Answers
Step-by-step explanation:
[tex]the \: gradient \: of \: line \: a \: is[/tex]
[tex]m = \frac{4}{1 } \\ m = 4[/tex]
[tex]the \: gradient \: of \: line \: b \: is[/tex]
[tex]m = \frac{ - 2}{1} \\ m = - 2[/tex]
Gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].
What is gradients?" Gradients is defined as the ratio of difference of y-coordinates to the difference of x-coordinates."
Formula used
Gradients [tex]= \frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
According to the question,
Given from the graph,
Coordinates of Line A
[tex](x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)[/tex]
Substitute the value in the formula we get,
Gradient of line A [tex]= \frac{7-3}{4-3}[/tex]
[tex]= 4[/tex]
Coordinates of Line B
[tex](x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)[/tex]
Gradient of line B [tex]= \frac{5-3}{-2-(-1)}[/tex]
[tex]= -2[/tex]
Hence, gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].
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Related Questions
i will give you brainiest :)
solve for k
9/10 = 10/k
Answers
Answer:
k = 100/9
Step-by-step explanation:
In this question, we will be solving for "k".
Solve:
9/10 = 10/k
Cross multiply.
(9 · k) = (10 · 10)
9k = 100
Divide both sides by 9
k = 100/9
Your answer would be k = 100/9
tom and tammy race cross country on motor bikes to drive 450 miles in 9 hours. Tammy took 7 1/2 hours to travel the same distance as tom compute the unit rate that describes toms average driving speed and tammy's average driving speed show how your decisions below
Answers
Answer:
50 and 60 mph respectively
Step-by-step explanation:
Step one:
given data
total distance= 450 miles
time take= 9 hours
Required
Tom and Tammy's average speed
Step two:
Tom's average speed= 450/9
= 50 miles per hours
Tammy's average speed= 450/7.5
= 60 miles per hours
helpppppppppp plz..............
Answers
Answer:
8miles
Step-by-step explanation:
velocity= 6/(45/60)=8miles/h
distance = 8miles in 1 hour
A football stadium has 4,890 seats. There are 6 sections
of seats with the same number of seats in each section.
How many seats are in each section?
Answers
Answer:
815 seats in a section
Step-by-step explanation:
4,890/6 Equation
815 Solve
6
How many solutions does the system of linear equations represented in the graph below have?
Infinitely many solution
One solution
No Solution
None of the above
Answers
Thanks in advance!
For what value of the constant a does the system of equations below have infinitely many solutions?
Answers
Answer:
1) Try a = 23/2. With this value, equation 1 multiplied by 2 is exactly the same as equation 2.
2) Try dividing 2005/3 + 2005/4 - 2005/6. Ignore the fractional parts.
3) If you are allowed to repeat the letters, then you should have: 3^3 = 27
Answer:
a = 8
Step-by-step explanation:
For the 2 equations to have infinite solutions we require the solution to be in the form
0 = 0
Given
2x + 5y = - 8 → (1)
6x = 16 + a - 15y ( add 15y to both sides )
6x + 15y = 16 + a → (2)
Multiply (1) by - 3
- 6x - 15y = - 24 → (3)
Adding (2) and (3) term by term gives
0 + 0 = 16 + a - 24
For the right side to be zero , then
16 + a = 24 ( subtract 16 from both sides )
a = 8
17 is what percent of
32?
Answers
Answer:
53.13
Step-by-step explanation:
i just looked it up to back up my answer?
Is 12x^2 a factor of 6x
Answers
Answer: 12x^2 is 144 because 12 times 12 is 144 which means 6 does not include with those so no 6 is not a factor of that
Step-by-step explanation:
Help PLEASE ASAP, Algebra question, need steps
Answers
Answer: x=2
Step-by-step explanation: I download and I see your work and that my answer up there, hope this help
f (x) = 4x² -4x
Find f (-7)
Answers
Answer:
f(-7) = 224
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x² - 4x
f(-7) is x = -7
Step 2: Evaluate
Substitute in x: f(-7) = 4(-7)² - 4(-7)Exponents: f(-7) = 4(49) - 4(-7)Multiply: f(-7) = 196 + 28Add: f(-7) = 224Natalie went skydiving. She jumped out of the plane at 3,080 feet above the ground. At 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. At this point, how far is she from the plane? Explain how you found your answer. PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Answers
1710 + 35 = 1745
Answer: 1745 feet
Use the graph to estimate the solution to the quadratic-linear system
Answers
An item is regularly priced at $27. Jose bought it on sale or 45% off the regular price
Answers
Answer:
You pay 14.85
You save 12.15
Step-by-step explanation:
Trust
ILL MARK AS BRAINLESS
Answers
Answer:
its liter
Step-by-step explanation:
Answer:
it is 1000% Liters
Step-by-step explanation:
plz mark me brainless
Simplify the expression.
-6q + 7 - 2 + 4q
A: 5 - 2q
B: 2q - 5
C: 5 + 2q
D: 10+2q
Answers
Answer:
c
Step-by-step explanation:
-6q+4q=2q and 7-2=5 so 2q+5
Solve the system of equations Algebraically.
x+y=-3
y= x + 3
Find the value of.x, then y. Write your answer as an ordered pair.
Answers
Put value of y in equation x+y=(-3)
x+x+3=(-3)
2x=(-6)
x=(-3)
Put x=(-3) in x+y=(-3)
(-3)+y=(-3)
y=0
So, x=(-3)
y=0
What is the perimeter of a square with an area of 81 cm??
Answers
Answer:
36 cm
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
81÷2=40.5
40.5×4=162
From looking at a parabola from a graph, I can kinda figure out the vertex form of it, and then factor it out to standard form.
but, in vertex form, which is a(x=h)+k, how do I figure out the a. usually, it's 1, but if it's not, how do i know that by just looking at the graph
Answers
Answer:
mhm
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
In 5 rounds of a game, Jill scored -3, 8, 9, -7, and 13. What integer represents her average score for 5 rounds? Please answer ASAP!!!
Answers
Answer:
4
Step-by-step explanation:
-3 + 8 + 9 + (-7) + 13 = 20
20/5 = 4
What is the solution to the system?
Answers
Answer:
(1, 3)
Step-by-step explanation:
The solution to these kinds of graphs is where the 2 lines intersect, in this case they intersect at (1, 3), so (1, 3) is the solution
Look at the photo pick A B C D either one explanation not needed thank you! <3 -14- don’t guess
Answers
Answer:
that correct answer is A. this is how i remember it WALK TO a friends house then you walk UP to the door
What is the measure of m∠6
Answers
Answer:
C. 118.2°
Step-by-step explanation:
180-61.8=118.2
which statement describes the solutions of the equation? 4x/3x+1 = x/2x+10
A) the equation has one valid solution and no extraneous of solutions.
B. the equation has one valid solution and one extraneous of solutions.
C. the equation has two valid solution and no extraneous of solutions.
D. the equation has no valid solution and two extraneous of solutions.
Answers
Answer:
The equation has one valid solution and no extraneous of solutions.Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.
The equation has one valid solution and no extraneous of solutions. The correct option is A.
What is equation?An equation is a mathematical expression in terms of one or more unknown variable.
Given the equation : 4x/3x+1 = x/2x+10
Simplify by Cross multiplication, we get
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
Simplifying further and solving for x
-5x² = 39x
-5x = 39
x = -39/5
We have just one value of x.
Hence, the equation has one valid solution and no extraneous of solutions.
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Solve the system of linear equations
Answers
Answer:
I think its (3,2). you find where they meet and that's your answer
A student draws a quadrilateral that has two sides measuring 5 cm and two sides measuring 8 cm, and the sides opposite to each other are parallel.
Which of the following quadrilaterals could the student have drawn?
Select all that are possible.
A.square
B.rectangle
C.rhombus
D.parallelogram
E.trapezoid
Answers
Answer:
B
Step-by-step explanation:
two sides are longer than the other two, D could also be one of the choices but rectangles have two parallel lines and have shorter sides at the sides
I don’t know how to do this I’m so confused
Answers
Answer:
You have to graph it
Step-by-step explanation:
Step-by-step explanation:
take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..
[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]
this is for the first equation..so the coordinated are...
(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)
use the same methord to find the others
If y = 3x – 8, and y = f(x), find f(2). *
Answers
Answer:
f(2) = -2
Step-by-step explanation:
Replace y with f(x). The equation is now f(x) = 3x - 8. f(2) means that you replace all of the x’s with 2’s. Bringing the equation to f(2) = 3(2) - 8. You now just have to solve the equation. f(2) = 6 - 8. f(2) = -2
Which linear function represents the line given by the point-slope equation y - 3 = 4(x - 5)?
O f(x) = 4x - 17
Of(x) = x - 20
O f(x) = 7x-5
f(x) = 4x - 2
Answers
Answer:D.f(x)=4x-10
Step-by-step explanation:
2020edge
Annabelle is working two summer jobs, making $10 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work no more than 19 total hours and must earn no less than $290. If Annabelle worked 3 hours babysitting, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Answers
Answer:
she would need to work at least 13 hours lifeguarding to get to the 290 her with the of working an extra 3 hours
Step-by-step explanation:
subtract the 30 dollars from babysitting from the 290 needed you 260 then divide it by 20
The minimum number of whole hours lifeguarding that she must work to meet her requirements will be 14 hours.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Annabelle is working two summer jobs, making $10 per hour babysitting and making $20 per hour lifeguarding.
In a given week, she can work no more than 19 total hours and must earn no less than $290.
Now,
Let x represents the number of hour for babysitting, and 'y' represents the number of hours for lifeguarding.
Since, In a given week, she can work no more than 19 total hours and must earn no less than $290.
Hence, We can formulate;
⇒ x + y < 19
And, 10x + 20y > 290
So, For Annabelle worked 3 hours babysitting, the minimum number of whole hours lifeguarding is,
⇒ 3 + y < 19
⇒ y < 16
And, 10x + 20y > 290
⇒ 30 + 20y > 290
⇒20y > 290 - 30
⇒ 20y > 260
⇒ y > 13
Thus, The possible value of y = 14, 15
So, The minimum number of whole hours lifeguarding that she must work to meet her requirements will be 14 hours.
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What expression is equivalent to the expression 5 + 3y + 5y?
Answers
Answer:
5 + 8y
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
5+8y
Step-by-step explanation:
combine like terms (3y+5y)