Answer:
A= 12
B = -4
Step-by-step explanation:
( -3,0) & (0,9) should satisfy the equation Ax + By = -36
when ( -3,0)
-3A+ 0 = -36
A = 12
when (0,9)
0 + 9B = -36
B = -4
The value of A and B is 12 and -4.
Given that,
The equation is Ax + By = -36.And, the x-intercept is (-3,0) and the y-intercept is (0,9).Based on the above information, the calculation is as follows:
Ax + By = -36
When (-3,0)
So,
-3A+ 0 = -36
A = 12
Now
when (0,9)
So,
0 + 9B = -36
B = -4
Therefore we can conclude that the value of A and B is 12 and -4.
Learn more: brainly.com/question/3334417
The vertices of a triangle are A(-2, 1), B(2, 2) and C(6, - 2).
Find the equation of the altitude of AD drawn from A to BC.
Answer:
The equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
Step-by-step explanation:
Let m₁ and m₂ be the slope of line AD and BC respectively.
Now, AD⊥BC
∴ m₁ × m₂ = -1
be the slope of line AD and BC respectively.
⇒ m₁ = -1/m₂ → (A)
Finding the slope of BC using points
B(2, 2)
C(6, - 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]
[tex]m_{2} =\frac{-2-2}{6-2}[/tex]
[tex]m_{2} =-1[/tex]
On substituting the value of m₂ in equation (A)
m₁ = -1/m₂
= -1/(-1)
= 1
We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be
[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]
[tex]y-1=x+2[/tex]
[tex]y=x+3[/tex]
Therefore, the equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?
Answer:
List Price = $ 110.00
Discount Amount = $ 33.00
what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2
Answer:
C. 4
Step-by-step explanation:
The formula of slopes is: y2 - y1/x2 - x1
m = y2 - y1/x2 - x1
m = 15 - 7/5 - 3
m = 8/2
m = 4/1
m = 4
The slope of the line through the points (3,7) and (5,15) is 4 .
What is slope of line passing through two points ?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Δy = change in y coordinate = y2 - y1
Δx = change in x coordinate = x2 - x1
m = Δy/Δx
where,
m is the slope
According to the question
Points (3,7) and (5,15)
therefore,
(x1,y1) = (3,7)
(x2,y2) = (5,15)
Now ,
The slope of the line
Using slope formula
m = Δy/Δx
Δy = y2 - y1
Δy = 15 - 7
Δy = 8
Δx = = x2 - x1
Δx = 5 - 3
Δx = 2
Therefore,
m = [tex]\frac{8}{2}[/tex]
m = 4
Hence, the slope of the line through the points (3,7) and (5,15) is 4 .
To know more about slope of line passing through two points here:
https://brainly.com/question/27897581
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help asap please does the graph represent a function
PLS HELPS ME!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1).
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
40 - 2× 3². What the answer
I believe the answer is 22!
Answer:
The answer is 22
Step-by-step explanation:
40-2(3^2)
= 40 - (2)(9)
= 40 - 18
= 22
Hope this helps
15. Joey indicated that the Bayugan City can be found at coordinates (-1 1/2,0). Do you agree with Joey? Why or why not?
Answer:
The answer is "False".
Step-by-step explanation:
In this question, I disagree with Joey since the town of Bayugan has been at co-ordinates (0,[tex]-1\frac{1}{2}[/tex]) which would be contradictory to Joey.
What is the slope of the line that passes through the points (2, 6) and (-1, -9).
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$1,200, 3.5%, 2 years
Answer:
84
Step-by-step explanation:
1200*3.5*2/100
=84
Answer:
$84
Step-by-step explanation:
You can also do 1,200x 0.035 x2 which equals $84.
Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip
a balloon dress 140 miles towards the lessons 45 seconds then it suddenly changes and the win flies 90 miles towards the east and that's 25 seconds What's the total distance it traveled
Please help me you’ll get brainlest last one!!!!!
5/5
Answer:
Point X is the loacation [tex]\pi[/tex], and is an irrational number
Step-by-step explanation:
[tex]\pi[/tex] ≈ 3.14
it is also a irrational number
What is the equation of the line perpendicular to y=-1/5x -2 and contains the point (2, -10)?
Answer:
y= 5x-20
Step-by-step explanation:
I didn't understand if I had to find the perpendicular line or parallel haha.
