Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
ParametersJ(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
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(Please help) What is the inverse of the function f(x)=x+3?
H(x)= 1/3x + 3
H(x)= 1/3x -3
H(x)= x - 3
H(x)= x + 3
5.125
Express that as a common fraction
please
Answer:
41/8
Step-by-step explanation:
Corrupted by their power, the judges running the popular game show America’s Next Top Mathematician have been taking bribes from many of the contestants. During each of two episodes, a given contestant is either allowed to stay on the show or is kicked off. If the contestant has been bribing the judges, she will be allowed to stay with probability 1. If the contestant has not been bribing the judges, she will be allowed to stay with probability 1/3, independent of what happens in earlier episodes. Suppose that 1/4 of the contestants have been bribing the judges. The same contestants bribe the judges in both rounds. (a) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she was bribing the judges? (b) If you pick a random contestant, what is the probability that she is allowed to stay during both episodes? (c) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she ge
Answer:
(a) The probability that a contestant allowed to stay in the first episode is 0.5
(b) The probability that a contestant will be allowed to stay during both is 0.25
Step-by-step explanation:
The given parameters are;
The probability that a contestant who has been bribing the judges will be allowed to stay = 1
The probability that a contestant who has mot been bribing the judges will be allowed to stay = 1/3
The proportion of the contestant that has been bribing the judges = 1/4
The contestant who bribe the judges in the first round = The contestants who bribe the judges in the second round
(a) Let the total number of contestants = x
Therefore;
The number of contestants in the second round = x/4 + 1/3×(x - x/4) = x/2
Which gives that, half of the contestants make it to the second round
The probability that a contestant allowed to stay in the first episode, Pₐ₁, is given as follows;
Probability = (The number of required outcome)/(The number of possible outcome)
∴ Pₐ₁ = (x/4)/(x/2) = 2/4 = 1/2 = 0.5
The probability that a contestant allowed to stay in the first episode = 0.5
(b) The probability that a contestant will be allowed to stay during both episode, Pₐ₁₂ is given as follows;
The number of contestant that will be allowed to stay after each episode = 1/2×(The number contestant in the previous episode)
Therefore;
The number of contestant that will be allowed to stay after the first episode = 1/2 × x = x/2
The number of contestant that will be allowed to stay after the second episode = 1/2 × x/2 = x/4
Therefore, the number of contestant that will be allowed to stay after both episode = x/4
Pₐ₁₂ = (The number of contestant that will be allowed to stay after both episode)/(The total number of contestants)
∴ Pₐ₁₂ = (x/4)/x = 1/4 = 0.25
The probability that a contestant will be allowed to stay during both = 0.25.
2.7.4 practice on Apex in GEOMETRY
REALLY CONFUSED!
The 2.7.4 practice on Apex in geometry focuses on the Pythagorean theorem and its applications. Students are assessed on their ability to apply the theorem to solve problems involving distances, heights, and lengths in right triangles.
The concept of 2.7.4 practice on Apex in geometry is a crucial topic that students must understand to excel in the subject. Geometry is the study of shapes, sizes, positions, and angles of objects and figures in space. The 2.7.4 practice on Apex in geometry mainly focuses on the Pythagorean theorem and its applications.
The Pythagorean theorem is a mathematical formula that is used to calculate the length of a right triangle's hypotenuse. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem is one of the most fundamental concepts in geometry, and it is essential to understand how to apply it in problem-solving. The 2.7.4 practice on Apex in geometry provides students with an opportunity to test their understanding of the Pythagorean theorem.
Students are expected to apply this theorem to solve problems related to distance, height, and length. The practice tests are designed to assess students' ability to use the Pythagorean theorem to calculate the length of the hypotenuse in a right triangle.
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what is the percent of 74 is 37
Answer:
50% take 37/74 ×100 to get the answer
The correct answer is 50.trust me it is
If bacteria have a growth rate of 100% every 20 minutes, how many will
there be after 120 minutes if you started with 1 bacteria?
HELP! Write the following equation in point slope form.
Slope of 5 and a x-intercept of -1
Answer:
y + 0 = 5 ⋅ ( x + 1 )
Step-by-step explanation:
Use the given slope and point to substitute into the point-slope formula
y − y 1 = m ( x − x 1 ).
