The distance between the points, (-8, -2) and (12, 10), is 23.3
Calculating the distance between two pointsFrom the question, we are to determine the distance between the two given points.
From the given information,
The points are (-8, -2) and (12, 10)
The distance between two points in given by the formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where d is the d is the distance between the points
Thus,
d = √[(12 - (-8))² + (10 - (-2))²]
d = √[(12 + 8)² + (10 + 2)²]
d = √[(20)² + (12)²]
d = √[400 + 144]
d = √[544]
d = 23.3
Hence, the distance is 23.3
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Please help I was sick and missed out on class.Thank you
==========================================
Explanation:
Both points have the same x coordinate, which immediately tells us both points are on the same vertical line.
All vertical lines have an undefined slope. This is because when it comes to rise/run, the "run" is zero. Dividing by zero is not allowed.
Check out the steps below.
[tex](x_1,y_1) = (-10,9) \text{ and } (x_2,y_2) = (-10,18)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 9}{-10 - (-10)}\\\\m = \frac{18 - 9}{-10 + 10}\\\\m = \frac{9}{0}\\\\m = \text{UND}\\\\[/tex]
The "UND" is shorthand for "undefined". Some textbooks may use the notation "NaN" to refer to "not a number".
2) The Peponi tuckshop sells + different kinds of muffin. Apple, blueberry, cherry and damson. A cherry muffin costs the same as two apple muffins. A blueberry muffin costs the same as two damson muffins. A Cherry muffin and two damson muffins costs the same as an apple and two blueberry muffins. All four types cost an integer multiple of 100 shillings. If Aanya buys one of each kind, which of these could be the amount she spends? 1,600, 1,800, 2000, 2200 or 2400 shillings.
Answer:
1800
Step-by-step explanation:
c = 2a;
b = 2d;
c + 2d = a + 2b
2a + b = a + 2b
a = b
a = b
c = 2a
d = b/2
Assume a = 100.
b = 100
c = 200
d = 50
This cannot be, but we can continue.
Add them: 100 + 100 + 200 + 50 = 450
The total must be an even multiple of 450.
The total can be 900, 1800, 2700, etc.
Answer: 1800
How many words with or without meaning each of 2 vowels and 3 consonants can be formed from the letters of the word "Honesty" ?
Answer:
The number of words with two vowels and 3 consonants from the letters of the word ‘HONESTY’ is 1200.
Step by step explanation:
Find the y-coordinate of the y-intercept of the polynomial function defined below.
f(x) = -2(x-3)
Evaluate. [(1 1/5−2/5)⋅(−3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box. NEED ANSWER NOW PLEASE!!!!!!!!!!!!!!!
Answer:9/20
Step-by-step explanation:
11/5-2/5=9/5
-3/4*3= 9/4
9*-9=-81
5*4=20
-81/20 /-9
9/20
Solve for b.
b - 14 = -10
Answer:
b=4
Step-by-step explanation:
b-14 =-10
b-14+14=-10+14
b=4
The median monthly rent in 2005 was $694 and $810 in 2010. What was the percent increase in the median monthly rent prices from 2005 to 2010? Round to the nearest tenth of a percent.
The percent increase in the median monthly rent prices from 2005 to 2010, using proportions, was of:
16.7%.
What is a proportion?A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of a problem.
One application of proportions is to obtain the percent increase in the context of a problem, as it is calculated as the division of the increase by the total amount and multiplied by 100%.
The parameters to obtain the percent increase in the context of this problem are given as follows:
Initial amount: $694.Increase: 810 - 694 = $116.Hence the percent increase in the median monthly rent prices from 2005 to 2010 is calculated as follows:
P = 116/694 x 100% = 16.7%.
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Please help me giving 100 pts to whoever can help me the fastest!!!!!
Answer:
0.4294
Step-by-step explanation:
When the inequality. y> x + 1 is graphed, the shade is below the line and the line is dashed.
False
True
فے
The inequality y > x+1 graphed is false.
Given,
In the question:
When the inequality y > x +1 is graphed,
The shade is below the line and the line is dashed.
Check the above information is true or false.
Now, According to the question:
The inequality is given as:
y > x +1
The graph is:
∴The shade is below the line and the line is dashed
The answer is false.
Hence, The inequality y > x+1 graphed is false.
