A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question
A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *
Answer:
y = 5x - 3
Step-by-step explanation:
The Slope of a Line
Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
We are given the points (-1,-8) and (3,12). Compute the slope:
[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]
The equation of the line now has one known value:
y = 5x + b
Let's use the point (3,12) to find the value of b:
12 = 5(3) + b = 15 + b
Solving for b:
b = 12 - 15 = -3
The required equation of the line is:
y = 5x - 3
can some one plz help me on the qustion
Answer:
D.
Step-by-step explanation:
[tex]\frac{9}{16}[/tex] converted to decimal is 0.5626
[tex]\frac{7}{12}[/tex] converted to decimal is 0.5833
So answer choice D is the correct answer.
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. How many quarters does Whitney have?
Answer:
I think it's 15 Quarters.
Step-by-step explanation:
The required number of dimes and quarter Whitney has is 11 and 9 respectively.
Given that,
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. The number of quarters Whitney have is to be determined.
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of dimes be x and the number of quarters be y,
According to ot the question,
x + y = 20
x = 20 - y - - - - (1)
and
0.1x + 0.25y = 3.35
From equation 1
0.1[20 - y] + 0.25y = 3.35
y = 9
Now,
x = 20 - 9
x = 11
Thus, the required number of dimes and quarters Whitney has is 11 and 9 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
4xr=14 pls i need help.
Answer: x =7/2 or r = 7/2 so this means there the same.
Step-by-step explanation:
_________
[tex] \: [/tex]
4 × r = 14
4r = 14
r = 14/4
r = 7/2
r = 3½ or 3,5
how much is 40% out of 16.32
Answer:
6.528
Step-by-step explanation:
just multiply 16.32 by .4
Find the x-intercepts for y = -7x2 + 4x + 9 using the quadratic formula. Choose all
correct answers.
Solve this inequality for x.
______________________________
1.) Multiply both sides of the equation by 5:[tex]81[/tex] × [tex]5=405[/tex][tex]55[/tex] × [tex]5=275[/tex]- Since 5 is positive, the inequality direction remains the same.
Inequality at the end of Step 1:
[tex]405-(1[/tex] × [tex]5+1)[/tex] ≤ [tex]275[/tex]2.) Solve the parenthesis:Multiply 1 and 5 to get 5.Add 5 and 1 to get 6.- We turn the fraction into parenthesis by multiplying because a fraction is originally is dividing, so we have to do the opposite, which in this case is multiplying.
Inequality at the end of Step 2:
[tex]405-6x[/tex] ≤ [tex]275[/tex]3.) Subtract 405 from both sides:[tex]405-405=[/tex] Cancels Out[tex]275-405=-130[/tex]- We do this to get 1 number/variable on each side.
Inequality at the end of Step 3:
[tex]-6x[/tex] ≤ [tex]-130[/tex]4.) Divide both sides by −6:[tex]-6x[/tex] ÷ [tex]-6=x[/tex][tex]-130[/tex] ÷ [tex]-6=\frac{-130}{-6}[/tex]- Since −6 is negative, the inequality direction is changed.
Inequality at the end of Step 3:
[tex]x[/tex] ≥ [tex]\frac{-130}{-6}[/tex]5.) Reduce the fraction [tex]\bold{\frac{-130}{-6}}[/tex] to lowest terms by extracting and canceling out −2:[tex]-130[/tex] ÷ [tex]-2=65[/tex][tex]-6[/tex] ÷ [tex]3[/tex]- Extracting and cancelling out just means dividing. So we just divide the numerator and denominator by -2.
Inequality at the end of Step 5:
[tex]x[/tex] ≥ [tex]\frac{65}{3}[/tex]6.) Turn the fraction into a mixed number:[tex]\frac{65}{3}=21\frac{2}{3}[/tex]- You can figure this out by dividing 65 by 3 which gives you a decimal, then turn the decimal into a fraction.
______________________________
(Giving brainliest to correct answer)
Congruence
Answer:
SAS
Step-by-step explanation:
you are given two congruent sides
and since the right angle is a vertical angle, you can one congruent angle between the triangles
.is BLANK
than
is fewer
than
3 < 5
Answer:
I do not know what you just said so I assume your asking if 3 is less than 5 and yes 3 is less than 5
Noah fills a soap dispenser from a big bottle that contains 2 1/3 liters of liquid soap. That amount of soap will fill 3 1/2 dispenser. How many liters of soap fit into one dispenser
Answer:
i have no more money to buy a candle shop full of dogs with cats and people
Step-by-step explanation:
ur mae
Answer:
None
Step-by-step explanation:
When 3a? – 7a+ 6 is subtracted from 4a? - 3a +4,
the result is
Step-by-step explanation:
(3a-7a+6)-(4a-3a+4)
(-4a+6)-(1a+4)
Add the remaining a's together, as well as the 6 and 4.
you get,
-3a+10
please help a.s.a.p!!!
Answer: I believe the answer is 2,3, and 4. If not, then it is just 2 and 4.
Step-by-step explanation:
What is 57/7 ?
Division
Answer:
8.142
Step-by-step explanation:
Answer: You can decide to choose any of these but they're all the same!
8 R 1
Decimal form:
8.1 (if you round it to the nearest tenths).
8.14 (if you round it to the nearest hundredths).
8.143 (if you round it to the nearest thousandths).
Step-by-step explanation:
When you begin the division, you have to think of what is the highest number that is less than 57 that is a multiple of 7, that number is 56. 56/7 is 8 which is where I got the 8.
57 - 56 = 1 which is the remainder.
If you want to write it in decimal form, you divide the 1 by 7 and since you'll get a decimal number with 0.14.. you had that number to 8, which gives you your answer in decimal form!
Hope that helped!
The sugar is sold at & 5.4 per kg at
At what price should it be sold per kg to com
a profit of 20%
the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price should it be sold per kg to earn a profit of 20%
Answer:
7.2 rupees
Step-by-step explanation:
Given that at a loss of 10 percent which is 90% price, we have sugar sold at 5.4 rupees per k.g
Hence, at 100 percent we have => 5.4 × (100 ÷ 90 )= 6 rupees per kg.
Therefore, at 100 percent, where we have 6 rupees per kg, to make a profit of 20% we have
6 rupees per kg x 120% = 6 × 1.2 = 7.2 rupees per kg.
Hence, the final answer is 7.2 rupees per kg to make a profit of 20%.
A hot air balloon can hold 350 lbs of weight. Tristan wants to ride up in
the hot air balloon. The pilot of the balloon weighs 200 lbs. If Tristan weighs 2300
ounces, can he ride in the hot air balloon with the pilot? Why or why not?
Step-by-step explanation:
First, convert 2,300 ounces into pounds.
2,300oz. - 143.75 pounds
You then need to add the pounds from the pilot and Tristan's.
143.75 + 200 = 343.75
If the hot air balloon can hold 350lbs, then both Tristan and the pilot can ride it together. The reason why they can ride it together is because 343.75 pounds is less than what the hot air balloon can originally hold, which is 350lbs.
I hope I helped teehee- ^^ :P
A right cone has a radius of 13 cm and a slant height of 20 cm. Find its surface area.
Question 12 options:
A)
10,618.6 cm2
B)
816.8 cm2
C)
1,347.7 cm2
D)
3,539.5 cm2
Answer:
[tex]A=1347.7\ cm^2[/tex]
Step-by-step explanation:
Given that,
Radius of a cone, r = 13 cm
Slant height of the cone, l = 20 cm
We need to find the surface area of the cone. The formula for the surface area of the cone is given by :
[tex]A=\pi rl +\pi r^2[/tex]
Put all the values,
[tex]A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2[/tex]
So, the surface area of the cone is [tex]1347.7\ cm^2[/tex].
SOMEONE PLEASE HELP!!! THIS IS MY LAST QUESTION!!!
Answer:
The answer to the question provided is 30.
Step-by-step explanation:
[tex] \frac{18}{27} = \frac{20}{x} \\ \\ \frac{540}{18} = \frac{18x}{18} \\ \\30 = x[/tex]
Happy to help!
=====================================================
Explanation:
Due to the parallel lines, we have two similar triangles. So the sides are proportional.
18/27 = 20/x
2/3 = 20/x
2x = 3*20
2x = 60 .... cross multiply
x = 60/2
x = 30
---------------
Another way you can approach it is to say
18/(18+27) = 20/(20+x)
18/45 = 20/(20+x)
2/5 = 20/(20+x)
2(20+x) = 5*20
40+2x = 100
2x = 100-40
2x = 60
x = 60/2
x = 30
If there are 27 students in one class,
how many are there in 5 classes?
Answer:
the answer I got is 135 if you multiply 27 times 5
The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):
Answer:
Zeros → (-2, 0) and (4, 0)
Step-by-step explanation:
Equation of the graph has been given as,
y = [tex]\frac{1}{2}x^{2} -x-4[/tex]
For zeros of the function,
y = 0
Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]
By solving the equation algebraically,
x² - 2x - 8 = 0
x² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x = -2, 4
Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).
Let's confirm the zeros (x-intercepts) from the graph attached,
Coordinates of the x-intercepts are,
(-2, 0) and (4, 0)
Sample Response: They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Answer:
They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Step-by-step explanation:
coochie man
what is the answer to 8+4
Answer: 12
Thx for the points!
12
it won't let me just write the numbers
The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?
Answer:
you didn't post a picture :/
Find the value of x.
Answer: [tex]x = 2\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\dfrac{15}{x}=\dfrac{x}{4} \\\\ x \times x = 15 \times 4\\x^{2} =60\\x=\sqrt{60} =2\sqrt{15}[/tex]
I’m so done with math bro
Complete the following table using the equation: y = -2x+5
Answer:
what table could you explain
Step-by-step explanation:
Solve for x.
12x - 4 = 4(2x + 1)
Answer:
X = 2
Step-by-step explanation:
12x - 4 = 4(2x + 1) (multiple 2x and 1 by 4)
=> 12x - 4 = 8x + 4
=> 12x - 8x = 4+4 (and the alike terms together)
=> 4x = 8
=> x = 8/4 ( divide 8 and 4 by 4)
=> x = 2/1
=> x = 2
If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets
Answer:
$63
Step-by-step explanation:
First, divide 28 by 4 to get 7
Now we know that one ticket cost $7.
Do 7 times 9 to get 63
9 tickets costs $63
9 movie tickets would cost $63.
Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.
May I have brainliest please? :)
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
x=12
Step-by-step explanation:
You would equal XY and ZY. the solve that way.
Use long division to solve for n. 6,588 ÷ 4 = n
Answer:
n = 1647
Step-by-step explanation:
Answer:
n = 1647
Step-by-step explanation:
Carrie has 0.83 liters of juice in her pitcher. Sanji's pitcher has 2 times as much juice as Carrie's pitcher. Lee's pitcher has 4 times as much juice as Carrie's pitcher. Sanji and Lee pour all their juice into a large bowl.
How much juice is in the bowl?
There are liters of juice in the bowl.
Answer:
Step-by-step explanation:
No matter what, whatever number times the amount will look like this.
Carries x the number times = the other pitchers.
For example if sanjis is two times carries then it will be 0.73 times 2. Do the same thing with both and then add the two answers together.
If you provide "how many times" then I can help a little more!