Complete Question:
The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A' B' C' are shown.
[tex]A = (-6, 10)[/tex]
[tex]B = (-7, 7).[/tex]
[tex]C = (-4, 6).[/tex]
[tex]A' = (2, 7).[/tex]
[tex]B' = (1, 4).[/tex]
[tex]C' = (4, 3).[/tex]
Which of the following completes the rule for this translation,
(x, y) → (x + 8, ___)?
Answer:
y - 3
Step-by-step explanation:
Given
See Complete Question
Required
Complete the rule of translation
Taking A and A' as a point of reference
[tex]A = (-6, 10)[/tex] and [tex]A' = (2, 7).[/tex]
By comparing the x coordinates of A and A'
[tex]-6 + k = 2[/tex]
Make k the subject
[tex]k = 2 + 6[/tex]
[tex]k = 8[/tex]
So, the x coordinate is translated by x + 8
Similarly,
By comparing the y coordinates of A and A'
[tex]10 + k = 7[/tex]
Make k the subject
[tex]k= 7 - 10[/tex]
[tex]k = -3[/tex]
So, the y coordinate is translated by y - 3
Hence, the complete translation is: (x + 8, y - 3)
Answer:B.y-3
Step-by-step explanation:
Draw a picture first, then use the Pythagorean Theorem to solve. Round
your answer to the nearest tenth.
A wire is stretched from the top of an 8-ft. pole, to a bracket 5-ft. from the
base of the pole. How long is the wire?
O 9.4
09.0
O 89.0
O 13
Answer:
your answer would be 9.4
Step-by-step explanation:
you'd have to plug in the numbers in the equation.
8^2 + 5^2 = c^2
64 + 25 = c^2
89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.
what type of angle is this?
How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN
must be an odd number?
a. 5,000
b. 4,500
c. 3,600
d. 500
Answer:
BStep-by-step explanation:
How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN must be an odd number?
ANSWER B: 4,500
The number of 4 digit personal identification numbers (PIN) is 4500
What is a PIN?A PIN is a security code that is used for verifying identities
There are 10 numerical digits i.e. 0 - 9
Since the 4 digit personal identification numbers (PIN) cannot begin with 0, then the first character can take any of 9 digits
The other three characters can take any of the 10 digits.
So, the number of PIN is:
PIN = 9 * 10 * 10 * 10/2
Expand
PIN = 4500
Hence, the number of 4 digit personal identification numbers (PIN) is 4500
Read more about arrangements at:
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A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.
Answer:
so it 15
Step-by-step explanation:
The perimeter of the base of a square pyramid is 16 feet and it stands 20 ft tall. Calculate the volume.
Answer: [tex]1706.67 feet[/tex]
Step-by-step explanation:
Formula: Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.
Steps: Multiply
Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
= [tex]\frac{1}{3} * 16^{2} * 20[/tex]
= [tex]1706.67 feet[/tex]
~I hope I helped you :)~
92% of x PLEASE ITS FOR A POP QUIZZ!
Answer:?
Step-by-step explanation:
An altitude ___________ lies outside a triangle. (Please explain)
A. Always
B. Sometimes
C. Never
Answer:
B) Sometimes
Step-by-step explanation:
You want to go to a movie and hope to have enough money to get popcorn
and a drink. The cost of the ticket is $12, the popcorn is $10 and the drink is
$7. How much will it cost you to go to the movie with popcorn and a drink?
Answer: $29
Step-by-step explanation: 12+10+7= 29
Answer:
$29 dollars total
Step-by-step explanation:
add 12 + 10 + 7 = 29 or the movie, drink &' popcorn :)
HELP QUICK PLS ILL GIVE BRAINLY
Answer:
1
Step-by-step explanation:
Algebraically, both sides of the equation must equal each other.
[tex]4(12x-6)=6(-4+5x)+18[/tex]
Distribute
[tex]4(12x-6)=6(-4+5x)+18\\48x-24=30x-24+18\\[/tex]
Add, subtract, multiply, or divide to isolate x.
[tex]48x-24=30x-24+18\\48x-24=30x-6\\18x=18\\x=1[/tex]
The solution to this equation is 1.
To test, you can plug in x with 1 and you will see that both sides equal each other.
A insurance salesperson earns a salary of $4,200 per month plus a commission of 3% of sales. How much must the salesperson have to sell to make an income of at least $4,500?
Answer:
x = 10,000
Step-by-step explanation:
commision earned = $4500. - $4200
commision = 300
therefore:
commision = 3% of the amount of the sales
300 = 3% of x( the price isn't known)
300 = 3/100 * x
300 = 3x /100
multiplying both sides by 100
300 x 100 = 3x/100 x 100
30000 = 3x
Divide through by 3
x = 10,000.
the amount of the sales = 10,000
______________
To check
commision = 3% of 10,000
commision = 300
A runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles). Miles 1 2 3 4 6 8 10 12 Time 7 16 30 35 57 75 106 132 What is the correlation coefficient of the set of data? Round your answer to the nearest thousandth. A. 0.599 B. 0.996 C. 0.021 D. negative 0 point 997
Asap! Thanks!
Answer:
its b
Step-by-step explanation:
The correlation coefficient of the set of data is 0.9957.
What is coefficient correlation? What is the general equation of a Straight line?Correlation coefficient measures the strength and direction of the relationship between two variables. Following is the formula to calculate the correlation coefficient -
[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
r → correlation coefficient.
[tex]$x_{i}[/tex] → values of the x-variable in a sample.
[tex]$\bar{x}[/tex] → mean of the values of the x-variable.
[tex]$y_{i}[/tex] → values of the y-variable in a sample.
[tex]$\bar{y}[/tex] → mean of the values of the y-variable.
The general equation of a straight line is -
y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles) -
Miles -
1 2 3 4 6 8 10 12
Time -
7 16 30 35 57 75 106 132
The calculations are given below -
[X - Mₓ]
- 4.750
- 3.750
- 2.750
- 1.750
0.250
2.250
4.250
6.250
Mₓ = 5.750
[Y - My]
- 50.250
- 41.250
- 27.250
- 22.250
- 0.250
17.750
48.750
74.750
My = 57.250
[X - Mₓ]²
22.562
14.062
7.562
3.062
0.062
5.062
18.062
39.062
Sum = 109.500
[Y - My]²
2525.062
1701.562
742.562
495.062
0.062
315.062
2376.562
5587.562
Sum = 13743.500
(X - Mₓ)(Y - My)
238.688
154.688
74.938
38.938
- 0.062
39.938
207.188
467.188
Sum = 1221.500
Finding [X] - Values -
∑ = 46Mean = 5.75∑(X - Mₓ)² = SSₓ = 109.5Finding [Y] - Values -
∑ = 458Mean = 57.25∑(Y - My)² = SSy = 13743.5[X] and [Y] Combined
N = 8∑(X - Mx)(Y - My) = 1221.5R Calculation
r = ∑((X - My)(Y - Mₓ)) / √((SSₓ)(SSy))
r = 1221.5 / √((109.5)(13743.5)) = 0.9957
r = 0.9957
Therefore, the correlation coefficient of the set of data is 0.9957.
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The sum of a number and -7 is equal to 40.
Write the equation
Answer:
Step-by-step explanation:
-7 + 47=40
Answer:
-7 + n = 40
Step-by-step explanation:
Whats the value of c? 60 - (3c + 4) = 4(c + 6) + c
Answer:
c=4 hope this helpss
Step-by-step explanation:
Answer and Explanation
__________________________________________________________
The value of "c" is 4.
Here's why.
__________________________________________________________
[tex]60-\left(3\cdot c+4\right)=4\cdot\left(c+6\right)+c[/tex]
What does c equal???
__________________________________________________________
Let's try using all numbers to find out what it is
[tex]60-\left(3\cdot 4+4\right)[/tex] = [tex]44[/tex]
[tex]4\cdot\left(4+6\right)+ 4[/tex] = [tex]44[/tex]
So it's 4!
__________________________________________________________
Hope this helps! <3
__________________________________________________________
PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!
Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)
Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)
Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)
Part D: f(x) = 4x - 3. Find f(5) (2 points)
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
Part A)
2(x - 3) = 3x - 3
open the parenthesis
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
subtract 2x from both sides
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
add 3 to both sides
-6 + 3 = x
-3 = x
Part B)
|2x + 6| = 8
split this into two equations:
2x + 6 = 8
&
2x + 6 = -8
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
Part C)-5(x + 1) > 30
open the parenthesis
-5x - 5 > 30
add 5 to both sides
-5x > 35
divide both sides by -5
x > -7
since you divided by a negative, flip the sign.
x < -7
Part D)
f(x) = 4x - 3
substitute x for 5
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
The local ice cream shop surveyed the customers to see which flavor of ice cream is most popular 125 people choose chocolate as their favorite which represents 25% of the customers surveyed how many total customers were surveyed A.425 B.20 C.500 D.32
Answer:
500
Step-by-step explanation:
Let there were a total of x number of customers.
As 125customers choose chocolate flavor as their favorite which is 25% of the total customers surveyed, so
25% of x = 125
0.25x=125
x=125/0.25=500
Therefore, the total number of customers surveyed is 500.
Which equation has no solution?
A. −6|x|=−18
B. −5|x|=25
C. 6|x|=0
D. 5|x|=5
Answer:
C
Step-by-step explanation:
pls someone help me I don't understand!! if correct I'll make Brainliest!!!!
LOMMON COREATHEMATICS CURRICULUM
Lesson 15 Homework 5.2
3. String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a
decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your
answer in meters.

Answer:
The total length of string needed for 17 identical decorative bottles is 35.70 meters
Step-by-step explanation:
Let us solve the question
∵ String A is 35 centimeters long
∵ String B is 5 times as long as String A
→ Multiply the length of A by 5 to get the length of B
∴ The length of string B = 35 × 5 = 175 cm
∵ Both are necessary to create a decorative bottle
∴ The length needed for 1 bottle = 35 + 175 = 210 cm
∴ Each bottle needs 210 cm to be decorated
∵ There are 17 identical bottles
→ Multiply the length needed for 1 bottle by 17
∴ The total length needed = 17 × 210 = 3570 cm
∴ The total length needed to decorate 17 bottles is 3570 cm
∵ 1 meter = 100 centimeter
→ Divide the total length by 100 to express it in meters
∴ 3570 cm ÷ 100 = 35.70 m
The total length of string needed for 17 identical decorative bottles is 35.70 meters
What is the exact value of tan(105°).
2 +V3
-2+V3
2-√3
-2-√3
The exact value of tan(105°) is -2 - √3.
What is Tangent function?Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.
Given that, we have to find the exact value of tan(105°).
We know that,
105° = 60° + 45°
tan(105°) = tan (60° + 45°)
We know,
tan (A + B) = (tan A + tan B) / (1 - tan A tan B)
So,
tan (60° + 45°) = (tan 60 + tan 45) / (1 - tan (60) tan (45))
tan 60 = √3 and tan 45 = 1
tan (60° + 45°) = (√3 + 1) / (1 - √3)
Multiplying both numerator and denominator by (1 - √3),
= (√3 + 1)² / (1 - 3)
= -(3 + 2√3 + 1) / 2
= -(4 + 2√3) / 2
= -(2 + √3)
= -2 - √3
Hence the value of tan(105°) is -2 - √3.
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What is the slope and y-intercept of -2y = -x + 6
Answer:
Slop= 1/2 (fraction not division just to make sure you know that ;-;)
Y intercept = ( 0,-3)
Step-by-step explanation: I can't really explain it since I did this years ago in 8th grade but just search up the step by step or watch a video about intercepts
Answer:
slope: 1/2
y-intercept: -3
Step-by-step explanation:
slope= rise over run of 2 points
(0,-3) and (6,0) are the points
We go up on the y axis 3 units
We go right on the x axis 6 units
rise/run= 3/6
3 ÷ 6= 0.5 or 1/2
y intercept: I graphed on desmos
It is the value when x= 0
what is 179.9526 rounded to the nearest tenth
Answer:
180.0
Step-by-step explanation:
Answer:
179.9526 rounded to the nearest tenth is 180.0
Step-by-step explanation:
Is the following relation a function
Answer:
no
Step-by-step explanation:
becuase there are multipe x values that are the same
help please !!!! Please !!!!
Answer:
child byeee kid jdhuwkjikw
Step-by-step explanation:
SOMEONE PLSSS HELP ME!!!!
Three of the sisters decide they would like to save money and get dessert elsewhere. If they all order grilled cheese sandwiches, then what is the maximum amount of money they can spend on dessert?
If a circle has more than one radius, they are all the same distance from the center to the edge.
True or False
THE ANSWER IS FALSE IM PRETTY SURE
Answer:
True
Step-by-step explanation:
All radii are half of a diameter.
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y = 400x + 1000 based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answer:
starting amount in his savings account
Step-by-step explanation:
5. Barkly Doghouses increased their prices by 10%. Complete the chart below to show their new prices.
Answer:
where is the chart?
Step-by-step explanation:
A vanilla cake has a diameter of 8 inches. What is the radius?
Answer:
4
Step-by-step explanation:
d = 8 inches
r = 8/2 = 4 inches
Answer:
4 inches.
Explanation:
If the diameter is a circle, divide the diameter by two and you will have the answer of 4. This gives you the radius.
8 / 2 = 4
Hope this helps. Have a wonderful day.
What is the GCF? 3x2-2x
Answer:
1
Step-by-step explanation:
Everything can be multiplied by 1 in this situation so 1 is the greatest common factor
please help me so i dont fail