Answer:
The pair of equations is consistent
Step-by-step explanation:
A consistent system of equations has at least one solution
The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutionsAn inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, and [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex] , then the system is consistent independent and has exactly one solution∵ x - 2y = 0
∴ The coefficient of x ⇒ a = 1
∴ The coefficient of y ⇒ b = -2
∴ The numerical term ⇒ c = 0
∵ 3x + 4y - 20 = 0
→ Add 20 to both sides
∴ 3x + 4y - 20 + 20 = 0 + 20
∴ 3x + 4y = 20
∵ The coefficient of x ⇒ d = 3
∵ The coefficient of y ⇒ e = 4
∵ The numerical term ⇒ f = 20
∵ a ≠ d
∵ b ≠ e
∵ c ≠ f
∵ [tex]\frac{a}{d}[/tex] = [tex]\frac{1}{3}[/tex]
∵ [tex]\frac{b}{e}[/tex] = [tex]\frac{-2}{4}[/tex] = [tex]\frac{-1}{2}[/tex]
∴ [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex]
→ By using rule 3 above
∴ The pair of equations is consistent
Write an equation in point-slope
form for the line that passes
through (1,4) with a slope of 3.
Help me please!
Answer:
Answer. We know that point slope form of a linear equation is y - y₁ = m(x - x₁). Given: m = 4, x₁ = -1, y₁ = -3.
Step-by-step explanation:
need help asap plzzz
Answer:
Side a is that side opposite to the hyp and b is the short side and c is the hyp
So a/b is 24/x
we need b
We find b=10
so 24/10 and we simply to 12/5
(10-3) Homework K pearson school
Answer:
is that a question I'm confused
4.5m is __% of 90cm
Help pls I need it
[tex]\text {Answer:}[/tex]
[tex]\huge\boxed{\sf 5}[/tex]
[tex]\text {Step-by-step~explanation:}[/tex]
[tex]\bold {4.5~ / ~90 \times 100}[/tex]
[tex]\bold {(4.5 \times 100) ~/~90}[/tex]
[tex]\bold {450~ /~ 90 }[/tex]
[tex]\bold {= 5 }[/tex]
Given the list of ordered pairs, identify the y-intercept.
(1, 3), (9,10), (0, -4), (8, 9), (4,0)
f(x) = 2x² + x at (-1, 1)
Answer:
[tex]f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1[/tex]
Find angle 4 lowkey lost
Answer: 38°
Step-by-step explanation:
∠1 and m∠62° are congruent as this is an isosceles triangle.
∠1 = 62°
∠2 + ∠1 + m∠62° = 180° because they form a triangle
∠2 + 62 + 62 = 180
∠2 + 124 = 180
Subtract both sides by 124
∠2 = 56°
∠2 and ∠3 are linear pairs so they're supplementary.
∠3 + ∠2 = 180°
∠3 + 56 = 180
Subtract both sides by 54
∠3 = 124°
∠4 + m∠18° + ∠3 = 180° because they form a triangle
∠4 + 18 + 124 = 180
∠4 + 142 = 180
Subtract both sides by 142
∠4 = 38°
Hope this helped!
round off 87.19236769 to nearest ten
Answer:
87.2
if the next no is 5 and above you add 1 if it's not you don't add
It finally snowing in Texas...
Answer:
hardy har har
Step-by-step explanation:
Answer:
lol yes it is
Step-by-step explanation:
btw thanks for the free points :)
please help !!!!!
Evaluate the following image to solve for surface area and volume:
surface area ?
volume?
Answer:
Volume: 1080
Surface Area: 684
Distance between (2,7) and (-1,3)
Answer:
along the x it moved 3 and along the y it went 4
HELP PLEASEEE
PLEASEEEEEEEEEEEEEEEEEEEEEEe
A food cooperative is a business that usually offers special prices on locally grown food and produce. Some are clubs and some are retail stores. A club costs a one time club fee of $20 and a cost of $15 per week. A retail store costs no club fee and a cost of $17.50 per week. After how many weeks will the cost of the club and the retail be the same?
Answer:
The indifference point is 8 weeks.
Step-by-step explanation:
First, we establish the total cost formula for each:
x= number of weeks
Club:
Total cost= 20 + 15*x
Retail:
Total cost= 17.5*x
Now, we equal both formulas and isolate x:
20 + 15x = 17.5x
20 = 2.5x
8=x
The indifference point is 8 weeks.
Prove:
Total cost= 20 + 15*8= $140
Total cost= 17.5*8= $140
The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus $14 per ticket to the planetarium. The second day they paid $100 for transportation plus $11 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given by ?
What are the coordinates of the point on the directed line segment from (-2, -5)(−2,−5) to (7, 10)(7,10) that partitions the segment into a ratio of 2 to 1?
Given:
The directed line segment from (-2, -5) to (7, 10).
A point partitions the segment into a ratio of 2 to 1.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divides a line segment in m:n, then the coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
The point divides the line segment from (-2, -5) to (7, 10) in 2:1.
Using section formula, we get
[tex]Point=\left(\dfrac{2(7)+1(-2)}{2+1},\dfrac{2(10)+1(-5)}{2+1}\right)[/tex]
[tex]Point=\left(\dfrac{14-2}{3},\dfrac{20-5}{3}\right)[/tex]
[tex]Point=\left(\dfrac{12}{3},\dfrac{15}{3}\right)[/tex]
[tex]Point=\left(4,5\right)[/tex]
Therefore, the coordinates of the partition point are (4,5).
