Answer:
Step-by-step explanation:
y = mx + b, where m is the slope and y the y-intercept (the value of y when x=0).
(0, y) , (2, 7); m = 1/2
We can start with y = (1/2)x + b
To find b, use one of the two given points. I'll use (2,7), since (0,y) isn't helpful.
y = (1/2)x + b
7 = (1/2)*2 + b
7 = 1 + b
b = 6
The equation is y = (1/2)x + 6.
Now find (0,y) by using x = 0:
y = 6
The second point is (0,6)
============
2. (4, 2) , (5, y) m = 4
y = mx + b
y = 4x + b
Use (4,2) and solve for b:
2 = 4*4 + b
b = -14
The equation is y = 4x - 14
Now find (5,y):
y = 4x - 14
y = 4*5 - 14
y = 20 - 14
y = 6
The second point is (5,6)
Se attached graph.
--
Consider the line y = 3/5x + 4.
Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)
Answer:
y=3/5x + 2
Step-by-step explanation:
y-(-1)=3/5(x-(-5))
y+1=3/5(x+5)
5y+5=3x+15
5y=3x+10
y=3/5x+2
Choose the correct definition of
(2)
from below.
A.
kI
n!(n – kỳ!
B.
n!
(n-k)!
C.
!
k!(n-k)!
D.
n!
K!(K-n)!
Answer:
Answer is C noumber
Step-by-step explanation:
We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).
The formula for the number of combinations of n things taken r at a time is given by :-
C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=
k!(n−k)!
n!
Hence, C is the right option.
The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.
Answer:
The other leg is √65 cm
Step-by-step explanation:
Hi there!
We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm
We want to find the measure of the other leg
In right triangles, we can use the theorem to find the value of a side, if we know the lengths of the other two sides
The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse
If we say a is 4 and c is 9, then the equation will look like this:
(4)²+b²=(9)²
Raise each number to the second power
16 + b²= 81
Subtract 16 from both sides
b²=65
Take the square root of 65
b=√65, -√65
-√65 is not an applicable root for this problem, since distance cannot be negative
Hence, our answer is √65 cm
Hope this helps!
is h correct? someone help
Answer:
No The correct Answer is "G"
Step-by-step explanation:
First lets find 300% as a number which is 3 ok so now
increase 10 by 300%
so 100%+300%=400%
and half of 400 which is 200%
so H is no correct g is
Francis graphs the system of equations to determine its solution.
3x+2y=12
3x−y=3
What is the correct solution?
Enter your answer by filling in the boxes.
Answer:
Step-by-step explanation:
3x+2y=12 x= −2/ 3 y+4
3x-y=3 x= 1 /3 y+1
i hope this helps in anyway :/
The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
What is a Linear Equation?If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given that the system of linear equations;
3x + 2y = 12 and 3x − y = 3 is
Solving the equations by elimination, we get
x = 2 and y = 3
Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
For more reference on Linear Equation, click;
https://brainly.com/question/13738061
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A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.
please help
Which product is represented by the hundredths grid A. 0.5 X 0.02 = 0.01
B. 5 X 0.2=1
C. 0.5 X 0.2 = 0.1
D. 0.05 X 0.02 = 0.001
Answer:
The product of A would be the answer
Can someone help me?
Answer:
CD = 32 units
Step-by-step explanation:
The midpoint divides the segment into congruent parts:
CM = MD
8(x -2) = 4(5x -16)
2(x -2) = 5x -16 . . . . . . divide by 4
2x -4 = 5x -16 . . . . . . . eliminate parentheses
12 = 3x . . . . . . . . . . . . . add 16-2x to both sides
4 = x . . . . . . . . . . . . . . . divide by 3
Then the segment measures are ...
CM = 8(x -2) = 8(4 -2) = 16
CD is twice that length. CD = 32 units.
_____
Additional comment
There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...
8x -16 = 20x -64
Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.
Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."
PLEASE HELPPPPPPPPPPPPPP
Answer:
The answer is 18
Step-by-step explanation:
4050/225 = 18
Therefore 4050/18 = 225
what's 12+12+12?
_______
.
Answer:
the answer is ;
12+12+12 = 36
PLEASE HELP NEED TO GET THIS RIGHT WILL GIVE BRAINLIEST
Answer:
27 / 4x^6y^8.
Step-by-step explanation:
= 4 * 3^3 x^6 y^12 / 16 x^12 y^20
= 4*27 / 16 x^6y^8
= 4*27/ x^6y^8
= 27 / 4x^6y^8
Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?
f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10
Answer:
483/798-5458+7429=19035674846 :))
Step-by-step explanation:
PLEASE HELP!!! I need help, I don't understand please help me!!!!
