Answer:
(-5, 4)
(-4, 5)
(-2, 5)
(-10, 4)
Step-by-step explanation:
Given points:
(-5, -1)(-4, -2)(-2, -2)(-10, -1)To translate a point 3 units down, subtract 3 from its y-coordinate.
To reflect a point across the x-axis, the y-coordinate becomes its additive inverse.
Therefore, the mapping rule is:
[tex](x,y) \rightarrow (x, -(y-3))[/tex]
Translated points:
(-5, -1) → (-5, -(-1-3)) = (-5, 4)(-4, -2) → (-4, -(-2-3)) = (-4, 5)(-2, -2) → (-2, -(-2-3)) = (-2, 5)(-10, -1) → (-10, -(-1-3)) = (-10, 4)Learn more about translations here:
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You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $28. Club B offers membership for a fee of $23 plus a monthly fee
of $29. After how many months will the total cost of each health club be the same? What will be the total cost for each club?
Answer:
Step-by-step explanation:
Can someone pls help me I need to know if I am correct
If you have the fraction - 8/5 (the negative sign is not on either 8 or 5) it means that both numbers are negative right?
Answer:
Yes, that means the whole fraction is negative.
Also for future note, if the negative is on the top or bottom, the fraction will still be negative. Unless it says to simplify.
Hope this helps!
Write in point-slope form an equation of the line through each pair of points. (-4,10) and (-6,15)
The equation of the line in point-slope form, which passes through the pair of points located at (-4 , 10) and (-6 , 15), is y - 10 = -5/2(x + 4).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (-4 , 10) and (-6 , 15).
m = (y2 - y1)/(x2 - x1)
m = (15 - 10)/(-6 - -4)
m = 5/-2
m = -5/2
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = -5/2 and (x1 , y1) = (-4 , 10)
(y - 10) = -5/2(x - -4)
y - 10 = -5/2(x + 4)
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Write the component form of →PQ .
The vector PQ is given by the addition of the components of the two vectors i.e. →PQ = →Q + →P
Vector is a quantity having magnitude as well as direction and is used to denote the mathematical and geometrical direction of the given quantity.
For example : Velocity, Displacement etc.
Let us first assume that,
P(x,y,z) and Q(u,v,w)
Now, we need to find the vector PQ
→PQ = →Q + →P
= (ui + vj + wk ) + (xi + yj + zk)
= (ui + xi ) +(vj + yj) + (wk +zk)
= (u+x) i + (v + y) j + (w + z)k
= →PQ
For example : Let P(1,2,1) and Q ( -1, -2,4)
Then, →PQ = →Q + →P
= (1i + 2j + 1k ) + (-1i + (-2)j + 4k)
= (1-1) i + (2 -2) j + (1 + 4)k
= oi+0j +5j
= 5j
Hence, the vector PQ is given by the addition of the components of the two vectors.
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For the past 4 years, Jesse has grown 3 inches each year. He is now 15 years old and is 5 feet 6 inches tall. He predicts that when he is 20 years old, he will be 6 feet 9 inches tall. What would you tell Jesse about his prediction?
He estimates that he will stand 6 feet 9 inches tall when he is 20 years old. His prediction is correct.
How to check Jesse's prediction?Given: Growth per year = 3 inches
Height at 15 yrs of age = 5'6''
Height at 20 yrs of age = 6'9''(predicted)
We know that Jesse grows 3 inches every year.
In 5 years(15yrs - 20yrs) his growth = 5 × 3 = 15 inches.
At 15 years(present) height = 5'6''
At 20 years (future) height = 5'6'' + 15'' = 6'9'' (since, 1ft = 12 inches)
Thus, Jesse's prediction is correct
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Solve for d.
19d -16d-d-d-1 = 12
Answer:
d = 13
Step-by-step explanation:
19d - 16d - d - d - 1 = 12
19d + (-16 - 1d - 1d) - 1 = 12
19d + (--18d) - 1 = 12
19d - 18d - 1 = 12
1d = 12 + 1
d = 13
Check:
19*13 - 16*13 - 13 - 13 - 1 = 12
247 - 208 - 26 - 1 = 12
39 - 27 = 12
For all x,(x-7)²= ?
