The equation of the line written in slope intercept form is 0.8333x + 24
From the question given :
x1 = - 12 ; y1 = 14 ; x2 = 6 ; y2 = - 1General form of a slope intercept equation :
y = bx + cb = slope = (y2 - y1) / (x2 - x1)
Slope = (-1 - 14) / (6 - (-12)) = - 15 / 18 = 0.8333
The intercept, c can be obtained thus :
14 = 0.8333(-12) + c
14 = - 10 + c
14 + 10 = c
c = 24
Therefore, the equation can expressed thus y = 0.8333x + 24
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Write the equation of the line that has a slope of 3 and passes through (5, 11)
y = 3x - 26
y = 3x - 38
y = 3x - 4
x = 3y - 4
Answer:
3x-4
Step-by-step explanation:
y=ax+b general type of the line
a is the slope
y=3x+b
put 5 instead of the x and put 11 instead of the y
11=15+b
b=(-4)
Equation is 3x-4
Peter cuts lawns and makes $40 per lawn. He spends $10/day in work expenses. Write an equation in the form y = mx + b to represent this situation.
Answer: y= 40x-10 , where = number of lawns.
Step-by-step explanation:
In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.
[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]
Given: Peter cuts lawns and makes $40 per lawn.
let x = number of lawns
i.e. slope = $40
He spends $10/day in work expenses.
i.e. y-intercept = -10 [for each day]
So equation becomes : y= 40x-10 , where = number of lawns.
17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68
Answer:
D. 18.4, 18.04, 17.86, 17.68
Step-by-step explanation:
Very Easy!
Which statement is true about perpendicular lines?
Help please!!
Answer:
The answer is that they intersect at the right angles 90°
Answer:
they intersect at right angles (90 degrees)
Step-by-step explanation:
4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:
Answer:
1 rose cost $1.5
1 carnation cost $0.5
Step-by-step explanation:
Let the price for one rose be r, price for one daisies be d and the price for one carnation be c
For Ben;
5r + 8d + 2c = 14.5
For Alex
3r + 12d + c = 14
For Joe
10r + d + 3c = 17.25
From equation iii;
d = 17.25- 10r - 3c
Insert this into the first two equations;
5r + 8(17.25-10r-3c) + 2c = 14.5
5r + 138 - 80r -24c + 2c = 14.5
-75r -22c = -123.5
Thus;
75r + 22c = 123.5
Insert the formula for d in the second equation;
3r + 12(17.25-10r-3c) + c = 14
3r + 207 - 120r -36c + c = 14
-117r-35c = 14-207
117r + 35c = 193
So we have two equations to solve simultaneously;
75r + 22c = 123.5
117r + 35c = 193
Multiply first equation by 35 and second by 22
2625r + 770c = 4322.5
2574r + 780c = 4246
Subtract second from first
51r = 76.5
r = 76.5/51
r = 1.5
Insert this in the equation below;
75r + 22c = 123.5
75(1.5) + 22c = 123.5
112.5 + 22c = 123.5
22c = 123.5-112.5
22c = 11
c = 11/22
c = 0.5
Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon
the answer is:
Each equal length of ribbon is 5.25 ft
Step-by-step explanation:
21 divided by 4 is 5.25
To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.
What is division ?Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.
Given length of ribbon = 21 foot
Number of parts it has to be divided = 4.
So, to get the length of each part divide the total length by 4.
Thus, the length of each part is 21/4 = 5.25 foot.
Hence, the length Mrs. Wally' s each ribbon is 5.25 foot.
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pls give the answer
Answer:
It should be 245 m
Step-by-step explanation:
Separate it like this:
chop of the rectangle part and find the area of that and then add it to the trapezoid part
10*20 = 200.
Area of a trapezoid = 5+10/2 *6.
5+10 = 15. 1
5/2 = 7.5.
7.5*6 = 45.
45 + 200 = 245
A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?
Answer:
48 I think
Step-by-step explanation:
12+12+12+12=48
or 12 x 4=48
Answer:
48
Step-by-step explanation:
12+12+12+12 = 48
or
12x4=48
Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10
Answer:
-5 and 2
Step-by-step explanation:
A baseball camp is held at a complex that has 6 baseball diamonds. The coaches would like each diamond to have the same number of campers. Use divisibility rules to determine whether this is possible if 152 kids show up for the camp.
Answer:
Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds
Step-by-step explanation:
Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids
Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond
Mathematically 152/6 = 25.3333
Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp
Which of the equations below represents a line parallel to the y-axis?
OA.
x=-Y
OB.
X= 4
O C. X= 4y
OD.
x= y
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?
9514 1404 393
Answer:
379 adult tickets896 student ticketsStep-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...
5a +1(1275 -a) = 2791
4a = 1516 . . . subtract 1275 and simplify
a = 379 . . . . . divide by 4
1275-a = 896
379 adult and 896 student tickets were sold.
Which of the following is a rearrangement of A
(61 +62) · h
that highlights the variable h?
Answer:
123 x h because you can't put them together but we can add the stuff that is already there so we get 123 and times h thats our answer
Find the rate of change of the linear function
shown in the graph, Then find the initial value.
The rate of change is
Answer:
6
Step-by-step explanation:
dfsfads
does anyone know ? thx
I need to know 2/7 divided by 6 =
Answer: 1/21
[tex]\frac{2}{7}:6=\frac{2}{7}.\frac{1}{6}=\frac{2}{42}=\frac{1}{21}[/tex]
Step-by-step explanation:
Question 2 (1 point)
A video game has three villains who appear on screen at different intervals. One villain appears every 2 seconds, a second villain appears every
19 seconds, and a third villain appears every 10 seconds. How much time passes between the occasions when all three villains appear at the
same time?
