Answer:
2
Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
answer
Three points not lying on the same line define one and only one plane that they all belong to
Use the graph that shows the solution to
f(x) = g(x).
f(x) = 1+2x/x=
g(x) = 2+x
What is the solution to f(x) = g(x)?
Select each correct answer.
Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.
Answer: a , b
Step-by-step explanation:
A small auditorium has 20 seats in the first row and each successive row contains 2
additional seats. If there are 12 rows in the auditorium, how many seats are in this
auditorium?
O 384
O 372
O 330
O 264
Answer:
330.
Step-by-step explanation:
Count all the way up. The first row is 20, then goes, 22,24,26,28,30,32,34,36,38,40. These are the number of seats for all 12 rows, since we added 2 each row. Add them all together including 20 to get 330 seats. The whole auditorium has 330 seats.
Hope this helps!
As per arithmetic Progression, there are 372 seats in the given auditorium.
What is an arithmetic progression?"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Given, the auditorium has 20 seats in the first row.
Then, each successive row contains 2.
We can assume it as an arithmetic progression.
Here, the first term(a) is 20.
The common difference(d) is 2.
Total number of terms(n) is 12.
Therefore, the sum of all the terms is
[tex]= \frac{n}{2}[2a + (n-1)d]\\= \frac{12}{2}[2(20) + (12-1)2]\\= 6[40+(11)2)]\\= 6(40+22)\\= 6(62)\\= 372[/tex]
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7.) Evaluate the expression.
12 - 3V 25
Answer:
-3
Step-by-step explanation:
[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.
This gives 12-3×5 or 12-15.
This solves to -3.
**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!
1. Which events below are dependent?
A. rolling a 6 on a die three times in a row
B. tossing a coin twice and it lands heads once
C. winning two consecutive games of bingo
D. randomly choosing a class president and vice-president
Answer:B
Step-by-step explanation:
|- 3x| >= - 7
CAN SOMEONE PLEASE GIVE ME THE SOLUTION SET TO THIS INEQUALITY( WORTH 100 POINTS)
Answer:
x < [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Have a great summer :)
Answer:
someone answered this and its correct
Step-by-step explanation:
:D
Do you know how to do this?
Answer:
[tex]y=4(3)^{x}[/tex]
Step-by-step explanation:
Let the exponential function is,
f(x) = (b)ˣ
If this function has the base (b) = 3, function will be.
f(x) = (3)ˣ
If this function is transformed by a vertical stretch by a factor of 4,
New function will be,
g(x) = 4(3)ˣ
If the function 'g' is reflected across y-axis, new function will be,
h(x) = g(-x)
h(x) = [tex]4(3)^{x}[/tex]
Therefore, equation of the function will be,
[tex]y=4(3)^{x}[/tex]
I need help on this problem can anyone help me on this
Answer:
Step-by-step explanation:
Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get
[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:
[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:
x + 4 = ±3
The 2 solutions are
x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.
Can someone help me please
Answer:
x = 1
AB = 9
BC = 9
AC = 18
Step-by-step explanation:
Given that B is the midpoint of AC, we can say that
AB = BC
x² + 8x = 4x + 5
subtract (4x+5) from both sides to make the equation equal to 0, enabling us to solve for x
x² + 4x - 5 = 0
Because 5 and -1 add to 4 (the coefficient to x in 4x) and 5 * (-1) = -5 ( the constant), we can factor this out into
(x+5)(x-1) = 0
Therefore, x² + 8x = 4x + 5 can be true at either x=-5. x=1, or both. Plugging these values in the equations to check, starting with x=-5, we get
-5²+8(-5) =4(-5) + 5
-15 = -15
As a line segment cannot have negative length, and x² + 8x = 4x + 5 is negative when x=-5, x=-5 is not a viable solution
Next, for x=1, we get
1²+8(1) = 4(1) + 5
9=9
Therefore, x=1 is the only solution we have.
We have plugged this in for AB and BC, and 1²+8(1) = 4(1) + 5 = x² + 8x = 4x + 5 = 9 for both AB and BC
Next, AC is simply the sum of the two line segments that make them up, AB and BC, so AC = 9 + 9 = 18
Find the median of the data.
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Median: [?] cr
Answer:
Step-by-step explanation:
1,2,2,3,4,5,7
Median is 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
What is median?
The median stands for the middle value in a list ranked from smallest to largest. The mode stands for the most frequently occurring value on the list. The middle number; exists found by collecting all data points and choosing out the one in the middle (or if there exist two middle numbers, taking the mean of those two numbers).
Illustration: The median of 4, 1, and 7 stand 4 because when the numbers stand to put in order (1, 4, 7), the number 4 stands in the middle.
The given data: 7, 2, 1, 4, 5, 2, 3
The median of 7, 2, 1, 4, 5, 2, and 3 stand 3 because when the numbers stand to put in order (1,2,2,3,4,5,7), the number 2 stands in the middle.
Therefore, the Median is 3.
To learn more about median
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If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 108*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?
Answer: [tex]108^{\circ}[/tex]
Step-by-step explanation:
Given
The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].
Suppose the missing corner measures [tex]x[/tex]
So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]
[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]
Therefore, the missing angle is [tex]108^{\circ}[/tex].
For A = R + PRT/100 make P the subject.
Answer:
P=100(A-R)/RT
Step-by-step explanation:
A-R=PRT/100
100(A-R)=PRT
100(A-R)/RT=P
P=100(A-R)/RT
A potential difference of 35v is applied across the ends of a resistance of 3 ohms. How much current will flow in the resistance?
Answer:
11.67 Amperes
Step-by-step explanation:
From Ohm's law,
Ohm's law which state that a current
which flow through a conductor at a distance between two points is proportional directly to the voltage which is flowing across the two points.
I= V/R
Where
I= Current
V= potential difference =35v
R= resistance = 3 ohms
Then substitute the values we have
I = 35 / 3
I= 11.67 Amperes
PLease help me :( You will get 20 pionts! And i will mark Brainliest!
picture is also included
Question:
Which term describes how the two sides of this figure are related ?
A. Induction
B. Symmetry
C. Scientific method
D. Deduction
Answer:
B. Symmetry
Step-by-step explanation:
They are symmetrical, meaning they are mirrored or both look the same.
Hope this helps! :)
6x - y= 16 and 3x + 2y + -12 Answer.
Answer:
x= 4/3
y= -8
if you ment 3x + 2y = -12 in the second problem
Step-by-step explanation:
QUICKK a Square board has area of 2 ft.² what is the length of one side of the board
Answer:
√2 ft.
Step-by-step explanation:
⇒ Area of square board = 2 ft.²
⇒ (Side of the board)² = 2 ft.²
⇒ Side of the board = √(2 ft.²)
⇒ Side of the board = √2 ft.
Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quadrilateral did Kevin use to draw the triangles ?
Answer:
The square is the quadrilateral.
Step-by-step explanation:
A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.
If a quadrilateral is a square and we make its diagonal so that we get two triangles.
These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each other.
here, the triangles ABC and ADC are congruent and isosceles.
plzz help I will mark brainliesttttt
Answer:
HOPE IT HELPED U .....
Step-by-step explanation:
a). f(5)= 2x +6
= 2 *5+6
= 10+6
=16
(b). g (9)= -12x+4
= -12*9+4
= -108 +4
=-104
(c). f(5)+f(9)= 16+(-104)
=-88
Answer:
Step-by-step explanation:
f(x)=2x+6
f(5)=2*5+6
f(5)=10+6
f(5)=16
g(x)=-12x+4
g(9)=-12*9+4
g(9)=-108+4
g(9)=-104
Given the similar triangles at the left, write a similarity statement.
HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!
Answer:
∆ABC~=∆PQR
Angle BAC=QPR
(cos2A−cos2B)2+(sin2A+sin2B)2=4sin2(A+B)
Answer:
[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]
If GH = HI And FI =10 what is GI
Answer:
20
Step-by-step explanation:
By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.
Write the linear function for the graph shown in
slope-intercept form.
Answer:
upper left graph: y = 3/4x-3
lower right graph: x = 3
Step-by-step explanation:
what is the meaning of the quadratic formula. write it down?
Answer:
Quadratic formula is the tool for solving for an unknown number (usually x)
Step-by-step explanation:
The formula is below
Answer:
Below.
Step-by-step explanation:
The formula, which gives the solutions of the equation, is
x = [-b ±√(b^2-4ac)]/2a.
- a, b and c are the coefficients of the quadratic equation
ax^2 + bx + c = 0.
what is the length of the missing leg?
Answer:
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex]a^2+40^2=47^2\\[/tex]
Simplify,
[tex]a^2+1600=2209\\[/tex]
Inverse operations,
[tex]a^2=609[/tex]
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Answer:
b = 9 mm
Step-by-step explanation:
Using Pythagoras; identity in the right triangle
b² + 40² = 41²
b² + 1600 = 1681 ( subtract 1600 from both sides )
b² = 81 ( take the square root of both sides )
b = [tex]\sqrt{81}[/tex] = 9 mm
Use the probability model listing all 6 possible outcomes
when rolling a six-sided number cube. What is the
probability of rolling 5 or greater?
A) 2/3
B) 5/6
C) 1/3
D) 1/6
Answer:
C) 1/3
Step-by-step explanation:
if you have a 6 sided cube you have 1/6 of a chance of landing on any number.
But you only have a 2/6 chance of landing on 5 or greater.
2/6 is also equal to 1/3
Amy has a rectangular garden that is 23 feet wide. If the length of the garden is 12 feet, what is the length of its diagonal, in feet? Round to the nearest tenth
Answer:
25.9 feet
Step-by-step explanation:
If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle
Therefore we can use the pythagorean theorem to solve this problem
The two legs of the right triangle will be 23 and 12
The formula is a^2 +b^2=c^2
c^2 is the diagonal squared ( the hypotenuse)
So:
12^2+23^2=c^2
144+529=c^2
673=c^2
To find just c we need to find the square root of 673, rounded to the nearest tenth
[tex]\sqrt{673}=25.9[/tex]
(the equation is rounded)
So the diagonal is 25.9
Help me!! Please help me find the answer!!
Answer:
x = 42°
Step-by-step explanation:
You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.
96 • 2 + 2y = 360
168 = 2y
y = 84
x is half of y.
84 ÷ 2 = 42
Answer:
[tex]x=42^{o}[/tex]
Step-by-step explanation:
Area of a triangle is 180 degrees
Here both the triangles are same so, form an equation:
[tex]x+x+96=180[/tex]
[tex]2x+96=180[/tex]
[tex]2x=180-96[/tex]
[tex]2x=84[/tex]
[tex]x=84/2[/tex]
[tex]x=42^{o}[/tex]
what is the distributive property of 6(14+7)
Answer:
126
Step-by-step explanation:
6 (14 + 7)
6 (21)
126
plzz helpp all of this is due today :(
Answer: square root property
Step-by-step explanation:trust me
Find the surface area of the prism
Show all the work
I'll mark you brainiest
Answer:
I dont see the question oh nvm
Step-by-step explanation:
The Earth has a diameter of about 7,917.5 miles. What is the surface area of our planet? (Show your work, including the formula, along with your answer. Round your answer to the nearest tenth)
Answer:
196,836,571.6 miles²
Step-by-step explanation:
the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere
surface area of a sphere = 4πr²
π= 3.14
r = 7,917.5 / 2 = 3958.75 miles
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
4 x 3.14 x 3958.75² = 196,836,571.6 miles²
