Answer:
d = 5Step-by-step explanation:
[tex]d_{FG}=\sqrt{(x_G-x_F)^2+(y_G-y_F)^2}\\\\d_{FG}=\sqrt{(5-2)^2+(16-11)^2}=\sqrt{3^2+4^2}=\sqrt{25}=5[/tex]
Two numbers have a sum of 2 and a difference
of -16. What are the numbers?
Answer:
-7 & 9
Step-by-step explanation:
(-7) + 9 = 2
(-7) - 9 = -16
x + y = 2
x - y = -16
Add the equations together to eliminate one of the variables.
2x = -14
Divide both sides by 2
x = -7
Let's plug -7 into x for our first equation.
-7 + y = 2
Add 7 to both sides.
y = 9
A skier is trying to decide whether or not to buy a season ski pass a daily pass cost $63 a season ski pass cost $350 to scare would have to rent skis with either a pass for $25 per day how many days with the skier have to go skiing in order to make the season pass less expensive than the daily pass
Answer:
um
Step-by-step explanation:
Subtitution .HELP ME
Answer:
x = 2
y = 3
Step-by-step explanation:
x = 3y - 4
5x + 2y = 31 in the second equation replace x with 3y - 4
5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis
15y - 20 + 2y = 31 add like terms
17y = 51
y = 3
Now, since we found the value of y we can use it to calculate x
x = 3y - 4
x = 3×3 - 4
x = 2
5.4 x 28.7 =
What is the answer
Answer:
154.98
Step-by-step explanation:
Answer:
155(estimated to 3 s.f) 154.98(exact value)
Step-by-step explanation:
Very nice question bro
The ratio of boys to girls in a classroom is 15 to 12. What is the ratio of boys to total students in the classroom.
Answer:
Step-by-step explanation:
15 boys + 12 girls = 27 students
15:27 = 5:9
First, add to find total number of students.
15 + 12 = 27
Second, create the new ratio.
15 to 27
Best of Luck!
three more than five times the number of dogs find the algebraic expression
Answer: 5x+3
Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.
help solve this please
Answer:
h=18/7
Step-by-step explanation:
2/21=h/27
21 h=54
h=54/21 common factor 3
h=18/7
• Cowes 5 dollars.
• D has 10 more dollars than E.
• F has 8 more dollars than E.
. E has no money and owes no money.
• A is the opposite of D.
• B has 4 dollars less than D.
(a) A =
(c) C =
(e) E-
(b) B =
(d) D =
(f) F =
Use the distributive property to find the value of 8(10 + 9).
152
82
89
97
on a random Monday in the spring, 95% of students are present at school. if there are 589 students present, then how many students are enrolled?
Answer:
620
Step-by-step explanation:
95% × 620 =
(95 ÷ 100) × 620 =
(95 × 620) ÷ 100 =
58,900 ÷ 100 =
589;
Write the equation of the line that is parallel to the line y = 3/2 x + 5 and passes through the point (4,1).
Answer:
m=3/2
y-1=3/2(x-4)
y-1=3/2 x-6
y=3/2 x -5
Step-by-step explanation:
slope of tangent line is equal to slope of line that parallel
Solve the absolute value equation [x] - 2 = 5 to find the distance Mary can walk forward, x, in
5 seconds.
x = 7 m and x = -7 m
x=-3 m and x = 7 m
x = -7 m and x = 3 m
x = 3 m and x = -3 m
Answer:
the answer is x=7 and x=-7
Step-by-step explanation:
Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
Answer:
A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
Step-by-step explanation:
I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.
The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.
In other words, the function is a relationship between variables and the nature of the relationship.
In the given question
We know that a function is only a function such that there is a unique value of y corresponding to x.
An inverse function will only be a function if the function which is going to be inverse is a function.
In option (A) all value of x corresponding to y are different but in all remaining options the values are repeating hence that will be not a function since only (A) has to inverse
For more about the function
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what is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?
Answer:
5 2/5
Step-by-step explanation:
(2 1/4) / x = (1 1/2) / (3 3/5)
so
x = (2 1/4) * (3 3/5) / (1 1/2)
plz help me im crying
Answer:
B
Step-by-step explanation:
You just do 113,000 - 71,500= 41,500
A movie theater sends out a coupon for 90% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
9x10^7 is how many times as large as 3x10^3
9x10^7
10x10=100x10=1,000
1,000x10=10,000
10,000x10=100,000
100,000x10=1,000,000
1,000,000x10=10,000,000
10,000,000x9=90,000,000
3x10^3
10x10=100x10=1,000
1,000x3=3,000
90,000,000/3,000=30,000
So 9x10^7 is 30,000x larger than 3x10^3
hope it helps!
9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.
What is Exponents?The number of times a number has been multiplied by itself is referred to as an exponent.
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Given:
9x [tex]10^7[/tex]
The number [tex]10^7[/tex] can be expanded as
[tex]10^7\\[/tex] = 10,000,000
and, 9x [tex]10^7[/tex] = 9 x 10,000,000
= 90,000,000
The number [tex]10^3[/tex] can be expanded as
[tex]10^3[/tex] = 1000
and, 3 x 10³ = 3 x 1000
= 3000
Then, 90,000,000/3,000
=30,000
Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.
Learn more about Exponents here:
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The highest ever recorded temperature on earth was 136°F in the US and the lowest was − ° 129 F in Antarctica. What is the difference of these temperatures recorded on Earth?
Answer:
136 + 129= 265
Step-by-step explanation:
when you're finding the difference and one number is positive and the other is a negative number you will add the negative instead of add them together so you would 129 to 136 which would equal 265. this rule applies to the opposite too. if both numbers are positive, then you would subtract them.
Simplify the equation -4(2x-4)
Answer:
-8x + 16
Step-by-step explanation:
This is called expanding brackets in algebra
1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside
-4 x 2x = 8x
-4 x -4 = 16
Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)
Answer:
4x
Step-by-step explanation:
P = S + S + S
P = x + x + 3 + 2x - 3
P = 4x
could somebody please help me graph this function?? 40 points <3
Answer:
root (0,0)
domain x= all reall numbers
range y= all real numbers
Vertical intercept (0,0)
four and five thousand three ten-thousandths
Write the number
Answer:
4.0503
Step-by-step explanation:
Solve the equation below
Answer:
A)2A/h-b2
Step-by-step explanation:
A=h(b1+b2)/2
2A=b1h+b2h
2A-b2h=b1h
b1=2A-b2h/h
b1=2A/h-b2h/h
b1=2A/h-b2
Hope it is helpful for you
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How many intersecting planes are there in a cube?
Answer: a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.
Step-by-step explanation:
Answer:
The cube has nine symmetry planes. Three planes lie parallel to the side squares and go through the centre (picture). Six planes go through opposite edges and two body diagonals. They divide the cube into prisms
I need to find the slope of the line
Answer:
4/1
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
because if you go from one point to the next, it is 4 up and 1 across, therefore 4/1, or 4 :)
Find f(k - 1) when f(x) = 5x^2+ 4x – 5.
Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.
[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]
[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]
[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]
[tex]f(k-1)=5k^2-6k-4[/tex]
Hope this helps.
頑張って!
f(k-1) = 5k² - 4k - 4
The given function is:
f(x) = 5x² + 4x - 5
To find f(k-1), substitute x = k-1 into f(x)
f(k-1) = 5(k-1)² + 4(k-1) - 5
f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5
f(k -1) = 5k² - 10k + 5 + 4k -9²
Collect like terms
f(k-1) = 5k² - 10k + 5k + 5 - 9
Simplify
f(k-1) = 5k² - 4k - 4
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Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 3.14 + 0.62 = ___.
Answer:
3.7
Step-by-step explanation:
3.14 + 0.62 = ___.
Step 1
Round each decimal to the nearest tenth
3.14 to the nearest tenth = 3.1
0.62 to the nearest tenth = 0.6
Step 2
Solve the addition equation
= 3.1 + 0.6
= 3.7
Answer:
3.7
Step-by-step explanation:
3.14 + 0.62 = ___...........
Step 1
Round each decimal to the nearest tenth
3.14 to the nearest tenth = 3.1
0.62 to the nearest tenth = 0.6
Solve for X. x squared = 49 show your work
Answer:
+ 7 or - 7
Step-by-step explanation:
x^2 = 49
x = (49)^1/2 (1/2 means nothing but square root)
x = + or - 7
I said this answer because you square 7 and -7 and still get 49
Help with this math problem 4/3•5/2
Answer:
The answer is 10/3 or 3 1/3
Step-by-step explanation:
Hope this helps
y+9÷2=y-3÷4-(y/3)
pls help
Answer:
y = - [tex]\frac{63}{4}[/tex] or - 15.75
Step-by-step explanation:
Order of operations.
y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.
y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]
[tex]\frac{9}{2}[/tex] = - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Add [tex]\frac{3}{4}[/tex] to each side
[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]
[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex] Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4
[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]
[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]
[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex] Multiply each side by 3
[tex]\frac{21}{4}[/tex] * 3 = - [tex]\frac{y}{3}[/tex] * 3
[tex]\frac{63}{4}[/tex] = - y Divide each side by -1
y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]
y = - 15.75
Step-by-step explanation:
There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.
y+9÷2=y-3÷4-(y/3)y - y + y/3 = - 3/4 - 9/2 ⇒ combining like termsy/3 = -3/4 - 18/4y/3 = -21/4y = -21/4*3y = -63/4y = - 15 3/4===============
(y+9)÷2=(y-3)÷4-(y/3)12*(y+9)/2 = 12* (y-3)/4 - 12*y/3 ⇒ this is to get rid of fraction6(y+9) = 3(y-3) - 4y6y + 54 = 3y - 9 - 4y6y + 54 = - y - 96y + y = - 9 - 547y = - 637y/7 = -63/7y = -9