We are given a line and a point, I assume that we want to see if the point is on the line or not.
We will see that the point does not belong to the line.
First, let's find the equation of the line.
A general line can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:
[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]
Then our line is something like:
[tex]y = -\frac{13}{3} *x + b[/tex]
To find the value of b, we can use one of the two points that we know that are on the line.
For example, the point (-2, 4) means that when x = -2, we must have y = 4.
Replacing that in the equation we get:
[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]
Now we can write the line equation as:
[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]
Now we need to see if the point (14, -6) belongs to the line.
To see this, we evaluate the line in x = 14.
[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]
This is different than -6, so the point does not belong to the line.
If you want to learn more, you can read:
https://brainly.com/question/20632687
You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will allow you to advance
Answer:
At least 98 is needed in the 5th game
Step-by-step explanation:
The missing parameters are:
[tex]Game\ 1 = 95[/tex]
[tex]Game\ 2 = 91[/tex]
[tex]Game\ 3 = 77[/tex]
[tex]Game\ 4 =89[/tex]
[tex]Mean = 90[/tex] at least
Required
The score in game 5 to make you advance
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
So, we have:
[tex]Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}[/tex]
[tex]Mean = \frac{352 + Game\ 5}{5}[/tex]
The mean must be at least 90.
So, we have:
[tex]\frac{352 + Game\ 5}{5} \ge 90[/tex]
Multiply both sides by 5
[tex]5 * \frac{352 + Game\ 5}{5} \ge 90 * 5[/tex]
[tex]352 + Game\ 5 \ge 450[/tex]
Make Game 5 the subject
[tex]Game\ 5 \ge450 - 352[/tex]
[tex]Game\ 5 \ge 98[/tex]
At least 98 is needed in the 5th game
Please, multiply the following Algebric sum.........
3ab+2bc, 5bc
Answer: The required product of two given algebraic expressions =15abc +10b²c²
Step-by-step explanation:
Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc
i.e. The required product = (3a+2bc) x (5bc)
= 3a x 5bc + 2bc x 5bc [Using right distributive property: (a+b)c= ac+bc]
= (3x 5) abc + (2 x 5) (bc)²
= 15abc +10b²c²
Therefore, the required product of two given algebraic expressions = 15abc +10b²c²
PLEASE HELP WILL GIVE POINTS ABD BRAINLYIST ASAP
Garnet has a container with 15 1/2
cups of flour in it. She can make one dozen muffins with 2 1/2 cups of flour.
How many dozens of
muffins can Garnet make with the flour she has?
Answer:
6
Step-by-step explanation:
2.5x6=15 and thats the closest it'll get. To be exact, it's 6.2, but i dont know if you need that.
PLEASEEE HELP ME! ASAAAPPO
Answer:
a. x = 22
b. Perimeter = 100
Step-by-step explanation:
a. Based on the proportionality theorem, we have the following:
(2x - 4)/8 = (36 - 6)/6
(2x - 4)/8 = 30/6
(2x - 4)/8 = 5
Cross multiply
2x - 4 = 8*5
2x - 4 = 40
2x = 40 + 4
2x = 44
x = 44/2
x = 22
b. Perimeter of ∆JKL = KJ + KL + JL
KJ = 2x - 4 + 8
Plug in the value of x
KJ = 2(22) - 4 + 8
KJ = 44 - 4 + 8 = 48
KL = 36
JL = 16
Perimeter = 48 + 36 + 16
Perimeter = 100
Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make
My previous answer was incorrect, sorry for that... the correct answer would be 358,800
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{He has 26 letters all together (A - Z)}[/tex]
[tex]\large\text{25 if he starts from his second letter (B - Z)}[/tex]
[tex]\large\text{24 if he starts from his third letter (C - Z)}[/tex]
[tex]\large\text{ 23 if he starts from his fourth letter (D - Z)}[/tex]
[tex]\mathsf{26\times25\times24\times23}[/tex]
[tex]\mathsf{26\times 25 = \bf 650}[/tex]
[tex]\mathsf{650\times24\times23}[/tex]
[tex]\mathsf{650\times24 = \bf 15,600}[/tex]
[tex]\mathsf{15,600\times 23}[/tex]
[tex]\mathsf{ =\bf 358,800}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 358,800}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Pls help I have this homework !! bye I will mark you the best or brainliest!!
