Answer:
True
Step-by-step explanation:
Dilations preserve angle measure, betweenness of points and collinearity. It does not preserve distance. Simply, dilations always produce similar figures
Suppose (12, 8) and (4, 6) are the endpoints of a diameter of a circle. Which is an equation of the circle?
Answer:
[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]
Step-by-step explanation:
The formula for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center and r is the radius of the circle.
To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:
[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]
The points given are (12,8) and (4,6), so plug in the coordinates into the formula.
Center = (1/2)(12+4),(1/2)(8+6)
= (8,7)
Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:
[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]
Radius = √(x₂- x₁)² + (y₂-y₁)²
= √(12- 8)² + (8-7)²
= √(4² + 1²) = √(16+ 1) = √17
= r² = 17
Now that the radius and the center are known, the equation of the circle can be written as:
[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]
What is the area of a circle with a radius of 6 inches?
Answer:
113.04 inches
use the formula for the area a circle
[tex]A=\pi a^{2}[/tex]
:
What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)
The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
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Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
help me with this please I don't exactly get it
Answer:
P = 40.56 in (ANS)
Step-by-step explanation:
radius = 8/2 = 4 in
semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in
figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)
What is the value of y in this triangle?
980
А.
124°
В. 98°
Ос. 56°
OD. 36°
Answer:
D.36
Step-by-step explanation:
you have to subtract them to get your answer.
Here’s my dilemma, I can accept a $1000 bill or play a game ten times. For each roll of the single die, I win $500 for rolling 1 or 2, I win $400 for rolling 3; and I lose $300 for rolling 4,5,or 6. Based on the expected value, I should accept the $1000 bill.
Answer:
you should accept the $1,000 bill
Step-by-step explanation:
Given the information:
$500 for rolling 1 or 2$400 for rolling 3lose $300 for rolling 4,5,6P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
P (rolling a 3) = 1/6
P (rolling 4 or 5 or 6) = 3/6 = 1/2
Hence, the expected value for 1 time is:
E = (1/3)*500 + (1/6)*400 - (1/2)*300
E = $166 + $66 - $150
E = $82
Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820
The expected value is $82, meaning you should accept the $1,000 bill
What’s the missing leg length
Answer:
15
Step-by-step explanation:
pythag theorum
Answer:
15
Step-by-step explanation:
Pythagorean thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.
The hypotenuse, c = 17
Leg b =8
a^2=c^2-b^2
a^2=17*17-8*8
a^2=289-64
a^2=225
Take the square root of both sides.
a = 15
What is the value of x? Leave answer in simplest radical form.
8
60°
Answer:
Your answer is A . 8
Step-by-step explanation:
hope it helps !
A small pouch contains 8 black marbles,5 white marbles, and 12 red marbles. Find the probability of picking a red then a black marble if you do not replace the first marble.
Answer:
4/25
Step-by-step explanation:
Total amount of marbles: 8 + 5 + 12 = 25
With 25 marbles, the probability of picking a red is: 12/25
After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3
Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25
Help me please help me helpm
Answer:
[tex]g(x) = {(x + 9)}^{2} [/tex]
Perform the addition of polynomials (middle school math pls help!)
Answer: 1/4a - 1/6b + 1/10c
Hope this helped! Have a great rest of your day :)
PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!
People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking, how many gallons do they use every day?
Rewrite y = x2 + x - 20 in factorized form.
Answer:
y = x2 + x - 20 factors into
y = (x +5) * (x -4)
Step-by-step explanation:
Answer:
y = (x + 5)(x - 4)
Step-by-step explanation:
Given
y = x² + x - 20
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)
The factors are + 5 and - 4, since
5 × - 4 = - 20 and 5 - 4 = + 1, thus
x² + x - 20 = (x + 5)(x - 4)
The unit of metric measurement used
when measuring the width of your
pencil point.
A. Milliliters
B. Milligrams
C. Millimeters
D. Centimeters
The unit of metric measurement used
when measuring the width of your
pencil point is millimeters
What are the odds against selecting a red marble
Answer: it’s the first one.
Step-by-step explanation:
The mean of four numbers is 85. The four numbers are 86, 83, 81, and .
a) Write an equation to show this information
b) Solve the equation for .
Answer:
90
Step-by-step explanation:
a)
Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:
[tex]\dfrac{86+83+81+x}{4}=85[/tex]
b)
Multiply both sides by 4:
[tex]86+83+81+x=340\\x=90[/tex]
Hope this helps!
What if the value of x?
Answer:
x = 5
Step-by-step explanation:
This is a right triangle with hypotenuse x
We can use the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = x^2
9+16= x^2
25=x^2
Take the square root of each side
sqrt(25) = sqrt(x^2)
5 = x
Whats the distance between the points (7,3) and (7,-8)?
Also it deosnt come with a picture..
A. 11
B. 5
C. 10
D. 12
Answer:
A
Step-by-step explanation:
These two coordinates in (x,y) form have the same value for x, so they only differ in the y-value. That means if we subtract the y-values, that’s the vertical distance!
-8 - 3 = -11
(It helps me to think of this as -8 + -3.) They’re 11 units apart: think of it like a absolute value.
So the answer is A. 11
Express your answer in scientific notation. 1.4 x 10^9 - 8.6 x 10^8
Answer: 5.4 x 10^8 on Khan Academy
The scientific notation of the expression is,
⇒ 5.4 × 10⁸
What is Scientific notation?Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.
Given that;
The expression is,
⇒ 1.4 x 10⁹ - 8.6 x 10⁸
Now, Simplify the expression as;
⇒ 1.4 x 10⁹ - 8.6 x 10⁸
⇒ 14 x 10⁸ - 8.6 x 10⁸
⇒ (14 - 8.6) × 10⁸
⇒ 5.4 × 10⁸
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Use the Distributive Property to write an expression equivalent to 4(p-12).
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
I hope this helps!
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
How many servings of
cups are in 33 cups of ice cream?
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
Solve this brain teaser, please!!!
Answer:
0 in the end they all burn out
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?
Answer:
5
Step-by-step explanation:
2x - ( x - 7 ) = x + 7
x + 7 = 12
x = 12- 7 = 5
the number is 5
Write a quadratic function with a vertex at (-9,13).
Answer:
y = x² + 18x + 94
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 9, 13) and letting a = 1, then
y = (x + 9)² + 13 ← expand (x + 9)² using FOIL
= x² + 18x + 81 + 13
= x² + 18x + 94
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the unit rate of 405 miles in 8 hours?
Answer:
50.625 miles per hour (mph)
Step-by-step explanation:
Step 1: Divide
405/8
= 50.625
mark as brainliest please, I need a few more :)
How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
Option D.
Step-by-step explanation:
The given parent function is
[tex]f(x)=\dfrac{1}{x}[/tex]
The given function is
[tex]g(x)=\dfrac{1}{x+4}-6[/tex]
Using the parent function, the given function can be written as
[tex]g(x)=f(x+4)-6[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=4>0[/tex], it means the graph shifts 4 units left.
[tex]b=-6<0[/tex], it means the graph shifts 6 units down.
So, g(x) is shifted 4 units left and 6 units down from f(x).
Therefore, the correct option is D.
Transformation involves changing the form of a function.
The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).
The functions are given as:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
[tex]f(x)= \frac{1}{x}[/tex]
Start by shifting the function to the left, by 4 units.
This is represented as:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]f'(x)= \frac{1}{x + 4}[/tex]
Next, shift the function down, by 6 units.
This is represented as:
[tex](x,y) \to (x,y - 6)[/tex]
So, we have:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
Hence, the true option is (d)
Read more about transformation at:
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Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death. Write an inequality to represent Brittany’s age, b. Brittany’s brother, Nate, is two years younger than Brittany. Write an equation for Nate’s age, n, in terms of Brittany’s age, b. Rewrite the expression from Part B to get the variable b alone on one side of the equation. (This is also called isolating b.) Substitute the value of b from Part C into the inequality you found in Part A. Solve the inequalities from parts A and D for the variables b and n, respectively. Could Brittany be 27 years old and Nate 26? Why or why not?
Answer:
2b < 56
n = b - 2
b = n + 2
n < 27
b < 28
No, because the difference between Brittany and Nate's age is 2years
Step-by-step explanation:
A.)
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death
Let Brittany's age = b
Twice Brittany's age = 2 × b = 2b
Lincoln's age = 56
2b < 56
B.)
Nate's age = n
Nate is 2 years younger than brittany who is aged 'b'
n = b - 2
C.) b = n + 2
D.)
If 2b < 56 and b = n + 2
2(n + 2) < 56
2n + 2 < 56
2n < 56 - 2
2n < 54 ; n < 27
2b < 56
b < 56/2
b < 28
No, because the difference between Brittany and Nate's age is 2years
Simplify
[tex](5 \frac{1}{6)6} [/tex]
Answer:
simplify the expression
exact form :
5/36
decimal form :
0.138
Which could be the area of the base of the triangular prism?
[Not drawn to scale]
A) 6 ft2
B) 10 ft2
C) 12 ft2
D) 20 ft2
Answer:
It's 20 because 5ft times 4ft gives you 20ft
