Answer:
y = 6
Step-by-step explanation:
Answer:
i helped
Step-by-step explanation:
Which construction is shown in the figure below?
Answer:
C
Step-by-step explanation:
Perpendicular bisector of line segment AB
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:
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
plzz helpp all of this is due today :(
Answer: square root property
Step-by-step explanation:trust me
what is the distributive property of 6(14+7)
Answer:
126
Step-by-step explanation:
6 (14 + 7)
6 (21)
126
|- 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
PLS HELP! I WILL GIVE BRAINLIEST!! AND THE REST OF MY POINTS!
Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
(2.75 x 10⁵ ) / (2.25 x 10² )
= (2.75 / 2.25) x 10⁵⁻²
= 1.2 x 10³ times .
(That's 1,200 times as many.)
I hope this helps!
Answer:
1221.2 times more
Step-by-step explanation:
number of bacteria last week = [tex]2.25*10^2[/tex]
= [tex]2.25*100[/tex]
= [tex]225[/tex]
number of bacteria this week = [tex]2.75*10^5[/tex]
= [tex]2.75*100000[/tex]
= [tex]275000[/tex]
[tex]275000 - 225 = 274775[/tex]
[tex]274775 / 225 = 1221.2[/tex]
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
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
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]
(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]
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
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!
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].
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:
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that?
Answer:
24000ml or 24L
Step-by-step explanation:
wxhxl = volume
20cm x 30cm x 40cm = volume
volume = 24000cm3
1cm3 = 1ml
24000cm3 = 24000ml
1000ml = 1L
24000ml = 24L
a) If volume of a cylinder is 4817 and the radius is 4, find the height.
Answer:
71. 8
Step-by-step explanation:
volume of a cylinder = 4/ 3 π r² h
=> 4817 = 4/ 3 × 22/ 7 × 4² × h
=> h = (4817 × 3 × 7)/ (4 × 22 × 4²)
=> h = 71.8
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
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
https://brainly.com/question/12279205
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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:
What are the values of m and in the diagram below?
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
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.
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]
Given the similar triangles at the left, write a similarity statement.
HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!
Answer:
∆ABC~=∆PQR
Angle BAC=QPR
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
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.
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! :)
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.