(02.01)The figure shows Triangle ABC and some of its transformed images on a coordinate grid:
Which of the four triangles was formed by a translation of Triangle ABC?
A:1
B: 2
C: 3
D:4
The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow line. Equation: y= b. The tower is 56 meters tall. How far off center is the top of the tower? The top of the tower is meters off center
Answer:
The answer is below
Step-by-step explanation:
From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).
a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through
[tex](x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Hence since it passes through (7.75, 0) and (10.75, 42), the equation is:
[tex]y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5[/tex]
b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:
y = 14x - 108.5
56 = 14x - 108.5
56 + 108.5 = 14x
164.5=14x
x = 164.5/14
x = 11.75
When the tower is 56 meters tall, the top of the tower is 11.75 m off center
10 POINTS Solve for y: 5y + 2y -4y = 30
Answer:
10
Step-by-step explanation:
5y + 2y -4y = 30
To solve first combine like terms
5y+2y-4y=3y
Then isolate your variable, do this by dividing both sides by 3.
3y=30
3y/3=30/3
Finally, simplify
y=10
How many times larger is 5 * 10 ^ 2 5 * 10 ^ -2
Answer:
Step-by-step explanation:
Substitute the given value into the function and evaluate.
5 ⋅ 10 ^2 = 500
5 ⋅ 10^ − 2 = 0.05
Hope This Helps!
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It Helps A lot! ;)
-3 ( x + 4 ) = 6 ( -x - 1 )
Answer:
x = 2
Step-by-step explanation:
First distribute:
-3 (x+4) = 6(-x-1)
-3x -12 = -6x -6
Isolate the variable:
-6 = -3x
Simplify:
-6/3 = x
x = 2
Hope this helps!
what are the x and y intercepts of the line 3x-4y=192
Answer:
x intercept (64,0)
y intercept (0,-48)
Step-by-step explanation:
What is 9*12 divided by 3
Answer:
36
Step-by-step explanation:
you would multiply and then divided
What is the value of min the figure below? In this diagram, AABD ABCD.
8
m
C
A. 136
B. 572
C. 32
Ο Ο Ο
D. V632
E. 147
o
F. 274
HELP
This is equivalent to 2*sqrt(34)
=======================================================
Explanation:
First let's find BD
The three triangles are similar, allowing for the proportion to be set up
AD/BD = BD/DC
9/x = x/8
9*8 = x*x
x^2 = 72
x = sqrt(72)
BD = sqrt(72)
Now we can use the pythagorean theorem. Focus on triangle BDC.
The legs are BD = sqrt(72) and DC = 8. Let's find the hypotenuse
(BD)^2 + (DC)^2 = (BC)^2
(sqrt(72))^2 + (8)^2 = m^2
72 + 64 = m^2
136 = m^2
m^2 = 136
m = sqrt(136)
We can simplify this but your teacher has chosen not to. If you want to simplify, then,
m = sqrt(136)
m = sqrt(4*34)
m = sqrt(4)*sqrt(34)
m = 2*sqrt(34)
The table below shows it's time to make a prototype cars to travel to different distances what is a constant rate of change in the situation in miles per hour
0.92
The table below shows it's time to make a prototype cars to travel to different distances what is a constant rate of change in the situation in miles per hour
what is the slope of the line?
Answer:
I am pretty sure it's -3/1, correct me if I am wrong!
Step-by-step explanation:
Answer:
-3/1
Step-by-step explanation
You see where the line meets the corners of the squares on the graph. The equation for slope is m=rise over run. You rise three squares, and go to the right one.
The county fair charges $3.25 per ticket for the rides. Henry bought 8 tickets for the rides and spent a total of $39.50 at the fair. Henry spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use x to represent the number of ride tickets and y to represent the total cost.
(a) Find the cost of admission to the fair. Explain how you found the cost of admission.
(b) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(c) Explain what the coefficient on x and the constant of your linear equation represent.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost per ticket = $3.25
Number of ride tickets purchased (x) = 8
Total amount spent at the fair (y) = $39.50
Henry's spending was only on ticket rides and fair admission
a) Find the cost of admission to the fair. Explain how you found the cost of admission.
Total spending = amount spent on ticket rides + cost of admission to fair
$39.50 = 8(3.25) + cost of admission
39.50 = 26 + cost of admission
Cost of admission = (39.50 - 26) = $13.50
(b) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
Since cost of admission is the same for everyone :
Total cost = 3.25x + 13.50
y = 3.25x + 13.50
(c) Explain what the coefficient on x and the constant of your linear equation represent.
3.25 = cost per ride ticket
13.50 = cost of admission to fair
A whale can stay under water for 5,399 seconds. The Guinness world record holder held his breath under water for 1,443 seconds. How much longer can the whale remain under water than the human? *
Answer:I got 3956 seconds, hope it helps.
Step-by-step explanation:
Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 wide. Jada estimates the perimeter of her garden by rounding the length and width to the nearest whole number. What equation shows her estimate?
Answer: 12.63 rounded to 13 and 3.28 rounded to 3 the perimeter is 32
Step-by-step explanation: If you need any more help Im
usually available between 9a.m - 3:50 pm
Answer
Part A: C
Part B: B
Part C: 15.91
Step-by-step explanation:
first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.
Which of the following irrational expressions are located between 6 and 8 on the number line? Select three that apply.
Answer:
A) √7 + 4
B)2√15
D)√23+√8
Step-by-step explanation:
The options are:
A) √7 + 4
B)2√15
C)8-√5
D)√23+√8
E)√80-3
Analysing A.
√7+4 = 2.64575131106459 + 4
√7 + 4 = 6.64575131106459
Analysing B
2√15 = 2 * 3.87298334620741
2√15 = 7.74596669241483
Analysing C
8-√5 = 8 - 2.23606797749978
8 - √5 = 5.76393202250021
Analysing D
√23+√8 = 4.79583152331271 + 2.82842712474619
√23+√8 = 7.62425864805890
Analysing E
√80-3 = 8.94427190999915 - 3
√80-3 = 5.94427190999915
After the above analysis;
Options A, B and D answer the question
Answer: 7+4
5/15
/80-5
Step-by-step explanation:
PLEASE HELP! This is the only question I don’t get about functions.
What is the midpoint of the segment whose endpoints are (-4, 2) and (2,-2)?
Answer:
(-1,0)
Step-by-step explanation:
Midpoint formula: (coordinate 1 + coordinate 2)/2
(-4+2)/2 = -1
(-2+2)/2 = 0 0 divided by anything =0
complete the square for x^2+5x
Answer:
(x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
Given
x² + 5x
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 5x
= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] - [tex]\frac{25}{4}[/tex]
= (x + [tex]\frac{5}{2}[/tex] )² - [tex]\frac{25}{4}[/tex]
PLEASE HELP!!
In isosceles triangle DAC, AD is congruent to AC. Kiran knows that the base angles of an isosceles triangle are congruent. What additional
information does Kiran need to know in order to show that AB is a perpendicular bisector of segment CD?
A perpendicular bisector is a line that crosses (bisects) another line segment at 90 degrees, dividing the line segment it crosses into two equal length lines
The additional information Kiran need to know to show that AB is a perpendicular bisector is the fourth option;
DB and BC are congruent
The reason for the above selection is as follows:
The information about the isosceles triangle DAC Kiran knows are;
Triangle DAC = An isosceles triangle
Segment AD is congruent to segment AC
Segment AB is a is a line from the vertex point A to the side CD of triangle DAC
The required parameter:
The information Kiran has know so as to show that AB is a perpendicular bisector of CD
Method:
Determine an attribute present in triangle DAC with line AB drawn that is due to line AB being a perpendicular bisector
Solution:
For AB to be a perpendicular bisector, then DB and BC are congruent
Given that DB and BC are congruent, we get;
AB is congruent to AB by reflexive property
Therefore, given that AD is congruent to AC, we have;
Sides AD, AB, and DB in triangle ΔADB are congruent to the corresponding sides AC, BC, and AB in triangle ΔACB, which gives
ΔADB is congruent to ΔACB by Side-Side-Side, SSS, congruency rule
Therefore, ∠ABD ≅ ∠ABC, by Congruent Parts of Congruent Triangles are Congruent, CPCTC
∠ABD = ∠ABC by definition of congruency
∠ABD and ∠ABC are linear pair angles, therefore;
∠ABD + ∠ABC = 180°
∠ABD + ∠ABD = 2 × ∠ABD = 180° by substitution property
∠ABD = 180°/2 = 90°
∠ABD = 90° = ∠ABC, therefore, AB is perpendicular to CD and AB is a perpendicular bisector of CD
Therefore, the correct option Kiran need to know in order to show that AB is a perpendicular bisector of segment CD is the option; DB and BC are congruent
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Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise. Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about point C prime composition reflected across line m Reflected across line m composition 90 degree rotation about point C prime 180 degree rotation about point C prime composition reflected across line m Reflected across line m composition 180 degree rotation about point C prime
Answer:
B
Step-by-step explanation:
it's right
Answer:
B. 90
Step-by-step explanation:
find the difference between the actual values of the two sixes in the number 6036
7.
6. Mr. Phuong stayed in a hotel room for 2
nights that cost $210. The hotel room tax
rate in the city is 12%. What is the total cost
for the hotel room? (Example 2)
Answer:
The total cost of the hotel room is $235.20
Step-by-step explanation:
Here, we want to find the total cost of the hotel room
Total cost of hotel room = Cost of hotel room for the two nights + tax
Tax = 12%
Total cost = 210 + 12% of 210
Total cost = 210 + (12/100 * 210)
Total cost = 210 + 25.2
Total cost = $235.2
The graph shows the total cost y for x bags of popcorn sold. What is the slope of the line?
Select one:
16
4
2
8
Answer:
the slope should be 4/2
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
4
1
= 4
θ =
arctan( ΔY )
ΔX
= 75.963756532074°
ΔX = 4 – 2 = 2
ΔY = 16 – 8 = 8
Distance (d) = √ΔX2 + ΔY2 = √68 = 8.2462112512353
Equation of the line:
y = 4x
When x=0, y = 0
When y=0, x = 0
Is 2 - 91 positive or negative?
Answer:
Negitive
Step-by-step explanation:
2-91= -89
Answer:
negative
Step-by-step explanation:
Find the measure of the exterior angle.
Answer:
108°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2a is an exterior angle, thus
2a = a + 10 + 44 = a + 54 ( subtract a from both sides )
a = 54
Thus 2a = 2 × 54 = 108° ← exterior angle
Negation is the opposite (denial) of a statement. *
True
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Please help!! I chose an answer but I’m not sure! DUE IN 3 MINS
Answer:
Its c
Step-by-step explanation:
Because the f(x)= 0 is on the x line
and -2, 1, or 3 only
PLEASE HELP WILL MARK BRAINLY
Rewrite 2/5 and 3/4 so that they have common denominators. Then add the fractions and simplify the sum
Answer:
Exact Form:
23/20
Decimal Form:
1.15
Mixed Number Form:
1 3/20
What does the y-intercept represent in this scenario?
Answer:
The y-intercept represents the temperature at the start, before any time has passed.
In the scenario, y intercept represents the temperature which starts from 8 °F.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
In the given graph,
x-axis shows time in hours,
And y-axis shows temperature in Fahrenheit.
Since, the y-intercepts shows the value where x=0, or the values of y-axis.
In the given graph,
The y-axis shows the temperature.
Therefore, y intercept represents the temperature which starts from 8 °F.
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Is 23 x 10^6 written in scientific notation
No , 23 x 10⁶ is not written in scientific notation.
Values that are either too huge or too little to be conveniently expressed in decimal form can be expressed using scientific notation (typically would result in a long string of digits).
It is also referred to as scientific form, standard index form, and standard form in the UK. This base ten notation is often used by scientists, mathematicians, and engineers because it can make various mathematical procedures easier.Non-zero values are written in the form in scientific notation m × 10ⁿ or where n is an integer and the coefficient m is a non-zero real number, m times ten raised to the power of n. (usually between 1 and 10 in absolute value, and always written as a terminating decimal). The real number m is known as the significand or mantissa, and the integer n is known as the exponent.So 23 x 10⁶ written in exact scientific notation is given by 2.3 × 10⁷ .
Therefore 2.3 × 10⁷ is written in scientific notation whereas 23 x 10⁶ is not in scientific notation.
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A girl scout troop hiked 5.8 kilometers southeast in 1.5 hours. What was
the troop's velocity?
O 3.9 km/h southeast
о
4.9 km/h southeast
5.8 km/h southeast
O 7.2 km/h southeast
Answer:
the answer is 3.9 km/h southeast