation:
........................ .
