Answer:
y = 2x + 10
Step-by-step explanation:
Hi there!
We are given the points (-7, -4) and (-6, -2) and we want to write the equation of the line that passes through these points in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope (m) of the line
The slope can be calculated from 2 points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid any confusion & and mistakes
[tex]x_1= -7\\y_1=-4\\x_2=-6\\y_2=-2[/tex]
Substitute these values into the formula (note: remember that the formula has subtraction in it!)
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--4}{-6--7}[/tex]
Simplify
m=[tex]\frac{-2+4}{-6+7}[/tex]
Add the numbers
m=[tex]\frac{2}{1}[/tex]
Divide
m=2
The slope of the line is 2
We can substitute that in:
y = 2x + b
Now we need to find b
As the equation passes through both (-7,-4) and (-6,-2), we can use either point to help solve for b
Taking (-6, -2) for example:
Substitute -6 as x and -2 as y into the equation.
-2 = 2(-6) + b
Multiply
-2 = -12 + b
Add 12 to both sides
-2 = -12 + b
+12 +12
___________
10 = b
Substitute 10 as b.
y = 2x + 10
Hope this helps!
Topic: Finding the equation of a line
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Hello, we need help with these questions
Answer:
...
Step-by-step explanation:
Multiply and simplify (4x-2)(3x^2-2x+1) Write answer in standard form
Answer:
12x^3 - 14x^2 + 8x - 2Answer:
12[tex]x^{3}[/tex] - 14x² + 8x - 2
Step-by-step explanation:
1. Distribute the parentheses:
4x(3x²) + 4x(-2x) + 4x(1) + (-2)(3x²) + (-2)(-2x) + (-2)(1)
2. Multiply:
12[tex]x^{3}[/tex] + (-8x²) + 4x + -6x² + 4x + (-2)
3. Combine like terms:
12[tex]x^{3}[/tex] - 14x² + 8x -2
hope this helps!
What is the shortest strip of fiber from which five pieces of the following lengths can be cut: 9 1/2 inches, 10 11/16 inches, 6 9/16 inches, 7 1/2 inches, and 1 5/8 inches? No allowance is made for waste.
Answer:
35 7/8 inches
Step-by-step explanation:
Shortest strip
9 1/2 + 10 11/16 + 6 9/16 + 7 1/2 + 1 5/89 8/16 + 10 11/16 + 6 9/16 + 7 8/16 + 1 10/169 + 10 + 6 + 7 + 1 + (46/16)33 + 2 7/835 7/8 inchesIn a story, a tortoise and a hare take part in a race.
They have to run up and down the same hill.
The distance from the foot to the top of the hill is 996 meters.
The hare takes a nap after rrunning 578 meters.
How much further must the hare run to complete the race?
Give your answer in kilometers and meters.
Answer:
418 meters
Step-by-step explanation:
The total distance is 996 meters, hare completed 578 meters. The question asked how much further hare has to run which indicates that this is a subtraction problem.
Equation to solve :996-578=x
x=418
Hope this helps, let me know if I am wrong. Have a good day:)
Simplify be using distributive property: 3(4x -3) + 5(2x - 1)
Answer:
25
Step-by-step explanation:
Please solve with explanation (high points)
The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°
What is a regular polygon?A regular polygon is one that is two-dimensional and can be created at least three lines together.
Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.
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Finding π (optional)
You need:
• Six or fewer objects that have a round surface
• Yard or meter stick
• Ruler
• String (must be long enough to go around each of the round surfaces)
Directions:
1. List each object in the chart below.
2. Take your string and measure the distance around the circular object. Write that measurement
in the chart under Circumference.
3. Use your ruler to measure the diameter of the circular object. Write that measurement in the
chart under Diameter.
4. Divide the circumference by the diameter. Write that answer in the chart under Ratio. Was your
answer close to π
The circumference of the ball will be 43.988cm and dividing the circumference by the diameter equals pie.
How to calculate the circumference?The object that's chosen in this scenario is a circular ball. The diameter of the ball is 14cm.
The circumference of the ball will be:
= 2πr
= 2 × 3.142 ×(14/2)
= 2 × 3.142 × 7
= 43.988cm
Dividing the circumference by the diameter will be:
= 43.988cm/14cm
= 3.142
The answer is close to pi.
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f (x) = 7x + 2. Find the inverse of f(x).
