Answer:
Step-by-step explanation:
(3 + 1)/(-2 - 4) = 4/-6 = -2/3
y + 1 = -2/3(x -4)
y + 1 = -2/3x + 8/3
y + 3/3 = -2/3x + 8/3
y = -2/3x + 5/3
2x + 3y - 5 = 0 is the standard form
The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, A line is passing through points (4, -1) and (-2, 3)
We know that, the equation of a line passing through two points is given by, (y-y₁) = (y₂-y₁)/(x₂-x₁)(x-x₁)
y+1 = (3+1)/(-2-4)(x-4)
y+1 = -2/3(x-4)
3y+3 = -2x+8
2x+3y-5 = 0
Hence, The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0
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Helppp meeee plssssssss
Answer: C
Step-by-step explanation:
in the problem, you know that the answer will be negative. -(-8/-4) gives you -2. There is no answer choice that is -2. Therefore, none of the above is your answer.
given a force of 10 N and an acceleration of 5 m/s 2. What is the mass ?
Answer:
2 kg.
Step-by-step explanation:
F = m * a (Newton's Second Law of Motion).
10 = m * 5
The mass m = 10/5 = 2 kg.
Solution,
Here,
Given,
Force= 10N
Acceleration= 5m/s^2
Mass= ?
Therefore, as we know that
Force= Mass× Acceleration
10=M×5
10/5= M
Therefore, M= 5kg.
If it helped, please mark it as the brainliest answer :)Amy read 42 pages from her 137 page magazine. She will spend 10 days reading the same number of pages each day until she finishes. Estimate how many pages Amy will need to read each day.
Answer:
Amy will need to read 1 page each day.
Step-by-step explanation:
Total number of page of the magazine = 137 pages
Read pages of the magazine = 42 pages
Remaining pages to be read = 137 pages - 42 pages = 95 pages
She spends 10 days reading the same number of pages each day until she finishes.
The number of pages read in each of the 10 days = 95 pages / 10 days
= 9.5 pages
In 10 days Amy reads 9.5 pages
In a day she reads ?
10 days -----------> 9.5 pages
1 day ----------------> ?
= 0.95 page
approximately 1 page per day
Thus, Amy will need to read 1 page each day.
A cell phone plan costs $150 to start. Then there is a $25 charge each month.
a. What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?
Answer:
$175
Step-by-step explanation:
Since it’s only one month you just add 150 by 25
Correct me if I am wrong
Need help ASAP! Which is the simplified form of the expression StartFraction (6 Superscript negative 4 Baseline) Superscript negative 9 Baseline Over 6 Superscript 6 Baseline EndFraction? StartFraction 1 Over 6 Superscript 42 Baseline EndFraction StartFraction 1 Over 6 Superscript 19 Baseline EndFraction 6 Superscript 6 6 Superscript 30
Answer: D. [tex]6^{30}[/tex]
Step-by-step explanation:
Using exponent rules an exponent to the power of a number will multiply by each other.
So the -4 and -9 will multiply.
The 6 in the numerator will now have a positive exponent of 36.
[tex]\frac{6^{36}}{6^6}[/tex]
Now we can divide and when we do so the exponents will subtract from each other.
So 36 - 6 = 30
And the base of 6 does not change.
The simplified form is [tex]6^{30}[/tex]
Answer: D.
Step-by-step explanation:
Using exponent rules an exponent to the power of a number will multiply by each other.
So the -4 and -9 will multiply.
The 6 in the numerator will now have a positive exponent of 36.
Now we can divide and when we do so the exponents will subtract from each other.
So 36 - 6 = 30
And the base of 6 does not change.
The simplified form is
[tex]6^{30}[/tex]
3p + q = 8 and
3p - q = 10
then p+q is?
Answer:
2
Step-by-step explanation:
3p + q = 8 and
3p - q = 10
then p+q is?
--------
add up side-by-side:
6p=18 ⇒ p=3
q=8-3p= 8 - 9= -1
p+q= 3-1=2
Answer:
2
Step-by-step explanation:
3p + q = 8
3p - q = 10
→ Minus the two equations away from each other which would cancel out 3p
2q = -2
→ Divide both sides by 2 to isolate q
q = -1
→ Substitute q = -1 back into 3p + q = 8
3p - 1 = 8
→ Add 1 to both sides to isolate p
3p = 9
→ Divide both sides by 3 to isolate p
p = 3
⇒ The question asks us to find p + q so,
3 + - 1
→ Remember the minus cancels out the plus
3 - 1 = 2
Choose the inequality that represents the following graph.
Answer:
A i think
Step-by-step explanation:
Answer:
B... -8<x
Step-by-step explanation:
When looking at the graph, we can see the arrow goes to the right, which means it will be that x is greater than whatever number. The open circle is on -8, so we know x is bigger than -8! Hope this helps
One half of the opposite of a number is five less than twenty.
