How can you tell from the equations, without graphing, how many solutions the system has?
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.Step-by-step explanation:
Hope this helps !!there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answer:
13 in12
Step-by-step explanation:
HELP ME PLEASE
WHAT IS THE VALUE OF X ?
Answer:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
Step-by-step explanation:
2. Approximate e?. Round your answer to the nearest tenth
Answer:
1096.6
Step-by-step explanation:
The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.
Answer:
1096.6.
Step-by-step explanation:
e = about 2.7
2.7^7is about 1046
In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.
Answer:
E is (1, 2) and M is (-3,-2),
Step-by-step explanation:
G and O are diagonally opposite points.
E is the image of O in the x axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
The coordinates of E are (1, 2) and coordinates of M are (-3,-2),
What are Coordinates?The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.
Here, G and O are diagonally opposite points.
E is the image of O in the x-axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),
Learn more about Coordinates from:
https://brainly.com/question/15300200
#SPJ2
pls answer quickly But the answer
which of the following measurement is the smallest?
A) kilogram
B) Gram
C) centigram
D) milligram
Answer: Milligram is the smallest
Step-by-step explanation:
The ratio of the interior angle measures of a triangle is 1:4:5 what are the angle measures?
Answer:
18° , 72° , & 90°
Step-by-step explanation:
First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°
The equation will be:
1x + 4x + 5x = 180°
10x = 180°
divide both sides by 10 to get 1x on the left side:
[tex]\frac{10x}{10} =\frac{180}{10}[/tex]
x = 18
Then plug 18 in, instead of 'x', similar to in the first step:
1(18) = 18°
4(18) = 72°
5(18) = 90°
a) work out the size of angle x.
b) give reasons for your answer.
Answer:
x=30
Step-by-step explanation:
105 is also the same as angle b which is also the same as the angle opposite.
so
150+150=300
360-300=60
60/2=30
hope that helps.
plz mark as brainliest if correct
thank you
Answer:
x=75°
Step-by-step explanation:
the angle that is 105° and the angle that is x makes a co interior angle.
the two angles belonging to that co interior angle will always add up to 180°.
so in this case, 180° - 105° = x
answer = x=75°
I need help long dividing this equation.
(x^2 - x +5) / (x + 1)
I already know the answer however I’m having a bit of trouble understanding how to get to it. At the second to last operation you come to,
- x^2 + 4x
- x^2 - x
= 5x
I’m having trouble understanding how you get 5x from that? Someone please help!
First, we'll look at the first term of each expression.
---x times what is equal to x^3? = x times x^2 = x^3
So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.
x^2(x + 1) = x^3 + x^2
(x^3 + 4x + 5) - (x^3 + x^2)
x^3 - x^3 = 0
0 - x^2 = -x^2
4x - 0 = 4x
5 - 0 = 5
Our new expression is -x^2 + 4x + 5.
So we again ask ourselves, x times what is equal to -x^2? = -x
-x(x + 1) = -x^2 - x
And subtract!
(-x^2 + 4x + 5) - (-x^2 - x)
-x^2 - - x^2 = -x^2 + x^2 = 0
4x - - x = 4x + x = 5x
5 - 0 = 5
Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.
Multiply, then subtract!
5(x + 1) = 5x + 1
(5x + 1) - (5x + 1) = 0
Now that we have nothing left to divide, let's go back and get our answer.
x^2 - x + 5
Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.
Hope this helps and if you have any further questions, please let me know! :)
Answer:
Step-by-step explanation:
x - 2 <--- quotient
x + 1) x^2 - x + 5 First divide x^2 by x giving x then multiply x + 1 by x:
x^2 + x Now subtract x^2 + x from x^2 - x and bring down +5:
-2x + 5 Now divide -2x by x to get -2 and multiply X+1 by -2 -2x - 2 Subtract:
7
The result is x - 2 (see above) remainder 7
or you could write it as
x - 2 + 7/(x + 1)
What is the probability of getting a number less than 4 and then roiling a 4?
well there is -4 which is the oppsite of positive 4 if that what you ment
unit 5 relationships in triangles homework 1 triangle midsegments
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
What are Parallel lines?Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
SubstituteFH = ½(48)
FH = 24
b.) JL = 2(FG)
SubstituteJL = 2(37)
JL = 74
c.) KJ = 2(GH)
SubstituteKJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
SubstituteFJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
SubstituteAE = 2(13)
AE = 26
b.) AN = 2(CP)
SubstituteAN = 2(29)
AN = 58
c.) CT = ½(EN)
SubstituteCT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
SubstitutePerimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
Add like terms together10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
Add like terms together19x - 12x = 28 + 14
7x = 42
Divide both sides by 7x = 6
Learn more about midsegment theorem on:
https://brainly.com/question/11482568
Help please
complete the missing information to write a subtraction problem for each number line.
Answer:
-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)
Step-by-step explanation:
A:
1.4 - 2.2 = -0.8
B:
-0.75 - 1.5 = -2.25
C:
-0.2 - 1.8 = -2
Answer:
A. 1.4 - (-0.8) = 2.2
B. -0.75 - (-2.25) = 1.5
C. -0.2 - (1.6) = -1.8
Step-by-step explanation:
i just took the test on edge, and got it right (pls mark me as brainliest)
Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?
Answer:
3 months
Step-by-step explanation:
Jessie starts with $120 and get $40 a month
peter has $180 and get $20 a month
1 month passed Jessie now has $160 and Peter has $200
2 months passed Jessie now has $200 and Peter has $220
3 months passed Jessie now has $240 and Peter has $240
7+4(r+3)=9r-6
show work pls AND HELP ASAP
[tex] \: \: \: \: \: \: [/tex]
[tex] = \: \: \: \: r = 5[/tex]
Step-by-step explanation:
[tex]7 + 4(r + 3) = 9r - 6[/tex]
distribute 4 through the parentheses[tex]7 + 4r + 12 = 9r - 6[/tex]
add numbers[tex]19 + 4r = 9r - 6[/tex]
move the variable to the left hand side and change its sign[tex]19 + 9r = - 6[/tex]
move the constant to the right hand side and change its sign[tex]4r - 9 = - 6 - 19[/tex]
collect like terms[tex] - 5r = - 6 - 19[/tex]
calculate the difference[tex] - 5r = - 25[/tex]
divide both sides of the equation by -5[tex] = \: \: \: \: r = 5[/tex]
hope it helpsa. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?
Answer:
TICKET = $8.50POPCORN =$5.25Total money did they spent :- $8.50 + $5.25 = $13.75Step-by-step explanation:
Hope this helps you !!for example :
ticket = $5popcorn = $3each person spends = $(5+3)
=$8
four people = 8 × 4 = $32
hope it helps...!!!
What is the sum of -6 and 9?
Answer:
3
Step-by-step explanation:
-6+9=3
What is the answer to 27 · 64?
Answer:
1728
Step-by-step explanation:
27
64
-----------
108
1620
1728
Answer:
1728
Step-by-step explanation:
27•64= 0108+162 =1728
Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
Which point is located in Quadrant III ?
(−1/2, 1/4)
(1/2, −1/4)
(−1/2, −1/4)
I will give you brainliest if you are right
Answer:
here you go :)
Quadrant lll is always both negative so the answer is (-1/2, -1/4)
Step-by-step explanation:
Simplify the expression. Explain each step 7(4y)
Answer: 28 y
Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y
Answer plz answer !!!
Answer:
B
Step-by-step explanation:
1/4 yard long, area is 1/3 and we have to find the width so:
1/3(area) divided by 1/49(length) would get you your width
I’m a right or nah.
Helppp
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
11:18
Step-by-step explanation:
Hope this helped!
Part C
Does this curved line represent a function? If not, at what points does it fall the vertical line test?
Answer:
it is a function because it doesn't have multiple y values for each x value
If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?
Reminder = f ( 6 )
Thus :
[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]
[tex]f(6) = 1296 - 864 + 1[/tex]
[tex]f(6) = 433[/tex]
Thus ;
[tex]remider = 433[/tex]
please help only answer if you're sure it right
(B)
is my answer..........
Answer:
I think b is correct answer
Step-by-step explanation:
is correct answer
The Finish Line paid Converse $24 for a new pair of basketball shoes. If the store sells the shoes for $48, what is the percent mark-up (increase)?
Answer:
Answer:Total revenue at breakeven is $1,508,042 Explanation:Breakeven point in units = Fixed cost / Selling price -Variable cost per unit Breakeven, and now i think u get it u can do alone! Hope i help you❤️!
i suck at this stuff
pls help asap
ty <3
Answer:
12*2=24
Step-by-step explanation:
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?.
The shape of the cross-section resulting from the cut is Rhombus.
Given that,
All the edges of the object in the diagram are equal in length.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
We have to determine,
What is the shape of the cross-section resulting from the cut?
According to the question,
All the edges of the object in the diagram are equal in length.
The length of all edges is equal in the rhombus.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.
Moreover, the area of the rectangle formed in this case will be half of the rhombus.
Hence, The shape of the cross-section resulting from the cut is Rhombus.
For more details refer to the link given below.
https://brainly.com/question/18660021
Answer: C. A rhombus
Step-by-step explanation:
Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?
Im not in highschool im in 5th grade btw
PLEASE HELP!!
Answer:
3840
Step-by-step explanation:
320 boxes; 12 donuts in each box
This is a multiplication problem.
320 × 12 = 3840
Answer: 3840