A x²-49
B x² + 49
C x² - 14x - 49
D x² - 14x + 49
E x² + 14x - 49
Answer:
I'm pretty sure the answer is E
p=a+b solve for letter b
The value of b is b=p-a.
Given the equation is p=a+b.
A pair of inverse operations is defined as two operations to be performed on a number or. variable, always returns the original number or variable And inverse means opposite.
equation means a mathematical statement with the symbol "equal" between two expressions of equal value. This is represented by '='.
The given equation is p=a+b.
Now, we will apply the inverse operations on both sides.
Subtract a from both sides, we get
p-a=a+b-a
Now, we will simplify the above equation, we get
p-a=b
Hence, the value of b from the given equation p=a+b is b=p-a.
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A brick path is being installed around a circular pond. The pond has a circumference of 68 feet. The outer edge of the path is going to be 4 feet from the pond all the way around. What is the approximate circumference of the path? Round to the nearest hundredth.
The approximate circumference of the path Round to the nearest hundredth is 93.12 feet.
What is circumference of circle?A circle's outside boundary is called the circumference and can be measured, or calculated, by using
Circumference = 2πr
where r is the radius of circle.
Now it is given that,
circumference of pond = 68 feet
⇒ 2πr = 68
⇒ r = 34/π
⇒ r = 10.82 feet
Now it is also given that, The outer edge of the path is going to be 4 feet from the pond all the way around
⇒ Radius of path, R = r + 4
⇒ Radius of path, R = 10.82 + 4
⇒ R = 14.828
So,circumference of the path = 2πR
⇒ circumference of the path = 2π*14.828 = 93.119 feet
⇒ circumference of the path Round to the nearest hundredth = 93.12 feet
Thus, the approximate circumference of the path Round to the nearest hundredth is 93.12 feet.
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What is the solution of the equation 3⁻ˣ = 1/243 ?
Answer:
well done .....I hope it's helpful
What is the area of the figure below?
The area of the figure is 289 square unit
What is Area of a Rectangle ?The area of a rectangle can be calculated by multiplying the length and the width of the shape.
Given that
L = 20 - xB = 3x + 8A = LBBut the length and the width have two equal opposite sides. The shape is a square
20 - x = 3x + 8
20 - 8 = 3x + x
12 = 4x
x = 12/4
x = 3
L = 20 - 3 = 17
B = 3(3) + 8
B = 9 + 8
B = 17
A = 17 x 17
A = 289 square unit
Therefore, the area of the figure is 289 square unit
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The difference of a number x and 5 is 6
fewer than twice the number x. (hint:
what type of phrase does "fewer than" or
"less than" mean?)
WILL GIVE BRAINLIEST! NEED HELP!!!
Answer: x=1
Step-by-step explanation:
x-5=2x-6
x-5+6=2x-6+6
x+1=2x
x-x+1=2x-x
2x-x=1
x=1
Answer: x = 1
Step-by-step explanation:
fewer or less than means minus -
difference of x and 5 = x - 5
6 fewer = - 6
twice the number of x = 2x
x - 5 = 2x - 6
x = 2x - 6 + 5
x -2x = - 6 + 5
- x = - 1
x = 1
checking
1 - 5 = 2(1) - 6
4 = 2 - 6
4 = 4
Given point Y is between X and Z, where XY = 12 and XZ = 48, What is YZ?
Answer: 36
Step-by-step explanation:
XZ=XY+YZ
48=12+YZ
48-12=12-12+YZ
YZ=48-12
YZ=36
A scientist was in a submarine below sea level studying oceam life. Over the next ten minutes, she ascended 61.9 feet. How many feet had she been below sea level, if she was 21.6 feet below sea level after she ascended?
You can add the distance she travelled upwards to her new distance to get her old distance.
Essentially, 21.6 + 61.9 = 83.5.
This means she was 83.5 feet below sea level, before ascending 61.9 feet to 21.6 feet below sea level.
Answer: she was 83.5 feet below sea level, before ascending 61.9 feet to 21.6 feet below sea level.
Step-by-step explanation:
Order the numbers from least to greatest. Put the lowest number on the left. 6.826 6.628 6.286
The ordering of the number is 6.286 , 6.628 , 6.826
According to the question we have been given three numbers which are
6.826 , 6.628 and 6.286
We need to arrange in ascending order that is from least number to the greatest number.
when we arrange number in ascending order for decimal number we first look at the number before the decimal point then if they are all same then we look at the number after the decimal point. After the decimal point the first number is compared which is closest to the decimal point.
If we look into this question the number before decimal points are all same thus we will look the numbers after the decimal point. Therefore we will arrange according to the first number after the decimal that is 8 , 6 and 2
Hence the ordering the number we get:
6.286 , 6.628 , 6.826
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It takes Andrea 12.5 hours to drive 875 miles. What was her average Speed?
Answer:
70 miles per hour
Step-by-step explanation:
take 875mi and divide by how long it took: 12.5 hours
Find the value of A if the 4-digit number 3A5A is divisible by 15.
The value of A in the 4-digit number is 5.
What is the value of A?Given the information provided in the question, the 4-digit number is a multiple of 15. A multiple of a number is the product of an integer and that number.
The multiple of a number is divisible by that number. For example, a multiple of 2 is 20. This is because 2 multiplied by 10 is equal to 20 and 20 is divisible by 2 to yield a value of 10.
The multiplies of 15 either have a unit value of 5 or 0.
If A is 5, the number becomes 3555.
3555 / 15 = 237
If A is 0, the number becomes 3050
3050 / 15 = 203.333
Thus, the value of A is 5 because 3555 is divisible by 15.
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Δ A B C has vertices A(-3,3), B(2,5) , and C(4,-3) . What are the coordinates of the centroid of ΔA B C ? Explain the process you used to reach your conclusion.
The coordinates of the centroid of Δ ABC is y = -1/3x + 2.
What is meant by the slope of the line?
The slope of the line is the rise-to-run ratio or the rise divided by the run. It expresses the slope of a line in the coordinate plane. Finding the slope of a line is similar to determining the slope between two points.
The midpoint D of AC is (-3+4/2, 3-3/2) or (1/2, 0).
Note that DB is a line that connects the vertex B and D, the midpoint of AC.
The slope of the line DB is ((5-0)/(2-1/2)) or 10/3.
The equation of DB is
y - 5 = 10/3 (x - 2)
simplifying the above equation, we get
y - 5 = 10x/3 - 20/3
y - 5 + 5 = 10x/3 - 20/3 + 5
y = 10x/3 - 5/3
Use the same method to find the equation of the line between point A and the midpoint of BC.
Therefore, the coordinates of the centroid of Δ ABC is y = -1/3x + 2.
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What are the solutions to the equation x² = 169? select each correct answer. −84.5 negative 84.5 −13 negative 13 13 13 84.5
The correct answer is A. 13.
We have been given equation. Now, to find the value of x, we will take square root. So, solving the mathematical expression now -
x = √169
Taking square root to find the value of x
x = 13
Since the number is positive. the square root of the number will also be positive.
Hence, the solution to equation is A. 13.
Further to cross check, we can also square the resultant number.
On squaring the number 13 for validation of our result, we get 169. It is the same number as in mathematical expression provided to us. Thus, our resultant solution to equation is correct.
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The complete question is -
What are the solutions to the equation x² = 169? Choose all answers that are correct. A. 13 B. –13 C. 84.5 D. –84.5
If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct characters (letters or numbers)? report answer to 3 decimal places.
Using it's concept, there is a 0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A standard deck is given by 4 suits of 13 cards, each with either a number from 1 to 10 or one letter from A, Q or K, hence:
For the first card, all can be selected.For the second card, 48 out of the remaining 51 cards will be available, removing the three cards with the same letter or number as the first.For the third card, 45 out of the remaining 50 cards will be available, removing the six cards whose letters or numbers have already been chosen.For the fourth card, 42 out of the remaining 49 cards will be available, removing the nine cards whose letters or numbers have already been chosen.Hence the probability is given by:
p = 48/51 x 45/50 x 42/49 = 0.726.
0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).
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What is the value of x ?
10 /x(x-2) + 4 / x=5 / x-2
Answer:
ue7e7373777 is is and 88877376363778
The sum of three consecutive even integers is 18 more than five-halves the smallest integer. What is the product of the smallest and largest integer?
The product of the smallest and largest integer is 672
What is the product of the smallest and largest integer?Represent the smallest even integer with x.
So, the other even integers are x + 2 and x + 4
The sum is represented as
x + x + 2 + x + 4 = 18 + 5/2x
Evaluate the like terms
3x + 6 = 18 + 5/2x
Evaluate the like terms
1/2x = 12
Multiply by 2
x = 24
The largest integer is x + 4
So, we have
x + 4 = 24 + 4
x + 4 = 28
The product of the smallest and largest integer is
Product = 24 * 28
Evaluate
Product = 672
Hence, the product of the smallest and largest integer is 672
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In a company, the penalty for being late for work in one month
follows the table below.
Late the first 3 times
$10 total
For every additional time $8 per time
If Jane paid $42 for the penalty last month, how many times
was she late for work?
___times
URGENTT ! PLEASE HELP :3
What is the value of x?
6
O 7
08
09
Answer:
7
Step-by-step explanation:
5x + 3 = 38
5x + 3 - 3 = 38 - 3
5x = 35
5x ÷ 5 = 35 ÷ 5
x = 7
Which two decimal numbers are greater than 5.06 and less than 5.13 ?
5.18
5.0
5.21
5.09
5.1
The two decimal numbers that are greater than 5.06 and less than 5.13 are 5.09 and 5.1.
How to illustrate the information?It should be noted that decimals simply means.the numbers that aren't whole numbers.
It should be noted that this is a straight forward question.
Here, the two decimal numbers that are greater than 5.06 and less than 5.13 are 5.09 and 5.1.
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x^2(3x-1)^4 integrate by parts
Answer:
[tex]81x {}^{6} - 108 { \times }^{5} + 54 { \times }^{4} - 12 { \times }^{3} + { \times }^{2} [/tex]
The monthly minutes on your cell phone can add
up to no more than 700 minutes. You have used
648 minutes. Write an inequality that represents
how many more minutes m you can use during the
rest of the month.
The knowledge of how many more minutes m you can use during the rest of the month is given by the linear inequality 648 + m ≤700, where 'm' is the minutes on the cell phone or simply m ≤ 52
It is given that the monthly minutes on your cell phone can add up to no more than 700 minutes so the highest limit is 700
And You have already used 648 minutes so this is our base for the formation of linear inequality
We are provided to use 'm' for rest of the minutes on the cell phone
Hence, we can form a linear inequality using the three points as the sum of already used minutes and the maximum minutes that can be used in this month is at most 700 minutes is given by 648 + m ≤700
This can also be simplified as
m ≤ 700 - 648
m≤52
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In a company, 70% of the workers are men. If 990 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
Step-by-step explanation:
990 x 70% = 693 people
Write a function rule for each relation below.
1)
X:
-2
-1
0
1
2:
Y
-2
2
6
10
14
Answer:
x | y
-2. -2
-1. 2
0. 6
1. 10
2. 14
how many numbers do we have between each number on Y? 4
Step 1
this you have to use this data to make your function
f(x)=4X
Always you have to use the spaces times X
Step 2
We have to calculate what do we need to satisfy the function, in this case we have to add 6
f(x)=4x+6
