Answer:
8 1/10
Step-by-step explanation:
mark brainliest if correct
Which is an equation of the line through (0,0) and (-3,-7)?
O A. y=-7x
O B. y= 2
O C. y = 2
O D. y=-3x
Answer:
y=7/3x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-0)/(-3-0)
m=-7/-3
m=7/3
y-y1=m(x-x1)
y-0=7/3(x-0)
y=7/3(x)
y=7/3x
Equation of the line through (0,0) and (-3,-7) is y=7/3x
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the equation of the line through (0,0) and (-3,-7)
m=-7/-3=7/3
Now let us find the y intercept
-7=7/3(-3)+b
b=0
So the equation is y=7/3x
Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x
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What is the volume of a cube that has a height of 10 inches? 10 inches
A:600 cubic inches
B:100 cubic inches
C:40 cubic inches
D:1,000 cubis inches
Answer:
i think its B.
Thats only i know
Solution A is 40% acid and solution B is 80% acid. How many
liters of each should be used in order to make 100 L of a solution
that is 64% acid?
Step-by-step explanation:
Solution A is 40% acid and solution B is 80% acid. How many
liters of each should be used in order to make 100 L of a solution
is 64% acid
There should be 40 L of solution A and 60 L of solution B should be added in order to make 100 L of a solution that is 64% acidic.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, solution A is 40% acidic and solution B is 80% acidic, they are mixed to get a 100 L solution which is 64% acidic.
Establishing the equations,
A+B = 100
A = 100-B.......(i)
40% of A + 80% of B = 64% of 100
0.4A + 0.8B = 64......(ii)
Solving the equations,
0.4(100-B) + 0.8B = 64
40 - 0.4B + 0.8B = 64
0.4B = 24
B = 24/0.4
B = 60
Putting, B = 60 in Eq(i)
A = 100-60
A = 40
Hence, The amount of solutions needed is A = 40 L and B = 60 L.
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Factor Completely. 2a(x+y)+b(x+y)
Let's simplify step-by-step.
2a(x+y)+b(x+y)
Distribute:
=(2a)(x)+(2a)(y)+(b)(x)+(b)(y)
=2ax+2ay+bx+by
Answer:=2ax+2ay+bx+byThe simplification of the expression is 2ax+2ay+bx+by.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
An algebraic equation is a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables.
Given expression is 2a(x+y)+b(x+y). The expression will be solved as below,
E = 2a(x+y)+b(x+y)
Multiply the values in the whole bracket and simplify,
E = (2a)(x)+(2a)(y)+(b)(x)+(b)(y)
E = 2ax+2ay+bx+by
The simplified expression is given as 2ax+2ay+bx+by.
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Determine the slope from the given graph below:
A ➼ The slope is -7
B ➼ The slope is−16
C ➼ The slope is 6
D ➼ The slope is -6
(Please help me! I'll mark brainliest and give five stars.<3)
Step-by-step explanation:
again (I just answered the same question), the slope is the ratio "y coordinate change / x coordinate change".
I see e.g the points
(-1, -1) and (0, -7) on the line.
x changes by +1 (from -1 to 0).
y changes by -6 (from -1 to -7).
so, the slope is -6/1 = -6.
so, D is the right answer.
I need help with this!!!!
Answer:
246b
Step-by-step explanation: i did this
What is the value of x?
O
O x = 32
O x = 36
x = 37
(x + 15)
xº
(4x - 20)
O x = 40
Answer:
x + (4x-20) = 180
by linear pair
therefore x= 70
Applying the definition of linear pair, the value of x is: D. 40.
What is a Linear PairA linear pair is a set of angles on a straight line.Straight line angle = 180 degrees.Linear pair of angles add up to 180 degrees.Therefore:
x + (4x - 20°) = 180°
Solve for x5x - 20 = 180
5x = 180 + 20
5x = 200
Divide both sides by 5x = 40
Therefore, applying the definition of linear pair, the value of x is: D. 40.
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A permanent magnet d.c. motor has an armature resistance of 0.5 Ω and when a voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
Answer:
applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power
Find the equation of the line.
Answer:
y = 2x + -3
Step-by-step explanation:
Use the equation y=mx+b
m is the slope (2 in this case)
b is the y intercept (-3 in this case)
The equation of the line would be y = 2x + -3
3plss help, it times;;;;;;;;;;;;;;;;;;;;;;;;;
Answer:
w=4
Step-by-step explanation:
72/48=6/w
3/2=6/w
12=3w
w=4
Determine the slope from the given graph below:
A ⇹ The slope is -7
B ⇹ The slope is−16
C ⇹ The slope is 6
D ⇹ The slope is -6
Step-by-step explanation:
the slope is the ratio of "y coordinate difference / x coordinate difference".
so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.
