Answer:
A=-6
B=7
Step-by-step explanation:
We want to solve for the values of A and B.
let us substitute the values of the coordinates, that is x and y into the expression and obtain the two equations.
then we solve simultaneously
-7A-4B=14---------1
14A+2B=14--------2
-14A+-8B=28---------3
14A+2B=14------------2
0-6B=42
6B=42
B=42/6
B=7
put B=7 in eqn 1 we have
-7A-4(7)=14---------1
-7A-28=14
-7A=14+28
-7A=42
A=42/-7
A=-6
The values of A and B are 3 and -7 respectively
In order to determine the values of A and B,
First, we will determine the equation of the line passing through the coordinates (-7, -4) and (14, 2).
Using the formula for determining the equation of a line with two given points,
[tex]\frac{y-y_{1} }{x -x_{1} } =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
From the question
x₁ = -7
y₁ = -4
x₂ = 14
y₂ = 2
Putting these values into the equation,
We get
[tex]\frac{y--4}{x--7} =\frac{2--4}{14--7}[/tex]
∴ [tex]\frac{y+4}{x+7} =\frac{2+4}{14+7}[/tex]
[tex]\frac{y+4}{x+7} =\frac{6}{21}[/tex]
This becomes,
[tex]6(x+7) = 21(y+4)[/tex]
Clearing the brackets
[tex]6x + 42 = 21y + 84[/tex]
Then,
[tex]6x -21y = 84 -42[/tex]
[tex]6x -21y = 42[/tex]
Dividing through by 3
We get
[tex]3x - 7y = 14[/tex]
∴ The equation of the line that goes through the coordinates (-7, -4) and (14, 2) is [tex]3x - 7y = 14[/tex]
Now, we will compare the above equation to the equation given.
The given equation is Ax + By = 14
By comparing
A = 3 and B = -7
Hence, the values of A and B are 3 and -7 respectively
Learn more here: https://brainly.com/question/21967006
help im confused..........
Answer:
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Step-by-step explanation:
fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me
Answer:
lol im confused aswell
Step-by-step explanation:
what is the value of x,if x=9-9/4
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
What is 11/9 as a decimal?
With the money she had saved by working, Jennifer wanted
Answer:a car
Step-by-step explanation:
Tabithas living room is rectangle that measures 19 3/4ft by 12ft find the perimeter and the area of the room
Answer:
237ft²
63.5ft
Step-by-step explanation:
Given parameters:
Length = 19[tex]\frac{3}{4}[/tex] ft
Width = 12ft
Unknown:
Area of rectangle = ?
Perimeter of rectangle = ?
Solution:
Area of rectangle = length x width
= 19[tex]\frac{3}{4}[/tex] x 12
= [tex]\frac{79}{4}[/tex] x 12
= 79 x 3
= 237ft²
Perimeter of rectangle = 2(length + width)
= 2 (19.75 + 12 )
= 63.5ft
Find the area of the circle look no
Area of a complete circle is area = pi x r ^2
Area = 3.14 x 4^2
Area = 3.14 x 16
Area = 50.24 square units.
1/4 of the circle is missing, so multiply the area of the full circle by 3/4:
50.24 x 0.75 = 37.68 cubic units.
the missing number in the series?
4, 18, ?, 100, 180, 294, 448
A) 48
B) 50
C) 58
D) 60
help please !!!!!!!!!!!!!
Answer:
f(4)= -10
If g(x) =2, then x=0
Step-by-step explanation:
This need help jxb...
Answer:
That would be y = 2x.
An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.
Answer:
44 ft/hr
Step-by-step explanation:
First, we convert miles to feet.
6 mi*5280 = 31680 feet
Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.
30*24 hrs = 720 hrs
Now we have this speed -
31680 ft/720 hrs
Now we simplify this to -
44 ft/hr
So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.
Which expression is equivalent to i233?
Answer:
radical sign of -233
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have to find the value of the expression i^{233}i
233
We know that the below values.
i
2
=−1
i
4
=1
Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i
4
i^{233}=(i^4)^{58}
233
=(i
4
)
58
⋅i
Now, we know that i^4=1i
4
=1
Hence, we have
i^{233}=(1)^{58}
233
=(1)
58
⋅i
i^{233}=
233
=1⋅i
i^{233}=ii
233
=i
Find the unit rate for each of the following tables
Answer:
First table's unit rate is -1.6
Second table's unit rate is 3.5
Step-by-step explanation:
First table:
[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]
and this is constant for any pair of (x, y) values of the table.
So the unit rate is: -8/5 = -1.6
Second table:
[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]
and the rate is constant for any pair of (x, y) values of the table.
So the unit rate is: 7/2 = 3.5
Let z = 9 – 2i and zw = 25 + 70i.
What is w?
1 + 8i
1 – 8i
–1 + 8i
–1 – 8i
Answer:
1+8i
Step-by-step explanation:
Given, complex numbers z = 9 – 2i and zw = 25 + 70i. w = 1 + 8i.
What are complex numbers?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit, and satisfying the equation i² = −1.
= (9 - 2i)(1 + 8i)
= 9 + 72i - 2i -16i^2
= 9 + 70i + 16 (i^2 = -1)
= 25 + 70i
Learn more about complex numbers here
https://brainly.com/question/10251853
#SPJ2
What is the ratio of 20 praise and 2000 rupees
Answer:
1 rupee=100 paisa
so, 20 paisa:2000 rupees
=>20 paisa:2000×100
=>1:10000.
what is 2/16 as a decimal
The cost of making a phone is $152. A store sells the phone for $281.20 select all the the expressions that could be used to find the percentage of markup for the ohone
Answer:
[tex]\frac{100 * (281.20 - 152)}{152}[/tex][tex](\frac{281.20}{152}-1 ) * 100[/tex]Step-by-step explanation:
The above two expressions can be used to find the percentage of mark-up for the phone.
The first expression for instance will give;
[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]
= 85%
The second expression will give;
[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]
= 85%
Both of them will show that an 85% mark-up has been added to the cost of the phone.
Please help with question plaaseeee
Answer:
Yes it is.Step-by-step explanation:
The graph is proportional because
it is in a straight line in the graph.
Hope this helps! <3
The question I need help in is the middle one. PLEASE I NEED ANDWER ASAP!
Answer:
3.25
Step-by-step explanation:
I plugged in 5 for x and got 3.25 when I solved
!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?
Answer:
adjacent
Step-by-step explanation:
this just means they are next to each other, like they share a ray
Answer:
they are adjacent
Step-by-step explanation:
Adjacent means they are next to each other; and both these angles are right beside each other
PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest
Answer:
(x)^2+(5)^2=(9)^2
Step-by-step explanation:
(a)^2+(b)^2=(c)^2
(x)^2+(5)^2=(9)^2
x^2+25=81
-25 -25
x^2=56
x=28
p.s. this ^2 means squared
Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable
Answer:
The input of the function
Step-by-step explanation:
I need help with 15-19 plz
Here,
g (x) = -3x + 1
then ,
g(10) = -3 (10) + 1
= -30 +1
= - 29
Again,
g(-6) = -3 (-6) + 1
= 18 + 1
= 19
Complected *******
Thank me later.
Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.
Answer:
90 minutes
Step-by-step explanation:
Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.
Write the product using exponents.
(-4).(-4).(-4).y.y
Answer:
(-4)^3 * y^2
Step-by-step explanation:
hope it helps.
Helppp me plssss! ASAP
Answer:
140 ft.
Step-by-step explanation:
first find the area of the rectangle
16 x 8 = 128
Area: 128
then find the area of the triangle
Base: 4
Height: 6
Area: 12
Then all u need to do is add
12 + 128 = 140
What is the least common denominator of 2/3, 1/6 and 11/12
Answer:
2/3 = 8/12
1/6 = 2/12
11/12 = 11/12
n= 9c-80 solve for c. if n= 19 what is the value of c?
Answer:
Step-by-step explanation:
n = 9c - 80
n = 19
19 = 9c - 80
-9c = -80 - 19
-9c = -99
c = 99 / 9
c = 11
Hope this helps
plz mark as brainliest!!!!!!
The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5
120
60
20
180
how to simplify 2a³ × a⁴
Answer:
2a⁷
Step-by-step explanation:
you have to add 3 to 4
Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.
Answer:
18 weeks
Step-by-step explanation:im gay