Complete the equation of the line through (-9,7)(−9,7)left parenthesis, minus, 9, comma, 7, right parenthesis and (-6,-3)(−6,−3)left parenthesis, minus, 6, comma, minus, 3, right parenthesis.
Answer:
[tex]y = -\frac{10}{3}x -23[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-9,7)[/tex]
[tex](x_2,y_2) = (-6,-3)[/tex]
Required
Determine the line equation
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-9,7)[/tex]
[tex](x_2,y_2) = (-6,-3)[/tex]
So, we have:
[tex]m = \frac{-3- 7}{-6 - (-9)}[/tex]
[tex]m = \frac{-3- 7}{-6 +9}[/tex]
[tex]m = \frac{-10}{3}[/tex]
[tex]m = -\frac{10}{3}[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex] ---- Point slope form of an equation
Where:
[tex]m = -\frac{10}{3}[/tex]
[tex](x_1,y_1) = (-9,7)[/tex]
[tex]y - y_1 = m(x - x_1)[/tex] becomes
[tex]y - 7 = -\frac{10}{3}(x - (-9))[/tex]
[tex]y - 7 = -\frac{10}{3}(x +9)[/tex]
Open bracket:
[tex]y - 7 = -\frac{10}{3}x -\frac{10}{3}*9[/tex]
[tex]y - 7 = -\frac{10}{3}x -10*3[/tex]
[tex]y - 7 = -\frac{10}{3}x -30[/tex]
Collect Like Terms
[tex]y = -\frac{10}{3}x -30 + 7[/tex]
[tex]y = -\frac{10}{3}x -23[/tex]
Hence:
The equation is: [tex]y = -\frac{10}{3}x -23[/tex]
Answer:
y=-10/3x-23
Step-by-step explanation:
A(x) = 2 (3x - 2)(x - 5)
Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
--> The managers want to know how many boxes of 12 cookies can
be filled with the 3,258 cookies that have been baked. Fatima
starts by subtracting the largest number of boxes she can easily
calculate. She knows that 100 boxes of 12 cookies can be put into
one crate. How many crates can be filled from the total of 3,258
cookies?
Answer:
271 boxes
Step-by-step explanation:
Answer:
3 crates are required for 3258 cookies
Step-by-step explanation:
since the boxes can have 12 cookies each
number of boxes = number of cookies / number of cookies per box
number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)
since each crate can hold 100 boxes
number of crates = number of boxes / number of boxes per crate
number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)
therefore the number of required crates for 3258 cookies is 3
Step-by-step explanation:hope i helped you
50 points!
Select the correct answer.
Which equation has an extraneous solution?
Answer:
C. Square root of x = -5
Step-by-step explanation:
Answer: c [tex]\sqrt{x} =-5[/tex]
Step-by-step explanation:
Algebra question
What is the solution to the following system?
(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)
Answer:
C.(2,1,0)
Step-by-step explanation:
on edg
The solution to the following system is [tex](2,1,0)[/tex].
What is Algebra?Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.
We have,
[tex]3x+3y+6z=9[/tex] [tex](i)[/tex]
[tex]x+3y+2z=5[/tex] [tex](ii)[/tex]
[tex]3x+12y+12z=18[/tex] [tex](iii)[/tex]
To find the solution to the above give algebraic equations,
We have to find values of [tex]x,y,z[/tex].
So,
We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],
[tex]3x+3y+6(0)=9[/tex]
[tex]3x+3y=9[/tex] [tex](iv)[/tex]
Now,
We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],
[tex]x+3y+2(0)=5[/tex]
[tex]x+3y=5[/tex]
[tex]x=5-3y[/tex] [tex](v)[/tex]
Using equation [tex](iv)[/tex] & [tex](v)[/tex],
We get,
[tex]3(5-3y) +3y=9[/tex]
[tex]15-9y+3y=9[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex],
Now we have value of [tex]y=1[/tex], putting this value in equation [tex](v)[/tex],
[tex]x=5-3(1)[/tex]
[tex]x=2[/tex],
Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.
To learn more about algebra click here
https://brainly.com/question/953809
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Olivia filled 4 baskets of apples. Her friend filled up one additional basket of apples. if all of the baskets sold for a total of $160, how much money did each basket of apples cost?
Answer:
$32
Step-by-step explanation:
Since the question says that all the apples were sold for a total of $160, this means that you have to add the additional basket of the friend's to Olivia's. Since Olivia has 4 baskets of apples and her friend has 1, 4+1=5. Since you're trying to find the unit price for 1 basket, you take the total of $160 and divide it by 5 to find how much each basket of apples costed. Since 160/5 is 32, $32 is your answer.
Determine the vertical intercept
Movie posters sell for $2.89 each, with a 25% discount if 15 or more posters are purchased. Sales tax is 6%. If Lois buys 20 posters, about how much would the posters cost?
Answer:
The posters cost $52.07.
Step-by-step explanation:
First, you have to calculate the cost of the 20 posters by multiplying the price per poster for the quantity:
$2.89*20=$57.8
Then, you have to calculate the 15% discount by multiplying the cost for 15% and subtracting that amount from the cost:
$57.8*15%=$8.67
$57.8-$8.67=$49.13
Finally, you have to calculate the 6% of $49.13 and add the result to that amount:
$49.13*6%=$2.94
$49.13+$2.94=$52.07
According to this, the answer is that the posters cost $52.07.
What formula do you use when you are missing a length of a right triangle?
Answer:
Pythagorean Theorum
Step-by-step explanation:
a^2*b^2= c^2
Plz help me answer this
Answer:
(0, 4)
x = 0
y = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
12x - 5y = -20
y = x + 4
Step 2: Solve for x
Substitution
Substitute in y: 12x - 5(x + 4) = -20Distribute -5: 12x - 5x - 20 = -20Combine like terms: 7x - 20 = -20Isolate x term: 7x = 0Isolate x: x = 0Step 3: Solve for y
Define original equation: y = x + 4Substitute in x: y = 0 + 4Add: y = 4Need help on C and D thank you
Answer:
c = 17 chapters left
d= im going to say 6
Answer:
C.
29 + 12 = 41
D.
2 : 3
(add 7)
? : 10
9 : 10
Step-by-step explanation:
Your answer for C. is 41 chapters.
Your answer for D. is 9 cartons of milk in 10 seconds.
Someone did something stupid in the other question
Answer:
[tex]m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-1, 0)
Point (-3, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-0}{-3+1}[/tex]Subtract/Add: [tex]m=\frac{4}{-2}[/tex]Divide: [tex]m=-2[/tex]Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.
Step-by-step explanation:
can someone help me
Answer:
A is a function
Step-by-step explanation:
Hope the image helps.
PLSS HELPPPPPPPPPPPPPPPPPPPPPP ASAP PLSS
Answer:
Step-by-step explanation:
me too
Answer:
1 right triangle and isosceles
2 acute triangle and scalene
3 equiangular triangle and equilateral
4 acute triangle and isosceles
5 obtuse triangle and isosceles
6 obtuse and scalene
7 equiangular triangle and equilateral
8 right triangle and isosceles
I'm not sure about the bottom part since I can't really see sorry.
Step-by-step explanation:
acute - when a angle is less than 90 degrees
Obtuse - when an angle is more than 90 degrees
Right - when angle is at 90 degrees also it will have a square in the triangle to let you know that it 90 degrees/right angle.
Scalene triangle - when side have an uneven length.
isosceles triangle - when two side are equals.
equilateral - when all sides are equal.
equiangular - have all equal angles
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
Show your work please
Answer:B
Explanation Samuel earn per hour = 5 hrs
Commission = 65%
Samuel total earning for a day = 6 hrs
Now,
5(65)+6y
A is the center of rotation for the figure below.
Rotate the figure 90 degrees, then another 90 degrees.??
What do you notice?
how many sixths are there in 5 1/2
Answer:
21
Step-by-step explanation:
18. the distance that a object covered in time was measured and recorded in the table below.
True/False: The distance covered is directly proportional to the time.
a. True
b. False
Answer:
False
Step-by-step explanation:
It is not proportional because the distance does increase with the same amount with time.
if Proportional , this would be the tabel
Time distance
1 4
2 5.5
3 7
4 8.5
5 10
8900945867-*+.23598.000562-45896.0265=986578587983+89744563212255685-.032658974633what is the quotients!! s+89.222550y+-x=-.3265
Answer:
21
Step-by-step explanation:
69 students bought tickets to a concert. The students made up 46% of the total amount of people. How many people were at the concert
Answer:
150
Step-by-step explanation:
Answer:
150 people
Step-by-step explanation:
If you turn 69/150 into a percent it will in fact give you 46%
Finish the proof plz.
9514 1404 393
Explanation:
Here are the reasons:
GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)the function f(x)=1/2x+3/2 is used to complete this table.
which statements are true if the given function? check all that apply.
f(-1/2)= -2
f(0)=3/2
f(1)= -1
f(2)= 1
f(4)=7/2
9514 1404 393
Answer:
f(0)=3/2f(4)=7/2Step-by-step explanation:
You can read f(0) = 3/2 from the table. The slope is 1/2, so f(4) will be 1 more than f(2): f(4) = 7/2.
Need help, please would be helpful
Answer:
90
Step-by-step explanation:
What is the y-intercept of this line?
Answer:
(0, 3)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).
Answer:
3
Step-by-step explanation:
Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!
Help 2 mins Left 10pts
Step-by-step explanation:
i got about 0.62
I'm so sorry if it isn't right tho
Marco needs to buy some cat food. At the nearest store, 5 bags of cat food cost $28.75. How much
would Marco spend on 6 bags of cat food?
Marco would spend $on 6 bags of cat food.
a. AAS
b. ASA
c. NOT CONGRUENT
d. SSS
e. SAS
(geometry)
URGENT!!!!!!! Which scatterplot suggests a linear function between X and Y?
A) I only
B) II only
C) I and II only
D) I, II and III only
A construction crew has just finished building a road. The crew worked for 4 4/9 days. If they built 2 1/5 kilometers of road each day, what is the total length of road they built?
Please help asap!! Due today!
Answer:
25 cm
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + 24^2 = c^2
49 + 576 = c^2
c^2 = 625
c = 25
Answer: 25 cm