O A. f-1(2)= 4
O B. f-1(r)=Tx-2
O c. f-(t) =%á
O D. f (x) = 2- 7x
Answer:
[tex] \frac{x - 2}{7} [/tex]
Step-by-step explanation:
[tex]f(x) = 7x + 2[/tex]
[tex]let \: \: f(x) = y[/tex]
[tex]7x + 2 = y[/tex]
[tex]7x = y - 2[/tex]
[tex]x = \frac{y - 2}{7} [/tex]
[tex] {f}^{ - 1} (x) = \frac{x - 2}{7} [/tex]
[tex]\large\text{view\:explanation\:for\:more\:details}[/tex]
Calculations ↓Remember , inverse functions do the opposite things in the opposite order.
Here's what happened to x here :
First , it's been multiplied by 7 .Then , 2 has been added to it .We can easily find the inverse of any function by following these steps :
Set the function equal to y as follows :f(x)=7x+2
y=7x+2
2. Now , switch y and x places :
x=7y+2
3. Solve for y .
First , subtract 2 on both sides :
x-2=7y
Divide by 7 on both sides :
[tex]\text{y=$\displaystyle\frac{x-2}{7}$}}[/tex]
We've found the inverse function of f(x)=7x+2.[tex]\tiny\text{hope\:helpful}[/tex]
)) What is 2.1 x 3.2?
the answer is 6.72.
2.1 x 3.2 = 6.72
Answer:
6.72 is the answer
Which graft represent -3x+5y=-15
The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
-3x + 5y = -15
The above function shows a linear function we can write it as:
5y = 3x - 15
y = (3x - 15)/5
If x = 0, y = -3
x = 1, y = -2.4
x = 2, y = -1.8
x = -1, y = -3.6
x = -2, y = -4.2
Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
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Write down two different expressions that are equivalent to 5x + 2 – 4y.
Answer:
2 + 5x - 4y
OR
-4y + 5x + 2
Step-by-step explanation:
The order of arrangement doesn't matter, what matters are the signs
Jacob earns $60 in 2 hours , or $150 in 5 hours. Write and equation to represent his earnings.
Answer:
2
Step-by-step explanation:
if you divided each number by the minute time you would then divide both numbers like 2 x 60 + 60 and 5 x 60+60+60+60+60=300 divided that with the two numbers and then you get 2
A cable television company has 8000 subscribers in a suburban community. The company offers two premium channels, A and B. If 2350 subscribers receive channel A, 1860 receive channel B, and 5220 do not receive any premium channel, how many subscribers receive both channel A and channel B?
Answer:
The answer is 4,530
Step-by-step explanation:
2550 + 1980 = 4,530
 HELP
Dieing from math in the picture. I think I did it wrong. Please help. :(
0/10 5/10 10/10 or a 1
Decimals:0.0 0.5 1.0. Write the fraction OR mixed number and the "Decimals" show by the model. Explain.
Answer:
1/2
Step-by-step explanation:
: 0.5 as a fraction is written as 1/2
A _____ has to be paid in full on the due date.
A credit card has to be paid in full on the due date. The correct option among all the options that are given in the question is the first option. The other choices are incorrect and can be easily neglected. The amount of money that the credit card company bills for a month has to be paid in full within the due date or additional fine would be added to the next bill.
100 POINTS TO WHOEVER IS CORRECT!!
SHOW ALL WORK. PLEASE HELP.
ALSO SHOW WHERE YOU CONNECTED THE DOTS
QUESTION -
WHAT IS THE AREA OF THIS IRREGULAR POLYGON
Answer:
25 unit²
Step-by-step explanation:
50 POINTS WILL MARK BRAINLIEST
What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1? (6 points) a f(x) = −1 cos πx + 2 b f(x) = −1 cos (x − π) + 2 c f(x) = 2 cos (x − π) − 1 d f(x) = 2 cos πx − 1
Answer:
c. f(x) = 2 cos(x − π) − 1
Step-by-step explanation:
The amplitude is the multiplier of the cosine function. The vertical shift is a constant added to the cosine function. The horizontal shift is a value subtracted from x in the argument of the cosine function.
For amplitude 2, vertical shift -1, and horizontal shift π, the function will look like ...
f(x) = 2·cos(x -π) -1
A class of 30 swim team members took a life saving test 18 of the members had an average of 92 points the remaining members had an average score of 84 points what was the average for the entire swim team
Answer:
88.8
Step-by-step explanation:
A raffle at a local fair has tickets for purchase for $10 each. There are 100 total tickets in the raffle. The tickets are shuffled, then 3 are selected to win a $100 prize. Use the table below to help you calculate the expected value of this raffle.
If the probability of success is 0.03. Then the expected value of the raffle will be 3.
What is binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value X will be given below.
E(X) = np
A raffle at a local fair has tickets for purchase for $10 each.
