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:
(50 Points)
Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9?
x + 2y = 21
Answer:
It's option C.
Step-by-step explanation:
It's right on edmentum. Also just use substitution. Not that hard.
Can someone help plz
Answer:
84g
Step-by-step explanation:
399÷19=21
21 x 4 = 84
Simplify the following expression:
3x (7x-4)-(x-8)
Answer:
=21x2−13x+8
Step-by-step explanation:
=3x(7x−4)+−1(x−8)
=3x(7x−4)+−1x+(−1)(−8)
=3x(7x−4)+−x+8
Distribute:
=(3x)(7x)+(3x)(−4)+−x+8
=21x2+−12x+−x+8
Combine Like Terms:
=21x2+−12x+−x+8
=(21x2)+(−12x+−x)+(8)
=21x2+−13x+8
Answer:
[tex]=21x^{2} -13x+8[/tex]
Step-by-step explanation:
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0 < x < 2.
20
0
58
2
46
4
34
6
22
Answer:
- 0.4 (in decimal)
Step-by-step explanation:
Here "x" is input and "f(x)" is output
Average Rate of Change is = change in output / change in input
At x = 0, the output is 41
At x = 60, the output is 17
= (17-41)/(60-0) = -24/60 = -0.4
A. what is the product of 4 and b?
B. The sum of 1/5 of m and 2/5 of m
Answer:
Step-by-step explanation:
a) 4 * b = 4b
B)
[tex]\frac{1}{5}m+\frac{2}{5}m=\frac{1+2}{5}m\\\\=\frac{3}{5}m[/tex]
Sophie and Marcos are each saving for new bicycles. So far,
Sophie has $10 saved and can earn $5 per hour walking
dogs. Marcos has $4 saved and can earn $8 per hour at his
family’s nursery.
a. Write an equation for each individual.
b. After how many hours of work will Sophie and Marcos
have saved the same amount?
c. What will that amount be?
a. Sophie's equation: 10+5a=b
Marcos' equation: 4+8a=b
a=number of hours b=total needed for bike
b. a=2 for their totals to be the same.
c. b=20 for their totals to be the same.
work:
10+5(2) > 10+10 > 20
4+8(2) > 4+16 > 20
what is 331.5 pages in 8.5 weeks simplified
9514 1404 393
Answer:
39 pages per week
Step-by-step explanation:
(331.5 pages)/(8.5 weeks) = 39 pages/week
17,12,13,14 whats the middle
Answer:
6.75
Step-by-step explanation:
Put them in order from least to greatest
12, 13, 14, 17
Add the middle numbers together
13+14=27
Divide the amount of numbers in the set
27/4=6.75
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.
An airplane is 4,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. How many minutes will it take until the plane is 2,600 feet above the ground?
Answer:
10 minutes!
Step-by-step explanation:
140 * 10(min) = 1,400
4000 - 1,400 = 2,600 ft
so will take 10 minutes for the plane to descend 1,400 ft
Answer:
10 minutes
Step-by-step explanation:
in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10
What was the initial price of a t-shirt if, after a 25% discount, it cost $12?
GIVING 100 POINTS!! PLUS BRAINLIST! whoever scams this will get reported and have there points deducted and blocked as a user!
The basketball coach made up a game to play where each player takes 10 shots at the basket. For every basket made, the player gains 10 points. For every basket missed, the player loses 15 points.
a. The player with the highest score sank 7 baskets and missed 3. What was the highest score?
b. The player with the lowest score sank 2 baskets and missed 8. What was the lowest score?
c. Write an expression using addition to find out what the score would be if a player sank 5 baskets and missed 5 baskets.
Answer/Step-by-step explanation:
A. (7 x 10) = 70
(3 x -15) = -45
70 + -45 = 25
B. (2 x 10) = 20
(8 x -15) = -120
20 + - 120 = - 100
C. (5 x 10) + ( 5 x -15) or 5 x (10 + -15)
5 x 10 = 50
5 x -15 = -75
50 + -75 = -25
Which of the following functions is graphed below
Answer:
D
Step-by-step explanation:
WILL GIVE BRAINLIEST !!!! PLS ANSWER THE LINES CORRECTLY !!!
Answer:
wait whats the question so i can solve it
Step-by-step explanation:
PLEASE HELPP!! ASAPPP
Answer:
The answer to this question is A
Step-by-step explanation:
Answer: 400,000 gallons
Step-by-step explanation: First find the per minute is 4000 next multiply by 100 minutes and it is 400,000
2r+7=16
what does r =
Answer:
4.5
Step-by-step explanation:
2*4.5=9+7=16
The value of r in the given linear equation 2r + 7 =16 is 9/2.
What is linear equation in one variable?
A linear equation in one variable is an equation which has maximum of one variable of order 1. It is of the form ax + b =0, where x is the variable.
Solving Linear Equation in one variableFor solving an equation having one variable, the following steps are followed:
Step1: Using LCM, clear the fractions if any.Step2: Simplify both sides of the equation.Step 3: Isolate the variable.According to the given question
We have, a linear equation in variable r.
2r +7 =16
⇒ 2r + 7 -7 = 16 -7
⇒ 2r = 9
⇒ r = 9/2
Hence, the value of r is 9/2 for the given linear equation 2r + 7 = 16.
Learn more about Linear equation in one variable here:
https://brainly.com/question/11897796
#SPJ2
Find the measure of each angle indicated. HELPPP PLEASE
Answer:
its a 90degree angle C:
Step-by-step explanation:
srry if this didn't help I can't rlly understand the question but I hope it did help!
Kali runs 10 laps around a track each day each lap around the track is 400 m how many days will it take me to run a total of 12
Answer:
It will take 3 days.
Step-by-step explanation:
:)
What is the product of 417.2 x 0.64?
Answer:
267.008
Step-by-step explanation:
Answer:
267.008
Step-by-step explanation:
can someone please help :/ the people in my group are being mean,, ill mark you brainlest
Answer: 6.25 ounces. You're right
Step-by-step explanation:
43.75 ÷ 7 = 6.25
you can check by multiplying: 7 × 6.25 = 43.75
Help plz. 4x^2-10x=84
Answer:
my brain just died sorry
Step-by-step explanation:
Answer:
x = 6
4x2−10x=84
Step 1: Subtract 84 from both sides.
4x2−10x−84=84−84
4x2−10x−84=0
Step 2: Factor left side of equation.
2(2x+7)(x−6)=0
Step 3: Set factors equal to 0.
2x+7=0 or x−6=0
x=
−7
2
or x=6
dang. Yall need to stop harrassing a girl for what she asks for. If she asks for perfume, she gets perfume. Nothing wrong with that. Comment if you agrreee/
Answer:
._.
Step-by-step explanation:
If she has money, she gets stuff. If she broke, doesn't work/help, and expects another person to buy it for her, she ain't gonna get anything. Either way, she better work for that perfume.
Answer:
h*ll yes theyre still human i dont know why people care about that stuff
Step-by-step explanation:
if they deserve it then who cares
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.
A.
+1.2
B.
-1.2
C.
+0.15
D.
-0.15
Answer:
I think is A srry if im wrong :c
Step-by-step explanation:
Answer:
-0.15
we want to divide the amount of tons that was lost over the course of 8 days, in which the answer is 1.2 divided by 8 = 0.15, we then get -0.15 because they lost tons
I hope this helps
Write each decimal as a fraction or mixed number in simplest form 0.125
Answer:
1/8 as a fraction
Step-by-step explanation:
Answer: mixed number:0 1/8 or just 1/8
Step-by-step explanation:
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 3, add 4 and square the result.
Answer:
[tex](3x + 4)^{2}[/tex]
Step-by-step explanation:
3 times the number they thought of:
3x
add 4:
3x + 4
square the result:
[tex](3x + 4)^{2}[/tex]
8.1)? || What is the area of the reindeer barn in feet? 45 yards 25 yards er
Answer:
I think the answer is 20
A line segment with A B C at points
What’s 123.45 + 67.891
Step By Step?
Answer:
123.45 + 67.891 = 191.341
Step-by-step explanation:
I don't know really know how to explain but I'll try to. So since 123.45 is the larger decimal so you put it first then below it you put 67.891.(not that it is necessary)
Then add a zero to 124.45. Meaning it will be 123.450. (It is the same number, we just have to add a zero there.)
Add then just add like you normally do. Just try doing it and you'll see.
Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training?
Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week
Solution:
Given that,
Kay spends 250 min/wk exercising
Therefore,
Exercising = 250 minutes per week
Ratio of time spent on aerobics to time spent on weight training is 3 to 2
Aerobics : weight training = 3 : 2
Let the time spent on aerobics be 3x
Let the time spent on weight training be 2x
Thus,
3x + 2x = 250
5x = 250
x = 50
Thus,
Time spent on aerobics = 3x = 3(50) = 150
Time spent on weight training = 2x = 2(50) = 100
Thus, Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week
Which is the definition of a ray?
a part of a line that has one endpoint and extends indefinitely in one direction
the set of all points in a plane that are a given distance away from a given point
lines that lie in the same plane and do not intersect
a part of a line that has two endpoints
Answer:
a part of a line that has one endpoint and extends indefinitely in one direction
Step-by-step explanation:
a ray has one endpoint, then has an arrow going indefinitely in one direction.
Answer:
a
Step-by-step explanation:
Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown.
A graph shows number of math problems on the x-axis, from 0 to 20, and number of science problems on the y-axis, from 0 to 16. A dashed straight line has a negative slope and goes through (4, 12) and (12, 6).
Which statement could be true in this situation?
Alexia completed 8 math problems and 9 science problems.
Alexia completed 4 math problems and 6 science problems.
Alexia completed 20 math problems and 10 science problems.
Alexia completed no math problems and 15 science problems.
Answer:
C
Step-by-step explanation: