Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points
Answers
Answer:
The equations of the line are
y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B
y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y1=m(x-x1)[/tex] , where
m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (-4, -7) and (3, 2)
∴ x1 = -4 and y1 = -7
∴ x2 = 3 and y2 = 2
→ Use the rule of the slope above to find it
∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]
∴ The slope of the line is [tex]\frac{9}{7}[/tex]
→ Substitute the values of m and (x1, y1) in the form of the equation above
∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)
∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
∴ The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
→ Substitute the values of m and (x2, y2) in the form of the equation above
∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
∴ The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
→ Look at the answers to find the same equations
∴ Answers B and E have the same equations
Related Questions
how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
Answers
(r-5)(r+4)
(x+6)(x+2)
Step-by-step explanation:
1 r^2 - 1 r - 20
multiply the first and third terms
-20 times 1 equals -20. take the -1
*what are two numbers that multiply together that equals -20 but add to equal -1?
-5 times 4 equals -20
-5 plus 4 equals -1
(r-5)(r+4)
1 x^2 + 8 x + 12
multiply the first and third terms
12 times 1 equals 12. take the 8
*what are two numbers that multiply together that equals 12 but add to equal 8?
6 times 2 equals 12
6 plus 2 equals 8
=(x+6)(x+2)
!!!BRAINY AND 10 PTS!!!
Answers
Answer:
Top left
Step-by-step explanation:
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
Answers
Answer:
the input is the number or gallons aka b
the output is the balance in the account aka c
and the two points described are (5,442) and (13,226) aka c
Step-by-step explanation:
i did it on edge and got it right :)
Answer:
here the answer
Step-by-step explanation:
The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
Answers
Answer:
a) 98m
b) 2m/s
Step-by-step explanation:
a) 2+4+6+8+10(8) = 98m
b) a = change/time = 8m/4s = 2m/s
not completely sure about a) so pls double check that <//3
good luck and hope this helped a bit!
The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².
How to find the area under a graph?The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.
The velocity time graph given in the problem can be used to find the distance travelled.
The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.
This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.
Now, the total area is given as,
1/2 × b × h + l × b
= 1/2 × 4 × 8 + 8 × 10
= 16 + 80
= 96
(b) The acceleration is given as the rate change of velocity with respect to time.
The acceleration in first 4 seconds is given as,
a = (8 - 0)/4
= 2
Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.
To know more about area of a graph click on,
https://brainly.com/question/26315835
#SPJ2
HURRY, PLEASE HELP!!!
Answers
Answer:
Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.
The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.
Helppppp please !!!!!
Answers
Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
what is x
8(3x+6)=168
Answers
Answer:
x=-5
Step-by-step explanation:
24x+48=168
24x-120
x=5
8(15+6)=168
120+48=168
168=168
Answer: 5
Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168
Giselle pays $240 in advance on her account at the athletic club. Each time she u
the account. Model the situation with a linear function and a graph.
1. b= 225-15x
2. B=240-15x
3. B=225+15x
4. B=240+15x
Help plz god bless you
Answers
Answer:
2. B=240-15x
Step-by-step explanation:
Answer:
The answer is B = 240 - 15x
Step-by-step explanation:
-3b+2=4b+9
pls answer hahaha
Answers
Slove 4(5x-2)= 2(9x+3)
Answers
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
what 3+6+9
answer 4 pointss
Answers
ayo the answer is 18.
Answer:
3+6+9
9+9= 18
Therefore 3+6+9=18
Write the expression below as a product of two factors.
12n + 8m - 4
Answers
Answer:
4(2m + 3n - 1)
I hope this helps!
Answer:
12=3*4 or 6*2. 8=4*2 and -4=4*-1
is the factors.
What is (7.8 x 10) • (1.0 x 10)
Answers
780 is the answer. Hope this helps :)
I really need help asappp
Answers
Answer:
d
Step-by-step explanation:
Answer:I say D the other wont work so D
Step-by-step explanation:
HELP HELP HELP PLEASE
Answers
Answer:
3/5 lmk if you need the work
Step-by-step explanation:
Express 48 as a product of its primes.
