Answer:
➢ Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
Answer:
No, they are not
Step-by-step explanation:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane.
If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
Middletown University charges $29,000 for tuition. If they raise their tuition by 5% each year,
how much will tuition be in 3 years?
Answer:
$33,350
Step-by-step explanation:
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$29000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=29000\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=29000(1.05)^3\implies A\approx 33571.13[/tex]
Select the correct answer from the drop-down menu.
C and D
because root(4) = 2
C = 2 1
1 2
2 1
-6 + 3m + 2 - M + 8 simplified
Answer:
2(m+2)
Step-by-step explanation:
[tex]=-6 + 3m + 2 - m + 8\\\\=4+2m\\\\=2m+4\\\\=2(m+2)[/tex]
[tex] \sf \dashrightarrow \: - 6 + 3m + 2 - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: - 4 + 3m - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 3m - m + 4[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 2m + 4[/tex]
[tex] \\ [/tex]
[tex] \sf \dashrightarrow \: 2(m + 2)[/tex]
Which set of ordered pairs represents a
function?
{(6,8),(-4,2), (-7,4), (-7,8)}
{(0,9), (3,5), (0, -4), (6,2)}
{(6,0), (-7,2), (4, 8), (9,2)}
o {(-5,5), (0, -3), (-5, -2), (6,8)}
Submit Answer
help me please
keeping in mind that a function is a set that has no X-repeats, namely the x-coordinate on every pair is never repeated, let's check these ones.
Check the picture below.
What is the value of the expression 9 + (1/2) with a power of 4 • 48? A. 12 B. 15 C. 17 D. 18
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]9+(\frac{1}{2})^4\times48[/tex]
In order to find this, answer we use order of operations and solve.
[tex]9+(\frac{1}{2})^4\times48[/tex]
[tex]\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}[/tex]
[tex]9+\frac{1}{16} \times48[/tex]
[tex]\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3[/tex]
[tex]9+3[/tex]
[tex]9+3=12[/tex]
[tex]=12[/tex]
Which means your answer is option A or "12."
Hope this helps.
Find a polynomial f (x) of degree 4 that has the following zeros.
0, -8 (multiplicity 2), 7
Leave your answer in factored form.
Answer:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
Step-by-step explanation:
The zeros of the polynomial are all the values of [tex]x[/tex] for which the function [tex]f(x)=0[/tex]
Therefore,
[tex]x = 0[/tex]
[tex]x = -8 \implies x + 8 = 0[/tex] (twice)
[tex]x = 7 \implies x -7 = 0[/tex]
Write the polynomial as a product of its factors:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
13/x = 2/2-x
enter the value of x that makes the equation true
Answer:
26/15
Step-by-step explanation:
13/x= 2/2-x
the next step from here is to cross multiply and when we do that it's looks like this
13(2-x)=2*x
then we multiply
26-13x=2x
we then collect like terms
26=15x
therefore x= 26/15
we can leave our answer in this format or convert it to mixed fraction or decimal but its best to leave it in this format
Two or more expressions with an Equal sign is called as Equation. Value of x is 26/15 for equation 13/x=2/(2-x)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is
13/x=2/(2-x)
Apply cross multiplication
13(2-x)=2x
Apply Distributive property on LHS side
13(2)-13x=2x
26-13x=2x
Add 13x on both sides
26-13x+13x=2x+13x
26=15x
x=26/15
Hence value of x is 26/15 for equation 13/x=2/(2-x)
To learn more on Equation:
https://brainly.com/question/10413253
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Answer the question velow
Graph y=4x-1
y=4x-1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 23.8px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">y=4x−1y=4x-1
Use the slope-intercept form to find the slope and y-intercept.
Slope: 4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">44
y-intercept: (0,-1)" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">(0,−1)(0,-1)
Any line can be graphed using two points. Select two x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">xx values, and plug them into the equation to find the corresponding y" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position:
3/4 -2 1/2 please show step by step process
Answer:
-7/4 or -1 3/4
Step-by-step explanation:
Step 1. Convert into improper fraction.
2 1/2 = 5/2
Step 2. Convert the fractions into common denominator.
5/2 = 10/4
Step 3. Subtract.
3/4 - 10/4 = -7/4
Image attached! Please help
Really simple algebra equation!
Giving 50points!
Answer:
a=10
Step-by-step explanation:
use a^2+b^2=c^2
(a+2)^2+(a-5)^2=(a+3)^2
a^2+4a+4+a^2-10a+25=a^2+6a+9
2a^2-6a+29=a^2+6a+9
a^2-12a=-20
a^2-12a+20=0
quadratic formula→(12+/-8)/2
a=10 or 2
2 is not an option because 2-5=-3 which isn't possible in this case.
so a=10
Apply Pythagorean theorem
(a-5)²+(a+2)²=(a+3)²a²-10a+25+a²+4a+4=a²+6a+9a²-6a+29=6a+9a²-12a+20=0a²-10a-2a+20=0a(a-10)-2(a-10)=0(a-2)(a-10)=0a=2,10There is a side a-5 so 2 is not a answer
a=10If two cards are randomly drawn from a deck of ordinary playing cards, one at a time, with replacement, what is the probability of obtaining no aces
Answer:
144/169
Step-by-step explanation:
There are 52 cards, 4 are aces, so the probability of not getting ace is 48/52, so we square it, or multiply it by itself to get 144/169
Kiara sets up a passcode on her smart phone, which allows only eight-digit codes. A spy sneaks a look at Kiara's smart phone and sees her fingerprints on the screen over
eight numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded
to the nearest millionth.
Probabilities are used to determine the chances of events
The probability the spy is able to unlock the smart phone on his first try is 0.00000001
How to determine the probabilityThe length of the password is given as:
L = 8
Each of the digit in the password can take any of digits 0 - 9 (i.e. 10 digits)
So, the number of possible password is:
[tex]n = 10^8[/tex]
The probability that the spy unlocks the phone is:
[tex]p =\frac 1n[/tex]
So, we have:
[tex]p = \frac 1{10^8}[/tex]
Simplify
[tex]p = 0.00000001[/tex]
Hence, the probability the spy is able to unlock the smart phone on his first try is 0.00000001
Read more about probability at:
https://brainly.com/question/25870256
An infinitely large table is covered by circular disk of equal radii. Find the maximum proportion of the table that is covered.
Answer:
see below
Step-by-step explanation:
1. In a concert hall, the number of seats in each row increases as you move farther from the stage. There are
the first row, 38 seats in the second row, and 45 seats in the third row.
a) If this pattern continues, determine what type of sequence this represents. Then write a function rule in simplified
form that can be used to find the number of seats in the nth row. Be sure to use the correct notation you have
learned this unit. Show ALL work.
b) Use the rule to determine which row has 290 seats. Show ALL work.
According to the situation described, we have that:
a) The arithmetic sequence that gives the number of seats in the nth row is given by:
[tex]a_n = 24 + 7n[/tex]
b) The 38th row has 290 seats.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Item a:
The first row has 31 seats, the second has 38, the third has 45 and so on, hence:
It is an arithmetic sequence.The common difference is d = 7.The first term is [tex]a_1 = 31[/tex].Then, the rule is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = 31 + 7(n - 1)[/tex]
[tex]a_n = 24 + 7n[/tex]
Item b:
This is the nth row, for which [tex]a_n = 290[/tex], hence:
[tex]a_n = 24 + 7n[/tex]
[tex]290 = 24 + 7n[/tex]
[tex]7n = 266[/tex]
[tex]n = \frac{266}{7}[/tex]
[tex]n = 38[/tex]
The 38th row has 290 seats.
You can learn more about arithmetic sequences at https://brainly.com/question/26366645
The length of two sides of the triangle measure 8.3 inches and 9 inches. What is a possible length of the third side in inches?
solve for x,y, and 15
Answer:
27
Step-by-step explanation:
x + y = 15 (gallons) (1)
0.25*x + 0.10 * y = 0.15 * 15 (2)
Multiply 100 on (2):
25x + 10y = 15
Divede by 5
5x + 2y = 3 (3)
From (1) y = 15 - x
so 5x + 10*(15 - x) = 15
5x + 150 - 10x = 15
-5x = 15 - 150 = -135
x = 135/5 = 27 (gallons)
given the information in the picture which trigonomic identity can be used to solve for the height of the blue ladder that is leaning against the building
Answer:
cosine rule - cos = [tex]\frac{a}{h}[/tex]
Step-by-step explanation:
Here the ladder is acting as hypotenuse and base as adjacent.
Formula: cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex]
And we know
[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \tt\hookrightarrow tan47=\dfrac{P}{30}[/tex]
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A fire department's longest ladder is 110 feet long, and the safety regulation states
that they can use it for rescues up to 100 feet off the ground. What is the maximum
safe angle of elevation for the rescue ladder?
Also can you guys draw a picture of the right triangle and show work
See the attached picture for the answer:
Answer:
The maximum angle they can use the ladder is 65.38º
Step-by-step explanation:
Sine law allows sinA/a = sin B/b = sin C/c
Reference the drawing attached
sin 90/110m = sinB/100m
1/110m = sinB/100
multiply both sides by 100
100/110 = sinB
divide each side by 10
10/11 = sinB
find inverse sin of both sides
sin^-1(10/11) = B
65.38º = B
HELP ME ASAP
Question is below!!