Answer: My answer is (5,-1) sorry for the stop - typing I had to do something.
2,000x + 6,000 = 3,500x - 39,000
the cost of 4 pounds of grapes is $24.36.wgat is the constant of proportionality
A.6.09
B.20.36
C.8.12
D.28.36
who ever will be my girlfriend will get brainiest
or solve this question
Using the given points, determine Δy.
(-3, -5) and (0, 10)
Δy = 5
Δy = 15
Δy = 13
Δy = 3
Answer:
Δy = 5
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
hi lol
7( 4 - 2x) - 6x = 3
Answer:
x = 1.25
Step-by-step explanation:
7(4 - 2x) - 6x = 3
(28 - 14x) - 6x = 3
-28 - 28
- 14x - 6x = - 25
- 20x = - 25
/ -20 / -20
x = 1.25
PLEASE ANSWER NEED HELP BAD AND IM OUT OF POINTS T-T
To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?
Here is the equation stuff to solve:
Expression for the number of tiles Bruce used : 5x+2
Expression for the number of tiles Felicia used : 5x + 5
How could you change the equation so it has infinitely many solutions? What would infinitely many solutions mean in terms of the situation?
To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?
5x +2 = 5x + 5 (subtract 5x and 2 on both sides)
0 = 3 No solution
How could you change the equation so it has infinitely many solutions?
Have 2 or 5 change because they need to be equal to each other. Its fine what you put as long as the equal sign is the same as the other side like 3 = 3 for example or 5 = 5, something like that. Once they have the same end then you can substitute the number to x.
What would infinitely many solutions mean in terms of the situation?
x represents the number of tiles they used
What is the sum of 23 and 40
Answer:
63
Step-by-step explanation:
Answer:
i believe the answer is 63
Josue knows that his aunt earns more money. than his uncle. He asked how much his aunt earns each month and was told, "$600 less than twice what your uncle earsn." If his aunt earns $4,200 per month, how much money does his uncle earn each month?
Answer:
Uncle's earnings is $2400
Step-by-step explanation:
Represent his uncle's earnings with x
$600 less than twice what your uncle earns is represented as:
[tex]2x - 600[/tex]
Since, his aunt's earnings is $4200.
We have:
[tex]2x - 600 = 4200[/tex]
Add 600 to both sides
[tex]2x - 600 + 600= 4200 + 600[/tex]
[tex]2x = 4800[/tex]
Solve for x
[tex]x = 4800/2[/tex]
[tex]x = 2400[/tex]
Hence, His uncle's earnings is $2400
5x + 4 = 5x +4
O One Solutions
O Infinitely many solutions
O No Solution
Please help
Answer:
No Solution
Step-by-step explanation:
I think this will help you
Infinitely many, because if you subtract 5x from both sides, 4 = 4, and that is true at all times, no matter what x is.
Which expression is equivalent to
1/2(2n + 6)
A- 1/2 + 2n + 6
B- 2 1/2n + 6 1/2
C- n + 6
D- n +3
Answer:
D
Step-by-step explanation:
=(1/2)*2n+(1/2)*6
=n+3
Answer:
D
Step-by-step explanation:
=(1/2)*2n+(1/2)*6
=n+3
What is 51,255 divided by 300 as a decimal?
es )
A)
170.8
B)
170.85
170.851
D)
170.8512
Answer:
B. 170.85
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
How many more cards does Linda make more than paul during the week? Enter the answer in the box.
Answer:
108
Step-by-step explanation:
72 / 2 = 36 x 3 = 108 yup yup
Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the globe along the equator to be 24 inches. What is the volume of the globe? Round your answer to the nearest whole number.
Answer:
231in^3Step-by-step explanation:
We know that the volume of a sphere/globe is given as
V=4 /3πr^3
but the circumference is expressed as
C=2πr
solving for r given that C=24
24=2*3.142r
24=6.284r
r=24/6.284
r=3.8in
put r=3.6 in the expression for volume we have
V=4 /3π(3.8)^3
V=4 /3π(55
V=(220.59*3.142)/3
V=693.12/3
V=231in^3
The volume of the globe is 231in^3
The volume of the globe is 233 cubic inches.