Answer:
90-54w
Step-by-step explanation:
18(5−3w)=
18*5=90 , 18*3w= 54w =
so simplified it would be = (90-54w)
Please mark me as brainliest :D
I NEED ASAP DUE TODAY!!!! WILL GIVE THE BRAINLEST
solution to
y=0.50x+1
and
y=0.25+5
Explain step by step plz
A freight elevator is holding 15,893 pounds of merchandise stored in containers. Another container weighing 3,473 pounds is placed on the elevator. Then a container weighing 5,492 pounds is taken off the elevator. Let w represent the weight that the elevator is holding. Which equation could be used to solve for the the amount of weight the freight elevator is holding after the container is taken off of it?
Answer: [tex]W=13,874\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Elevator holds [tex]15,893\ \text{Pounds}[/tex] of merchandise
Now, 3473 Pounds of the box is loaded, and then 5492 Pound of the container is taken off
Net weight held by elevator is
[tex]\Rightarrow W=15,893+3473-5492\\\\\Rightarrow W=13,874\ \text{Pounds}[/tex]
please help!
options
A) integer
B) Real
C) Whole
D) irrational
C. Whole
#CarryOnLearningAnswer:
m
Step-by-step explanation:
3. Choose the equation of the line parallel to the line 5 = -10x - 5y that passes through the point (-2,5). A y=-2x + 1 C y=x-5 By=-12x + 5 D y = 5x + 11
Answer:
y = -2x + 1
Step-by-step explanation:
The equation is in standard form, first, we need to convert it to slope-intercept form.
5 = -10x - 5y
5 + 10x = -5y
Divide both sides by -5 to isolate y variable.
y = -2x - 1
If the line is parallel, the slope remains the same.
To find the y-intercept, you need to plug the values of x and y into the equation, which is y = 2x + b
5 = -2(-2) + b
5 = 4 + b
1 = b
The equation is -2x + 1
A professor compares the number of students at his school majoring in statistics, engineering, both, or neither. If the number of students majoring in both is 20, how large is the population?
Answer:
1,946
Step-by-step explanation:
251+175+1500+20=1,946
Plz I need this super fast it is due in 30 min! Plz help
Answer:
4ft 1
Step-by-step explanation:
Answer:
50 inches=4.1 inches
so answer is option B
A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?
If a person trys to say to pick a link to find the answer I will report you and email brainly!!
Answer:
its a 1/6 chance
Step-by-step explanation:
each face has a 1/6 chance of being rolled since there are 6 faces
What is the slope of a line that passes through (1, -2) and (2, 4)?
Please help
The formula would be (y2-y1)/(x2-x1)
So, plugging it in, the equation would be (4+2)/(2-1)
Solving that, you get you a slope of 6.
Ill give brainliest ------
Answer:
about 63.59 ft squared
Step-by-step explanation:
9/2 = 4.5--> Radius
Now we use the Area formula: piR^2 (Pi x radius squared)
4.5^2 = 20.25
20.25 x 3.14 = 63.59 -(rounded answer)
Which is the greatest common factor of
84 and 60?
A 4
B 6
© 12
D
24
Answer:
12
Step-by-step explanation:
Find sin x, sin z, cos x, and cos z. Write each answer as a simplified fraction
Answer:
sin x=55/73
Sinz=48/73
cosx=48/78
cosz=55/73
Step-by-step explanation:
Using SOHCAHTOA
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.