Answer:
E
Step-by-step explanation:
because its going up by 1's and so it would be 5x6/2 =15
what the y-intercept for -7x+2y=10
Answer:
See below.
Step-by-step explanation:
-7x+2y=10
/2 /2 /2
-7/2x+y=5
+7/2x +7/2x
y=7/2x+5
The y-intercept is 5.
-hope it helps
Find the value of x for which PQ II RS
Answer:
x=3/2
Step-by-step explanation:
[tex]\cfrac{3x-1}{21} =\cfrac{2x-2}{12}[/tex]
[tex]36x-12=42x-21[/tex]
[tex]6x=9[/tex]
[tex]x=\cfrac{3}{2}[/tex]
Hope it helps! :)
What is the slope-intercept form of this equation? Show all your work. 6x + 2y = 12
from converting the linear equation 6x - 2y = 12 and slope intercept form we have to transpose terms to get the value of y hence equation and slope intercept form is y = 3x - 6.
144ab – 108b2
Question 12 options:
36(4ab – 3b2)
36b(4a – 3b)
12b(12a – 9b)
36a(4b – 3b2)
Answer:
114ab-108b2=
collect like terms
114-108=6
divide by the coefficient of the number
b÷2=b
=6÷2=3
b=3
100 points, put nonsense, get reported. Susan wants to build a floor to put at the bottom of her tree house. She made the scale drawing below using a scale of 2.5 in = 3 ft. Enter the length Susan must use for the floor.
Divide the length of the scale drawing by the scale (2.5) then multiply that by the scale feet (3)
11 inches / 2.5 = 4.4
4.4 x 3 = 13.2 feet
Answer: 13.2 feet
Total 2.5in pairs
[tex]\\ \tt\hookrightarrow \dfrac{11}{2.5}[/tex]
[tex]\\ \tt\hookrightarrow 4.4[/tex]
Now it is equal to 3ftSo length=4.4(3)=13.2ft
Snow fell from 6:30 a.m. to 11:00 a.m, accumulating at a constant rate. At 8:00 a.m., the snow was 8 inches deep. By 11:00 a.m., it was 20 inches deep.
How much snow fell each hour?
inches
How much snow was already on the ground at 6:30 a.m.?
inches
Complete the equation that describes the relationship between the depth of the snow in inches, S, and the elapsed time in hours, t.
Write your answer using whole numbers or decimals rounded to the nearest tenth
The first question answer is 4
PLS HELP Answer this question for me pls its for math 6th grade
Answer:
it shows that customer A's account balance has changed the most.Step-by-step explanation:
look at the file customer A is your answerSolve for x.
−5x−8>22
Enter your answer in the boxes to correctly state the solution.
Answer:
x < -6
Step-by-step explanation:
-5x - 8 > 22
Add 8 to both sides: -5x > 30
Divide both sides by 5: -x > 6
Divide both sides by -1 (reverse sign): x < -6
Answer:
x < -6
Step-by-step explanation:
First we want to move all terms not containing x to the right side
-5x > 22 + 8
-5x > 30
Then we want to divide
-5x/5 < 30/-5
30/-5
x < - 6
can some one please help me on this and make it quick im leeving for a long trip here soon.
Answer:
364.46
Step-by-step explanation:
First we need the height of the cone
so we divide the cone to two equal parts that means the adjacent 5 inches will be divided into two to give 2.5
then we use get a triangle from the cone and that's how we find our height using pythagoras theorem
hypotenuse Square = opposite Square + adjacent Square
7^2 = x^2 + 2.5^2
therefore our height is 6.53
now to get the surface area of the cone we use the formula
pi×r( r + Square root of r^2 + h^2
To visit the manila Zoo, 11 adults and 5 Children have to pay 270 whereas 14 adults and 9 children have to pay 370? Find the total amount a family of 2 adults and 3 children has to pay to visit the zoo.
Step-by-step explanation:
let adults be x and childrens be y
a/q
11x + 5y = 270
14x + 9y = 370
→ x = -5/11y + 270/11 ; 14x + 9y = 370
→ 14(-5/11y + 270/11) + 9y = 370
→ y = 10
→ x = -5/11 × 10 + 270/11
→ x = -50/11 + 270/11
→ x = 20
therefore, we got
x = 20, y = 10
each adult have to pay 20 and each children have to pay 10
so,
2 × 20 = 40
3 × 10 = 30
40 + 30 = 70
for a family of 2 adults and 3 children they have to pay 70.
hope this helps you dear.
PLEASE HELP WITH THIS MATH QUESTION
Answer:
4
Step-by-step explanation:
the amplitude is the distance from the crest to the trough of one wave
in this case, from 2 to -2