The perpendicular bisector on a line segment AB is in the attached image.
Given:
Segment ABTo Construct:
The perpendicular bisector to segment AB.Solution:
A segment is a line with two ends with a specific length.
A perpendicular bisector is a line intersecting the other line segment into two equal lengtsh at an angle of 90 degrees.
Steps of construction:
With help of unmarked straightedge draw segment,AB.Open the compass more than half of the length of the AB segment and from point A, draw an arc above and below AB.Now, with that same compass from B draw arcs cutting the previous arcs made above and below the AB label them C and D.Draw a straight line from C to D which will be the perpendiular bisector of segemnt AB.The perpendicular bisector to a segment AB is in the image attached.
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Answer:
Step-by-step explanation:
To create a perpendicular bisector, you need a compass, a straightedge, and a pencil. As well as the line segment AB drew down.
1> You start by opening the compass and stretching it to a width greater than half the length of AB.
2> Then you simply place one point of the compass on the line segments A. From here, you move the compass and draw arcs above and below the line AB.
3> Without moving the compass measure, remove it from point A and place it onto point B. You basically repeat step 2 by drawing arcs above and below the line again.
4> If you've done it right, the arcs should be in the middle, X and Y, and using a straightedge/ruler you draw a line that goes vertically through where they connect.
and that should be your perpendicular bisector using segment AB.
Find the linear function f if f^-1(2)=-1 and f^-1 (-9)=3
Answer:
[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]
Step-by-step explanation:
We want to find the linear function given that:
[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]
Recall that by the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]
In other words, f(-1) = 2 and f(3) = -9.
This yields two points: (-1, 2) and (3, -9).
Find the slope of the linear function:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]
From point-slope form:
[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]
Hence:
[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]
We can simplify if desired:
[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
Answer: f(g) = 895 + 30g
-----------------------------------------------------------------
He paid $2065. Number of games he played:
-----------------------------------------------------------------
2065 = 895 + 30g
30g = 2065 - 895
30g = 1170
g = 39
-----------------------------------------------------------------
Answer: He played 39 games.
Step-by-step explanation:
Number of games anton played is 39; the equation is 2065 = 895 + 30G
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as system of two equations as:
A = C\\ B=C
Solution to this system will give us the solution to the considered equation.
Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
The equation will be f(g) = 895 + 30G
Amount anton paid = $2065.
Number of games he played;
2065 = 895 + 30G
30g = 2065 - 895
30g = 1170
G = 39.
Therefore, the solution of the equation os 39
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Need help!!!!
Will earns $6.50 per hour and time-an-a-half for all hours over 40.
Find his weekly pay if he worked 47 hours.
a. $305.50
b. $328.25
c. $269.75
d. $68.25
Answer:
b
Step-by-step explanation:
Use the diagram to the right.
If AD = 17 and AC = 2y - 6, find the value of y. Then find AC
and DC.
Step-by-step explanation:
if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.
And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34
AC=2y-6
therefore
34=2y-6
28=2y and y=14
Answer:
Step-by-step explanation:
What is the volume of the rectangular solid?
12 cubic feet
15 cubic feet
5 ft
25 cubic feet
50 cubic feet
2 ft
5 ft
Mark this and retum
Save and Exit
Next
Submit
Answer:
I need to see the rectangular solid
On the first day of December, 34,789 people went to the mall. On the second day 63,587 people went to the mall. How many people went to the mall over the two days
Answer:
98376
Step-by-step explanation:
Solve the following inequality: |x – 4|> 6
Answer:
x>10 or x< -2
Step-by-step explanation:
There are two solutions, one positive and one negative, remembering to flip the inequality for the negative
x-4 >6 or x-4 < -6
Add 4 to each side
x-4+4 > 6+4 or x-4+4 < -6+4
x>10 or x< -2
Help me in math please this is my last question btw
Answer:
A) y=-7
Step-by-step explanation:
we talking about the better pond right?
Critical Thinking Point M is the midpoint of AB. The coordinates of point A are
(-8, 3) and the coordinates of Mare (–2, 1). What are the coordinates of point B?
Answer:-1,4
Step-by-step explanation:
3. Amelia is at the mall buying more
school clothes. She purchases one pair
of jeans for $32.00 and 2 tops for
$23.99 each. If sales tax is $5.80, what
was the final cost of her clothes
What is the answer?
Answer:
The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.
Step-by-step explanation:
To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like $[tex]32.00+2([/tex]$[tex]23.99)=x[/tex]. Next, simplify the equation, which will look like $[tex]32.00+[/tex]$[tex]47.98=x[/tex]. Then, solve the equation, which will look like $[tex]79.98=x[/tex]. The final cost of Amelia's clothes without sales tax will be $79.98.
To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like $[tex]32.00+2([/tex]$[tex]23.99)+[/tex]$[tex]5.80=x[/tex]. Next, simplify the equation, which will look like $[tex]32.00+[/tex]$[tex]47.98+[/tex]$[tex]5.80=x[/tex]. Then, solve the equation, which will look like $[tex]85.78=x[/tex]. The final cost of Amelia's clothes with sales tax will be $85.78.
In the following expression, both A and B are variables that can take positive values.
A+2/B
Which of these actions will cause the expression's value to increase?
Choose 2 Answers
A.
Keeping A constant and increasing B
B.
Keeping A constant and decreasing B
C.
Increasing A and keeping B constant
D.
Decreasing A and keeping B constant
I think the answer is A and C!
Answer:
B) Keeping A constant and decreasing B
C) Increasing A and keeping B constant
Step-by-step explanation:
I did it on Khan Academy :)
Alguien me ayuda con esto?
Answer:
x=10
Step-by-step explanation:
10 a 8 son dos, entonces 14 ax es 4
Answer:
La explicación sería:
//////////////////////////
=> 9 * 2 + 4/2 = 20
=> 18 +2 =20
=> 20 =20
//////////////////////////
=> 5*2 + 8/2 = 14
=> 10 +4 =14
=> 14 =14
//////////////////////////
=> 3*2 + 10/2 = x
=> 6 + 5 = x
=> 11 = x
6-(-11) how to solve
Hi ;-)
Calculate
[tex]6-(-11)=6+11=\boxed{17}[/tex]
Answer:
17
Step-by-step explanation:
6-(-11)
Subtracting a negative is like adding
6+11
17
If f(x)= 2|x|+3x, then the value of f(-1) is
Answer:
-1
Step-by-step explanation:
f(-1) = 2|-1| + 3(-1)
|-1| = 1
=> f(-1) = 2(1) - 3
=> f(-1) = 2 - 3
=> f(-1) = -1
What the answer I don’t get Mary at all
Answer:
1
Step-by-step explanation:
By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2. We then evaluate the brackets, which are 3 / 2 = [tex]\frac{3}{2}[/tex]. Finally, [tex]\frac{3}{2}[/tex] * [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{6}[/tex] or 1.
7/9+6/8+6/3=
I really need the answer
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.
1:
7/9+6 = 7/15
2:
8+6/3 = 14/3
3:
[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]
Then take that in chunks: 7/14 and 15/3.
7/14 = 1/2
15/3 = 5/1
Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].
1/5 = .2
2/3 ≈ .6667 so we'll keep writing it as 2/3
[tex]\frac{\frac{.2}{2}}{3}[/tex]
.2/2 = .1, so:
[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]
Help with this please now
Answer:
ok dude
Step-by-step explanation:
Wʜᴇʀᴇ ɪs ǫᴜᴇsᴛɪᴏɴ?
Answer:
what help l don't understand please sorry I didn't help you explain your problem l will help you
Let A={5,8}, B={p,q}, C={r,v} How many elements are in A×B?
There are 4 elements in the set A* B
How to determine the number of elements in A * B?The sets are given as:
A={5,8}
B={p,q}
C={r,v}
The expression A * B implies that:
A * B = n(A) * n(B)
Where n( ) implies that the number of elements in......
So, we have
A * B = 2 * 2
This is so because sets A and B have 2 elements each
Evaluate the product
A * B = 4
Hence, there are 4 elements in the set A* B
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Hi, Can you solve it?
Answer:
57
Step-by-step explanation:
Jaya's mother is 5 years more than three times her age. Find Jaya's age if her mother is 44 years old.
Answer:
Jaya is 13 years old.
Step-by-step explanation:
Let's assume Jaya's age to be x years old.
Jaya's mothers age is (3*x)+5.
3x+5=44
3x=39
x=13.
Plsssssssssssss help me
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Answer:
6(3) - 4 - 3²
Step-by-step explanation:
(g - f) = 6x - (4 - 2x²)
= 6x - 4 - 2x²
and when we replace x with 3 ,it will be
6(3) - 4 - 3²
hope this helps
Answer:
Basically what the person on top of me said
Step-by-step explanation:
Got it right !
Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 2/3 of an hour
Answer:
Answer:
If: 153 words = 3 minutes :
Then: 1 minute = 153 3 = 51 words
10 minutes is:
10 × 51 = 510
Ben can type 510 words in 10 minutes
Two jets leave an airbase at the same time and travel in opposite directions, One jet travels 71mi/h faster than the other. If two jets are 7014 miles apart after 6 hours what is the speed of each jet?
jet1 = 549 mi/h
jet2 = 620 mi/h
x= jet1
x + 71 = jet2
6 hours
6 * x
6 * x + 71
6x + 6x + 426 = 7014
12x = 7014 - 426
12x = 6588
x = 6588/12
x= 549
x + 71 = 620
wyzant
How do Curves A and B compare to each other with respect to f and f ′?
The answer cannot be determined.
f: Curve B, f ′: Curve A
f: Curve A, f ′: Curve B
Neither Curve A nor Curve B are derivatives of each other.
It's likely that curve A is f and curve B is f '.
The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.
what is the zero turn for the arithmetic sequence 128,96,64,32
You are falling by [tex]32[/tex],
[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]
In general your sequence is defined as,
[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].
The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].
If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].
If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].
The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].
Hope this helps :)
simplify 5 p - 3 - (1 + p) +( 2 - p)
Answer:
3p-2
Step-by-step explanation:
................
Answer:
3p - 2
Step-by-step explanation:
[tex]5p - 3 - (1 + p) + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + (2 - p)[/tex]
[tex]5p - 3 - 1 - p + 2 - p[/tex]
[tex]5p - 1p - p[/tex][tex]5p - 1p - 1p[/tex][tex](5 - 1 - 1)p[/tex][tex] = 3p[/tex][tex] - 3 - 1 + 2[/tex]➡️ [tex] - 4 + 2[/tex]
➡️ [tex] = - 2[/tex]
[tex] = 3p - 2[/tex]
Find the differential of the function w=x^(4)sin(y^(4)z^3)
Step-by-step explanation:
[tex]w = x^4\sin(y^4z^3)[/tex]
The differential [tex]dw[/tex] is
[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]
Ryan, a consumer electronics salesperson, earns a base salary of $1100 per month and a commission of 8% on the amount of sales he makes. One month Ryan received a $1492 paycheck. Find the amount of his sales for the month.
A perpendicular bisector runs through the middle of a line segment and splits into
Answer:
B two congruent pieces
Step-by-step explanation:
Perpendicular means at a 90 degree angle
bisector means it divides in it half, into two equal pieces