(-1, -1) and (0, -7)
x changes by +1 (from -1 to 0).
y changes by -6 (from -1 to -7).
so, the slope is -6/1 = -6.
D is the right answer.
What is the distance, rounded to the nearest tenth, between the points (2, 1) and (6, 6)? Enter the answer in the box.
units
Answer:
6.4 should be the correct answer
Step-by-step explanation:
if im wrong and you wanted it in a different format im sorry
Help help math math math
Answer:
y = 3x + 4
x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.
(i think this is right im not sure tho)
Answer:
3x+1
Step-by-step explanation:
3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y
Factor x4 - y4 completely.
A) (x^2 + y^2)(x + y)(x - y)
B) (x^2 - y^2)(x + y)(x - y)
C) (x^2 + y^2)(x - y)(x - y)
D) (x^2 + y^2)(x + y)(x + y)
Option A
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How much momentum does a 50 kg mass moving west at 10 m/s have?
Answer:
(a) 500 kg·m/s west
Step-by-step explanation:
Momentum is the product of mass and velocity.
p = mv
p = (50 kg)(10 m/2 west)
p = 500 kg·m/s west
(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6
Answer:
{x,y,z} = {-22/13,29/13,6/13}
Write the system as the following augmented matrix:
[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Swap rows 1 and 2 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]
Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :
[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Then the solution to the system is (x, y, z) such that
9x = 13 and 9y = 16 and 9z = -14
or
x = 13/9 and y = 16/9 and z = -14/9
Find the volume of the prism. Round to the nearest tenth.
Answer:
A: 437.1 cm³
Step-by-step explanation:
You find the area of the prism by the base of the prism & height multiplied together.
Here, the base of the prism is a triangle.
All the triangles sides are given, so lets lave them: A:8, B:8, and C:10.
Using SSS, we can find the area, which is ≈ 31.1.
If we multiply that number by 14.
We get he area of the prism.
Depending on how your rounded, the area of the prism is:
≈437.2, which is close enough to know that the asswer is A: 737.1 cm³
Hope this helped <3
The ratio 5/8 to 10/9 has a unit rate of 9/16
True or false
Answer:
This is false.
Step-by-step explanation:
The easiest thing to do is notice that 8 goes into 16 whilst 9 doesn't so that shows 9/16 would not be the unit rate.
The ratio 5/8 to 10/9 has a unit rate of 9/16 is false.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given are two ratios 5/8 and 10/9.
The unit rate of (5/8) is (5/8)/(8/8) = 5/8 = 0.625 similary the unit rate of the ratio 10/9 is 1.11.
Now, the unit rate of 9/16 is 0.5625 which is not in the range of two ratio's unit rates.
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Rewrite in simplest terms: (-8x– 6y) + (6x – 3y)
Answer:
-5x - 6y
Step-by-step explanation:
Firstly, you remove any uncessary parentheses and collect like terms.
So that becomes -8x - 6y + (3x)
Hence, the brackets can be removed, which means we can continue to collect like terms which gives the final answer of -5x - 6y
Should I write the answer as decimal or a whole number
Find the domain and the range of the given relation {(-1,-5),(-3,0),(9,1),(1,9)}
Answer:
1,3,4,6,8} { 1 , 3 , 4 , 6 , 8 }. Range:{2,4,5,7,9}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .
Determine the slope from the given graph below:
A • The slope is 5
B • The slope is -1/5
C • The slope is 7
D • The slope is -7
(I’ll give brainliest <3)
Slope is the change in Y over the change in x.
Use 2 points on the graph(x,y) to use to solev6.
(2,3) and (0,-7)
Slope = (-7 -3) / (0-2)
Slope = -10/-2
Slope = 5
Answer: A the slope is 5
rotate point B about point F 288 degrees clockwise
When a shape is rotated, it must be rotated through a point
The new position of point B is point A
The angle of rotation is given as:
[tex]Angle = 288^o[/tex]
The shape is a regular pentagon (with 5 sides).
The smallest angle of rotation that maps the pentagon onto itself is calculated using:
[tex]\theta = \frac{360}n[/tex]
So, we have:
[tex]\theta = \frac{360}5[/tex]
[tex]\theta = 72[/tex]
Let the number of rotations be n.
So, we have:
[tex]\theta \times n= Angle[/tex]
This gives
[tex]72 \times n= 288[/tex]
Divide both sides by 72
[tex]n= 4[/tex]
This means that the new position of B is 4 points away from B.
Point A is 4 points away from B, in clockwise direction
Hence, the new position of point B is point A
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16,40 and 56 LCM
Solve please
Answer:
pic?
Step-by-step explanation:
send me the picture please
Need help asap please !!!
Slope = change in y / change in x
Slope = (2-1)/(3 - -1)
Slope = 1/4
HURRY!
Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)} write the set of ordered pairs representing ƒ -1.
Select one:
a. {(1, 2), (3, 2), (4, 3)}
b. {(2,1), (3, 2), (4, 3)}
c. {(2, 1), (2, 3), (3, 4)}
The set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1, which is the correct answer that would be an option (C).
What is an ordered pair?An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.
Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)}
According to option (A),
The set of ordered pairs is {(1, 2), (3, 2), (4, 3)}
This represents ƒ -3,
According to option (B),
The set of ordered pairs is {(2,1), (3, 2), (4, 3)}
This represents ƒ -2,
According to option (C),
The set of ordered pairs is {(2, 1), (2, 3), (3, 4)}
This represents ƒ -1,
Thus, the set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1.
Hence, the correct answer would be option (C).
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A local flower shop sells a dozen roses for $15.48 if each rose cost the same price how much would It cost per rose
Patrick gets an allowance of $30 per week. If he babysits his brother, his parents give him an additional $5 per hour for every hour he babysits. Which equation can Patrick use to find y, the amount of money he will have after a week in which x hours of babysitting is done?
y = 30 + 5x
y = 35x
y = 30x + 5
y = 30x
Find the equation of the line l that is perpendicular to -3x + 6y = 11 and I passes
through the point (-2, 3)
Answer:
Step-by-step explanation:
-3x + 6y = 11
Put into slope-intercept form to find the slope
6y = 3x + 11
y = 3x/6 + 11/6
y = ½x + 11/6
so slope is ½
perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2
the slope point form of the perpendicular line will be
(y - 3) = -2(x -(-2))
(y - 3) = -2(x +2)
the slope intercept form will be
y = -2x - 4 + 3
y = -2x - 1
In an A.P. if Tₚ = q and Tq = p, then find the rth term.
Please solve this problem
Formula:
We know that
nth term of the AP is Tn = a+(n-1)d
Where, a = First term
d = Common difference
n = number of terms
Now,
Given that
pth term of the A.P. = Tp = q
⇛a + (p-1)d = q
⇛(p-1)d = q - a
⇛d = (q-a)/(p-1) →→→→(i)
and
qth term of the A.P. = Tq = p
⇛a + (q-1) d = p
⇛ (q-1)d = p-a
⇛ d = (p-a)/(q-1) →→→→(ii)
From Eqn(i) and Eqn(ii)
⇛(q-a)/(p-1) = (p-a)/(q-1)
On applying cross multiplication then
⇛(q-a)×(q-1) = (p-a)×(p-1)
⇛q²-q-aq+a = p²-p-ap+a
⇛q²-q-aq = p²-p-ap
⇛ap-aq = p²-p+q-q²
⇛a(p-q) = (p²-q²)-(p-q)
⇛a(p-q) = (p+q)(p-q)-(p-q)
⇛ a(p-q) = (p-q){(p+q)-1}
On cancelling (p-q) both sides then
⇛a = (p+q-1) →→→→Eqn(iii)
On Substituting the value of a in Eqn(ii) then
⇛ d = [p-(p+q-1)]/(q-1)
⇛d = (p-p-q+1)/(q-1)
⇛d = (-q+1)/(q-1)
⇛d = -(q-1)/(q-1)
⇛d = -1
We have,
a = p+q-1 and d = -1
Now, rth term of the AP
⇛ Tr = a + (r-1)d
⇛Tr = (p+q-1)+(r-1)(-1)
⇛ Tr = p+q-1+(-r+1)
⇛ Tr = p+q-1-r+1
⇛ Tr = p+q-r
Therefore, Tr = p+q-r
Answer: rth term of the given A.P. is p+q-r
Answer:
rth=q+p+qxp
Step-by-step explanation:
rth= 3 of the T and Tq added together and joined.