Answer:
4.5
Step-by-step explanation:
Suppose there are n rectangular prisms stacked on top of each other in various ways to form one solid. Each has L=w and a height of h. Using cavaliers principle, what is the volume of the solid
Answer:
V = nl^2h or V = nw^2h
Step-by-step explanation:
The computation of the volume of the solid is given below:
Here the volume of the sold would be considered as the volume of 1 prism i.e. rectangular times n
Now as we know that
The volume of a rectangular prism is V is
lwh.
As L = w
Here cross section would become a square
So
V = l^2h
So,
The volume of the resulting solid would be
V = nl^2h or V = nw^2h
Percy buys tomatoes that costs $0.58 per pound. He pays $2.03 for the tomatoes. Part A: Percy estimates he bought 4 pounds of tomatoes. Is his. estimate reasonable? Explain. Part B: How many pounds of tomatoes did Percy buy? Show your work.
Answer:
Yes, because if you divide $2.03 by $.58 you will get 3.5. Once rounded 3.5 turns to 4
Step-by-step explanation:
An invariant point is a point that remains fixed under a transformation. For the transformations described below, determine whether there will sometimes, always, or never exist at least one invariant point. If so, describe the invariant point(s). If not, explain why invariant points are not possible.
Four quarters can be exchanged for a $1 bill
Answer:
yes
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
Suppose the cooking time for a particular
recipe varies inversely with the
temperature of the oven.
If the recipe takes 60 minutes to cook at a
temperature of 350 degrees, how many
minutes would it take at 200 degrees?
Answer:
The answer is 105
Step-by-step explanation:
(60)(350) = k
21000 = k
(m)(200) = 21000
m = 105
Please help me with this homework
Answer:
2 /3
Step-by-step explanation:
rise = 2
run = 3
slope = rise/run
Answer:
2/3
Step-by-step explanation:
rise over run
8. What is the SLOPE of this line? *
1/2
5x+3y = 45
Answer:
The slope of given line is -5/3
Step-by-step explanation:
Given equation of line is:
5x+3y = 45
In order to find the slope of the given line, we have to convert the equation in slope-intercept form first
So,
[tex]5x+3y = 45\\3y = -5x+45[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3} = \frac{-5}{3}x+\frac{45}{3}\\y = -\frac{5}{3}x+15[/tex]
The slope-intercept form is given by:
[tex]y = mx+b[/tex]
Here m(co-efficient of x) is the slope of line
Comparing both equations, we get
m = -5/3
Hence,
The slope of given line is -5/3
During the fall a pumpkin patch advertises 4 pumpkins for $11.00. Which equation below represents this situation, where x is the number of pumpkins and y is the total amount due.
A:y=4/11x
B:y=2.75x
C:y=0.36x
D:11y=4x
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBbbbBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
Find the measure of Angle B if...A & B are supplementary, and A=2x+4 B=3x+16.
a. 112
b. 32
c. 12
d. 52
Use the picture below of the isosceles triangle to solve for x & y.
a. x=47 y=43
b. x=90 y=43
c. x=90 y=86
d. x=86 y=43
Answer:
1) because A and B are supplementary
=> 2x + 4 + 3x + 16 = 180
<=> 5x = 160
<=> x = 32
with x = 32 => angle B = 3.32 + 16 = 96 + 16 = 112
2) see in the picture, because triangle ABC is the isosceles triangle => angle A = 180 - 2.47 = 180 - 94 = 86
we also have:
2y = 86
x = y + 47
=> y = 43
x = 43 + 47 = 90
10 Points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=9
Step-by-step explanation:
9 to the power of 6 is 531441
9 to the power of 3 is 729
531441 divided by 729 is 729
a third root of 729 is 9 because 9 times 9 times 9 is 729
so x is 9
please mark me as brainliest!!<3
Answer:
Step-by-step explanation:
I think it's X9?
Find the midpoint of the line segment with endpoints (-9,-1,) and (7,0)
Answer:
The midpoint is;
(-1,-0.5)
Step-by-step explanation:
To do this, we shall use the midpoint formula
That would be;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (-9,-1)
(x2,y2) = (7,0)
(x,y)
= (7-9)/2 , (0-1)/2
= -2/2 , -1/2
= (-1, -0.5)
Which is the value of x?
X=16
X=29
X=44
X=46
Answer:
x = 16
I hope this helps!
Answer:
x=16
Step-by-step explanation:
The angles of the inside of a triangle always add up to 180
2*16= 32
3*16=48
16+84=100
32+48+100=180
chile we do be small brain around here ✌
Answer:
chile I think it's A
Step-by-step explanation:
anyway, if it goes through the same point as the the first one, it becomes a solution and depending on the equation everything either to the left or right, above or below, becomes a solution as well. don't stress bruv, we all got small brain
Determine the slope of
the line that contains the
points (-3. 4) and (10. 60).
Answer:
The slope is 56/13
Step-by-step explanation:
7x + 4y = -3
-7x - 5y = 9
How do I solve using elimination
Answer:
X=3, y=-6
Step-by-step explanation:
7x+4y=-3 equation 1
-7x-5y=9 equation 2
-y=6. Add above two equations
Y=-6
solve for x by inputting y value into either equation.
7x+4(-6)=-3
7x-24=-3
7x=21
x=3
check answer by inputting x and y values into either equation
-7x-5y=9
-7(3)-5(-6)=9
–21+30=9
9=9