Answer:
The correct option is:
y - x = -4
Step-by-step explanation:
The graphed equation is:
y = x - 4
The equation which will have infinite number of solution should overlap the graphed equation at infinity points.
It is only possible when both the equations are exactly same.
Consider the line given:
y - x = -4
Rearrange the equation:
y = x - 4
Thus, it is the same as the first equation.
Verify for point (0,-4)
y - x = -4
-4 - 0 = -4
-4 = -4
Proved.
Verify for point (4,0)
y - x = -4
0 - 4 = -4
0 = -4+4
0 = 0
Proved
The correct option is (1). [tex]y-x= -4[/tex]
Given equation,
[tex]y = x - 4[/tex]
the line, [tex]y = x - 4[/tex] passes through the points (0, -4) and (4, 0).
Comparing with the general equation of a straight line,
[tex]y = mx + c[/tex] , where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.
The slope of the equation [tex]y = x - 4[/tex] is 1 and its The y-intercept is -4.
We know that,
Two equations will have an infinite number of solutions when they are on the same line, that is having the same slope and intercept.
Now we check for the slope and the intercept of the given options.
Option (1) [tex]y - x = -4[/tex]
[tex]y = x - 4[/tex]
Here the slope is 1 and y intercept is -4, which is the same as the given equation and both equations will have an infinite number of solutions.
Now option (2).
[tex]y - x = -2[/tex]
[tex]y=x-2[/tex]
The slope is 1 and y intercept is -2
The slope is the same as the given equation but the intercept is different giving no solution.
Hence the correct option is (1). [tex]y-x= -4[/tex]
For more details follow the link:
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2) If Mike fell from (0.35) to (20, 0), determine the slope of his fall.
Answer:
-7/4.
Step-by-step explanation:
I'll take it to mean (0, 35)
The slope = (y2-y1)/(x2-x1)
= (0-35)/ (20-0)
= -35/20
= -7/4.
this one question so plz don't think it is two
It's point A. 4 vertical units away from point M.
Answer: Point A
Step-by-step explanation:
Point M has the same x value as point A and point A is 4 units below it.
Hope it helps <3
A cube has a side length of 10 inches. Jada says the surface area of the cube is
600 in?, and Noah says the surface area of the cube is 3,600 in?. Remember we
calculate surface area by finding the area of all the surfaces and adding them up.
Here is how each of them reasoned:
Jada's Method:
Noah's Method:
6. 102
6.102
6.100
602
600
3,600
Do you agree with either of them? Explain your reasoning.
Answer:
I agree with Jada
Step-by-step explanation:
So first you would find the area of one of the faces and it is 100 and then you would multiply the area of one face by 6 because there are 6 faces so you would get 600 inches so Jada would be right
Answer:
Jada is correct in this situation.
Step-by-step explanation: Noah's math is not correct. He goes from 6 times 10^2 to 60^2, which you cannot do. You first must do the exponents (10^2=100) and then multiply it by 6. Jada's method should be similar to that.
Complete the point-slope equation of the line through (1,3) (5,1) y-3=?
Answer:
[tex]\huge\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]
Step-by-step explanation:
Point-slope is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}[/tex]
Our goal:We have to complete the point-slope equation of the line through (1,3) (5,1).
--------------------------------------------------------
We have a incomplete equation of the line.
[tex]y-3=m(x-x_1)[/tex]
We need to find the slope of the line, and the value of [tex]x_1[/tex].
--------------------------------------------------------
Finding 'x1':It seems that the value of 3 was used to be [tex]y_1[/tex]. This means that the point [tex](1,3)[/tex] was used for the equation. This means that [tex]x_1[/tex] would have to be 1.
Finding Slope:Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (1,3) and (5,1).
[tex]m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}[/tex]
The slope is one-half.
--------------------------------------------------------
We now have enough information to complete the point-slope equation.
[tex]{\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]
Our final equation is:
[tex]y-3=-\frac{1}{2}(x-1)[/tex]
795.800.913.789
seven hundred ninety-five billions eight hundred sixty millions, nine hundred thirteen thousands, seven hundred
eighty-nine
seven hundred and ninety-five billion, eight hundred and sixty million, nine hundred and thirteen thousand, seven
hundred and eighty-nine
seven hundred ninety-five billion eight hundred sixty million nine hundred thirteen thousand, seven hundred eighty.
nine
seven hundred ninety-five billion eight hundred six million nine hundred thirteen thousand, seven hundred eighty-nine
Submit
Reset
Answer:
seven hundred ninety-five billion eight hundred million nine hundred thirteen thousand seven hundred eighty-nine
Hi. Please i need help with this question.
Please show workings.
Answer:
A =176 m^2
Step-by-step explanation:
The area of the floor is length times width
A = lw
A = 16* 11
A =176 m^2
Answer:
176 cm^2
Step-by-step explanation:
Given:
length=16m
width=11m
height=9m
We don't use the height in calculating since we are looking for the area of a rectangular carpet.
Required:
a=?
Formula:
a=l*w
whereas l is length and w is width
Solution:
a=l*w
a=16cm*11cm
a=176cm^2
A shortcut to find the answer:
16*11=1,1+6,6=176
Hope this helps ;) ❤❤❤
HELP ME PLZZZZZZ I NEED HELP
Answer:
Tossing two coins once.
Step-by-step explanation:
According to the diagram, there are just two outcomes: either H or T.
The spinner has three outcomes, and the cubes have 6 outcomes each, so we can eliminate the top two options.
If the person were just tossing one coin, the outcomes would be H or T, but there are more outcomes than that, so the diagram represents tossing two coins once.
Hope this helps!
which correctly describes how the graph of the inequality -4 -x >7 is shaded?
A. Above the dashed line
B. Above the solid line
C. Below the solid lime
D. Below the dashed line.
Answer:
b
Step-by-step explanation:
Write an equation and solve it to answer each question:
A pile of 55 coins, consisting of nickels and dimes, is worth $3.90. find the number of each.
You have to Answer like this:
If there are x nickels, then the equation is______
The number of nickels is_____
the number of dimes is______
Answer:
there are 25 nickels and 30 dimes
Why Taraaaaaaa >:C Can somebody please help me?
Answer:
4 hours
Step-by-step explanation:
3/5 of 8 hours
3/5 * 8 = 4.8 hours
Then she lost 1/6 of the 4.8 hours
4.8 * 1/6
.8
4.8 - .8 = 4
She got 4 hours of sleep
What is the distance from the origin to point A graphed on the complex plane below?
|5|
|13|
9
13
Answer:
√13
Step-by-step explanation:
(-3, -2) (0, 0)
distance √(9 + 4) = √13
The distance from the origin to the point A is [tex]\sqrt{13}[/tex] unit.
What is the formula to measure distance between two points ?
Let, the co-ordinates of two points in 2D plane are [tex](x_{1} ,y_{1} )[/tex] & [tex](x_{2}, y_{2} )[/tex]
Then the distance between this two points be d (say)
Therefore, [tex]d=\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2} -y_{1} )^{2} }[/tex]
What is the required distance ?The co-ordinate of point A in the graph is (-3, -2)
The co-ordinate of origin is (0, 0)
∴ The distance between (0, 0) & (-3, -2) is = [tex]\sqrt{((-3)-0) ^{2}+ ((-2) -0 )^{2} }[/tex]
= [tex]\sqrt{(-3)^{2}+(-2)^{2} }[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
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Write the following decimals as fractions.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
0.77 as a fraction is 77/100.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.2904 as a fraction is 2904⁄10000 unsimplified. (Simplified would be 363⁄1250)
Answer:
8a) 0.2904=363/1250
8b) 0.77=77/100
Step-by-step explanation:
Plz help me I do not understand this Plz show your work 4x-8=16
Answer:
x = 6
Step-by-step explanation:
First, add 8 to both sides.
4x - 8 = 16
4x - 8 + 8 = 16 + 8
4x = 24
Then, divide 4 from each side.
4x ÷ 4 = 24 ÷ 4
x = 6
Hope this helps.
Answer:
x = 6
Step-by-step explanation:
Well to solve for x in,
4x - 8 = 16
We use the commutative property which is the moving of numbers and variables to either side of the equation.
So 4x - 8 = 16
+8 to both sides
4x = 24
Divide 4 by both sides
x = 6
Thus,
x is 6.
Hope this helps :)
need to the answer ASAP
Answer:
321
Step-by-step explanation:
May someone please explain what a central tendency is I do not understand what it exactly means
The baseball diamond at a playground is a square with sides that measure 60 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth. A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical. 7,200 feet 60 feet 84.9 feet 120 feet
Answer:
84.853 ft
Step-by-step explanation:
A^2 + B^2 = C^2 | 60^2 + 60^2 = 84.853
Answer: 84.853 ft
Step-by-step explanation:
Given: f(x) = xand g(x) = x +1, find g[f(-2)].
1
5
-3
Answer:
-1
Step-by-step explanation:
f(x) = x
g(x) = x +1,
g[f(-2)].
First find f(-2) = -2
Then substitute into g(x)
g(-2) = -2+1
=-1
The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1 190 2 163 3 327 4 205 What is the mean number of minutes Garrett practiced his trombone each week? A. 197.5 B. 177 C. 245 D. 221.25
Answer:
[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
The reason is because we assume that each week have the same weight and replacing we got:
[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]
And the best option would be:
D. 221.25
Step-by-step explanation:
For this case we have the following data given
Week 1 2 3 4
Minutes 190 163 327 205
For this case we can find the mean with the following formula:
[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
The reason is because we assume that each week have the same weight and replacing we got:
[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]
And the best option would be:
D. 221.25
solve the inequality 7(v + 8) ≥ 7v + 1
Answer:
True all for v
Step-by-step explanation:
7(v+8)≥7v+17v+56≥7v+17v+56−7v≥7v+1−7v56≥156−56≥1−560≥−55All real numbers are solutions.
What is the middle term of the product of (x - 4)(x - 3)?
Answer:
- 7x
Step-by-step explanation:
Given
(x - 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) - 4(x - 3) ← distribute both parenthesis
= x² - 3x - 4x + 12 ← collect like terms
= x² - 7x + 12
with middle term = - 7x
Answer:
Step-by-step explanation:
= x(x-3) - 4(x-3)
= x²-3x - 4x + 12
= x² -7x +12
So -7x is the middle term
Write the other side of this equation so it's true for no values of x;
1/2(6x-10)-x =
Answer:
1/2(6x-10)-x = 2x +3
Step-by-step explanation:
1/2(6x-10)-x =
Distribute
3x -5 -x
2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5
2x-5 = 2x+3
Subtract 2x from each side
-5 =3
This is not true so there is no solution
Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence? first term has 6 second term has 9 third has 12 PLS HELP WILL MARK BRAINLIEST
Answer: 603 dots
Step-by-step explanation:
Triangle always has 3 sides. Given that
Each new triangle shown below has one more dot per side than the previous triangle. That means if first term has 6 dot, the second term will have 9 dots and third has 12 dots.
The difference between first and the second is the same with the difference between third and the second. That is,
First term a = 6
Difference d = 3
Number of term n = 200
This is arithmetic progression. We can come up with a formula:
Tn = a + ( n - 1 )d
Substitute all the parameters into the formula
Tn = 6 + ( 200 - 1 )×3
Tn = 6 + 199×3
Tn = 6 + 597
Tn = 603 dots
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.
Jackson is attending a lacrosse game that is halfway through the first quarter.
4) What fractional part of the game is left?
5) If 7 minutes of playing time have past, how many total minutes of playin
time are there in the game?
6) How many minutes of playing time are left in the game?
(I'll also need help on the shading for the fraction picture)
Answer:
4) 1/8
5) 56
6) 49
First shaded boxes = 4/7
Second shaded boxes = 1 out of 8 boxes are shaded = 1/8
Step-by-step explanation:
1/2x1/4=1/8
7X8=56
59-7=49
First shaded boxes = 4 out of 7 are shaded = 4/7
Second shaded boxes = 1 out of 8 boxes are shaded = 1/8
The fractional part of the game is left [tex]\frac{7}{8}[/tex] , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
According to the question
Jackson is attending a lacrosse game that is halfway through the first quarter
i.e, Game played = [tex]\frac{1}{2} *\frac{1}{4}[/tex]
Game played = [tex]\frac{1}{8}[/tex]
a) fractional part of the game is left
Game left = 1 - [tex]\frac{1}{8}[/tex] (treated complete game as 1 )
= [tex]\frac{7}{8}[/tex]
b) If 7 minutes of playing time have past,
i.e [tex]\frac{1}{8}[/tex] part of game is completed in 7 mins
therefore,
1 whole will complete in 7*8 = 56 mins
c) Minutes of playing time are left in the game
As,
total time to complete the game - game played time
= 56 - 7
= 49 mins
as in the fraction of shading question
a) [tex]\frac{4}{7 } is shaded[/tex]
b) [tex]\frac{1}{8}[/tex] is shaded
Hence , the fractional part of the game is left [tex]\frac{7}{8}[/tex] , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .
To know more about fraction here :
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Find the measure of d.
Answer:
50°
Step-by-step explanation:
Recall that an inscribed angle is half the arc length. Since Angle A measures 50°, this means that the arc length of BC (the intercepted arc) is 100°.
Arc BC is also representative of Angle D. In other words, the measure of angle D is half of 100°.
Angle D = 50°.
Answer:
d = 50°
Step-by-step explanation:
Inside a circle we can have inscribed angles (angles with the three points on the circle). These angles are half the length of the arc they inscribe.
The arc BC is inscribed by the angle of 50°, so we have:
[tex]50 = mBC/2[/tex]
[tex]mBC = 100\°[/tex]
The angle d inscribes the arc BC, so we have:
[tex]d = mBC/2[/tex]
[tex]d = 100/2[/tex]
[tex]d = 50\°[/tex]
30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38
Answer:
3 + 6 = 1/2(#grapes)
3 + 6 = 9
9 = 1/2(#grapes)
2(9) = 1(#grapes)
18 = # of grapes
Step-by-step explanation:
ASAP PPL!!!! How many 11-player soccer teams can be formed from 16 total players?
Answer:
1 team............
Step-by-step explanation:
There is only 16 people and there has to be teams of 11 people. The remainder of 16/11 is 1 so.......only one soccer team can be formed.
Hope that helps and maybe earns a brainliest! :)
can somewon help me i eally need help
Answer: The answer should be 1/2
Step-by-step explanation:
Answer:
i say 1/6 but pleaseeee dont go off my answer im not 100%
Step-by-step explanation:
30 points high school geometry question
Answer:
x = 5
Step-by-step explanation:
9/15 = 3/x
x = 5
X would equal 5
I did this test in high school. smh
Jacqueline. Harry, and Stanley bought a pizza pie to share for dinner. Harry ate
of the pie, and then Jacqueline ate of what was left. After Jacqueline
finished, Stanley ate of what was left of the pic. What fractional part of the
pizza pie was left after Stanley finished eating?
Answer:
1/6
Step-by-step explanation:
Harry 1x1/2=1/2
Jacqueline 1/2x1/2=1/4
Stanley 1/3x1/4=1/12
1-1/2-1/4-1/12=
12/12-6/12-3/12-1/12=
2/12 or 1/6
PLEASE HELP The coefficients of the first four terms in the expansion of (a + b) ^5 are a) 1, 3, 5, 7 b) 1, 4, 6, 4 c) 1, 2, 3, 4, 5 d) 1, 5, 10, 10
Answer:
D is the correct answer
Step-by-step explanation:
Fifth row of Pascal pyramid is 1 , 5, 10, 10, 5 , 1
The expansion should always have n + 1 number of terms
Where n is the power
Answer:
answer is D
Step-by-step explanation: