Answer and explanation:
To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.
Theorem: the perpendicular bisector of a chord passes through the center of a circle.
Note: a diameter of a circle is a chord that passes through the center of a circle.
The graph represents the piecewise function:
f(x)= { __, if -1 ≤ x ≤ 1; __, if 3 ≤ x ≤ 5 }
Answer:
4, x-1
Step-by-step explanation:
The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.
The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
The first piece of this function goes from -1 to 1.
Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
so, we have,
The second piece of this function goes from 3 to 5.
This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.
Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).
When putting this equation together we get x-1 being the second part.
Hence, The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
To learn more on graph click:
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please help guys its urgent
Answer:
option B : Upen
Step-by-step explanation:
To find who saves the greatest. Find who spent the least.
That is find the smallest of these fractions.
To find the smallest among the fraction:
Step 1 : make the denominators the same.
Step 2 : to make denominators same find LCM of 8, 4, 3, 6
Step 3: LCM = 24
[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]
[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]
So 2/3 is the smallest fraction, which means 2/3 spent the least amount from the salary.
Therefore, Upen saves the greatest amount every month.
[tex] \frac{12}{20} - \frac{30}{20} [/tex]
Answer:
-9/10
Step-by-step explanation:
12/20 - 30/20
Since the denominators are the same, we can subtract the numerators
12-30 = -18
Put this over the denominator
-18/20
Simplify by dividing the top and bottom by 2
-9/10
6x-27=-3x
solve for x:D
Answer:
6×-27=-3×
+3×
9/9×=27/9
×=3
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?
A. t = s - 18
10t = 12s + 32
B. s = t - 18
12s = 10t + 32
C. s = t - 18
10s = 12t + 32
D. t = s - 18
12t = 10s + 32
Answer:
[tex]\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}[/tex]
Step-by-step explanation:
The each issue of the sports magazine, [tex]s[/tex], has 18 fewer pages than each issue of the technology magazine, [tex]t[/tex], we have equation [tex]s=t-18[/tex]. This eliminates answer choices A and D.
The second equation can be written from the fact that the total number of pages in all the sports magazines, [tex]12s[/tex], is 32 more than the total number of pages in all the technology magazines, [tex]10t[/tex]. Thus, we have equation [tex]12s=10t+32[/tex], eliminating answer choice C and leaving answer choice [tex]\boxed{\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}}[/tex]
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))
Answer:
Here, given
g(x) = √x
h(x) = x³-1
For gh(4) , we have to find gh(x), so,
gh(x) = g(x³-1)
=√x³-1 [Note⇒root is both for x³ and 1]
Now,
gh(4) = √4³-1
= 3√7 or 7.9
Hope it helps!
A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.
Answer:
C. 24%
Step-by-step explanation:
hope it works
Answer:
39%
Step-by-step explanation:
Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x
someone help por favor
Answer:
2x+6>20
2x>20-6
2x/2>14/2
x>7
So your answer would be B
Find the area of the shape below. GUS PLEASE HEL
Answer:
122 squared cm
Step-by-step explanation:
[tex]6*12=72[/tex]
[tex]10*5=50[/tex]
[tex]72+50=122[/tex]
Hope this helps
Answer:
122 squared cm
Step-by-step explanation:
First we split the figure into 2
12 x 6
And,
10 x 5
12 x 6 = 72
and
10 x 5 = 50
Now we add 72 + 50 = 122
Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions
Step-by-step explanation:
Let the increase in the size of the length and breath be 'x'.
The area of the rectangle = 12in × 8in
=96 in²
From the question,
(12+x)(8+x)=96×2 in²
or, 96+12x+8x+x²= 192
or, x²+20x+96-192=0
or, x²+20x-96=0
or, x²+24x-4x-96=0
or, x(x+24)-4(x+24)=0
or, (x-4)(x+24)=0
Either, Or,
x-4=0 x+24=0
Therefore, or, x= –24 (Which is impossible)
x=4
So the new dimensions are 12+4=16 inch and 8+4=12 inch.
Which?
A
B
C
D
Help me for 20 points!!!
Answer:
8/5
Step-by-step explanation:
7 3/10-5 7/10=8/5
Length of radius r ?
Answer: 10
We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.
Answer:
The answer would be 10.
Step-by-step explanation:
We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.
The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for .
Answer: 18.84
Step-by-step explanation:
Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answer:
4X+5
Step-by-step explanation:
Dan : X
Harry: X+5
Regan: 2X
X+X+5+2X
Answer:
[tex]Mean = \frac{4x + 5}{3}[/tex]
Step-by-step explanation:
Given:
Dan sold = x
Harry sold 5 more than Dan, that is = x + 5
Regan sold twice as Dan = 2x
[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]
Which of the following is the function f(x) if f^-1(x) = 5x - 19?
A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19
Answer:
number of A is correct answer
can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1
Step-by-step explanation:
everything can be found in the picture
PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.
Answer:
Step-by-step explanation:
First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.
Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).
Hope this helps!
:)
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 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.
A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen
Answer:
4 muffins is $2.75
4*3=12
1 dozen is 12
2.75 * 3 =$ 8.25
Step-by-step explanation:
Solve for y.
-24 = -8y
Simply your answer as much as possible.
Answer:
Y=3
Step-by-step explanation:
-8 times 3 equals -24
Answer:
y = -3
Step-by-step explanation:
-24 = 8y
Divide both side by 8
-24/8 = 8y/8
-24/8 = y
divide -24 by 8 to get -3
-3 = y
rewrite ..( optional )
y = -3
Which of the quotients are equivalent to -(48/17)
Answer:
oiie4546
Step-by-step explanation:
Does this graph represent a function? Why or why not?
Answer:
B yes
Step-by-step explanation:
As long as a verticle line intercepts the graph at no more than one point it is a function
Answer:
B. Yes, because it passes the vertical line test
Step-by-step explanation:
no x values are repeated
Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.
Step-by-step explanation:
x-intercept => point (2, 0)
y-intercept => point (0, -4)
find the height x of the tree
Answer:
19.8 m
Step-by-step explanation:
To find the height of the tree, we can use the trig ratio tangent:
θ = angle, h = height
tan θ [tex]= \frac{opposite}{adjacent}[/tex]
tan 33° = h / 30.5
h = (tan 33°)(30.5)
h = (0.6494)(30.5)
h = 19.8 m
The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.
Answer:
The answer is 14.
Step-by-step explanation:
All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.
Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answer:
672 feets
Step-by-step explanation:
Using the solution diagram attached, the vertical height, h of the lighthouse ;
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 2 = h / 804
h = tan 2 * 804
h = 28.076 feets
Using h, we can obtain the distance CB :
Tan θ = opposite / Adjacent
Tan 2 = 28.076 / CB
CB = 28.076 / Tan 12°
CB = 132.08860 feets
Distance between A and B
804 - 132.08860
= 671.9 feets