Answer: -1/2x =20-5
Step-by-step explanation:
Hi, to answer this question we have to write an expression with the information given:
One half of the opposite of a number; a number is the variable (x), the opposite is -x, and one half of that number is equal to the number multiplied by 1/2. (-1/2x)
Is five less than twenty: the previous expression is equal to 20 minus 5:
Mathematically speaking:
-1/2x =20-5
Feel free to ask for more if needed or if you did not understand something.
7. Simplify the following equation:
9x-7i > 3 (3x-7u)
Answer:
i<3u
Step-by-step explanation:
Let's solve for i.
9x−7i>3(3x−7u)
Step 1: Add -9x to both sides.
−7i+9x+−9x>−21u+9x+−9x
−7i>−21u
Step 2: Divide both sides by -7.
−7i
−7
>
−21u
−7
i<3u
Hope this helps.
Answer: i < 3u
We first distribute 3.
9x-7i > 3 (3x-7u)
9x-7i > 9x - 21u
Subtract 9x from both sides.
-7i > -21u.
Divide both sides by -7. Since -7 is negative so the inequality sign will change.
i < 3u.
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A store is having a 20%-off sale on all merchandise.
a) If Mai buys one item and saves $13, what was the original price of her purchase? and explain
In a six-question multiple-choice test, there are four possible answers for each question. For a person who guesses at each question, what is the expected number of correct answers?
Answer:
idk
Step-by-step explanation:
if not i would help sorry
Answer:
1 answer. (possibly 2)
Step-by-step explanation:
There's [tex]\frac{1}{4}[/tex] chance they get the correct answer for a question.
That means if they answer 4 questions, they can expect 1 answer to be correct. If they answer 6 questions, they can expect 1.5 answers to be correct but you can't have 0.5 of an answer so they can expect 1 question answered correctly.
Find the slope of the line containing the given points
Answer:
-9/8
Step-by-step explanation:
The two points given are
(1,6) and (9,-3)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-3-6)/(9-1)
= -9/8
What is the value of the expression. 3√216 NEED ANSWER RIGHT NOW
Answer:
18√6 or 44.1
Step-by-step explanation:
3√216= 3√4*9*6=3*2*3√6=18√6 = 44.1
PLEASE HELP ASAP!!
Write an expression using letters and/or numbers for the following problem.
Complete the following frame for 6x = 54:
The equation is true when x = _ because _.
Answer:
The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.
Step-by-step explanation:
Given: [tex]6x=24[/tex]
To find: x
Solution:
A equation is a statement that defines the equality of two expressions or numbers.
[tex]6x=24[/tex]
Divides both sides by 6
[tex]\frac{6x}{6}=\frac{24}{6}\\x=4[/tex]
Therefore,
The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.
LAST ONE
Find the range of the data.
16, 55, 61, 92, 31
range =
Answer:
76
Step-by-step explanation:
arrange the data set from least to greatest:
16, 31, 55, 61, 92
Range = Highest value - Lowest value = answer
Range = 92 - 16 = 76
A company is hosting a charity meal 800 people work for the company it is estimated 70% of the employees will attend it is expected that if an employee attends they will bring a partner the cost of attending the meal is £5 how much money will there is for charity?
Answer:
5600 pounds
Step-by-step explanation:
first find the number of workers attending:
70%of 800 = 560
Next find the number of people attending:
560 x 2 = 1120
Now, Calculate the money raised:
5 X 1120 = 5600
Hope this helps
Good Luck
What is the measure of angle B?
60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.
what is 2 times one over 10??
Answer:
20
Step-by-step explanation:
Find the area of the shaded region below.
All shapes in the figures are regular polygons.
PLSS HELP
Answer:
Step-by-step explanation:
We have 2 hexagons there, so we need to use the area formula for the large hexagon - the area of the small hexagon. As long as both of these are regular (and they are), we will use the formula
[tex]A=\frac{1}{2}ap[/tex]
where a is the apothem and p is the perimeter of the hexagon. We'll start with the large one first.
Note that a hexagon has 6 central angles that are all equivalent in degree. 360 / 6 = 60 degrees. Each of those 6 triangles has a vertex angle of 60. If we extract one of those triangles and then cut it in half by dropping an altitude from the vertex angle to the base of the triangle, we get a right triangle. The vertex angle is 30, one base angle is 90 and the other is 60. The height of this right triangle is the apothem, for which we want to solve. Using right triangle trig,
[tex]tan(60)=\frac{a}{7}[/tex] The 7 comes from the fact that when we split the triangle in half by dropping an altitude, we not only split the vertex angle in half, we also split the base length in half...from 14 to 7. Continuing,
7 tan(6) = a and
a = 12.124
Filling in the area now for the large hexagon:
[tex]A=\frac{1}{2}(12.124)(84)[/tex] {the perimeter is 6 sides times a length of 4 per side} and
A = 509.208
Now for the small hexagon. We'll do the same thing...extract a triangle and cut it in half by dropping an altitude and solving for a which is the height of the triangle. This half triangle has a base of 3 (half of 6).
