Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
What is the distance formula?Distance formula for calculating the distance between two points on a coordinate plane is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Let,
(-3, 4) = (x1, y1)
(2, -3) = (x2, y2)
Plug in the values
[tex]c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\[/tex]
c = 8.6 units.
Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.
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Michael looked at a list of real-world situations and wrote a number to represent each situation. His work is shown in the table below. Michael made one or more errors in his table. Identify the error(s) in the number(s) and correct the error(s).
Answer:
the 3 and the 22 should be negative
the sum of a number times 9 and 30 is at most 22
Answer:
9x + 30 ≤ 22
Step-by-step explanation:
Let x be "a number."
"the sum of a number times 9" is 9x +
"and 30" 9x + 30
"is at most 22" 9x + 30 ≤ 22
Ben stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 14 nights. He spent three
times as many nights in Dallas as he did in Washington. The total cost for 14 nights (excluding tax) was $2230. Determine the
number of nights that he spent in each city.
City Cost per Night
Washington $200
$140
Dallas
$150
Atlanta
Answer:
Step-by-step explanation:
w + a + d = 14
d = 3w
200w + 150a + 140d = 2230
w + a + 3w = 14
4w + a = 14 Eq. 1
200w + 150a + 140d = 2230
20w + 15a + 14(3w) = 223
62w + 15a = 223 Eq. 2
Eq. 1 & Eq. 2
4w + a = 14
62w + 15a = 223
-60w - 15a = -210
62w + 15a = 223
2w = 12
w = 6.5
A half a night is not allowed. Are you sure of rates in each city?
Is it Washington $200,
Dallas $140
Atlanta $150
It doesn't work.
Can someone show me step by step on how to do this
x-2y=-3
2x-3y=-5
SOLVE THIS BY ELIMINATION
Answer:
x=-1, y=1
Step-by-step explanation:
x-2y=-3
multiply both all terms by -2
-2x+4y=6
-2x+4y+2x-3y=6-5
simplify to get y=1
replace y with 1 in the original equation of your choice and solve for x
x-2(1)=-3
x-2=-3
x=-1
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=75(1.98)^x
y=75(1.98)
x
The perimeter of a poster is 12 feet. The area is 8 square feet. What are the dimensions of the poster?
__ feet by __ feet
so I don't know to solve this
Answer:
A
Step-by-step explanation:
When a slope is undefined, it is always x = ?
The point (-5, -8) tells us that x = -5
Option A also has a point with x = -5
Find m angle 1 and m angle 2
Step-by-step explanation:
Firstly take the unknown angle be x
now x + 138° = 180° {: linear pair}
x = 180-138
x = 42
now , angle 1+ angle x + 18 = 180 { because of angle sum property }
=> angle 1 +42 +18 = 180
=> angle 1 +60 = 180
=> angle 1 = 180-60
=> angle 1 = 120
I need help please 36 points
Using the power of zero property, we find that:
a) The simplification of the given expression is 1.
b) Since , equivalent expressions are: and .
--------------------------------
The power of zero property states that any number that is not zero elevated to zero is 1, that is:
Thus, at item a, , thus the simplification is .
At item b, equivalent expressions are found elevating non-zero numbers to 0, thus and .
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer: 1/2
Step-by-step explanation: Never fear the great answerer is here!
Answer:
I think it's 8 or 1/2. not completely sure.
What is 0.45 divide 9 =
Answer:
0.05
Step-by-step explanation:
If dividing 9 by 0.45, basically .45/9, then you would get 0.05. :) You would need to use division, and move the places 2 over since there is a decimal.
The requried, 0.45 divided 9 gives the quotient of 0.05.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
To divide 0.45 by 9, we can write it as a fraction and simplify it:
0.45 ÷ 9 = 0.45/9
We can simplify the fraction by dividing both the numerator and denominator by 9:
0.45/9 = (0.45 ÷ 9)/(9 ÷ 9)
= 0.05/1 = 0.05
Therefore, 0.45 divided by 9 is equal to 0.05.
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someone please help me work this out??
Answer:
a) 130m b)1.3m/s²
Step-by-step explanation:
area under graph = distance
area of trapezium = a+b/2 x h
6+20/2 x 10
13 x 10 = 130m
acceleration = gradient
gradient = change in y/ change in x
4/3 = 1.3 m/s²
Calculate the income needed based on the following budgeted expenses. Month _______ Budgeted Amount Rent $350 Utilities $100 Food $150 Entertainment $75 Bus Pass $25 College Savings $300 a. The income would need to be at least $1000. B. The income would need to be at least $950. C. The income would need to be at least $1125. D. The income would need to be at least $850. Please select the best answer from the choices provided A B C D.
Answer:
The correct answer is
A. The income would need to be at least $1000.
Step-by-step explanation:
Correct on Edge.
if it takes 3 people to make 21 t-shirt per day , how long will it take 12 people
Answer:
84
Step-by-step explanation:
Because 3 people are making 21 shirts
If there were 12 people then your timesing the answer by 4 so 21=3 people so whats 3 people x 4=12 so then times the shirts by 4
Whats 21 x 4=84 so there is your answer.
Hope it helps have a great day:)
The solution is, 84 long will it take 12 people.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Because 3 people are making 21 shirts
If there were 12 people then your timesing the answer by 4
so 21=3 people so whats 3 people x 4=12
so then times the shirts by 4
21 x 4=84 so there is your answer.
Hence, The solution is, 84 long will it take 12 people.
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Find the product or type
"impossible".
1 -2
-3 4
3 4 2 -7
Answer:
Our answer should be this :
[-7 18]
[-1. -16]
Answer:
see attached
Step-by-step explanation:
Your calculator, spreadsheet, or any number of apps or web sites can compute a matrix product for you. The requirement for the product to exist is that the number of columns in the left matrix match the number of rows in the right matrix.
The product term at location (row, column) = (j, k) in the product is the dot-product of row j in the left matrix with column k in the right matrix. For example, in this matrix product, term (1,2) in the product is the dot-product ...
[1, -2]·[4, -7] = (1)(4) +(-2)(-7) = 4 +14 = 18 . . . product term (1, 2)
__
The attachment shows the full product.
20 points to whomever gets it.
Answer:
Your answer would be:
C.) 4 - 12x
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
153 divided by 4 with remainder
Answer:
153/4=38 Remainder 1
Answer:
38 r 1
Step-by-step explanation:
Hope this helped! Have a nice day!
:3
Find the percentage increase if 60 increases to 99.
The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inch wide by 1. 4 inches long, and the kitchen is 2. 4 inches wide by 2. 8 inches long. What is the actual width of the kitchen? Enter your answer in the box. The actual width of the kitchen is feet.
For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inches wide by 1. 4 inches long.
The actual length of the balcony is 7 feet or 84 in (1 ft = 12in), and on scale the length of the balcony is 1.4 in. Thus, the scale factor is,
[tex]r=\dfrac{1.4}{84}\\r=\dfrac{1}{60}[/tex]
Thus, the scale factor is 1/60.
The length of the kitchen is 2.8 in on map. Let L is the actual length of the kitchen. Therefore,
[tex]r=\dfrac{2.8}{L}\\\dfrac{1}{60}=\dfrac{2.8}{L}\\L=168\rm in\\L=14\rm ft[/tex]
The width of the kitchen is 2.4 in on map. Let W is the actual width of the kitchen. Therefore,
[tex]r=\dfrac{2.4}{W}\\\dfrac{1}{60}=\dfrac{2.4}{W}\\W=144\rm in\\W=12\rm ft[/tex]
Thus, For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.
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Answer:its 12 feet i just took the quiz
Step-by-step explanation:
It takes 2 cups of flour to make 24 cookies. How much flour will it take to make 60 cookies?
Answer:
5 cups of flour needed to make 60 cookies.
Step-by-step explanation:
24 cookies → 2 cups of flour
1 cookies → (2/24) cups of flour
60 cookies → [(2/24)*60 ] cups of flour
60 cookies → 5 cups of flour needed
Answer:
5 cups
Step-by-step explanation:
If 2 cups makes 24 cookies, then 1 cup makes 12 cookies. Since 12 times five is 60, 1 cup of flour filled five times makes 60 cookies so you will need 5 cups of flour.
What is the measure of A??
With respect to the diagram in question
Angle A = (3x-13)°Angle B = (2x+4)°Exterior Angle C = 116°Answer:-Exterior Angle property
Exterior angle of triangle is equal to sum of two opposite interior angle .
ATQ :-[tex] \angle{A} + \angle{ B} = ext \angle C \\ putting \: the \: value \\ 3x - 13 + 2x + 4 = 116 \\ 5x - 9 = 116 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = \frac{ \cancel{125} {}^{ \: \: 25} }{ \cancel5} \\ x = 25[/tex]
For Angle A :- 3x-13
[tex] \angle A = 3x-13 \\ \angle A = 3(25)-13 = 75 - 13 \\ \angle A = 62 \degree[/tex]
Answer:
Step-by-step explanation:
2. la container is filled with 100 grams of bird feed that is 80% seed. How many grams of bied teed containing 5% sad
Frust be added to get bird feed that is 40% seed?
Answer:
43.65 grams
Step-by-step explanation:
43.65 grams of bird feed containing 5% seed must be added to get 43.65 grams
(8p - 8) (6p^2 + 3p+6)
Answer:
The answer is 48p^3 - 24p^2 + 24p - 48
PLEASE HELP ME. I DESPERATELY NEED IT
Write the point slope form of the equation of the line through the given point and slope:
EXPLAIN PLEASE. STEP BY STEP
hmm wait for my answer
Step-by-step explanation:
wait
Answer: [tex]y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]
=====================================================
Explanation:
The given slope is [tex]m = \frac{4}{3}[/tex] and the line goes through the point [tex](x_1,y_1) = (3,-1)[/tex]
This means [tex]x_1 = 3 \ \text{ and } \ y_1 = -1[/tex]
We will plug this information into the point-slope formula below and simplify.
[tex]y - y_1 = m\left(x - x_1\right)\\\\y - (-1) = \frac{4}{3}\left(x - 3\right)\\\\y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]
We stop here since your teacher wants the answer in point-slope form. As the name implies, point-slope form is very handy to quickly spot the slope and a point on the line.
If your teacher wanted the answer in slope-intercept form, then you'd solve for y to get it into y = mx+b form.
What is the area of this face?
Answer:
10*4-6*2=28
Step-by-step explanation:
solve for me thanks im begging
Answer: y = 8x
Step-by-step explanation:
y = 8x
Please help!
Steven borrows $60,000 for school. The intrest rate is 6.5%. He wants to pay off the loan in 12 years. What would be the simple intrest rate?
Answer:
i think it is $106,800.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year.
Solving our equation:
A = 60000(1 + (0.065 × 12)) = 106800
A = $106,800.00
The total amount accrued, principal plus interest, from simple interest on a principal of $60,000.00 at a rate of 6.5% per year for 12 years is $106,800.00.
The simple interest rate for this loan is 78%.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have,
If Steven borrows $60,000 at an interest rate of 6.5%, the total amount of interest he will pay over 12 years can be calculated as:
I = Prt
where I is the interest, P is the principal amount borrowed ($60,000), r is the interest rate as a decimal (0.065), and t is the time period in years (12). Substituting the given values, we get:
I = 60000 x 0.065 x 12
I = $46,800
The simple interest rate is the ratio of the total interest paid to the principal borrowed, expressed as a percentage:
simple interest rate = (total interest/principal borrowed) x 100
Substituting the given values, we get:
simple interest rate = (46800 / 60000) * 100
simple interest rate = 78%
Therefore,
The simple interest rate for this loan is 78%.
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Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost
Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost
Lets highlight some key words.
There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,
X=Amount needed to pay the rent fee.
Since there are 3 friends and they have to split we have to multiply,
3x, "At least" is less than or equal to so .
3x [tex]\leq[/tex]
Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as
3x [tex]\leq[/tex] $1200
To add up to the rent, and to solve the inequality
we have to do the opposite of multiplication, and divide.
1200/3 = 400, x [tex]\leq[/tex] 400
There is a line segment called AB (not pictured). The coordinates of point A are (6, 2), and the coordinates of point B are (2, 6).
AB is transformed to form A'B', which is shown on the graph.
Which transformation below caused AB to transform into A'B'? Use graph paper to sketch the transformation if needed.
Question 6 options:
A.a reflection across the x-axis
B. a counter-clockwise 90 degree rotation about the origin
C. a reflection across the y-axis
D. a translation 3 units down and 7 units left
Answer:
a counter-clockwise 90 degree rotation about the origin
Step-by-step explanation:
Answer:
ANSWER IS C The transformation below that caused AB to transform into A'B' is a reflection across the y-axis
How to translate a coordinate point to another
Given the following coordinates
A = (6, 2)
B = (2, 6)
A' = (-6, 2)
B' = (-2, 6)
According to the reflection rule, the reflection over y axis is given as:
Note that the x-coordinate was negated as seen from the translation A to A' and B to '.
Hence the transformation below that caused AB to transform into A'B' is a reflection across the y-axis
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Step-by-step explanation:
please help me solve this
Answer: a = 75 b = 60
Step-by-step explanation:
b + 120 = 180
b = 60
a + 105 = 180
a = 75