Answer:
-5
I hope this helps!
On highway 77, the Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4), how far is it from the Elkin exit to the Mt. Airy exit.
Given :
The Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4).
To Find :
How far is it from the Elkin exit to the Mt. Airy exit.
Solution :
E(-5,-2) , D(-1 ,4 ) .
It is also given that Dobson exit is halfway between the Mt. Airy exit and the Elkin exit.
Let , location of Elkin exit is A(h,k) .
So , point D in terms of A and E is given by :
[tex](\dfrac{h-5}{2},\dfrac{k-2}{2})[/tex] .
Comparing it with given D :
[tex]\dfrac{h-5}{2}=-1\\\\h=3[/tex] [tex]\dfrac{k-2}{2}=4\\\\k=10[/tex]
Therefore , the location of Mt. Airy exit is ( 3, 10 ) .
Distance between Elkin exit to the Mt. Airy exit.
[tex]D=\sqrt{(5-3)^2+(-2-10)^2}\\\\D=12.17\ units[/tex]
Therefore , distance between Elkin exit to the Mt. Airy exit is 12.17 units .
Hence ,this is the required solution .
The table shows the distance that two trains are from Center Station at various times of the day.
Miles From Center Station
Time of day
Train 1
Train 2
11:30
13
7
12:00
31
27
12:45
58
57
How do the speeds of the trains compare?
Train 1 is traveling 1 mile per hour faster than train 2.
Train 1 is traveling 6 miles per hour faster than train 2.
Train 2 is traveling 4 miles per hour faster than train 1.
Train 2 is traveling 5 miles per hour faster than train 1.
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation:
Answer:
Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation
:)))))
negative sixteen plus the quotient of a number and -4 is -3
Answer:
The number is 76
Step-by-step explanation:
3. Which is the most precise measurement?
120 cm
128 cm
128.77 cm
128.8 cm
I think it is 128.77 cm. Because it has the most numbers, and it is presice.
Solve for a brainlist
(Goes to first person)
7•3=?
Answer:
21Step-by-step explanation:
[tex]7\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:7\cdot \:3=21\\=21\\[/tex]
Answer:
21
Step-by-step explanation:
Given h(x) = -3x – 5, solve for x when h(x) = –2.
The value of x will be equal to -1 when the value of h(x) is -2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that h(x) = -3x – 5, and the value h(x) = -2. The value of x will be calculated as below:-
h(x) = -3x – 5,
-2=-3x -5
3=-3x
x=-1
Therefore, the value of x will be equal to -1 when the value of h(x) is -2.
To know more about an expression follow
https://brainly.com/question/17032627
#SPJ2
Create a table and graph the equation y+3x=x^2. Identify the intercepts (if any)
Answer:
.
Step-by-step explanation:
arun had 50 rupees if he had spent 3 by 5 of his money on an alarm clock how much money is he left with him
Answer:
total money=rupees 50
3/5 of 50= rupees 30
money he spent = rupees 30
money he's left with =50-30=20
mark this as brainliest!!!!
pls follow me!!
Answer:
Step-by-step explanation:
like u told me social studis
<3
The table above gives selected values of twice-differentiable functions f and g, as well as the first two derivatives of g. If f′ (x)=3 for all values of x, what is the value of [tex]\begin{equation}\int_{2}^{4} f(x) g^{\prime \prime}(x) d x\end{equation}[/tex]
Answer:
63
Step-by-step explanation:
∫₂⁴ f(x) g"(x) dx
Integrate by parts.
If u = f(x), then du = f'(x) dx.
If dv = g"(x) dx, then v = g'(x).
∫ u dv = uv − ∫ v du
= f(x) g'(x) − ∫ g'(x) f'(x) dx
f'(x) is constant at 3, so:
= f(x) g'(x) − ∫ 3 g'(x) dx
= f(x) g'(x) − 3 g(x)
Evaluate from x=2 to x=4.
[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]
[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]
64 − 1
63
The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
Given that,
The table above gives selected values of twice-differentiable functions f and g,
The first two derivatives of g. If f′ (x) = 3 for all values of x.
We have to determine,
What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].
According to the question,
To obtain the value of given function, integrating the function,
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]
Integrating by using by-parts.