6c^2+ 2c^4 - c
Answer:
Standard form: 2c^4 + 6c^2 - c
Degree: 4th
Leading coefficient: 2
Classification: Trinomial
Step-by-step explanation:
In standard form, you have to put the term with the highest exponent first.
With finding the degree, you just look at the highest exponent and that's the degree. 4 is the highest exponent, so it is to the 4th degree.
The leading coefficient is the number attached to the highest exponent. 4 is the highest and the number attached to it is 2.
Classification goes by how many terms there are. Since there are 3, it's trinomial. Tri as in three.
A metallic cuboid measuring 16cm by 8 cm by 4cm was melted.The material was used to make a cube . What is the length of the cube
Answer:
Step-by-step explanation:
The volume of the metal cuboid = length x width x height = 16 x 8 x 3 = 16 x 24 = 384 cm^3
If this same cuboid is going to be reshaped, then
The volume of the cuboid = The volume of the cube
Therefore,
l^3 = 384
l = [tex]\sqrt[3]{384}[/tex]
l = 7.268..
l = 7.27cm ( 2dp)
Hope this helps.
Sam is a second grader and weighs 35 kilograms. How many milligrams does Sam weigh?
Answer:
35,000,000 miligrams
Step-by-step explanation:
1 kilograms= 1,000,000
1,000,000×35=35,000,000
Lucy bought a broken toy. She repaired it and sold it to her friend. Lucy made the following list to help her calculate her profit. -Price paid for the toy: $5.25 -Cost to repair the toy: $1.33 -Selling price of the toy: $10.00 How much profit did Lucy make by selling the toy?
Answer:
6.08
Step-by-step explanation:
10.00 - 5.25 + 1.33
who would like some points? 23x23x23x23x23x23x23x23
first correct answer = brainliest
Answer:
78310985281
Step-by-step explanation:
What is the slope in this situation: A bean plant is growing three inches every two days.
Answer:
I need a picture of the problem to be able to solve it.
Step-by-step explanation:
In a promotion at a store, each customer gets a chance to randomly draw a ticket from a box. There are 100 tickets. 20 tickets say "winner" and 80 tickets say "sorry, try again". Assume two customers play and that the ticket is not replaced after the first customer plays.
A) What is the probability that the second customer wins, given that the first customer wins?
B) What is the probability that the second customer loses, given that the first customer wins?
C) What is the probability that the second customer wins, given that the first customer loses?
Answer:
It's B
Step-by-step explanation:
Which statement is true about rectangular prisms?
A. All rectangular prisms have five faces.
B. The bases are always congruent.
C. The lateral faces are always congruent.
D. All rectangular prisms have three lateral faces.
Answer:
it b
Step-by-step explanation:
Calculate 10% of $20.00.
Answer:
$2
Step-by-step explanation:
Divide $20 by 10 for 10 percent.
Please find the radius and the circumference will give brainlyest
Find an equation of the line perpendicular to y=-2x +6 that passes through the point of (-2,8)
Answer:
Joe mama
Step-by-step explanation:
[tex]=59(F−32)[/tex]
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
Think of the equation as an equation for a line y = m x + b where in this case C = 5 9 ( F − 32 ) or C = 5 9 F − 5 9 ( 32 ) You can see the slope of the graph is 5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is 5 9 of 1 degree Celsius. C = 5 9 ( F ) C = 5 9 ( 1 ) = 5 9 Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9 5 degrees Fahrenheit. C = 5 9 ( F ) 1 = 5 9 ( F ) ( F ) = 9 5 Since 9 5 = 1.8, statement II is true. The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5 9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true: C = 5 9 ( F ) C = 5 9 ( 5 9 ) C = 25 81 ( which is ≠ 1 ) An increase of 5 9 degree Fahrenheit leads to an increase of 25 81 , not 1 degree, Celsius, and so Statement III is not true. The final answer is D.
Can somebody please help I’ll give Brainliest answer❤️
Answer:
I believe the answer is 4 inches long
Step-by-step explanation: