The distance between two points:
[tex] \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }[/tex]
From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:
[tex] \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } [/tex]
Hence the distance between two points is √89.
Answer
√89What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.
Answer:
The required slope is equal to -1/2.
Step-by-step explanation:
The given equation of line is :
x + 2y = 10
A line parallel to this line has the same slope. To determine the slope, solve for y to change the equation to slope-intercept form:
y = mx+b .....(1)
2y = 10 -x
Dividing both sides by 2.
[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)
Comparing equations (1) and (2),
m = -1/2
Hence, the required slope is equal to -1/2.
evaluate 25C22-24C21
Answer:
276
Step-by-step explanation:
25!/22!(25-22)! - 24!/21!(24-21)!
= 2300 - 2024
= 276
two hot airballoons are travelingalong the samepath away from town beginningfrom difrant locationsat the same time henery's balloon begins 15 miles from the town and is 31 miles from the town after 2 hours. the distanceof tasha'sballoon from the town is represented by the function y=5x+25
witch ball on was farther from the town at the beginning and which traveled more quickly?
A. tasha's balloon was further from the town at the beginning and it traveled more quickly.
B. Henry's balloon was further from the town at the beginning and it traveled more quickly.
C. Henry's balloon was further from the town at the beginning but tasha's balloon traveled more quickly
D. tasha's balloon was further from the town at the beginning but henery's balloon traveled more quickly
Answer: I think it is B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
tasha's ballon speed=5 mph
henrey's balloon speed=(31-15)/2=16/2=8 mph
tasha's initial distance was y=5×0+25 =25 miles
Henrey's balloon initial distance=15 miles
15/x=10/2
Find x please
Answer:
x=3
Step-by-step explanation:
15/x=10/2
Simplifying the right side
15/x = 5
Multiply each side by x
15/x *x = 5x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
The measure of 1 in the diagram below is 113º.
What is the measure of <4?
62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?
Answer:
7.8 for 1 cake so add that to your total
Step-by-step explanation:
Write an equation that represents the line?
y = 3/4x - 4.5
Where the line crosses the y-axis is how I got the -4.5
Slope is rise over run, so up 3 and right 4
(Time expired.) The graph shows the system of equations below.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Which statement is supported by the graph?
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
B. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is ( –2, –6).
C. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (2, –4).
D. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (–4, 2).
Answer:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
Here we have the system:
2x - 3y = -6
y = -(1/3)*x - 4
First, remember that if the slope is negative, then the equation is decreasing.
So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).
So the blue one represents the equation 2x - 3y = -6
Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)
This means that the solution of the system is (-6, - 2)
From this, we can see that the correct option is:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
1)) Click on the obtuse angle.
L
Answer:
second option is the answer
obtuse angle means the angle is larger than 90 degrees
(PRECALC) I need help on this one plz ❤️❤️❤️ help a girl out & the favor will be returned
Answer:
The coordinates of the P' point are (-17.3,-10).
Step-by-step explanation:
We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.
Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.
The x-component of the vector will be:
[tex]V_{x}=-Vcos(30)[/tex]
[tex]V_{x}=-20cos(30)=-17.32\: m[/tex]
It is negative because the component is in the negative x-direction.
The y-component of the vector will be:
[tex]V_{y}=-Vsin(30)[/tex]
[tex]V_{y}=-20sin(30)=-10\: m[/tex]
It is negative too because the component is in the negative y-direction.
Therefore, the coordinates of the P' point are P'(-17.3,-10)
I hope it helps you!
What is the volume of a cube with 3-inch edges, in cubic inches?
Answer:
Sorry don't know sis I am really sorry
Answer:
volume is the area multiplied by the depth. We also know it's a club so it's one side of 3 is true for all sides and depth.
its 3 x 3 x 3... which is 9 x 3 which is 27.
27 units cubed
Describe the slope of a line if either the rise or the run is a negative number
25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30
Answer:
Hello! answer: 30
Step-by-step explanation:
13 × 13 = 169
5 × 5 = 25
169 - 25 = 144
12 × 12 = 144 therefore 12 is the missing leg
so we will use this to find the area so...
12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!
Which equation represents the relationship between the x-and y-values shown in the table.
x. y
7. 17
5. 11
3. 5
2. 2
A. y=2x-1
B. y=x + 10
C. y=3x -4
D. y=2x + 1
C. y = 3x - 4
Step-by-step explanation:
Given coordinates:
(2, 2), (3, 5), (5, 11), (7, 17)
The equation of any straight line is
y = mx + c
Where
m = Gradient
c = Constant
Gradient = y2 - y1/x2 - x1
Substitute any two values of y with the respective values of x.