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]
Then,
[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]
if f'(x) is constant at 3,
Then,
[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]
Substitute from x = 2 to x = 4 then evaluate,
[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]
Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
To know more about Integration click the link given below.
https://brainly.com/question/14716088
2/3 of the difference of a number t and 8
Answer:
Step-by-step explanation:
Begin at the end. By this I mean to start at the end of that expression and work your way backwards to the beginning. "The difference of t and 8" looks like this: t - 8. "2/3 of" means we are multiplying (the word "of" means to multiply): 2/3(t - 8) is your algebraic translation of that expression.
The required mathematical expression of a statement is 2 / 3 (t - 8 ).
Given that,
To transform the statement into the mathematical form,
2/3 of the difference between a number t and 8
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
given statement,
2/3 of the difference between a number t and 8
implies,
The difference between t and 8 is,
= t - 8
Now the difference is 2/3, now the statement become,
= 2 / 3 (t - 8 )
above equation is the required mathematical expression.
Thus, the required mathematical expression of a statement is 2 / 3 (t - 8 ).
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
5x +14+13x-2 i need help on these type of problems please
Answer:
18x+12
Step-by-step explanation:
5x+14+13x-2
combine Like terms:
5x+13x
14-2
18x+12
Answer:
The answer is 18x+12.
I think after 14 there should equal sign if you want to know what x equals to.
An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division
Answer:
no
Step-by-step explanation:
A point lies on AB and is 1/4 the distance from A to B. Point A is located at (2, 8) and point B is located at (8, 5).
What are the coordinates of this point?
Answer:
[tex](\frac{7}{2} ,\frac{29}{4} )[/tex]
Step-by-step explanation:
9z − 6z − –7z + –4 = 16 z=
Answer:
z=-[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Evaluate m+n for m = 9 and n=7
Answer:
16
Step-by-step explanation:
Step-by-step explanation:
M=9 so m+n becomes 9+n.
N=7 so 9+n becomes 9+7.
9+7=16
the circumference of a circle is 264 cm find its area
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
9000 divided by thirty six long division***
Answer:
250
Step-by-step explanation:
can someone please help me i don’t understand it
Answer:
d= bv + r
Treat it like you would a normal equation. Multiply by b and add r to isolate d.
5. What single rigid motion can move the solid figure onto the dashed figure?
Translation
Dilation
Reflection
Rotation
Answer:
Rotation
Step-by-step explanation:
If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.
Irrational numbers definition
please solve this step by step I'll mark you as brainliest b(a-6)=
y - 1 > -7 A.y ≥ -6 B.y > -6 C.y -8
can yall pls help me im kinda dumb
The answer is D.
Turning fractions into decimals will help you eliminate answers!!
How I got D:
-2 3/4 can be turned into -2.75 by dividing 3/4.
-2 3/4 is the smallest number out of all of them so it has to be first.
-2.67 is the second smallest value.
3/5 is .60 making it the third smallest value.
4 is the second largest value.
17/4 is 4.25, which is the largest.
A is not correct because -3/5 is not the smallest number.
B Is not correct because the largest number is 17/4.
C is not correct because -2.67 is not the smallest number.
3y + 8 = ½ y + 28 Find y
[tex]\text{Hi there! :]}[/tex]
[tex]\large\boxed{y = 8}[/tex]
[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]
How to write y = -4(x+6)(x-8) into standard form
Step-by-step explanation:
y = -4(x+6)(x-8)
= -4[x²-2x-48]
= -4x²+8x+192
What is standard form?
Y = mx + b
O Ax+By = C
a^2 + b^2 = 2^2
m is the slope
Answer:
I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.
Step-by-step explanation:
A queen ant lays 1.83 x 10^6 eggs over a period of 30 days. Assuming she lays the same number of eggs each day, about how many eggs does she lay in one day? Express your answer in scientific notation.
(4 x 10^4) x (2 x 10^-5)
A) 8 x 10^1
B) 8 x 10^-1
C) 2 x 10^9
D) 6x 101-1.
Solve equation for y. 6=4x+9y
can someone please help me
Answer:
i think its 9, i dont exactly know
Step-by-step explanation: