Which of the following points lies on the line defined by y = -3x – 7?
A. (2, -1)
B.(-2, 1)
C. (-2,-1)
D. (1,8)
E. (2, 1)
Answers
=========================================================
Explanation:
If we tried the x coordinate of choice A, then,
y = -3x-7
y = -3*2-7
y = -6-7
y = -13
This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.
Let's try x = -2
y = -3x-7
y = -3*(-2)-7
y = 6-7
y = -1
This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.
If we tried x = 1, then,
y = -3x-7
y = -3*1-7
y = -3-7
y = -10
Which shows that (1,-10) is a point on this line, which rules out choice D.
The visual summary is shown below as a graph. Only point C is on the red line.
Related Questions
) P is a set of prime numbers --- State it’s type.
A) Null set B) singleton set C) infinite set
E) A,B,C are correct.
Answers
Answer:
null set
Step-by-step explanation:
i am not sure but i hope it will help you
Answer:
singleton set is correct
Triangle ABC with coordinates A (3,-2), B (5,5), and C (-4, 2) is reflected across
the x-axis. State the coordinates of the resulting triangle, A'B'C.
Answers
Step-by-step explanation:
the formula of coordinates (x, y) that reflected across the x-axis : (x, y) => (x, -y)
so,
A(3, -2) => A'(3, 2)
B(5, 5) => B'(5, -5)
C(-4, 2) => C'(-4, -2)
Coordinates of ∆ABC
A(3,-2)B(5,5)C(-4,2)Now co-ordibates of ∆A'B'C'
[tex]\\ \rm\longmapsto A'=(3,2)[/tex]
[tex]\\ \rm\longmapsto B'=(5,-5)[/tex]
[tex]\\ \rm\longmapsto C'=(-4,-2)[/tex]
What do you call the set of numbers that
includes the whole numbers, their opposites and
zero?
Imaginary Numbers
Negatives
Integers
Positives
Answers
Answer:
integers
Step-by-step explanation:
so negative and positive are numbers in questions so no.
and def not Imaginary numbers
Problem 11
Six friends who enjoy tennis decide to play a game of singles and a game
of doubles every day of the 7-week school holidays.
(a) Show that at least four of the games of singles will be between friends
playing each other for the fourth time.
(b) Show that at least four of the games of doubles will be between pairs
playing the same opposing pair for the second time.
Answers
Number combination can be used to find the number of selecting n items from m items
The known parameters are;
Number of days the six friends play a game of tennis = Every day = 7 days
Number of weeks the six friends the friends play for = 7 weeks
Therefore the total number of days = 7 × 7 days = 49 days
Required:
(a) The number of ways the friends can play with each other once is given as follows;
[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]
The number of ways the six friends can play with each other once is 15 ways
Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;
[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]
Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time
(b) The number of ways the friends can play game of doubles is given as follows;
[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
The number of pairs = ₆C₂ = 15
The number of games of doubles = 49
In 49 games, we have;
The number of times the same opposing will play a game of doubles where a member of the pair can be on either side of the court will given as follows;
[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]
Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time
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*Plz it due today HELP!!!!!!Justin has been collecting baseball cards for years. He bought 137 cards the first year
and 143 cards the second year. He plans on putting them in a binder that will hold seven
cards per page. How many pages must the binder have to hold Justin's collection? *Plz tell me what the math action word is I need to box it*
Answers
Answer:
40
Step-by-step explanation:
137+143=280
280/7= 40
Answer:
Division/dividing/divide
Step-by-step explanation:
If Justin has 280 baseball cards, and if each page will only hold 7 cards per page, then by dividing 280 by 7 (280÷7) would equal to 40 pages.
Suppose the function H(t) gives the heart rate of a runner at various points in time during a 20 mile run. Describe an appropriate domain of this function. Include a description of the kinds of numbers in the domain as well as any limitations on their values.
Answers
.....................
Determine the type and number of solutions of 4x - 4x + 1 = 0.
two real solutions
one real solution
two imaginary solutions
Answers
Answer:
1 real solution
Step-by-step explanation:
Use discramint formula.
[tex]b {}^{2} - 4ac[/tex]
If the discramint >0, the equation is going to have 2 real solutions
If the discramint =0, we going to have one real solution.
If the discramint<0, we going to have two imaginary solution
B is -4, A is 4 and C is 1 so
[tex] { - 4}^{2} - 4( 4)(1) = 0[/tex]
So the equation had one real solution.
What is the area of the figure?
A. 22 m2
B. 30 m2
O C. 33 m²
O D. 42 m2
E. 50 m2
Answers
Answer:
B. 30m2
Hope it helps you..Please help me
Find this value
Answers
Answer:
<CAB =30°
Step-by-step explanation:
<DAB=80°
<DAC=50°
<DAB=<DAC+<CAB
<CAB=<DAB-<DAC
=80°-50°
=30°
Find the orthogonal decomposition of vector b = 9, 0, 0 with respect to vector a = 4, −5, 0 . (Your instructors prefer angle bracket notation < > for vectors.)
Answers
The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex] is
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
From the Question we are told that
Vector [tex]\vec b = <9, 0, 0>[/tex]
Vector [tex]\vec a = <4, -5, 0>[/tex]
Generally in the orthogonal decomposition of b to a we have
[tex]\vec b=\vec b"+\vec b'[/tex]
Where
[tex]\vec b"=(\frac{\vec b*\vec a}{\vec *\vec a})*\vec a[/tex]
[tex]\vec b"=(\frac{ <9, 0, 0>*<4, -5, 0>}{<4, -5, 0>*<4, -5, 0>})*<4, -5, 0>[/tex]
[tex]\vec b"=<\frac{4}{5},\frac{-8}{5},0>[/tex]
Therefore
[tex]b'= \vec b- \vec b"\\\\b'=<4,0,0>-<\frac{4}{5},\frac{-8}{5},0>[/tex]
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
in Conclusion
The orthogonal decomposition of vector [tex]\vec b = <9, 0, 0>[/tex] with respect to vector [tex]\vec a = <4, -5, 0>[/tex] is
[tex]b'=<\frac{16}{5},\frac{8}{5},0>[/tex]
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How do you translate "Twelve decreased by a quarter of a number, x. in a variable expression
Answers
Answer:
12 - (1/4)x
Step-by-step explanation:
quarter of x is (1/4)x
Now, minus that from twelve.
Which of the following represents the relationship
between h and C ?
A) C = 5h
3
B) C = - +5
4
C= +5
C) C = 3h + 5
D) h = 3C
Answers
Answer:
I think its c I hope I'm right
What is the period of the function y=tan (n/4(x-n/3)? 3 units 4 units 6 units 8 units
Answers
Answer:
8
Step-by-step explanation:
The function u given me is
[tex] \tan( \frac{\pi}{4} (x - \frac{\pi}{3} ) )[/tex]
The period of a function is represented by
[tex] \frac{2\pi}{ |b| } [/tex]
where b is the coefficient of the x variable.
The coefficient is pi/4 so
[tex] \frac{2\pi}{ \frac{\pi}{4} } = 8[/tex]
8 is the answer.
Answer: 4 units
Step-by-step explanation:
s= zh - 2zt^3 solve for z
Answers
Hi ;-)
[tex]s=zh-2zt^3\\\\z(h-2t^3)=s \ \ /:(h-2t^3)\\\\z=\dfrac{s}{h-2t^3}[/tex]
Answer:
z = [tex]\frac{s}{h-2t^3}[/tex]
Step-by-step explanation:
Given
s = zh - 2zt³ ← factor out z from each term
s = z(h - 2t³ ) ← divide both sides by h - 2t³
[tex]\frac{s}{h-2t^3}[/tex] = z
multiply : (5x+3a) (5x-3a)
Answers
(5x＋3a)(5x－3a)
＝(5x)²－(3a)²
＝25x²－9a²
Hope my answer helped u :)
y - 4 = 3. what is y = ???
Answers
Hi ;-)
[tex]y-4=3\\\\y=3+4\\\\\boxed{y=7}[/tex]
Answer: 7
.....7-4=3
suppose the two vertical angles are measuring 6x + 15 and 4x + 32. what is the measure of each angle?
Answers
Answer:
measure of both angle is 66
Step-by-step explanation:
vertical angles are equal so,
6x+15=4x+32
6x-4x=32-15
2x= 17
X=8.5
now,
4X+32
= 4×8.5 +32
= 66
Find the value of x.
A. 5.58
B. 9.14
C. 15.2
D. 10
PLEASE HELP!!! :(
Answers
Answer:
D. 10
Step-by-step explanation:
[tex]{ \sf{(12x + 12) \degree = 79\degree + (5x + 3)\degree}} \\ { \sf{ \{outer \: angle \: is \: equal \: to \: sum \: of \: inner \: angles \}}} \\ { \sf{12x - 5x = 79 + 3 - 12}} \\ { \sf{7x = 70}} \\ { \sf{x = 10}}[/tex]
Use a real number to represent the situation.
The temperature falls 14°F.
Answers
Answer:
-14°F
Step-by-step explanation:
Hey there!
The gradient of the line joining (4, q) to (6, 5) is twice the gradient
of the line joining (0, 0) to (4, q). Find q.
Answers
Answer:
q is 4
Step-by-step explanation:
[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]
let gradient of the line joining (4, q) to (6, 5) be x
let gradient of the line joining (0, 0) to (4, q) be y
[tex]y = 2x[/tex]
therefore:
[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]
collect like terms:
[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]
Let,
The gradient of line joining (4, q) to (6, 5) be "x".The gradient of line joining (0, 0) to (4, q) be "y".As we know,
[tex]Gradient = \frac{y_2-y_1}{x_2-x_1}[/tex][tex]y = 2x[/tex]then,
→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]
[tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]
[tex]\frac{q}{4} = 5-q[/tex]
By applying cross-multiplication, we get
[tex]q = 4(5-q)[/tex]
[tex]q = 20-4q[/tex]
By adding "4q" both sides, we get
[tex]q+4q= 20-4q+4q[/tex]
[tex]5q = 20[/tex]
[tex]q = \frac{20}{5}[/tex]
[tex]q = 4[/tex]
Thus the above value is correct.
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if n=4 and m=3 find 2n-3m
Answers
Answer:
hope it helps you........
Answer:
2n-3m
=2(4)-3(3)
=8 - 9
= -1
0.6m=____mm . answer the question
Answers
Answer:
600
Step-by-step explanation:
since 1m=1000mm
If you need an explanation how ill explain in the comments
Guys help me in this question pls
Answers
Answer:
40+x+5 = 3x +15
2x= 30
x=15
Their present ages are 15 and 55
Solve each equation V/8=13
Answers
Answer:
v = 114Step-by-step explanation:
[tex] \frac{v}{8} = 13[/tex]
=> v = 13 × 8
=> v = 114 (Ans)
In x² , what is the 2 called?
a radical
a subscript
an exponent
an imaginary number
none of these
Answers
Answer:
an exponentStep-by-step explanation:
In x², here the 2 is exponent while x is base.
Answer:
an exponent
Step-by-step explanation:
hope it helps:)
Express each mixed number as a percent 2 1/2 can someone please tell me the awnser
Answers
Answer:
im pretty sure its 250%
Step-by-step explanation:
Answer:
250%
Step-by-step explanation:
1 is 100% and double that is 200%
1/5 of 100% is 50%
200% + 50% = 250%
can someone please give me an example of a position and motion of objects in space
Answers
Answer:
position of objects in space
for example: up, down, in front, behind, between, left, right.
motion of objects in space
for example: Stars, planets, moons.
ANSWER THIS ASAP PLEASE
Answers
Answer: 12 and -12
Step-by-step explanation:
Absolute value is the distance to zero (0)
Equation 1:
|(12) - 2| = 10
= 12-2
=10
Equation 2:
|(-12) - 2| = 10
= 12 - 2
= 10
Help me pls i have to finish my homework i have more questions to post too
Answers
Answer:
17) 19
19) 8
Step-by-step explanation:
17)
(6 +6² -4)÷2
(6 +36 -4)÷2
(38)÷2
19
19)
3³ ÷3 - 1
27 ÷3 -1
9 -1
8
Help me plz snsnsns sn
Answers
Answer:
If the exponent is 0 the answer is 224/y^2
Step-by-step explanation: