Answer:
[tex]x^2+y^2=10-6y+25=0[/tex]
[tex]x^2-10x+y^2-6y=-25[/tex]
[tex]now ~add ~25+9 ~ on ~both~ sides[/tex]
[tex](x^2-10x+25)+(y^2-6y+9)=-25+25+9[/tex]
[tex]=(x-5)^2+(y-3)^2=9[/tex]
[tex](x-5)^2+(y-3)=(3)^2[/tex]
-----------------------
[tex]So, the~ center ~is~(5,3)[/tex]
[tex]The\ radius\ is \ 3\ units[/tex]
[tex](D)\ is \ your\ answer[/tex]
-----------------------hope it helps..have a great day!!Complete the table. Function: f (x) = x+2
The Jaxson Company offers a 6% coupon bond with semi-annual payments and a yield to maturity of 7.27%. The bonds mature in 6 years. What is the market price of a $1,000 face value bond?
Write
in function notation: h=x-2
Answer:
h(x) = x - 2
Step-by-step explanation:
h(x) = x - 2
Answer:
h(x) = x - 2
Step-by-step explanation:
Find the sum of: 72 − 104 + 5 and -32 + 4 - 10. What should be added to 32 + 32 + 3 to get 3 + 3 ? (1 mark) 3. Subtract the sum of 12ab –10bc –18ac and 9ab + 12bc + 14ac from the sum of ab + 2bc and 3bc – ac. Answer these with Explanation To be marked as BRAINLIEST!
Answer:
a). -65
b). -61
c). -20ab + 3bc +3ac
Step-by-step explanation:
According To the Question,
a). the sum of 72 − 104 + 5 and -32 + 4 - 10 .
(72 − 104 + 5) + (-32 + 4 - 10)(-27) + (-38)-27 - 38 -65b). What should be added to 32 + 32 + 3 to get 3 + 3 , Let X be Added .
Thus, (32 + 32 + 3) + X = 3 + 367 + X = 6X = 6 - 67X = -61c). Subtract the sum of 12ab –10bc –18ac and 9ab + 12bc + 14ac from the sum of ab + 2bc and 3bc – ac.
Thus, [(ab + 2bc) + (3bc – ac)] - [( 12ab –10bc –18ac) + (9ab + 12bc + 14ac)] (ab + 5bc - ac) - (21ab + 2bc - 4ac)ab + 5bc - ac - 21ab - 2bc + 4ac-20ab + 3bc + 3acMrs. Easton plans to hire a balloon artist for her daughter's birthday. The graph shows the cost per hour to hire the artist.
If there are more than 10 children at the party, the balloon artist charges an additional supply fee of $35. There will be 15 children at the Easton party. How much will the balloon artist charge Mrs. Easton for a party that is 4.5 hours long?
Multiple choice question.
A)
$60.25
B)
$67.50
C)
$98.75
D)
$102.50
Help ASAP
Answer:
I believe it is A) 60.25
Step-by-step explanation:
If it is not correct, let me know.
All of the following numbers are rational except _____.
Answer:
What are the numbers?
Step-by-step explanation:
I can help if you give the numbers :)
help please!!..........
Answer: 0.36
Hope this helps...
Have a great day.
PLEASE HELP HIRRYYYY PLEASEEE
Answer:
i believe the answer is B
Step-by-step explanation:
hope this helps
I need help with this, please, I'm not really sure what to do to get the answer
Answer:
option D
Step-by-step explanation:
Clearly from the graph we say that at x = 4 and x = -6, f(x) = 0
Now we will check this with your options.
A) f(x) = (x + 1 )² - 5
at x = 4, f(x) = 25 - 5 = 20 ≠ 0 ; not A
B) f(x) = x - 5
at x = 4, f(x) = 4 - 5 = 1 ≠ 0 ; not B
C) f(x) = (x + 1 )³ - 5
at x = 4 , f(x) = 125 - 5 = 120 ≠ 0 ; not C
D) f(x) = | x + 1 | - 5
at x = 4 , f(x) = | 4 + 1 | - 5
= 5 - 5 = 0 ; satisfies
at x = -6 , f(x) = | - 6 + 1 | - 5
= | - 5 | - 5
= 5 - 5 = 0 ; D satisfies [ | - a | =a , absolute value function ]
Please help ASAP!!
I'll mark brainliest!
Answer:
729 x [tex]\frac{1}{3}[/tex]^x
Step-by-step explanation:
the third option
- trial and error
Solve for the variable. You do not have to show your work:
4/w = 10
Answer:
2/5 =w
Step-by-step explanation:
4/w = 10
Multiply each side by w
4/w *w = 10*w
4 = 10w
Divide by 10
4/10 = 10w/10
2/5 =w
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]w=\frac{2}{5}[/tex]
»»————- ★ ————-««
Here’s why:
We will use inverse operations to solve for the variable 'w'.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{4}{w}=10\\-----------\\\rightarrow (\frac{4}{w})w =10*w\\\\\rightarrow 4 = 10w\\\\\rightarrow 10w=4\\\\\rightarrow\frac{10w=4}{10}\\\\\rightarrow w=\frac{4}{10}\\\\-----------------\\\frac{4}{10}\text{ can be simplified.} \\\\\rightarrow\frac{4}{10}=\frac{4/2}{10/2}=\frac{2}{5}\\-----------------\\\\\rightarrow\boxed{w=\frac{2}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELP ASAP: TRIGONOMETRY
Recall that sine is the ratio of opposite over hypotenuse, so we say
sin(theta) = opposite/hypotenuse
If we have a triangle labeled as such in the diagram below, then we can use symbols to write sin(theta) = A/C
Similarly, cos(theta) = B/C since cosine is the ratio of adjacent over hypotenuse.
Then from here we use a bit of algebra to compute the left hand side of the given equation. The goal is to see if we can simplify it to 1.
[tex]\sin^2\left(\theta\right)+\cos^2\left(\theta\right)\\\\\left(\sin\left(\theta\right)\right)^2+\left(\cos\left(\theta\right)\right)^2\\\\\left(\frac{A}{C}\right)^2+\left(\frac{B}{C}\right)^2\\\\\frac{A^2}{C^2}+\frac{B^2}{C^2}\\\\\frac{A^2+B^2}{C^2}\\\\\frac{C^2}{C^2}\\\\1[/tex]
So this shows that the left hand side is identically the same as the right hand side (both sides are 1), and it doesn't matter what you replace theta with. Theta can be any real number and the equation will always be true.
Note: if you're wondering how A^2+B^2 became C^2, it's because of the pythagorean theorem. So that's why this trig identity is often referred to as the pythagorean trig identity.
Help me please no links no
Answer:
x/4
Step-by-step explanation:
x + 4/4 = y + 3/3
do cross multiplication
4(y +3)=3(x +4)
4y +12=3x +12
4y=3x + 12 -12
4y=3x
y/3 = x/4
6. Find the area of the figure below. Round to the hundredths place.
Answer:
300.94 sq.m
Step-by-step explanation:
A solid in the shape of cylinder with two hemisphere to each of its ends.
Length of the entire solid = 18 mDiameter of the solid = 7 mRadius of hemisphere , r = 7 / 2 = 3.5 mTo findTotal surface area Formula UsedCurved surface area of hemisphere= 2π ×r ²Curved surface area of cylinder = 2 π × r × hSolution :-Finding, the Curved surface area of cylinder
Calculate the height of cylinder
Height of cylinder = total length of solid - 2 × radius of hemisphereHeight of the cylinder = 18 m - 2 × 3.5= 18 m - 7 mHeight of cylinder = 11 m
Now, we have
Height of cylinder = 11 m
Radius of cylinder = 7 / 2 = 3.5 m
Using Formula :-
Curved surface area of cylinder = 2× π × r × h
Substitute the values
Curved surface area of cylinder = 2π× 3.5m×11m.
Using the value of π = 3.14
Curved surface area of cylinder =2×3.14× 3.5m × 11 m.
multiply, we get.
Curved surface area of cylinder = 241.78 m².
Finding curved surface area of hemisphere
Using Formula
Curved surface area of hemisphere = 2 × π × r²
substitute the values into the formula
Curved surface area of hemisphere = 2 π × ( 3.5 )²
Evaluate the exponent
Curved surface area of hemisphere =2π×12.25m².
Using value of π = 3.14
Curved surface area of hemisphere = 2 × 3 14 × 12.25 m ²
multiply , we get
Curved surface area of hemisphere = 76.93 m².
Find the total areaTotal area of capsules = Curved surface area of cylinder + 2 (Curved surface area of hemisphere)
Total surface area of capsules = 241.78 m²+ 2 × 76.93 m².
Total surface area = 241.78m² + 153.86m².
Subtract and finally we get
Total surface area = 395.64 m ²
Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in
Answer:
3.897 [tex]in^{2}[/tex]
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= (2.598)(3)
2
A = 3.897 rounded
Please help ASAP THIS IS MY FINAL QUESTION!!!! 20 points!!!!
Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3
factorise the following expressions;
1. 8x + 6 2. 4x + 2
Answer:
Step-by-step explanation:
1. 8x + 6
2(4x+3)
2.4x+2
2(2x +1)
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
1. [tex]\boxed{Factorise \ = \ 8x + 6}[/tex]
⎆To factorise this, you have to take the common factor out. In this case, it's 2.
[tex]8x + 6 \\ = 2(4x + 3)[/tex]
[tex]\boxed{Answer \ = \ 2(4x + 3)}[/tex]
2) [tex]\boxed{Factorise \ = \ 4x + 2}[/tex]
⎆To factorise this, you have to take the common factor out. In this case also, it's 2.
[tex]4x + 2 \\ = 2(2x + 1)[/tex]
[tex]\boxed{Answer \ = \ 2(2x + 1)}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
ღ [tex]RainbowSalt2^{2}2^{2} [/tex]
PLZZZZ ANSWERrrrrrrrrrrr
i need help please. and explanation will help for tomorrow in a test:)
An equation is shown below: −2(4x − 1) − 7 = 5 Which statement shows a correct next step in solving the equation? (1 point)
A)The equation can become −2(4x − 1) = −2 by applying the distributive property.
B)The equation can become −2(4x − 1) = 12 by applying the addition property of equality.
C)The equation can become −2(4x − 1) = 12 by applying the commutative property of addition
D)The equation can become −2(4x − 1) = −2 by applying the subtraction property of equality.
Answer:
B
Step-by-step explanation:
Add both sides of the equation by 7, which satisfies the definition of the addition property of equality.
Use the function below to find F(3).
F(x) = 4•C**
O A.
H im
O B.
O c.
4
27
O D.
81
Answer:
4-3
Step-by-step explanation:
solve for x
Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27
Correct option is C.
What is exponential function?As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:
Definition of exponential function
In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0.
Given, exponential function
f(x) = 4(1/3)ˣ
exponential function is defined for x∈R
Putting x = 3
f(3) = 4(1/3)³
f(3) = 4/27
Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3
Learn more about exponential function here:
https://brainly.com/question/14355665
#SPJ7
You are a botanist studying a rare flower. The center of the flower is a regular polygon. The petals coming off the flower are roughly triangular in shape.
a. What is the name of the center polygon?
b. What is the sum of the interior angles of the center?
c. What is the measure of each interior angle of the center?
d. In order to compare the size of the petals to other flowers of the same species you need to determine the exterior angle of the polygon. What is the measure of the exterior angle of the polygon?
Answer:
a). Regular Pentagon
b). 540°
c). 108°
d). 72°
Step-by-step explanation:
According To the Question
Given, a botanist studying a rare flower. The center of the flower is a regular polygon. The petals coming off the flower are roughly triangular in shape.a). the name of the center polygon is Regular Pentagon
b). the sum of the interior angles of the Regular Pentagon is 540°
c). the measure of each interior angle of the Regular Pentagon is 108°
d). the measure of the Each exterior angle of the Regular pentagon is 72° & Sum of All Exterior Angle Of Regular Pentagon is 360°
Which of the following graphs is the solution set of -10 < 3x - 4 < 8?
Answer:
3rd option
Step-by-step explanation:
Solving the inequality
- 10 < 3x - 4 < 8 ( add 4 to each interval )
- 6 < 3x < 12 ( divide each interval by 3 )
- 2 < x < 4
Since -2 less than x and x less than 4
This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.
The solution is represented on the 3rd graph
Answer:
its the 3rd graph
Step-by-step explanation:
Which equation does the graph of the systems of equations solve?
two linear functions intersecting at 3, negative 2
Answer:
[tex]\text{B. }\frac{1}{3}x-3=-x+1[/tex]
Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] (doesn't matter which you assign) and use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)[/tex]
The slope is equal to:
[tex]m=\frac{0-1}{1-0}=\frac{-1}{1}=-1[/tex]
Therefore, the slope of this line is -1. In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents slope, so one of the lines must have a term with [tex]-x[/tex] in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:
[tex](x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)[/tex]
Using the slope formula:
[tex]m=\frac{-2-(-3)}{3-0}=\frac{1}{3}[/tex]
Thus, the slope of the line is 1/3 and the other line must have a term with [tex]\frac{1}{3}x[/tex] in it, eliminating answer choice C and leaving the answer [tex]\boxed{\text{B. }\frac{1}{3}x-3=-x+1}[/tex]
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into [tex]y=mx+b[/tex]
50 POINTS
Find the approximate values of the five-number summary for the data set represented by this box plot.
Answer:
From the box plot we get:
Minimum - 14Maximum - 88Quartile 1 - 34Quartile 3 - 65Median - 48Answer:
the other person is correct!
Step-by-step explanation:
Show them some love <3!
dilation of ?? about the origin
Which expression is equivalent to the given expression?
Answer:
Step-by-step explanation:
20cd^-1
Which is the best description for the graph below?
A graph decreases from (0, 3) to (9, 0).
Answer:
Step-by-step explanation:
As we move from (0, 3) to (9, 0), we see x increasing by 9. This is the 'run.'
At the same time, we see y decreasing by 3. This is the 'rise.'
The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3
Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.
Which is the ratio formed when finding Tan M?
45
24
K
M M
51
15
17
1
15
8
8
15
8
17
Answer:
tanM = [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
tanM = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{45}{24}[/tex] = [tex]\frac{15}{8}[/tex]
Construction workers are using floor plans that have a scale of 1 cm to 2 m on the floor plans a corridor is shown with a length of 9 cm how many meters long will the actually corridor be?
Answer:
18 m
Step-by-step explanation:
1cm=2meters
so 9 cmx2=18meters. the corridor will be 18 meters