Answers
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
^^^
What value of p makes the equation true?
-3p + 1/8 = -1/4
Answers
Answer:
p = 1/8
Step-by-step explanation:
Hi there !
⁸⁾-3p + 1/8 = ²⁾- 1/4
- 24p + 1 = - 2
- 24p = - 2 - 1
- 24p = - 3 | (-)
24p = 3
p = 3⁽³/24
p = 1/8
Good luck !
A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2
Event Cost: 500+20x
If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.
A
$5.69≤x
B
$5.69≤x≤$12.33
C
$3.29≤x
D
$3.29≤x≤$21.29
Please help.
Answers
The value of the x should be more than or equal to 5.69. Then the correct option is A.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.
A school is planning a fundraiser with all profits going to charity.
Ticket Sales: 200x − 10x²
Event Cost: 500 + 20x
The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.
Event cost − Total sales ≥ Profit
(500 + 20x) − (200x − 10x²) ≥ 200
− 200x + 10x² + 500 + 20x − 200 ≥ 0
10x² + 180x − 700 ≥ 0
10x² − 180x + 700 ≥ 0
x² − 18x + 70 ≥ 0
On simplifying, we have
(x − 5.69) (x − 12.33) ≥ 0
x ≥ 5.69, 12.33
Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.
More about the inequality link is given below.
https://brainly.com/question/19491153
A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?
Answers
what are the solutions of the equation below
(x-2)(x+9)=0
Answers
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.
Answers
Answer:
The correct answer is:
The data are continuous because the data can take on any value in an interval. (C)
Step-by-step explanation:
Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete
Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answers
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
Helpppp!! I don't understand this??????
At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other???????
Answers
Answer:
$3.77
Step-by-step explanation:
First, add all of the numbers together:
$3.00+$3.45+$4.15+$4.60+$4.65+$2.80=22.65
Next, divide that number by the number of numbers:
22.65/6=3.77
<3
line I is the perpendicular bisector of MN. find m
Answers
Answer:
m = 68
Step-by-step explanation:
MN bisects it or splits it in half so we know N = M, which we could also write as 8x-12 = 5x+18 because they give us those equations
once you have 8x-12 = 5x+18 you can subtract 5x from both sides, so you will get 3x-12 = 18, then you can add 12 to both sides and you will get 3x = 30. Once you have narrowed down to this you can divide three by both sides making x = 10
Now that we know x =10 we can insert it into the equation
5(10) + 18 = m
50 + 18 = m
m = 68
Which statement is modeled by 2p + 5 < 11
Group of answer choices
The sum of 5 and 2 times p is at least 11
5 added to the product of 2 and p is less than 11
2 times p plus 1 is at most 11
the product of 2 and p added to 5 is 11
Answers
The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!
1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).
Answers
Answer:
y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
x-7(x-2)=10x+9-x
i need the answer asap pls
Answers
Step-by-step explanation:
x−7(x−2)=10x+9−x
Step 1: Simplify both sides of the equation.
x−7(x−2)=10x+9−x
x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)
x+−7x+14=10x+9+−x
(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)
−6x+14=9x+9
−6x+14=9x+9
Step 2: Subtract 9x from both sides.
−6x+14−9x=9x+9−9x
−15x+14=9
Step 3: Subtract 14 from both sides.
−15x+14−14=9−14
−15x=−5
Step 4: Divide both sides by -15.
−15x−15=−5−15
x=13
Answer:
x=13
PLEASE HELP! WILL GIVE BRAINLIEST AND 30 POINTS!
What is the range of possible values for x?
The diagram is not to scale.
Answer in this format: a < b < c
Answers
Find |x| when x = – 15.
HELP ME PLEASEE
Answers
Answer: 15
Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.
question.
Contrast the plate movements that cause the stresses in diagrams B and C How did geography affect the way Greeks made their livings?
Answers
Answer:
1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.