There are 100 total tickets in the raffle.
The tickets are shuffled, then 3 are selected to win a $100 prize.
Then the probability of success will be
p = 3/100
p = 0.03
Then the expected value of the raffle will be
n = 100
Then we have
E(X) = np
E(X) = 100 x 0.03
E(X) = 3
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The volume of a box is 0.6m³. Find its volume in cm³
Answer:
60
Step-by-step explanation:
There are 100 centimeters in a meter (centi- is a prefix meaning hundred), so all you have to do is multiply the meters by 100. 0.6 x 100 = 60. The volume is 60 cm^3.
Hope this helped!
Juan played 2 hours of video games per day. How many hours does he play in 6 days
Answer:
12 hours
Step-by-step explanation:
you take the amount of hours and multiple it by the days. so 2x6=12
Use inverse operations to solve.
1. You had $37 in your bank account. After you receive some money for your birthday, you have a total of $62.
How much money did you get for your birthday?
Answer:
[tex]\huge\boxed{\bf\:25 \:dollars}[/tex]
Step-by-step explanation:
Money in the bank account before receiving the birthday money = $37
Money in the bank account after receiving the birthday money = $62
Money received as the birthday money = ?
Money received as the birthday money
= Money in the bank account after receiving the birthday money - Money in the bank account before receiving the birthday money
= $62 - $37
= $25
[tex]\rule{150pt}{2pt}[/tex]
Please PLEASE HELP someone explain how the answer is 0.3112
You first have to add the total number of pedestrian deaths
[tex]52+252+86+587=977[/tex]
You then have to find the number of civilians that were intoxicated when they died
[tex]52+252=304[/tex]
Divide that number by the total number of pedestrian deaths
[tex]=304/977\\\\=0.3111566018\\\\=0.3112[/tex]
What is the algebraic rule?? And how do you find out what algebraic rule on a graph is (x,y)to (x,y+10)??? I know how to find basic rules according to the degree rotation but I don’t understand what does + 10 mean how am I supposed to find that on a graph based on rotation degrees???
The teacher never taught me please help me
Thank you!
Answer:
(x, y) ⇒ (-x, y)
Step-by-step explanation:
When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.
Here, vertices VWX are in clockwise order. The corresponding vertices V'W'X' are in counterclockwise order. For that to happen, there must be a reflection involved.
The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.
The algebraic rule for these two figures is ...
(x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes
__
Additional comment
No rotation is involved here.
The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This is the algebraic rule.
10 in.
12 in.
8 in.
Find the surface area
Answer:
592 square inches
Step-by-step explanation:
2(S1)+2(S2)+2(S3)=SA
2(10*12)+2(12*8)+2(10*8)=SA
2(120)+2(96)+2(80)=SA
240+192+160=SA
SA=592 in. Squared
About the Snowflakes
Last winter, I was watching the first snow of the year as it began. As I
was watching, I noticed an interesting pattern: The first minute, only
one snowflake fell. During each passing minute, the number of
snowflakes that fell was equal to the total on the ground plus one.
If this pattern continued for the whole snowstorm, how many
snowflakes fell during the 12th minute? During the 24th minute?
To get 100% on this assignment, you must write a variable
expression that represents how many snowflakes would fall during
the nth minute.
Using a geometric sequence, it is found that:
2048 flakes fell during the 12th minute.8,388,608 flakes fell during the 24th minute.What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
On the first minute, one flake fell. On the second minute, two flakes fell. On the third minute, four flakes fell(3 + 1). On the fourth minute, eight flakes fell(1 + 2 + 4 + 1). Hence the first term and the common ratio of the sequence are given by:
[tex]a_1 = 1, q = 2[/tex].
And the amount of flakes that fell in the minute n is:
[tex]a_n = 2^{n-1}[/tex]
In the 12th minute, the amount is given by:
[tex]a_{12} = 2^{12-1} = 2048[/tex]
In the 24th minute, the amount is given by:
[tex]a_{24} = 2^{24-1} = 8388608[/tex]
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Three line segments have measures of 18, 12, and 10 Will the segments form a triangle?
Answer:
Yes, the given segments will form a triangle
Step-by-step explanation:
Condition: If sum of the measures of any two segments of a triangle is greater than the third segment, then they will form a triangle.
Lengths of the given segments are 18, 12 and 10 units.18 + 12 = 30 > 1012 + 10 = 22 > 1810 + 18 = 28 > 12Here, lengths of the given segments obey the above mentioned condition. So, they will form a triangle.
Solve equation by using the quadratic formula.
2x² - 5x = 7
Answer:
c
Step-by-step explanation:
trust
