Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{61} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let R ( -3 , 2 ) be ( x₁ , y₁ ) and D ( 3 , -3 ) be ( x₂ , y₂ )
Using distance formula
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( -3)) }^{2} + {( - 3 - 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 3)}^{2} + {( - 3 - 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {6}^{2} + {( - 5)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ 36 + 25 } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{61} }}[/tex] units
Hope I helped!
Best regards! :D
3(x + 5) = 2(4x + 9)
Answer:
x=-3/5
Step-by-step explanation:
3(x + 5) = 2(4x + 9)
First, distribute:
3(x)+3(5)=2(4x)+2(9)
3x+15=8x+18
-5x= 3
x= -3/5
8 gal to 9 1/3 gal write ratio in lowest form with whole numbers in numerator and denominator
Answer:
[tex]\bold{\dfrac{6}{7}}[/tex]
Step-by-step explanation:
Given ratio is:
8 gal to [tex]9\frac{1}3[/tex] gal
To find:
Ratio in Lowest form with whole numbers in numerator and denominator.
Solution:
First of all, let us convert [tex]9\frac{1}3[/tex] to simple [tex]\frac{p}{q}[/tex] form:
Formula:
[tex]a\dfrac{b}{c} = \dfrac{a\times c+b}c[/tex]
Using the formula, we get:
[tex]9\dfrac{1}{3} = \dfrac{9\times 3+1}{3} = \dfrac{28}{3}[/tex]
Now, let us have a look at the ratio:
[tex]8 : \dfrac{28}{3}[/tex]
Any ratio, [tex]p:q[/tex] can be written as [tex]\frac{p}{q}[/tex].
Writing given ratio as per above:
[tex]\dfrac{8}{\dfrac{28}{3}}\\\Rightarrow \dfrac{8 \times 3}{28}\\\Rightarrow \dfrac{2\times 3}{7}\\\Rightarrow \bold{\dfrac{6}{7}}[/tex]
Therefore, the answer is
[tex]\bold{\dfrac{6}{7}}[/tex]
Find the sum: 3.85 + 6.29 =
Answer:
3.85 + 6.29 = 10.14
Hoped I helped
Step-by-step explanation:
3.85+6.29= 10.14
thank
someone tell me the answers tho these please. Part A: Factor 3x2y2 − 2xy2 − 8y2. Show your work. (4 points) Part B: Factor x2 + 10x + 25. Show your work. (3 points) Part C: Factor x2 − 36. Show your work. (3 points)
Step-by-step explanation:
x2 + 10x + 25
x2 + 5x + 5x + 25
x(x + 5) + 5(x + 5)
(x + 5)(x+ 5) are the factors
x2 - 36
Both are squares so
x2 - (4)2
A large western state consists of 3129 million acres of land. Approximately 55% of this land is federally owned. Find the number of acres that are not federally owned
Answer:
1408.5 acres
Step-by-step explanation:
If 55% of the land is federally owned, then 100 - 55 = 45% of the land is not federally owned.
We need to find how many acres are not federally owned, in other words, we need to find how many acres represent 45% of the total 3129 acres. So, to do this we can apply a rule of three:
3129 acres ---- 100%
x acres ------ 45%
[tex]x=\frac{(3129)(45)}{100} =3129(0.45)= 1408.05[/tex]
Therefore, the total of acres that are not federally owned are 1408.5 acres.
(4x5 - 13x2 - 10) - (2x5 - 9x2 + 15)
2x5 - 11x2 + 5
2x5 - 4x2 - 25
2x5 - 4x2 + 5
-27x7
Next QuestionNext
Answer:
2x5-4x2-25
Step-by-step explanation:
First you distribute the negative sign to the second equation which makes each number it's opposite
Which would result in 4x5-13x2-10-2x5+9x2-15
Then you combine like terms and get 2x5-4x2-25
Answer:
-23
Step-by-step explanation:
Hi May I know how to solve this?
Answer:
k = 3/4
Step-by-step explanation:
Parallel lines have the same slope so first, we need to find the slope of 8x + 6 = 2y. To do so, we can do the following:
8x + 6 = 2y
2y = 8x + 6
y = 4x + 3 (This is now in slope intercept form - y = mx + b where m = slope and b = y-int.)
Therefore, the slope is 4. Now, we can do:
3x = ky - 10
3x - 10 = ky
(3x / k) - (10 / k) = y
y = (3x / k) - (10 / k) (where k ≠ 0)
Now that the second line is in slope-intercept form, we can set the two x terms equal to each other, therefore:
3x / k = 4x
3x = 4x * k
3x / 4x = k
k = 3/4
A store donates 3% of total sales to a charity. Mr. Winn bought 4 jackets at the store. Each jacket had a price of $150. How much money did the store donate to charity because of the jackets Mr. Winn bought?
Answer: The donated $18
Step-by-step explanation:
If each jacket cost $150 then multiply 150 by 4 to find out the total that the store received.
150 * 4 = 600
Now find 3% of 600 to find out how much they donated to the charity.
3% * 600 = $18
Angle A and angle B are supplementary angles. If
angle B is 30° more than four times angle A, find
angle A and angle B.
Answer:
Angle A is 30
Angle B is 150
Step-by-step explanation:
So we have the supplementary angles A and B. In other words:
[tex]A+B=180[/tex]
We are also told that Angle B is 30 more than four times Angle A. In an equation, this is:
[tex]B=30+4A[/tex]
We now have a system of equations. Solve by substitution of B into the first equation:
[tex]A+B=180[/tex]
[tex]A+(30+4A)=180[/tex]
Combine like terms:
[tex]5A+30=180[/tex]
Subtract 30:
[tex]5A=150[/tex]
Divide by 5:
[tex]A=30[/tex]
So, Angle A is 30 degrees.
And since the angles are supplementary, this means that Angle B is 180 minus 30 or 150 degrees.
Given the following equation, solve for r.
Step-by-step explanation:
I try my best I not a math expert
what is the value when 25 is subtracted from - 25
Answer:
[tex]\Huge \boxed{-50}[/tex]
Step-by-step explanation:
25 is subtracted from -25.
[tex]\Rightarrow -25-25 \\ \\ \\ \Rightarrow -50[/tex]
The value is -50.
Find the discriminant then state the number of rational, irrational, or imaginary solutions:
11. 9n^2 -3n+2=0
12. y^2 +6y+4=0
13. 9m^2 +6m+1=0
14. -2a^2 -2a+1=0
15. -9b^2 +8b=8
16. -x^2 -9=6x
17. 4r^2 +6=-4r
18. -3b^2 -8b=-1
Answer:
no
Step-by-step explanation:
5. Which of the following is a multiple of 8?
A 4
C 20
B 8
D 100
Answer:
8
Step-by-step explanation:
8 can be divisible by 8. Therefore, it would be a multiple of 8.
The first multiple of a number is always that number.
All other options given are not multiples of 8.
Hope this helps.
i need help with this page
Answer:
<abc=14
Step-by-step explanation:
<abc= 14 ; because if the whole thing is 90 and <CBD is already 76 then you subtract 90-76 to get the rest of the angle which is 14 degrees
A garden hose faucet is able to fill a gallon conainer in 20 seconds. A homeowner accidentally left his hose on for a full day. How many gallons per day can a hose release?
One day is equivalent to 86400 seconds.
So 86400÷20=4320 gallons
The function h(x)=4/3x-1 represents the composite h(x)=f(g(x)).if f(x)=2x-1,what is g(x)
Answer:
[tex]g( x) = \frac{2}{3}x[/tex]
Step-by-step explanation:
Given:
Composite Function:
[tex]h( x)=f( g( x))[/tex]
Also,
[tex]h( x)=\frac{4}{3}x-1[/tex]
To find:
[tex]g( x ) = ?[/tex]
Solution:
First of all, let us learn about a composite function.
Composite function [tex]f( g( x))[/tex] means to write [tex]g( x)[/tex] in place of [tex]x[/tex] in the function [tex]f( x)[/tex].
Let [tex]g( x) = y[/tex]
So, [tex]f( g( x))[/tex] = [tex]f( y )[/tex].
Therefore,
[tex]h( x) =f( g( x)) = f( y)[/tex]
So, [tex]f( y) = 2y-1[/tex]
We have to solve for [tex]y[/tex] in terms of [tex]x[/tex] to find the value of [tex]g(x)[/tex]:
[tex]\Rightarrow \frac{4}{3}x-1 = 2y-1\\\Rightarrow 2y=\frac{4}{3}x\\\Rightarrow y = \frac{2}{3}x[/tex]
Hence, the answer is [tex]g( x ) = \frac{2}{3}x[/tex].
Checking whether the answer is correct or not:
[tex]f( g( x)) = f( \frac{2}{3}x) = 2\times \frac{2}{3}x -1 = \frac{4}{3}x-1[/tex]
which is [tex]h( x)[/tex].
Hence, our answer [tex]g( x ) = \frac{2}{3}x[/tex] is correct.
The g(x) of the function is:
g(x) = (2/3)x
How to find what g(x) is?A function is a relationship between inputs where each input is related to exactly one output.
Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
We have:
h(x) = (4/3)x - 1
h(x) = f(g(x))
f(x) = 2x - 1.
Thus, we can say:
h(x) = f(g(x)) = 2*g(x) - 1
(4/3)x - 1 = 2g(x) - 1
(4/3)x - 1 + 1= 2g(x)
(4/3)x = 2g(x)
(4/3)x * 1/2 = g(x)
(2/3)x = g(x)
g(x) = (2/3)x
Therefore, g(x) = (2/3)x.
Learn more about function on:
brainly.com/question/29233399
#SPJ6
Solve -4(x + 1) – 3 = -3(x - 4).
Answer:
x =-19
Step-by-step explanation:
[tex]-4(x + 1) - 3 = -3(x - 4).\\\\\mathrm{Expand\:}-4\left(x+1\right)-3:\quad -4x-7\\\\\mathrm{Expand\:}-3\left(x-4\right):\quad -3x+12\\-4x-7=-3x+12\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\-4x-7+7=-3x+12+7\\\\Simplify\\-4x=-3x+19\\\\\mathrm{Add\:}3x\mathrm{\:to\:both\:sides}\\-4x+3x=-3x+19+3x\\\\Simplify\\-x=19\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{19}{-1}\\\\Simplify\\x=-19[/tex]
Answer:
We have this equation:
-4(x+1) - 3 = -3(x-4)
First of all, we solve the paretheses:
-4x - 4*1 - 3 = -3x - (-3*4)
-4x - 4 - 3 = -3x + 12
-4x -7 = -3x + 12
We sum 7 on both sides and 3x on both too:
-4x - 7 + 7 + 3x = -3x + 12 + 3x + 7
-4x + 3x = 12 + 7
-x = 19
x = -19
Now we can verify:
-4(-19+1) - 3 = -3(-19-4);
-4(-18) - 3 = -3(-23);
72 - 3 = 69 (TRUE)
3(2v-9)=5 solve for v
Answer:
v=16/3
Step-by-step explanation:
3(2v-9)=5
Multiply 2v and -9 with 3
6v-27=5
Add 27 to both sides
6v=32
Divide both sides by 6
v=16/3
There are nine teddy bears in the diagram below. How many TOTAL squares are
there?
Answer: 14
Step-by-step explanation: 9 small squares with one teddy bear in each, 4 medium squares with 4 bears in each medium square, and 1 big square for the entire thing.
The total number of square is 14
What is figure counting?In the counting of figures, you have a shape or a figure. From the given shape you will have to identify a given known shape and count the number of times it is present in the given shape.
According to the question
9 small squares with one teddy bear in each,
4 medium squares with 4 bears in each medium square.
1 big square for the entire thing.
Total square = 9 + 4 + 1
= 14
Hence, the total number of square is 14
To learn more about counting figure from here
https://brainly.com/question/17456957
#SPJ2
Simplify the expression where possible. (6 3 ) -3
why isnt 16:14 equivlant to 64:60
Answer:
The scalar used does not exist in the real number system.
Step-by-step explanation:
The ratio 16:14 is not equivalent to the ratio 64:60 because the scalar used does not exist in the real number system.
Note, that the ratio 64:60 can be scaled down by 4 to be the ratio 16:15, which is not the ratio 16:14.
In order to scale 64:60 to 16:14 or vise versa, you'd have to use a number that simply does not exist in the real number system.
Cheers.
A recipe that makes 25 oatmeal cookies calls for 2.5 cups of oats and one cup of sugar. Jerry needs to make 195 cookies for his party. How many cups of oats will he need?
AB is a straight line
Work out the size of angle x
Which is the mode of this data set?
55, 78, 43, 39, 78, 61, 75, 50, 43, 78
Answer:
78
Step-by-step explanation:
Mode = number that appears most in a set of numbers
The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!
Answer:
Step-by-step explanation:
arrange in ascending order
39,43,43,50,55,61,75,78,78,78
mode=78
5. Will had a summer job at a car wash. He earned $8.50 per hour and was expected to
pay a one-time fee of $15 for his uniform. If he worked 32 hours his first week, about how
much money did he make at the end of his first week? (Can you help explain step by step ?)
Answer:
$257
Step-by-step explanation:
First we multiply the rate by time
8.5*32=$272
then we subtract the uniform fee
272-15=$257
(plz give brianliest ty)
Answer:
8.50x-15
Step-by-step explanation:
Flat rate is 15 so you subtract from income made. 8.50x is how much you make depending on how many hours you work. Thus income-fee= how much you make first week.
Simplify the expression. (7−2)24+34−10 13 35 53 3
Answer:
144
Step-by-step explanation:
Subtract 2 from 7 to get 5.
5×24+34−10=144
Multiply 5 and 24 to get 120.
120+34−10=144
Add 120 and 34 to get 154.
154−10=144
Subtract 10 from 154 to get 144.
The result of the given expression is 144
Expression has different terms separated by mathematical signs
Given the expression
(7−2)24+34−10
Using the PEDMAS rule
Parethesis first to have:
(7−2)24+34−10
= 5(24) + 34 - 10
Followed by multiplication
= 120 + 34 - 10
Then followed by Addition
= 154 - 10
Finally subtraction
154 - 10 = 144
The result of the given expression is 144
Learn more here: https://brainly.com/question/17788156
On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?
Answer:
4 playlists
:)
Brandon wants to buy a new bike. The model he likes is on sale for 15% off its original price. His parents agree to pay for $50 of the cost. If the original cost of the bike is x dollars, which of the expressions below represent the amount Brandon has to pay?
Answer:
0.85x - $50
Step-by-step explanation:
Given that :
Brandon wants to buy a new bike. The model he likes is on sale for 15% off its original price. His parents agree to pay for $50 of the cost. If the original cost of the bike is x dollars, which of the expressions below represent the amount Brandon has to pay
Discount on price = 15%
Amount parents agreed to pay = $50
Cost of bike = x
Discount on bike = 0.15x
Cost after discount is removed = (x - 0.15x) = 0.85x
Parent pays $50 of cost price, amount Brandon will have to pay equals :
(0.85x - $50)
Answer:
0.85x - $50
Step-by-step explanation:
HELP PLEASE! I dont know what to do now! 10 points!
Answer:
It would be losing 300.
Step-by-step explanation:
The opposite of gaining is losing the integer would be -300
Answer:
-300
Step-by-step explanation:
Name the Reflection Rule that results in the following transformation
A(1,4), B(2, 7), C(9, 3) to
A'(1,-4), B'(2, -7), C'(9, -3)