3 tan(60) = a and
a = 5.196
Filling in the area now for the small hexagon:
[tex]A=\frac{1}{2}(5.196)(36)[/tex] and
A = 93.528
Now subtract the smaller area from the larger:
509.208 - 93.528 = 415.68
Please answer quickly!!!
Answer:
3.5 min
Step-by-step explanation:
1 + 1 =
long method pls
Mukuunda bought 20 dozen of pencilsat Rs. 100. At what rate should a pencil be sold so that the profit may be Rs. 20
Hellllppp
Examine the rotation. Which best describes point D?
angle of rotation
center of rotation
image
pre-image
Answer:
center of rotation
Answer:
Center of rotation.
Step-by-step explanation:
The center of rotation is the point at which an image turns.
Point D is described as the center of rotation.
Which points are coplanar and collinear
Answer:
Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear. Coplanar points are points all in one plane and non coplanar points are points that are not in the same plane.
Step-by-step explanation:
hope this helps you :)
Please please help!!!! According to the probability distribution below, what is the expected value of X? X 0 1 2 3 4 5 P(X) 0.3 0.2 0.16 0.2 0.04 0.1 A.) The expected value is 0.1 B.) The expected value is 5 C.) The expected value is 2.5 D.) The expected value is 1.78
Answer:
D.) The expected value is 1.78
Step-by-step explanation:
The expected value of a probability distribution is evaluated using the formula.
Expected Value, [tex]E(X)=\sum^{n}_{i=1}x_iP(x_i)[/tex]
Therefore, from the given probability distribution, we have:
E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)
E(X)=1.78
The Expected value of X is 1.78.
The correct option is D.
Answer:
D.) The expected value is 1.78
Step-by-step explanation:
i took the test
Find solution r+9-6r=28
Answer:
hope this is correct
(b^7/4^5)^-3 i need help its urgent
Answer:
(4^5/b^7)^3
(1024/b^7)^3
1024^3/b^21
What is the solution to this equation?
X- 16 = 9
O A. x=-7
O B. x = 7
O C. x = -25
O D. x= 25
Answer:
d) x=25
Step-by-step explanation:
x-16=9
add 16 to both sides canceling out -16 and adding 9 and 16, making it positive 25
after moving 16 to the other side of the =, and adding it to 9 it should look like:
x=25
therefore making the answer x=25
Jose is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 4 people. Jose reserved twice as many small rooms as large rooms, which altogether can accommodate 70 guests. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.
Answer:
No. of large rooms = 7
No. of small rooms = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
Step-by-step explanation:
capacity of large rooms = 4 people
let the no. of large rooms be x
thus, total no of people which can be accommodated in x rooms = 4*x = 4x
capacity of small rooms = 3 people
let the no. of small rooms be y
thus, total no of people which can be accommodated in y rooms = 3*y = 3y
total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y
It is given that total small room and large room can accommodate 70 guests
thus,
4x + 3y = 70 _________equation 1
_________________
It is also given that Jose reserved twice as many small rooms as large rooms,
so, if no. of large rooms is x and no. of small rooms is y
then
y = 2x _________equation 2
substituting value of y in equation 1 we have
4x + 3(2x) = 70
=>4x + 6x = 70
=> 10x = 70
=> x = 70/10 = 7
No. of large rooms = 7
No. of small rooms = y= 2x = 2*7 = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
The number of the small rooms is 14.
The number of large rooms is 7.
Assuming that the number of the large rooms is x,
So, the number of small rooms is 2x
According to the question:
[tex]3[/tex] × [tex]2x[/tex] [tex]+ 4[/tex] × [tex]x = 70[/tex]
[tex]6x+4x=70\\10x=70\\x=7[/tex]
So, 2x = 2(7) = 14
Therefore, the number of the small rooms is 14 and the number of large rooms is 7.
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Find the volume of a triangular prism that has a triangular base of4 and height of3 with a prism height of 11
Answer:
66 cubic units
Step-by-step explanation:
For a prism, the volume is the area of the base multiplied by the height.
area of base = area of triangle = (1/2) * base * height (of the base)
volume = area of base * height of prism
volume = (1/2) * 4 * 3 * 11
volume = 66
Answer:
66 cubic units
Step-by-step explanation: