Answer:
[tex]m_1.m_2 = -1[/tex]
Step-by-step explanation:
Given
2 lines of same slope
A different perpendicular line
Required
Determine the relationship between the lines
We have that, line 1 and line 2 have the same slope;
Represent their slope with m₁
For the third line
Represent the slope with m₂
in coordinate geometry, the relationship between perpendicular line is
[tex]m_1.m_2 = -1[/tex]
Hence, the required relationship is [tex]m_1.m_2 = -1[/tex]
please help me, i will give 20 pts and choose brainlest too!
Answer:
ABC = 36 , DBC = 44
Step-by-step explanation:
(7x+2) + (7x -6) = 8=
14x -4 = 80
14x = 84
x = 6
The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?
Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
List at least three shapes, other than pentagons, in the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of times that the shape will map back on to itself as the shape rotates 360° about its center. Also, note how many degrees the shape has rotated each time it maps back onto itself.
Answer:
See below
Step-by-step explanation:
See attached table
Regular polygon with n sides can map onto itself n times
It will rotate 360°/n about its center every time and will map onto itself
Examples are in the attached table
Answer:
PLATO
Step-by-step explanation:
Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5x-4+3x=36[/tex]
Combine like terms:
[tex]8x-4=36[/tex]
Add 4 to both sides. The left side cancels:
[tex](8x-4)+4=(36)+4\\8x=40[/tex]
Divide both sides by 8:
[tex](8x)/8=(40)/8\\x=5[/tex]
Thus, the value of x is 5.
Answer:
The value of x=5
Step-by-step explanation:
1) 5x-4+3x=36
2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40
3) (Combine like terms, 5x and 3x) 8x=40
4) (Solve: divide each side by 8) x=40
5) answer: 5
I hope this helps let me know if I am wrong and good luck
What is the square of 9?
Answer:
3
Step-by-step explanation:
sqrt9 = 3
PLEASE HELP QUICK!!!! Which on are function and which ones are not? A. {(1, 2), (−3, 2), (4, −1), (2, 1), (2, 3)} B. {(−3, 1), (4, 2), (3, −1), (2, −4)} C. {(4, 2), (4, −1), (3, −2), (1, 4), (−2, 4)} D. {(3, −2), (−3, 2), (5, −2), (−1, −1)}
A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}
B. {(-3,1), (4,2), (3,-1), (2,-4)}
C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}
D. {(3,-2), (-3,2), (5,-2), (-1,-1)}
Function is something like domain mustn't have the same value in a single set. For example,
{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)
{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.
For the A, It's not function because of (2,1) and (2,3)
For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)
For the C, Not function because of (4,2) and (4,-1)
For the D, it's function.
A manufacturer of tennis balls has a daily cost of C(x) = 200 − 10x + 0.01x
2
, where C(x) is the
total cost in dollars and x is the number of tennis balls produced. The manufacturer has to
produce between 1500 and 3000 balls. What number of tennis balls will produce the minimum
cost?
Answer:
1000 tennis balls will produce the minimum cost
Step-by-step explanation:
Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]
Where C(x) is the total cost in dollars
x is the number of tennis balls produced
We are supposed to find number of tennis balls will produce the minimum
cost.
Lead coefficient = 0.01
The lead coefficient is positive, the parabola opens up.
Thus ,the minimum is at the vertex.
[tex]x=\frac{-b}{2a}[/tex]
So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]
Substitute the value of x in given equation:
C(x)=200-10(1000)+0.01(1000)^2
C(x)=200
Hence 1000 tennis balls will produce the minimum cost
find the slope of a line perpendicular to y= -6x+4
Answer:
-6Step-by-step explanation:
y= -6x+4 is in y=mx +b
[tex]y= -6x+4 \\Slope =m = -6[/tex]
Which number has a 2 with a value ten times less than the 2 in the number 725,983?
Answer:
"Which number has a 2 with a value ten times less than the 2 in the number 725,983?"
First, the value of the 2 in the number 725,983 can be find by separatig each digit as:
725,983 = 700,000 + 20,000 + 5,000 + 900 + 80 + 3.
Then the value of the 2 is: 20,000.
Now we want a number that has a 2 with a value then times less than 20,000.
this is:
20,000/10 = 2,000.
Then we want a number that has a 2 in the thousands place.
For example, 132,000 is a number that can be an answer, the only thing you need is that the 2 is in the thousands place (the fourth digit counting from the right)
A Blue Viper can travel 18 2/5 miles on 4/5
tank of gas. A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas. Which car can travel
further on one tank of gas?
Answer:
A Blue Viper
Step-by-step explanation:
A Blue Viper can travel 18 2/5 miles on 4/5 tank of gas.
It can travel on full tank:
(18 2/5)*1/5 + 18 2/5 = 92/5*1/5 + 92/5 = 92/5*6/5 = 552/25 = 22.08 milesA Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.
It can travel on full tank:
(17 2/5)*1/4 + 17 2/5 = 87/5*1/4 + 87/5 = 87/5*5/4 = 87/4 = 21.75 milesA Blue Viper can travel further as:
22.08 > 21.75Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? distance line plane point
Answer:
its D
Step-by-step explanation:
just took the quiz
The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.
We need to identify the undefined geometric term from the options.
There are three undefined terms in geometry :
1) point 2) line 3) plane
What is the point?A point has zero dimension and it is used to locate a figure on a coordinate plane.
The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and y= ordinate.
A line is the one-dimensional straight indefinite path on the plane that has no width.
A plane is a two-dimensional flat surface that extends up to infinity.
Therefore, option D is the correct answer.
To learn more about an undefined geometric term visit:
https://brainly.com/question/949373.
#SPJ6
Identify the property shown by the equation.
14 × 6 = 6 × 14
Find the transformations from y=x^2 for the following equation: f(x)=(x+4)^2 -9
2z-1= -9+ z i need the answer RIGHT NOW
Answer:
z = -8
Step-by-step explanation:
I'm guessing you want to find out what z is equal to, so here you go.
2z - 1 = -9 + z
2z = -8 + z
z = -8
Answer:
z = -8
Step-by-step explanation:
let's simplify the equation by getting the like terms together.
2z-1 = -9+z
first get the z's on the same side:
2z-z-1 = -9
z-1 = 9
then the constants:
z = -9+1
z = -8
-72 + 12 x 4 / (-6) solve it
Answer:
The answer is -80.
Step-by-step explanation:
First, you need to multiply 12x4.
-72+12x4/(-6)
-72+48/(-6)
Now, we divide 48/-6. (Using P.E.M.D.A.S)
-72+48/-6
-72+-8
Finally, we add the negatives.
This gives us... -80 as your answer.
-78 divided by (-1.3)
Answer:
60
Step-by-step explanation:
Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35
Answer:
B and D
Step-by-step explanation:
5% of 35 can be represented as 5% [tex]\cdot35[/tex].
To find equations that make this work, we need to find different ways to represent 5%.
5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.
So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]
This means that Choice B is correct.
Another way to represent 5% is as a decimal.
We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.
0.05
So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.
Hope this helped!
Answer:
The answer is option D and BStep-by-step explanation:
To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number
So we have
5 percent of 35 is written as
[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]
We have the answer as
1.75
From the options the one that has the same value as the above answer are
0.05 × 35 and 5/100 × 35
Hope this helps you
PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS
Q1
Answer:
[tex]x \leqslant \frac{5}{3} [/tex]
Step-by-step explanation:
[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]
explanation for second step:
you divide each side by 3 to get rid of the '3' in '3x'
cosθ=0.5 (to nearest degree)
Step-by-step explanation:
Hey, there!!
Given,
cos theta = 0.5
To convert it into angle, you have to take cos to right side making it (cos inverse).
Therefore, theta = cos inverse (0.5)
= 60°.
Hope it helps......
What is the simplest form of 4^square root of 13 times 4^square root of 13 times 4^square root of 13?
Answer:
[tex]832 \sqrt{13} [/tex]
Step-by-step explanation:
This question means
[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]
Lets solve it in simplest way
[tex](4 \sqrt{13} {)}^{3} [/tex]
[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]
[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]
[tex]64 \times 13 \times \sqrt{13} [/tex]
[tex]832 \sqrt{13} [/tex]
I hope u like it ❤️
cooment me for any question
can anyone help me out with this? If possible, please do all of them
Answer:
this is all I could find
Can someone please help me with 1-9 Sorry 25 points is all I have
Answer:
see below
Step-by-step explanation:
5.
VW = 4x - 20
UW = 6X - 35
UV = 19
find x to get UW
UV + VW = UW
19 + 4x - 20 = 6x - 35
x = 17
VW = 4(17) - 20
VW = 48
UW = 6(17) - 35
UW = 67
----------------------------------------------------
6.
HJ = 7x - 27
HI = 3x - 5
IJ = x - 1
find the value of x
HI + IJ = HJ
3x - 5 + x - 1 = 7x - 27
x = 7
----------------------------------------------------
7.
BC = 4x - 29
CD = 5x - 9
BD = 7x - 10
find each value
BC + CD = BD
4x - 29 + 5x - 9 = 7x - 10
x = 14
BC = 4(14) - 29
BC = 27
CD = 5(14) - 9
CD = 61
BD = 7(14) - 10
BD = 88
----------------------------------------------------
8.
BD = BC
BD = 5x - 26
BC = 2x + 1
AC = 43
find AB
BD = BC
5x - 26 = 2x + 1
x = 9
AB + BC = AC
AB + 2(9) + 1 = 43
AB = 24
----------------------------------------------------
9.
LK = MK
LK = 7x - 10
KN = x + 3
MN = 9x - 11
KJ = 28
find LJ
MK + KN = MN
7x - 10 + x + 3 = 9x - 11
x = 4
KJ + LK = LJ
28 + 7(4) - 10 = LJ
LJ = 46
In general, the value measured by the horizontal axis is called the ________
variable.
Answer:
independent
Step-by-step explanation:
We put the independent variable on the x axis ( or horizontal) and the dependent variable on the y axis ( or vertical)
Answer:
independent
Step-by-step explanation:
if x=2y+1 what is th e value of 10y-5x
[tex]x=2y+1[/tex]
what is [tex]10y-5x[/tex]?
all you gotta do is substitute the value of [tex]x[/tex] in the equation:
[tex]x=2y+1\\10y-5(2y+1)[/tex]
now solve for [tex]y[/tex]:
[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]
so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]
Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28
Answer:
12x -28
Step-by-step explanation:
4(5x - 6) - 4(2x + 1)
Distribute
20x -24 -8x -4
Combine like terms
12x -28
Simplify the expression (0.4)^3.
A. 0.64
B. 1.2
C. 12
D. 0.064
Answer:
Step-by-step explanation:
(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064
the answer is D
Select all the statements about the number -3 that are true.
It is an integer.
It is an irrational number.
It is a rational number.
It is a whole number.
It is a natural number.
Answer:
It is a rational integer.
Step-by-step explanation:
'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].
It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.
Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.
'-3' is a rational number and an integer.
Hope this helps.
Evalute this expression: -4y + 7y - 10 + 3
Answer:
3y-7
Step-by-step explanation:
-4y + 7y - 10 + 3
Combine like terms
-4y + 7y - 10 + 3
3y -7
Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years
Answer:
4 years
Step-by-step explanation:
As 4*8 is 32
So 144+32 is 176
And 5*4=20
108-20 is 88
88*2 is 176
у=x+5 3x+y=25 substitution
Answer:
(5,10)
Step-by-step explanation:
So we have the system of equations:
[tex]y=x+5\\3x+y=25[/tex]
To solve, we can use substitution.
Substitute the first equation into the second:
[tex]3x+y=25\\3x+(x+5)=25[/tex]
Combine like terms:
[tex]4x+5=25[/tex]
Subtract 5:
[tex]4x=20[/tex]
Divide by 4:
[tex]x=5[/tex]
Now, substitute this into the first equation:
[tex]y=x+5\\y=5+5[/tex]
Add:
[tex]y=10[/tex]
So, our answer is (5,10)
And we are done :)