Answer:
3 minutes tens seconds or 190 seconds
Step-by-step explanation:
Find the LCM.
In an 11 team soccer league, each team plays once what is the total amount of games played?
Answer:
22
Step-by-step explanation:
11 x 2 = 22
22 teams played
Estimate. 3 × 92 what is the answear
Answer:
276
Step-by-step explanation:
Answer:
276
Step-by-step explanation:
do 90×3, which is 270, then 2×3, which is 6 then adds them to get 276
Eight year-old Alex is learning to ride a
horse. The trainer says that a horse
ages 5 years for every 2 human years.
The horse is now 50 years old in human
years. How can you determine the age
of the horse, in human years, when Alex
was born?
Hint: Use a table or a graph to
help you find the solution.
Show your work.
Answer:
The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
Step-by-step explanation:
Current age of Alex = 8
Current age of the horse in human years = 50
Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.
Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:
The age of the horse, in human years, when Alex was born = 50 - 8 = 42
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
This can be presented in a table as follows:
Age of Alex Age of the Horse (in human years)
Eight years ago 0 42
Current age 8 50
what is 2.99 x 0.6 in dollars and cents plz help:(
Answer:
the answer is 1. 794
Step-by-step explanation:
Answer:1.794 is the answer to you question.
Step-by-step explanation:
What will be the slope of (3,-4) and (1,2)
Answer:
[tex]\boxed {m = 1}[/tex]
Step-by-step explanation:
Use the Slope Formula to determine the slope of two given points:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
First Point: [tex](x_{1}, y_{1})[/tex]
Second Point: [tex](x_{2}, y_{2})[/tex]
-Substitute both points:
First Point: [tex](3, -4)[/tex]
Second Point: [tex](1, 2)[/tex]
[tex]m = \frac{2 + 4}{1 - 3}[/tex]
-Solve for the slope:
[tex]m = \frac{2 + 4}{1 - 3}[/tex]
[tex]m = \frac{-2}{-2}[/tex]
[tex]\boxed {m = 1}[/tex]
Therefore, the slope is [tex]1[/tex].
On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7-4 = -3
-7-3 = -10
-7+ 4 = -3
Answer:
-7+-3=-4
Step-by-step explanation:
Solve for x. 3(5 + 4x) = 75
Answer:
3(5+4x) = 75
Step-by-step explanation:
Step 1: Distribute. --> 3(5+4x) = 75
15 + 12x =75
Step 2: Find X. ---> 15 + 12x = 75
-15 -15
12x = 60
Step 3: Divide. 12 12
Answer: x = 5
Answer:
X=5
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!! Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
A. You replaced y with 3 temporarily.
B. This is wrong because you can only substitute for x.
C. The equation becomes 3 = x – 2
D. The value of x is 5.
E. The equation y = x – 2 is still true, just with specific values.
Answer:
y=x-2
a. 3=x-2
b. this isn't wrong??
c. 3=x-2
d. add 2 to both side so taht x is on its own so 5=x
e. yes
Answer:
C and E
Step-by-step explanation:
Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.
B is not right because you can replace either y or x
D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.
Hope this helped :)
Bailey is inviting people to her wedding and wants to stay at or below her budget of $4,500 for the food. The cost will be $65 for each adult's meal and $20 for each child's meal. Part A: Write an inequality to represent the situation. Part B: If there are 63 adults coming, what is the maximum number of children attend and eat the meal? Why?
In
\Delta
Δ
ABC
ABC
,
\angle A
∠A
measures exactly
88
88
o, and
\angle B
∠B
measures greater than
51
51
o. Which of the following best describes the measure of
\angle C
∠C
?
Answer:
Step-by-step explanation:
I will NEVER fly delta again after the incident of 1992!!!! DISGUSTONG
Select the correct locations on the graph. Select the lines that represent functions.
Answer:
bruh there isnt a graph or anything we cant answer it
Step-by-step explanation:
Answer:
where is it
Step-by-step explanation:
Please help me---------------------------
Answer:
Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.
The solution is: (1.2, -1.6)
Step-by-step explanation:
You can also test this by plugging the values of the point into both equations.
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below. 1. p(x) = 5x2 + 30x 2. p(x) = 5(x2 + 6x) 3. (six-halves) squared = 9; 4. p(x) = 5(x2 + 6x + 9) – 5(9) 5. p(x) = 5(x + 3)2 – 45 Describe Sandra’s function. What is the vertex of this function? Is it a maximum or a minimum? What is the axis of symmetry of this function?
Answer: 1st question• (-3, -45)
2nd question• x= -3
Step-by-step explanation:
just did it on edge
The vertex of the function p(x) = 30x^2 + 5x^2 is (-3,-45), and it is a minimum
The description of the functionThe function is given as:
p(x) = 30x^2 + 5x^2
The description of the function is that the function is a quadratic function
The vertex
From the question, we have:
p(x) = 5(x + 3)^2 – 45
A quadratic function represented as: p(x) = a(x - h)^2 + h has the vertex (h,k)
This means that the vertex is (-3,-45), and it is a minimum because a is positive i.e. a = 5
The axis of symmetryThis is the x-coordinate of the vertex.
Hence, the axis of symmetry is x = -3
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