You’re welcome :)
Answer:
y = 5x -20
Step-by-step explanation:
for the line to be perpendicular it must have the inverse slope
therefore m = 5
no substitute the point (2, -10) in for (x, y) respectively to find the y intercept
-10 = 5(2) + b
-10 = 10 + b
b = -20
the equation will be y = 5x -20
The diagram below represents changes that take place within the human body. The diagram
represents *
(1 Point)
Answer:
Dynamic equilibrium
Step-by-step explanation:
Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.
1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
4. True False 4(5 + 10) = 20 + 10 5. True False 2(6 + 11) = 12 + 22
Answer:
1. False
2. True
3. False
4. True
5. True
Answer:
Step-by-step explanation:
1. Fasle
2. True
3. False
Yea I need help
I’ll give 20 points
Answer
Its the 3rd option
Step-by-step explanation:
ohh your a mathematical genius say every number 1-100
Answer:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64. 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100
Step-by-step explanation:
please , first click on the image then answer me the two questions
Answer:
Step-by-step explanation:
(m*2)+4=
b+(b*2)+1=
–24 + 12d = 2(d – 3) + 22
Answer:
d = 4
Step-by-step explanation:
Answer:
d = 4
Step-by-step explanation:
–24 + 12d = 2(d – 3) + 22
–24 + 12d = 2d - 6 + 22
–24 + 12d = 2d + 16
–24 + 12d - 2d = 16
12d - 2d = 16 + 24
10d = 16 + 24
10d = 40
d = 4
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?
Answer:
3,600 seconds
Step-by-step explanation:
multipy how many hours by 3,600
(so 1 times 3,600)
Answer:
3,600 seconds
Step-by-step explanation:
[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]
On Monday, 6 out of every 10 people who entered a store
purchased something. If 1,000 people entered the store on
Monday, how many people purchased something.
PLEASE HELP!! and if you know the awnser can you tell me how you got it pleasee thank youuu!
Answer:
600 people
Step-by-step explanation:
It’s under by 4 so it would be under by 40,400,4000 ect
Answer: 600 people
Step-by-step explanation: If 6 people out of 10 people bought something then just multiply both numbers by 100, as there are 2 more 0's in 1000 than 10, hope this helps :)
4 friends are sharing a new pack of pencils. if there are 12 pencils in each pack how many will each friend get?
(I am lazy to answer this by myself so please help me)
Answer:
3
Step-by-step explanation:
3 times 4 equals 12
hope I got it right
Step-by-step explanation:
they would each get 4 pencils
Someone, please help I'll give 10 points and brainliest to the person who answers first
it's the third option. 13x - 12y + 6xy
Answer:
C.
Step-by-step explanation:
5x-12y+8x+2xy+4xy=(5x+8x)-12y+6xy=13x-12y+6xy
ASAP 20 points!!! & BRAINLIEST!
Answer:
None are parallel.
Step-by-step explanation:
Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.
Hope this helped!
????????????????????????????
Answer:
The answer is in the 4th quadrant
Step-by-step explanation:
I really hope this helped!!! have a great day. :)
(2,5),( 3, 6) Rate of change and slope
Answer:
1 for both slope and rate of change
Step-by-step explanation:
Slope is another word for the rate of change of y with respect to x.
The distance between two towns is 120 km these are approximately 80 km in 5 miles which measurement is closer to the number of miles between these two towns
Answer:
7.5 miles
Step-by-step explanation:
5 miles in 80 km
Total distance = 120 km
120- 80= 40 km
80 km = 5miles
1 km = 5miles/ 80km
120 km = 5/80 * 120 km = 7.5 miles
This is called unitary method. First we find 1 km by dividing the miles with the number of km and then multiply the number of km to find the total number of miles.
Total distance = 120 km
120- 80= 40 km
if there are 5 miles in 80 km then there will be half of the miles in half of the km . So there will be 2.5 miles in 40 km .
So the total number of miles would be
40+80 km= 5+ 2.5 miles
120 km = 7.5 miles
Can some help me?Its due tonight lol
SOMEONE HELP ASAP i’ll give brainliest
Answer:
which question is it ??
Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)
Step-by-step explanation:
(5 – 5i) . (-3+5i)
=-15+25i+15i-25i²
=-25i²40i-15
Answer:
-25i^2+10i-15
Step-by-step explanation:
(5 – 5i) . (-3+5i)
foil
1)5*-3=-15
2)5*5i=25i
3)-5i*-3=15i
4)-5i*5i=-25i^2
put that all together
-25i^2+15i+25i-15
simplify
-25i^2+40i-15