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Solve.
1) Jake bought a bicycle that cost $65.00 when it was new...
If he eventually sold it for 20% of the original cost, how
much was it sold for?
Answer:
Jake sold the bicycle for $13.00
Step-by-step explanation:
All you have to do is know the equation would be 20% of $65.00.
That equals 65x0.20.
If you solve it, the answer is $13.00
Jake sold the bicycle for $13.00
Hope this helps!
Answer:
its 13 dollars
Step-by-step explanation:
when you have to find a precent of something you multiply the number by the percentage and divide the answer by 100
Josie calculated 1/5+1/2 and said the answer was 2/7 is it wrong and why
Answer:
It's wrong because you don't add fractions the way you would add normal numbers.
Step-by-step explanation:
To add 1/5 to 1/2 you would need to write all numerators above the least common denominator which is 10. Then add the numerators, 5 + 2, which gives you 7/10.
The vaule of 5-a is 20 greather than the vaule of 6a-1
The value of a when the value of 5-a is 20 greater than the vaule of 6a-1 is -2.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since the value of 5-a is 20 greater than the vaule of 6a-1. This will be:
5 - a > 6a - 1 + 20
Collect like terms
-a - 6a > - 1 + 20 - 5
-7a > 14
Divide
a > 14 / -7
a > -2
Therefore, a is greater than -2.
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Can anyone solve this
Answer:
Step-by-step explanation:
y= 53/3 prob wrong but idek
y= -x+8
y= 2x+5
solve the following systems..
Answer:
x = 1
y = 7
Step-by-step explanation:
y = -x + 8
-y= -2x - 5 (Switch the signs of y = 2x + 5)
0= - 3x + 3 (Subtract both equations)
3x = 3 (Add 3x on both sides)
x = 1 (Divide by 3 on both sides)
y = -1 + 8 (Plug x as 1 in the equation y = -x + 8)
y = 7 (Simplify)
Leading to the answer
x = 1
y = 7
solve for x in the simplest form
Answer:
x= 12/5
Step-by-step explanation:
Distribute the fraction and solve for x.
The cost in dollars of making x items is given by the function C(x)=10x+900 .
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
Fixed cost =$
b. What is the cost of making 25 items?
C(25)=$
c. Suppose the maximum cost allowed is $1900 . What are the domain and range of the cost function, C(x) ?
Domain:
Range:
Step-by-step explanation:
when we give a function an actual value as argument, we are using the variable(s) in the functional definition as intended : as placeholders for actual values.
so, we only need to replace any occurrence of the variable by the actual value and calculate.
a.
zero items are produced means x = 0.
C(0) = 10×0 + 900 = $900
fixed cost = $900
b.
making 25 items means x = 25.
C(25) = 10×25 + 900 = 250 + 900 = $1,150
c.
the domain is the interval or set of all valid values for x.
the range is the interval or set of all valid values for y (the functional result).
now, the maximum cost allowed is $1900.
how many items are that ?
1900 = 10x + 900
1000 = 10x
x = 100
so, the domain is
0 <= x <= 100
the range is
$900 <= y <= $1900
need help ASAP plspldplsplsplspls
1) The linear system has only one solution.
2) The linear system has infinite number of solutions.
3) The linear system has only one solution
4) The linear system has only one solution.
5) The linear system has only no solution.
What is meant by a linear equation?In the algebraic form y= mx+ b, where m denotes the slope and b the y-intercept, a linear equation is defined as a first-order (linear) term and a constant. The aforementioned is occasionally described as a linear equation with two variables, where x and y are the variables.
An equation is linear if the graph of the equation is a straight line. This will happen once x has the highest power of 1, which is. The equation is linear if it can be represented as a straight line.
1) x+y+7=0
x-y+1=0
By solving these two equations we get,
x=-4
y=-3
(x, y)=(-4,-3)
Consequently, there is only one solution to the linear system.
2) 3x+y-2=0
6x+2y-4=0
a₁/a₂=3/6
a₁/a₂=1/2
b₁/b₂=1/2
c₁/c₂=1/2
Therefore,
a₁/a₂=b₁/b₂=c₁/c₂
So, the linear system has infinite number of solutions.
3) x-y-5=0
x+5y+7=0
By solving these two equations we get,
y=-2 and x=3
(x, y)=(3, -2)
Consequently, there is only one solution to the linear system.
4) x+y-4=0
2x-3y-3=0
By solving these two equations we get,
x=3 and y=1
(x, y)=(3,1)
Consequently, there is only one solution to the linear system.
5) 5x-y-5=0
5x-y-15=0
a₁/a₂=1
b₁/b₂=1
c₁/c₂=1/3
∴ a₁/a₂=b₁/b₂≠c₁/c₂
Therefore, the linear system has no solution.
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Sandra can knit 36 rows on a scarf in 18 minutes. How many rows can she knit in 25 minutes?
This calls for applying rates:
18 minutes = 36 rows
1 minute = 36/18 = 2 rows
25 minutes = 2 x 25 = 50 rows
The answer is 50 rows in 25 minutes. I hope this helps!
what would the correct number line be for this compound inequality? 3x - 5 > or -2x _< -10
The correct number line that shows the solution to the compound inequality is given by:
Number Line A.
What is a compound inequality?A compound inequality is an inequality that is composed by multiple conditions.
Then these conditions are related with one of two operations, listed as follows:
and operation: the values need to respect all the conditions of the compound inequality.or operation: the values need to respect at least one of the conditions of the compound inequality.In this problem, the compound inequality is given as follows:
3x - 5 > 1 or -2x ≤ -10.
The solutions to the first condition are given as follows:
3x > 6
x > 2.
The solutions to the second condition are given as follows:
2x ≥ 10
x ≥ 5.
The interval of values that is the union of these solutions is given by:
x > 2.
Hence number line A is the solution to the inequality.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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bala had 240 cards and tom had 780 cards. after tom gave some cards to bala, bala had twice as many cards as tom. how many cards did tom give to bala?
The answer is tom will give 440 cards to Bala, using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The total number of cards is 780+240 = 1020.
If in the end Bala will have twice as many cards as Tom then I would divide the 1020 by 3 which equals 340.
So Bala will have 2*340 = 680 cards
Tom will have 340 cards.
Now Bala will need (680-240) = 440 more cards.
Hence Tom will give 440 cards to Bala.
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Given the equation k over 12.6 equals 7.4, determine the value of k.
93.24
20.0
5.2
1.70
The value of k from the given equation as in the task content is; 93.24.
What is the value of k?It follows from the task content that the value of k for which the given equation is true is to be determined.
On this note, since the given equation is;
k / 12.6 = 7.4
Therefore, to isolate k, both sides of the equation must be multiplied by; 12.6 as follows;
k = 7.4 × 12.6
Ultimately, the value of k for which the given equation is true is; 93.24.
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The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 6. Function 2 y = 2x + 7 How much more is the rate of change of function 2 than the rate of change of function 1? (4 points) a 1 b 2 c 3 d 4
The rate of change of function 2 is greater than the rate of change (slope) of function 1 by: B. 2.
How to determine the difference in the rate of change?Since the line on this graph is perpendicular to the y-axis (horizontal line), we can reasonably and logically deduce that its rate of change (slope) is equal to zero (0) because there is no change in the y-value on the y-axis.
This ultimately implies that, the rate of change (slope) of function 1 (y = 6) with an horizontal line is equal to zero (0).
Next, we would calculate the rate of change (slope) of function 2 i.e y = 2x + 7. Mathematically, the standard form of the equation of a straight line function is given by;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the y-intercept.By comparing the two (2) equations, we have the following:
y = mx + c ≡ y = 2x + 7
Therefore, the rate of change (slope) of function 2 is equal to 2.
Now, we can calculate the difference between the rate of change (slope) of function 2 and the rate of change (slope) of function 1 as follows:
Difference = 2 - 0
Difference = 2.
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Someone please help…
Answer:
(x-5),(y+2)
Step-by-step explanation:
The annual fundraising goal of a is $100,000. So far $46,088 has been raised. How much more money is needed to reach the goal? What???
If annual fundraising goal of a is $100,000 and so far $46,088 has been raised, then they have to raise $53912 to reach the goal
The goal of the annual fund raising = $100000
The raised amount = $46088
The amount of money needed to reach the goal = The goal of the annual fund raising - The raised amount
Here we have to use the subtraction
Substitute the values in the equation
The amount of money needed to reach the goal = 100000 - 46088
= $53912
Hence, if annual fundraising goal of a is $100,000 and so far $46,088 has been raised, then they have to raise $53912 to reach the goal
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15. Todd purchased two CDs and three cassette tapes for $75. Paulena went to the same
music store and purchased one CD and five cassette tapes for $76. If all CDs are the
same price and all the cassette tapes are the same price, find the cost of each CD and
each cassette tape.
The cost of each CD is $21 and the cost of each cassette tape is $11.
According to the question,
We have the following information:
Todd purchased two CDs and three cassette tapes for $75. Paulena went to the same music store and purchased one CD and five cassette tapes for $76.
Now, let's take the cost of each CD to be $x and the cost of each cassette tape to be $y.
So, we have the following expressions:
2x+3y = 75 ..(1)
x+5y = 76
x = 76-5y ..(2)
Putting the value of x in equation 1:
2(76-5y)+3y = 75
152-10y+3y = 75
152-7y = 75
Subtracting 152 from both sides:
-7y = 75-152
-7y = -77
y = 77/7
y = $11
Putting this value in equation 2:
x = 76-5y
x = 76-5*11
x = 76-55
x = $21
Hence, the cost of each CD is $21 and the cost of each cassette tape is $11.
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4a² + 4ab-3b² = (2a+3b)(_)
Complete the factoring
Answer:
(2a + 3b)(2a - b)
Step-by-step explanation:
4a² + 4ab - 3b²
consider the factors of the product of the coefficient of a² and b² which sum to give the coefficient of the ab- term.
product = 4 × - 3 = - 12 and sum = 4
the factors are + 6 and - 2
use these factors to split the ab- term
= 4a² + 6ab - 2ab - 3b² ( factor the first/second and third/fourth terms )
= 2a(2a + 3b) - b(2a + 3b) ← factor out (2a + 3b) from each term
= (2a + 3b)(2a - b)
Solve negative 5 times y plus seven thirds times y equals negative 5 minus eight thirds times y minus 4 for y.
The solution to the equation as written is y = -96/161.
What is a linear equation?The term linear equation has to do with an equation in which the highest power of the variable is 1. In this case, we have been given a word problem and we would have to convert it to equation.
The equation is now to be written as;
5y + 7/3y = 5/8y - 4
Collect like terms and apply BODMAS;
5y + 7/3y - 5/8y = -4
22y/3 - 5/8y = -4
161y/24 = -4
24(-4) = 161y
y = 24(-4)/161
y = -96/161
Having solved the equation, the solution that is obtained for the linear system is y = -96/161
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Is 11/16 greater than less than or equal to 3/8
Answer:
Greater than
Step-by-step explanation:
3/8 = 6/16
6<11
therefore, 11/16 is greater than 3/8
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 25 pounds each, and the small boxes weigh 50 pounds each. There are 105 boxes in all. If the truck is carrying a total of 3, 875 pounds in boxes, how many of each type of box is it carrying?
Choose one:
Number of large boxes: 5
Number of small boxes: 10
Number of large boxes: 50
Number of small boxes: 55
Number of large boxes: 38
Number of small boxes: 75
Number of large boxes: 55
Number of small boxes: 50
Answer:
There are 105 boxes in all. If the truck is carrying a total of 3, 875 pounds in boxes, how many of each type of box is it carrying?
50 large boxes
55 small boxes
a\b − c+d if a=7\8 , b=−7\16 , c=0.8 , and d=1\4
By solving the equation a\b − c +d, we get the answer -2.55
Given,
In the question:
The equation is given as:
a\b − c + d
The values are given as:
a=7\8 , b=−7\16 , c=0.8 , and d=1\4
Now, According to the question:
Substitute the values a=7\8 , b=−7\16 , c=0.8 , and d=1\4 into a\b − c + d.
Now,
[tex]\frac{7}{8}[/tex] × [tex]\frac{16}{-7}[/tex] - 0.8 + 1/4
Cross out the common factor:
= -2 - 0.8 + 1/4
Taking L.C.M
= [tex]\frac{-8-3.2+1}{4}[/tex]
Calculate the sum or difference:
= -10.2/4
= - 2.55
Hence, By solving the equation a\b − c +d, we get the answer -2.55
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