Answer:
2.5
Step-by-step explanation:
Length of CB is 5
so we can take CF which is the midpoint and divide that by 2 since its split
What is the image of M(11,-4) using the translation (x,y)->(x-17,y+2?
Answer:
(-6, -2)
Step-by-step explanation:
Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.
Feet of Ribbon 1 5 10 15
Cost (in dollars) $3.00
a. Complete this ratio chart based on the information provided.
b. How many feet of ribbon can Serena buy for $12.00?
c. If Serena needs 17 feet of ribbon, how much will she pay? How do you know?
Answer:
(can't answer a since the ratio chart is incomprehensible through text)
b. 20 feet of ribbon for $12.00
12 / 3 = 4
5 x 4 = 20
c. 17 feet of ribbon for $10.20
find unit rate (cost / quantity)
3 / 5 = $0.60 per feet
0.60 x 17 = 10.2
1) Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n) es A) machinery lubricant. B) heat insulator in a home. internal combustion engine fuel. D) electrical conductor in a computer circuit.
The given properties would be most useful as a machinery lubricant.
How to identify properties of chemical substances?We are given the chemical and physical properties of the unknown substance as follows;
High viscosity at higher temperaturesUnreactive with other substancesLiquid at high temperaturesOrganic compoundPoor conductor of electricityNow, some of the properties of machinery lubricants are;
A high boiling point and low freezing point (in order to stay liquid within a wide range of temperature)A high viscosity index.Thermal stability.Hydraulic stability.Demulsibility.Corrosion prevention.A high resistance to oxidation.These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.
Read more about chemical substance properties at; https://brainly.com/question/672293
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Complete question is;
High viscosity at higher temperatures
unreactive with other substances
liquid at high temperatures
organic compound
poor conductor of electricity
Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)
A) machinery lubricant.
B) heat insulator in a home.
C) internal combustion engine fuel.
D) electrical conductor in a computer circuit.
pls help me with this question
I'll mark brainliest if your right! please help me!!!!
Answer:
its 3 and 5
Step-by-step explanation:
i know this because i took the quiz and its simple
pls help ill give brainliest
Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.
Answer:
Step-by-step explanation:
7.
Adam purchased 52 litres of gas for $58.71. How much was one litre of gas? (Round to
three decimals)
Answer:
$1.129
Step-by-step explanation:
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
Answer:
y= -3x + 8
Step-by-step explanation:
Put -2x + 6y = -4 into slope-interceltp form
Take the negative reciprocal of the slope.
Use this reciprocal in point-slope form
and you have,
= y= -3x + 8
(EDITED) Steps:
2x+6y = -4
6y=2x - 4
y= 1/3x + 2/3
if two lines are perpendicular,
m1 * m2 + -1
1/3 * m2 = -1
m2 = -3
the line perpendicular to this line is
y = -3x + k ; k ∈ R
the line passes through the point (5,-7)
so,
-7 = -3. (5) +k
-7 = -15 + k
k = 8
∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is
y= -3x + 8
Hope this helps, have a nice day/night! :D
can someone help me please.
Answer:
B, or second answer choice
Step-by-step explanation:
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
y - 1/3 = 3/4 (x - 4)
B
Do you know what the variables could be
Answer:
5, 7, and 12
Step-by-step explanation:
First we can make and equation
x + z + y = 24
we can plug in the numbers you gave us giving us
y = x + z
z = y - x
x = (y - 2) ÷ 2
Once, were done we get that x = 5 ≈ smallest number
z = 7 ≈ second largest number
y = 12 ≈ largest number
are c and d the correct answer for this question?
Answer:
A E
Step-by-step explanation:
A => 10/4 = 5/2
B => 4/2 = 2
C => 2/5
D => here y is less than x
E => 10/4 = 5/2
I need help getting the answer to this -71+blank=21
Answer:
It is Positive 92
Step-by-step explanation:
-71 + 92 = 21
Help Please please please
Find the slope
Answers:
Question 1 options:
-3
3
-2
Answer:
b
Step-by-step explanation:
A cyclist travels 122.5 km in 2 hours. Calculate his speed. *
61.25 km/hr
.016 km/hr
65 km/hr
Answer:
61.25
Step-by-step explanation:
speed = distance / time
speed = 122.5 km / 2 hour
= 61.25
A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.
Then descends at a rate of 2 feet per minute for 7 minutes. How far above the ground is the
balloon now?
When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.
20 - 14 = 6 feet
This means that the balloon is now 6 feet above the ground.
I hope I've helped! :)