Important information:
Circumference of the globe along the equator to be 24 inches.We need to find the volume of the globe.
Volume of sphere:Let [tex]r[/tex] be the radius of the globe.
Circumference of the globe along the equator is:
[tex]C=2\pi r[/tex]
[tex]24=2\pi r[/tex]
[tex]\dfrac{24}{2\pi }=r[/tex]
[tex]\dfrac{12}{\pi}=r[/tex]
Volume of the globe is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{12}{\pi}\right)^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{1728}{\pi^3}\right)[/tex]
[tex]V=233.444...[/tex]
[tex]V\approx 233[/tex]
Therefore, the volume of the globe is 233 cubic inches.
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THIS IS THE 2ND TIME I SAY THIS PLZ HELP ME ASAP!!!!!!!!! THIS IS CONFUSING
Answer:
15
Step-by-step explanation:
i had this on a test
if y= 6 when x= 24, find the value of x when y= 7
Answer:
x=28
Step-by-step explanation:
the y to x ratio is 1:4 or in other words all you need to do is multiply the y by 4 to get your new x value
-Hope this helps
Answer:
x=28 Hope this helps
Write a multiplication expression using the following clues: 1. One factor is a two digit number between 1 and 10 2. One factor is a two digit number between 1 and 10 (different from the first) 3. The product is greater than 8, but less than 10
Answer:
3.5 x 2.5=8.75
Step-by-step explanation:
Help me please
Brainliest if correct THX!!!
Answer:
1. irrational number
2. rational number
3. terminating decimal
4. repeating decimal
Step-by-step explanation:
1. If x isn't rational, it must be an IRRATIONAL NUMBER(the root I usually means not, hence the opposite of rational)
2. RATIONAL NUMBER
3. TERMINATING DECIMAL
4. 0.77777...= REPEATING DECIMAL(7 is repeating)
What is it called when regression methods are used for prediction outside the
sampled range of xvalues?
Outliers
Estimation
Interpolation
Extrapolation
can someone help me with 1-5 please because i’m really struggling
9514 1404 393
Answer:
angle SVR = 30°angle PVR = 90°angle SVQ = 60°angle SVP = 120°angle RVQ = 30°Step-by-step explanation:
As with finding distances on a number line, the easiest way is to subtract the smaller coordinate from the larger. Here, the "number line" is the arc at the edge of the protractor. The corresponding coordinates are ...
S: 40°
R: 70°
Q: 100°
P: 160°
The measure of an angle with its vertex at V will be the difference between the "coordinates" of the endpoints of the arc it intercepts. That is ...
m∠SVR = "R" - "S" = 70° -40° = 30°
The other angles are found the same way:
m∠PVR = 160° -70° = 90°
m∠SVQ = 100° -40° = 60°
m∠SVP = 160° -40° = 120°
m∠RVQ = 100° -70° = 30°
What is the interquartile range?
(a) 18
(b) 35
(c) 57
(d) 68
(e) 75
Whos better
Rod wave or polo G
And whats 12x12
Answer:
rod wave and 144 for sure
Step-by-step explanation:
rod wave is fat which means he is better
Answer:
12x12 is 144
Step-by-step explanatio
(3a²+9a+6)-(7a+2) what is the answer
Answer:
I think the answer is 5a^2+8
Step-by-step explanation:
[tex]12a^{2} + 6 - 7a + 2 \\ 5a^{2} + 6 + 2 \\ 5a^{2} + 8[/tex]
4 Underline the digit in tenths place
a) 423.16
b) 5.2
() 235.46
What is the difference between naming a segment and writing its distance?
Answer:
Explained below
Step-by-step explanation:
In naming a segment, we are essentially naming a line that has definite starting and endpoints. For example if the starting point of the segment is A and the endpoint is B, we can name it "segment AB".
In another example, a segment can be named with a single letter. For example the point from A to B can be referred to as "segment y" if AB is part of maybe a square.
Whereas, in writing a distance, we are essentially writing the measurement of length between the two endpoints. For example if the distance between AB is 20 metres, we can write distance between AB = 20 metres