The figure showing the construction is given below.
Steps for the construction of a circle through three points not on a straight line are as follows:
1. To create two lines, connect the points.
2. Create the line's perpendicular bisector.
3. Create the opposite line's perpendicular bisector.
4. The circle's center is where they intersect.
5. Draw your circle by placing the compass on the center point and adjusting its length to reach any point.
What happens if the points are parallel?
The circle traveling through all three points will have an infinite radius if the three points are collinear, or all situated on a straight line. Therefore, a practical circle cannot traverse three collinear locations. The two radii would be parallel and would never come together at a center if you tried the construction. We may claim that they do cross mathematically but at infinity.
Hence, after following the steps we obtain the circle.
Learn more about constructions here-
brainly.com/question/8778086
#SPJ10
What is the equation if the blue line?
Answer:15
Step-by-step explanation:
Start off using Java. As u progress you cant move over to C and the then transfer to python.
Trihao is driving from cambridge to london Assume the distance between cambridge and london is 100 km Given that trihao drives at an average speed of 80km/h work out his journey time
average speed equals distance over time 100/80 will give you 5/4
what is the equation (in slope-intercept form) of a line that passes through the point (3,-2) and has a slope of -2
Answer:
[tex]y = - 2x + 4[/tex]
Step-by-step explanation:
Thank you
Select the correct answer.
Which expression is equivalent to √48x5, if x > 0?
OA. 12x³√3x
B. 4x³√3
OC. 4x²√3x
OD. 12x²√
Answer: C
Step-by-step explanation:
[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]
GIVING 100 POINTS PLEASE HELP!! Consider the expression 3+(−4)−2−(−1). answer these three questions.
How many balloons should you add? How many should you remove?
How many weights should you add? How many should you remove?
What is the final answer?
Answer:
Step-by-step explanation:
12 becuase you have to read the equasion and do the problem
graph y = − 3/2 x − 3
Answer:
Step-by-step explanation:
THIS WILL BE A STRAIGHT LINE rising to the left as the coefficient of x is negative ( -3/2),
When x = 0 y = -3 so mark the point (0, -3) on your graph paper.
When x = 6, y = -3/2 * 6 - 3 = -9 - 3 = -12
So mark the point (6, -12)
The graph will be the straight line passing through the above 2 points.
Find the area of a rectangle whose length is 18.60m and breadth is 7.05m.
Answer:
131.13
To find the area do w (width) times l (length/breadth) so the equation to find the area would be L*W=A
Which of the following is equal to m
Answer: tan^-1 (c/a)
Step-by-step explanation: An angle C ∈ ℝ such that angle C > 0 can be defined by the trigonometric ratio Arctangent (or rather tan^-1) where side "c" divided by side "a" ≠ 0.
From one vertex of an n-sided polygon 5 different diagonals can be drawn which one of the following pairs of numbers are the number of sides (n) and the sum of measures of all interior angles of this polygon?
The number of diagonals drawn from the vertex of the polygon of n sides is (n−3).
The correct option is C)
⇒ A diagonal is a segment that connects two non-consecutive vertices in a polygon.
⇒ The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides.
What is the polygon?
A polygon is a plane figure enclosed by line segments called sides. Polygon is a 2d shape.
Regular polygons contain equal side lengths.
⇒ Let n be the number sides in the polygon.
⇒ So, the number of diagonals drawn from the vertex of the polygon of n sides is (n−3).
To learn more about the diagonal visit:
https://brainly.com/question/654982
#SPJ1
Solve the equation.
–3x + 1 + 10x = x + 4
x = x equals StartFraction one-half EndFraction
x = x equals StartFraction 5 Over 6 EndFraction
x = 12
x = 18
Answer:
x = 1/2
Step-by-step explanation:
-3x + 1 + 10x = x + 4 [given]7x + 1 = x + 4 [combine like terms]6x + 1 = 4 [subtract x from both sides]6x = 3 [subtract 1 from both sides]x = 1/2 [divide both sides by 6)Answer:x = 1/2
Step-by-step explanation: Just took the test on EDGE!!
PLEASE HELP!!!!!! i will give brainiest!
Answer:
[tex]\sf B) \ y=-\dfrac{1}{5}x-4[/tex]
Explanation:
Equation: y = mx + b [where "m" is slope, "b" is y-intercept]
The y-intercept (b) is -4
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here take two points: (0, -4), (5, -5)
[tex]\sf slope \ (m) : \dfrac{-5-(-4)}{5-0} = -\dfrac{1}{5}[/tex]
[tex]\sf Hence \ equation : y = -\dfrac{1}{5} x -4[/tex]
Please help me with this ASAP.
Kiran’s mother gets a restaurant bill for $25. She has a coupon for 15% off. After the discount is applied, she adds 20% as a tip.
What is the total after the discount and tip? Explain or show your reasoning.
Answer:
See below for both parts
Step-by-step explanation:
A)
Coupon Price:
$25 - 15% ($3.75) = $21.25
10% = 2.50
5% = 1.25
After taking the discount coupon off the final price is $21.25
B)
20% is given as a tip.
20% of $21.25 = $4.25
10% = 2.125
$21.25 + $4.25 = $25.50
Final price with tip is $25.50
Consider the graph of the function f(x)=-(2)^x + 4
I have linked a picture with the intervel.
Please help! Multiply the following two numbers in scientific notation.
Answer:
d) 5.88×10^9
Step-by-step explanation:
Answer:
d) 5.88 × 10⁻⁹
Explanation:
[tex]\rightarrow \sf \left(1.2\cdot 10^7\right)\left(4.9\cdot 10^2\right)[/tex]
[tex]\sf apply \ exponent \ rule : a^b + a^c = a^{b + c}[/tex]
[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7}\cdot \:10^{2}[/tex]
[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7+2}[/tex]
[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^9[/tex]
[tex]\rightarrow \sf 5.88 \cdot \:10^9[/tex]
Someone help me pleaseee
Answer:
A.) 588329.896
B.) 274300
C.) 1657.18474
D.) 1.002
(All answers unrounded.)
Explanation:
I converted each unit to the unit used in the other number (E.g., for question A I converted tons to kilograms, and then finished solving.)
Use the point-slope equation to identify the slope and the coordinates of a point on the line y - 4 = 7 (x-1). The slope of the line is A point on the line is
Answer:
slope is 7 and point on line is (1, 4 )
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
given line A has equation in point- slope form of
y - 4 = 7(x - 1) , then
slope of line is 7 and a point on the line is (1, 4 )
The difference between two positive integers is two if the smaller is added to the square of the larger the sum is 70
Step-by-step explanation:
ATTACHED IS THE SOLUTION.Tell me if you have any questions.The function f represents the marketing team's expected number of user profiles after x months, when the domain is restricted to all real or hole
The standard equation of user will be y = 625x²+1250x+5000
A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A connection or statement involving one or more variables is called a function.
From the graph we can find following equation:
(0,5000) ----------- 5000 = [tex]\frac{1}{4(f-k)}(0-h)^2 +k[/tex]
(2,10000) ---------- 10000 = [tex]\frac{1}{4(f-k)}(2-h)^2 +k[/tex]
(4,20000) --------- 20000 = [tex]\frac{1}{4(f-k)}(4-h)^2 +k[/tex]
Solving the above three equations we will get following values:
h = -1
k = 4375
f = 10937501/2500
Hence the standard equation of user will be y = 625x²+1250x+5000
Learn more about functions here:
https://brainly.com/question/4025726
#SPJ10
Help please this is khan academy
Answer:
9800 cm^2
Step-by-step explanation:
The area of a square is just the length of one of the sides squared. In the first image it's given that one of the sides is 70 cm and the shape is also a square pyramid so the base is going to be a square. So the area the base is (70 cm) ^ 2 = 4,900 cm^2. The area of a triangle is 1/2 bh. The base is given in the first image which is 70 cm and the height is also given which is 140 cm. This gives you the equation 0.5 * 140 cm * 70 cm = 4900 cm^2. Adding these two values gives you 9800 cm^2
What is the difference? startfraction x over x squared minus 16 endfraction minus startfraction 3 over x minus 4 endfraction startfraction 2 (x 6) over (x 4) (x minus 4) endfraction startfraction negative 2 (x 6) over (x 4) (x minus 4) endfraction startfraction x minus 3 over (x 5) (x minus 4) endfraction startfraction negative 2 (x minus 6) over (x 4) (x minus 4) endfraction
The difference of the fractions as given in the task content is; (4-2x) / (x²-16).
What is the difference of the two fractions?According to the task content, the fractions whose difference is to be evaluated are as indicated below;
[tex] \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} [/tex]
Hence, the LCM of the denominators of both fractions can be evaluated as;
x -3(x+4)/(x²-16).
(4-2x) / (x²-16)
Hence, the difference of the two fractions is; (4-2x) / (x²-16).
Read more on difference of fractions;
https://brainly.com/question/14850477
#SPJ1
Find the HCF of
x^2y and x
The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]
{
5x−y=19
13x−3y=51
Can anybody help me to understand this equation ASAP
Answer:
×=-3
y=-4
Step-by-step explanation:
13×-3y=51
(-) 5×-y=19
-5×+y=-19
13×-3y=51
8×-2y=32
2/8x-2y=32
4x-y=16
4×-y=16
-5×+y=-19
-×=-3
×=3
Answer:
x = 3
y = -4
(3,-4)
Step-by-step explanation:
Hello!
We can use the Elimination Method to solve the system.
To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.
[tex]5x - y = 19[/tex][tex]3(5x - y = 19)[/tex][tex]15x - 3y = 57[/tex]Now, we can vertically subtract them to eliminate -3y.
[tex]-\left \{ {{15x - 3y = 57} \atop {13x - 3y = 51}} \right.[/tex][tex]2x + 0 = 6[/tex]Solve for x
[tex]2x + 0 = 6[/tex][tex]2x = 6[/tex][tex]x = 3[/tex]The value of x is 3.
To solve for y, we can plug in 3 into the original first equation and solve for y.
Solve for y
[tex]5x - y = 19[/tex][tex]5(3) - y = 19[/tex][tex]15 - y = 19[/tex][tex]-y = 4[/tex][tex]y = -4[/tex]The value of y is -4.
The solution to the system is (3,-4).
Is the following graph a linear function, non linear function, and or a relation
The solution to an inequality is graphed on the number line.
A number line going from negative 5 to positive 5. A solid circle appears between positive 4 and positive 5. The number line is shaded from the circle to negative 5.
What is another way to represent this solution set?
{x | x < 4.5}
{x | x ≤ 4.5}
{x | x > 4.5}
{x | x ≥ 4.5}
The correct answer is option B which is {x | x ≤ 4.5}
What is a number line?
A number line is a representation of a graduated straight line used to represent real numbers in introductory mathematics.
Because the arrow is pointing to the left, the answer to the solution set needs to be less than the number the dot is on.
A solid dot on a number means that that number is included in the solution set.
In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.
Therefore the correct answer is option B which is {x | x ≤ 4.5}
To know more about number lines follow
https://brainly.com/question/4727909
#SPJ1
A local candy shop sells boxes of chocolate for $3.45 each. If a customer purchases five or more boxes, the cost is only $3 per box, plus the customer has an additional $1 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?
C of x equals 3.45 times x if x is less than 5 and 3.00x plus 1 if x is greater than or equal to 5.
C of x equals 3.45 times x if x is less than 5 and 3.00 plus x if x is greater than 5.
C of x equals 3.45 times x if x is less than or equal to 4 and 3.00x minus 1 if x is greater than 5.
C of x equals 3.45 times x if x is less than 4 and 3.00x minus 1 if x is greater than or equal to 5
The function that best models the scenario is as follows;
x < 5 : C(x) = 3.45x + 1
x ≥ 5 : C(x) = 3x + 1
How to find an equation?A local candy shop sells boxes of chocolate for $3.45 each.
This is when the consumer purchase less than 5 boxes of chocolates.
Therefore,
x = number of boxes
when x < 5
C(x) = 3.45x + 1
If a customer purchases five or more boxes, the cost is only $3 per box. Therefore,
when x ≥ 5
C(x) = 3x + 1
learn more on equation here: https://brainly.com/question/24976064
#SPJ1
There was a bag of counters. 45 were large! For every large counters 3/5 were small! The green was 300% than yellow, there were 12 small yellow counters. How many were large green counters?
Answer:
12 is the correct answer
table shows the travelling time to work of 50 people.
Travelling time (t) in minutes
Frequency
0 < t < 10
5
10 < t < 20
15
20 < t < 30
13
30 < t < 40
10
40 < t < 50
Calculate an estimate of the mean travelling time.
An estimate of the mean travelling time will be 24.8 mins.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Given;
Time > timemark > frequency
0 – 10 > 10/2 = 5 > 5
10 – 20 > (10+20)/2 = 15 > 15
20 – 30 > (20+30)/2 = 25 > 13
30 – 40 > (30+40)/2 = 35 > 10
40 – 50 > (40+50)/2 = 45 > 7
The mean time for the 50 people can be calculated as;
Mean = Summation of (mid-time x frequency) / total frequency
Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50
Mean = [25 + 225 + 325 + 350 + 315] / 50
Mean = 1240 / 50
Mean = 24.8 mins
Learn more about mean and median;
https://brainly.com/question/17060266
#SPJ1
A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction. (a) What fraction of the books are fiction? Give your answer in its simplest form. (b) What fraction of the books are non-fiction?
(a) The fraction of books that are fiction is 2/3.
(b) The fraction of books that are non-fiction is 1/3.
To find the fraction of fiction and non-fiction books on a bookshelf:
Given: A bookshelf has 96 books. 64 of the books are fiction and the rest are non-fiction books. (a)Fraction of fiction books =?
(b)Fraction of non-fiction books =?
Now,
As given, we have,
The total number of books on a bookshelf = 96
Out of 96, the total number of fiction books = 64
So,
The remaining number of books = non-fiction books = 96-64 = 32
(a) Fraction of fiction books = fiction books/total books
= 64/96
On simplification,
= 2/3
(b) Fraction of non-fiction books = non-fiction books/total books
= 32/96
= 1/3
Therefore, the fraction of fiction and non-fiction books is 2/3 and 1/3 respectively.
To learn more about fractions, refer:
https://brainly.com/question/78672?utm_source=android&utm_medium=share&utm_campaign=question
#SPJ2
What is the y-intercept of the line shown?
-1
0
1
Answer:
-1
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis.
Answer:
[tex]\huge\boxed{\sf y-intercept = -1}[/tex]
Step-by-step explanation:
Y-intercept is the point of the line of the equation where:x = 0the line of the equation passes through the y-axis.Here,
y-intercept = -1Since, this is the point where x = 0 and where the line passes through the y-axis.
[tex]\rule[225]{225}{2}[/tex]
Which of the following rational functions is graphed below?
Answer:
D
Step-by-step explanation:
I looked at the vertical asymptotes. -1 and 2. from the knowledge I have the answer with x=-1, 2 is D.