2x+y=40 kx+2y=80
A system of equations is shown, where k is a constant. If the lines represented by the equations in the system are graphed in the xy-plane, for what value of k would the lines coincide?
A. -4
B. 1
C. 2
D. -4
The value of 'k' for the given system of equation that coincides is 4
k=4
Given :
System of equations
[tex]2x+y=40 \\kx+2y=80[/tex]
The given equation is in the form of ax+by=c
When the two lines coincides then
[tex]\frac{a_1}{a_2} =\frac{b_1}{b_2} =\frac{c_1}{c_2}[/tex]
Lets make the coefficients proportional to each other and then solve for k
[tex]\frac{2}{k} =\frac{1}{2} =\frac{40}{80} \\\frac{2}{k} =\frac{1}{2} =\frac{1}{2} \\\\\frac{2}{k} =\frac{1}{2} \\4=k\\k=4[/tex]
The value of k from the given system of equation is 4
When the line coincides then the value of k is 4
Learn more : brainly.com/question/24022234
What is the value of x³ + y³ when x= 3 and y=4?
rewrite the following expression using base only once 7^6 x 7^8
Answer:
[tex]7^{14}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]7^{6}[/tex] × [tex]7^{8}[/tex] = [tex]7^{(6+8)}[/tex] = [tex]7^{14}[/tex]
I need answers ASAP PLEASE HELP
Answer:
ok im telling people to help u because i dont know that xd
Step-by-step explanation:
At most, Bob can spend $50 on sandwiches and chips for his picnic. He already bought chips for six dollars and will buy sandwiches that cost $4.50 each. How many sandwiches can buy?
50 - 6 = 44
44 / 4.50 = 9.77777778 ( 9 sandwich cuz u can get 0.77777778 of a sandwich.)
He can buy 9
What are the possible values of x if (4x - 5)^2=49? Check all that apply.a-4/5
B-1/2
C3
D5
E7
Answer:
e i think
Step-by-step explanation:
18 people take an aerobic class and 24 people take a karate class. If 32 people take only one of the two classes, how many people take both classes brainly
Answer:
5
Step-by-step explanation:
The radius of a sphere is 13 cm. Which is the volume of the sphere to the nearest tenth?
Answer:
2,929.3π cm^3
Step-by-step explanation:
Find the x-intercept of the graph of y=2x+7
Help
I need help please
A line includes the points (1,9) and (9, 10). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper
fractions, and improper fractions. Simplify all fractions.
Answer:
y - 9 = 1/8(x - 1)
Step-by-step explanation:
m = (10 - 9)/(9 - 1) = 1/8
y - 9 = 1/8(x - 1)
A car covers a distance of 50 km in 360 min . Calculate the speed of the car
Answer:
0.15 km/min
Step-by-step explanation:
V=S/T
=50/360
≈0.15km/min
Rewrite the equation by completing the square 2x^2-11x+14=0
Answer:
x1 = 2 and x2 =7/2 or 3.5 yeah it says I need 20 word but I'm done so bye good luck!
Compare lengths. Write >, <, or = .
5 ft 3 in. and 64 in.
Answer:
<
Step-by-step explanation:
What conclusion can be drawn from the quiz scores shown below?
Ken's class: 72, 78, 83, 84, 85, 87, 92
Judy's class: 76, 78, 85, 87, 89, 92, 98
Answer:
Ken class has a median of 84 while Judy class a median of 87
Step-by-step explanation:
Ken class has a median of 84 while Judy class a median of 87
Kens class has a mean score of 83, and Judy's class has a mean score of 86.43(rounded) so, judging by the mean, Judy's class is smarter. If we take a look at the median, (Ken: 84, and Judy: 87) then Judy's class is smarter. So, overall Judy's class is smarter than Ken's class.
Which of the following graphs the equation
y = 1/5x + 1
welp i cant help but i can sing ;-;
Step-by-step explanation:
Write the expression as a polynomial in standard form
5x+4x^2(2x+7)-6x^2-9x
Answer:
8x^3 + 22x^2 - 4x
Please help me with this
Answer:
B. 1/3
Step-by-step explanation:
15/45 = 1/3
Please help with explanation each graph shown is a translation of the graph of f(x)=x^2 wrote the function in vertex form
Given:
The graph of a function.
To find:
The vertex form of the function.
Solution:
The graph is a U-shaped curve or a parabola with vertex at [tex](-3,-1)[/tex].
The parent function for vertical parabolas is [tex]f(x)=x^2[/tex] with vertex at (0,0).
It means the graph of [tex]f(x)=x^2[/tex] translated 3 units left and 1 unit down the get the given graph.
The vertex form of a parabola is:
[tex]y=a(x-h)^2+k[/tex]
Where, a is a constant and (h,k) is vertex.
The vertex of the given parabola is at [tex](-3,-1)[/tex]. So, [tex]h=-3,k=-1.[/tex].
[tex]y=a(x-(-3))^2+(-1)[/tex]
[tex]y=a(x+3)^2-1[/tex] ...(i)
The graph passes through point (-2,0). Putting [tex]x=-2,y=0[/tex], we get
[tex]0=a(-2+3)^2-1[/tex]
[tex]1=a(1)^2[/tex]
[tex]1=a[/tex]
Putting [tex]a=1[/tex] in (i).
[tex]y=1(x+3)^2-1[/tex]
[tex]y=(x+3)^2-1[/tex]
Therefore, the vertex form of the given graph is [tex]y=(x+3)^2-1[/tex].
HELP PLEASE ITS PAST DUE AND NEED THIS DONE
Answer:
24cu. cm
Step-by-step explanation:
please help need this
Answer:
1. B
2. D
3. A
4. C
if I'm not wrong
help please asap :))
Answer:
j or h
Step-by-step explanation:
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary
Answer:
396π.cm^3
Step-by-step explanation:
ere's your solution
=> height of cylinder = 11 cm
=> radius of cylinder = 6 cm
=> volume = πr^2h
=> putting the value of radius and height in formula
=>volume = 6^2*11 π
=> volume = 36*11 π
=> Volume = 396π .cm^3
- 240 + 370
help plz
Answer:
the answer is 130
Step-by-step explanation:
Answer:
130
Step-by-step explanation:
when adding you positive number to a negative number you have to subtract. so to make it easier im going to change it from -240 +370 to
370-240 and solve
370-240=130
have a great day :D
The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base
Answer:
Height = 8 units
Step-by-step explanation:
Area of a triangle = [tex]36\frac{4}{5}[/tex] square units
= [tex]\frac{184}{5}[/tex] square units
Height of the triangle = [tex]9\frac{1}{5}[/tex] units
= [tex]\frac{46}{5}[/tex] units
Formula to calculate the area of a triangle is,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
[tex]\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})[/tex]
[tex]\frac{184}{5}= (\frac{46}{10})\times (\text{Height})[/tex]
Height = [tex]\frac{184}{5}\times \frac{10}{46}[/tex]
= [tex]\frac{368}{46}[/tex]
= 8 units
Therefore, height of the given triangle is 8 units.
Answer:
Its eight
Step-by-step explanation:
Since you need to do both steps just do them and then you can simplefiy
Find the missing value. Original price: $32 Discount: ? Sale Prince: $8
Answer:
75% off
Step-by-step explanation:
What would you multipy and to which equation to start solving by using the elimination method? Then would you add or subtract them?
7x + 4y = -4
5x + 8y = 28
Answer:
multiply the first equation by -2, then add them
Step-by-step explanation:
7x+4y=-4 *-2 7x+4y=-4 *-2 = -14x-8y=8
5x+8y=28
-14x-8y=8 x=-4, y=6
-9x=36
x=-4
7(-4)+4y=-4
-28+4y=-4
4y=24
y=6
35=25b as a fractional answer
Answer:
b= [tex]\frac{7}{5}[/tex] or b=1.4 or b=1 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Probably wrong I literally just searched it up.
Consider the point p=(1,4) and the line y=2x+8 Equation in slope intercept form that passes through P and is parallel to the line
Answer:
No, also you can try to use desmos to figure it out it is a very helpful tool
Step-by-step explanation:
the answer to the question above and it’s not 75
Answer:
The 2 triangles on the right and left are isosceles, so they have 2 equal sides. Consequently, the angles at the base are equal.
Because the opposite angles of a vertix are equal, the triangle in the lower part has the angles x, 58° and 47°.
Because the sum of the inner angles of a triangle is 180, x= 180- (58+47)
x= 180-105 = 75°
Pls mark as brainliest
Answer: x = 72
Step-by-step explanation:
The triangle with ∠a is an isosceles triangle; the other two angles are congruent, let them be y
a + y + y = 180 (sum of angles in triangles)
58 + 2y = 180
Subtract 58 from both sides
2y = 122
Divide both sides by 2
y = 61°
In the triangle with ∠b, b is congruent to another angle, (isosceles triangle) let it be b.
b = 47°
y and b have a relationship with the other two of the angles with ∠x (vertical angles); let them be y and b.
y + b + x = 180
61 + 47 + x = 180
108 + x = 180
Subtract both sides by 108
x = 72
how do i describe what each variable and parameter means in an exponential equation
y=a(b)x
Answer:
A general exponential equation is written as:
y = a*(b)^x
Where:
y represents the amount of something as a function of the variable x, where x is an independent variable.
a is the initial amount, this is, the value of y when x = 0.
b is the rate of growth, this defines how much changes the value of y as x increases.