Answer:
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Step-by-step explanation:
Here are the steps I think you probably will go through.
1. Draw a line that is longer than the segment but shorter than the width of the page.
1a. Make sure this line is at least 1/2 inch from the left hand side.
2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.
3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.
The key step either two or three.The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
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:
brainly.com/question/17267403
#SPJ7
What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, … Add _________ to the previous term to find the next term
Answer:
Add -8
Step-by-step explanation:
Take the second term and subtract the first term
6-14 = -8
Check with the third and second terms
-2 -6 = -8
We are subtracting 8 from each side
(or adding -8)
Step-by-step explanation:
14, 6, -2, -10 , -18
ok so if you are starting at 14 then you would be add -8
14-8=6
6-8=-2
so on and so on..
But if you are starting from -18 then you would add 8
-18, -10,-2, 6, 14
-18+8=-10
-10+8=-2 so on and so on
so either one of those depending on which number your starting with
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.
Write an equation for the line that contains (-15, -8) and is parallel to the
graph -3x + 5y = -8
Answer:
y=3/5x+1
Step-by-step explanation:
Hi there!
We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)
parallel lines have the same slopes, but different y intercepts.
So let's first find the slope of -3x+5y=-8
We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
add 3x to both sides
5y=3x-8
divide by 5 on both sides
y=3/5x-8/5
3/5 is in the place of where m is, so that means that 3/5 is the slope of the line
we can write the equation of the new line in slope-intercept form.
Here it is so far:
y=3/5x+b
we need to find b
Because the line will pass through the point (-15,-8), we can use it to solve for b
substitute -15 as x and -8 as y
-8=3/5(-15)+b
multiply
-8=-9+b
add 9 to both sides
1=b
substitute 1 as b into the equation
y=3/5x+1
There's the equation of the line :)
Hope this helps!
Evaluate the expression below when x = 7 and y = 8.
5x2−3y
Answer:
221
Step-by-step explanation:
Substitute x = 7 and y = 8 into the expression
5(7)² - 3(8)
= 5(49) - 24
= 245 - 24
= 221
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
In 2008, the Los Angeles Times asked members of the American public whether free international trade has helped or hurt the economy. Of those surveyed, a.16 percent said free international trade hurt the economy. b.26 percent said free international trade helped the economy. c.57 percent said free international trade helped the economy. d.30 percent said free international trade hurt the economy.
Answer:
Option B
Step-by-step explanation:
Of those surveyed, 26 percent said free international trade helped the economy.
They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.
Hence, option B is correct
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 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
give four pairs of prime numbers whose difference is 2
Answer:
(3, 1) (5, 3) (7, 5) (13, 11)
Step-by-step explanation:
There are only three of them that I know of:
(7, 5) (13, 11) (19,17)
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
Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4
Answer: 23692929
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex](25x-4)^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
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]
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
pretty simple just fill in the blank from the drop down menu please !
Answer:
vertical hope this helps
Answer:
vertical, goodluck
Step-by-step explanation:
I took this
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)
Determine the number of solutions for the equation shown below.
X = X-9
A. 1
B. 2
C. 0
D. Infinitely many
Answer:
The equation has 0 solutions (answer C).
Step-by-step explanation:
Starting with x = x - 9, we subtract x from both sides. This leaves us with:
0 = -9,
which is never true.
The equation has 0 solutions (answer C).
What is the solution to the system of equations
Answer:
(0,3)
Step-by-step explanation:
solve for 2y
-X-2y= -6
2y=6+2x
substitute the given value of 2y into the equation -x-2y=-6
-x-(6+3x)= -6
solve for x
x=0
substitute the given value of X into the equation 2y=6+3x
2y=6+3×0
solve for y
y=3
the solution is (0,3)
Kiran's father is 65 years old. He is 8 years older than three
times Kiran's age. Find Kiran's age?
Answer:
let kiran's age be x
kiran's father's age is 65
acc.to ques
kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows
8+3x =65
therefore
3x =65-8
3x =57
x =57/3
x= 19 ans
so kiran's age is 19 years.
Answer:
kiran is 19 years old.
Step-by-step explanation:
kiran's father age = 65
let kiran's age be x
kiran's father is 8 years older than three times kiran's age means 8 + 3x
so according to the question equation is
65 = 8 + 3x
65 - 8 = 3x
57/3 = x
19 = x
therefore kiran's age is 19 years.
the trapezium is drawn on a centimetre grid
Answer:
21 cm²
Step-by-step explanation:
Applying,
A = (a+b)h/2............. Equation 1
Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.
From the diagram
Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)
Substitute these values into equation 1
A = 3(5+9)/2
A = 3(14)/2
A = 3×7
A = 21 cm²
can someone pls help for brainlest
Answer:
6.28km
Step-by-step explanation:
Hey,
We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.
Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.
2(π)(1km)=2kmπ.
The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.
6.28km is the answer!
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
One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.
The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?
Answer:
$1.50
Step-by-step explanation:
25% of 6 is basically just 6/4, which is 1.5.
This is money we're talking about, so the answer is $1.50
The dolphin is 20 feet below the serface of the ocean.
Answer: we wont be able to answer if there is no fill out box
Step-by-step explanation:
Answer:
Can you complete the sentence?
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
(write and solve an algebraic equation to find the measure of each angle based on the given description.)
***11. Two angles form a linear pair. The measure of one angle is 24° more than the
measure of the other angle.
Answer:
The angles are 78° and 102°.
Step-by-step explanation:
Let the one angle is y and the other number if y + 24.
The sum of the angles of the linear pair is 180°.
So, according to the question
y + y + 24 = 180
2 y = 180 - 24
2 y = 156
y = 78°
So, one angle is 78° and the other is 78° + 24° = 102°.
hi i need help with this algebra vocabulary please
Answer:
slope
Step-by-step explanation:
The slope is the rise divided by the run
Answer: The slope.
Step-by-step explanation: That's what I think.
6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2
Answer:
C. a = 6√3, b = 12, c = 6√2
Step-by-step explanation:
First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:
cos(60°) = 6/b
0.5 = 6/b
b = 6/0.5
b = 12
Now we can find a using the Pythagorean theorem:
b² = 6² + a²
12² = 6² + a²
144 = 36 + a²
a² = 144 - 36
a² = 108
a = √108
a = 6√3
And now we can find c using cos again:
cos(45°) = c/b
√2/2 = c/12
c = 12•√2/2
c = 6√2
plz help me with this
Answer:
27.7
Step-by-step explanation:
Pythagorean Theorem
[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex] (10.7 comes from half of the 21.4 side)
[tex]x^{2}[/tex] = height