Gradient = 17 - 2/7 - 2
= 15/5
= 3
Substitute the gradient into the general formula.
y = 3x + c
Substitute any value of the coordinate to the equation
2 = 3(2) + c
2 = 6 + c
c = -4
From y = mx + c,
substitute the values of m, the gradient, and c, the constant.
y = (3)x + (-4)
y = 3x - 4
Consider the system of equations 2x + y = 11 and 4x – y = 25. What is the value of the x-coordinate of its solution?
Answer:
[tex]2x + y = 11 - - - (a) \\ 4x - y = 25 - - - (b) \\ (a) + (b) : \\ 6x + 0y = 36 \\ 6x = 36 \\ x = 6[/tex]
Which of the following choices shows another way to write the ratio 7:13?
A. 7 out of 13
b. 13 to 7
c. 52.84%
d. All of these choices are correct.
WORTH 40 POINTS!!!!!!!! I WILL MAKE U BRAINLIEST!!!! PLEASE ANSWER ALL QS
You cannot force me to answer these questions.
bestie that is worth more than 15 pts
Harry buys 6 yards of rope to make a swing. Lenny spends $16 on rope.
How much do the two boys spend in all?
A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33
Answer:
c. 0.17
Step-by-step explanation:
The bag have 4 + 2 + 6 = 12 balls.
There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:
2/12 = 1/6 = 0.1666 ≈ 0.17
The expected value of the random variable that assigns the number of red marbles to each outcome is 0.17.
What is the probability?Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.
Expected value = number of red marbles / total number of marbles
2/12 = 0.17
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
Pls help me simplify thisss
9514 1404 393
Answer:
2a(a^3 +a^3 b^2 +a b^2 +b^3)/(a^2 +b^2)
Step-by-step explanation:
Division is the same as multiplication by the inverse. Multiplication and division proceed left-to-right. So, we can rewrite the expression as ...
[tex]\dfrac{a^3+a^3b^2+ab^2+b^3}{2a(a-b)^2}\times\dfrac{a^2-b^2}{a+2b}\times\dfrac{a^2+ab-2b^2}{a+b}\times\dfrac{4a^2}{a^2+b^2}\\\\=\dfrac{(a^3+a^3b^2+ab^2+b^3)(a-b)(a+b)(a+2b)(a-b)(4a^2)}{2a(a-b)^2(a+2b)(a+b)(a^2+b^2)}\\\\=\dfrac{4a^2}{2a}\cdot\dfrac{(a-b)^2}{(a-b)^2}\cdot\dfrac{a+2b}{a+2b}\cdot\dfrac{a^3+a^3b^2+ab^2+b^3}{a^2+b^2}\\\\=\boxed{\dfrac{2a(a^3+a^3b^2+ab^2+b^3)}{a^2+b^2}}[/tex]
use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.
Answer:
2/5a + 4b + 1/6c
Step-by-step explanation:
Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3bWhich of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2
Answer:
A
Step-by-step explanation:
the given equation can be simplified to 12m+17
so if we simply the other options we see that A = 13m+17
The table shows the advertised prices of different quantities of DVDs at several discount electronics stores.
A 2-column table with 3 rows. Column 1 is labeled Store with entries Bernie's Bargains, Greg's Giveaways, Stan's Steals. Column 2 is labeled DVD Advertised Prices with entries 6 D V D s for 59 dollars and 70 cents, 10 D V D s for 99 dollars and 70 cents, 8 D V D s for 79 dollars and 68 cents.
How much do 15 DVDs cost at the store with the lowest unit price?
Answer:
149.25
Step-by-step explanation:
Man I did the question and i got it wrong so after the second time of getting it wrong it gave me the answer.
3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by miles per hour. After hours, they are miles apart. What are the rates of the trucks? Use the table below to organize your work
Answer:
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = 62.5 miles/hour
Step-by-step explanation:
Using missing information;
Assume;
Speed of the slower truck = a
Speed of the faster truck = a + 5
Distance traveled by the slower truck = d
Distance traveled by the faster truck = 600 - d
So,
a(5) = d ........ Eq1
(a+5)(5) = 600 - d
5a + 25 = 600 - d
So,
5a + 25 = 600 - 5a
10a = 575
a = 57.5
Speed of the slower truck = 57.5 miles/hour
Speed of the faster truck = a + 5
Speed of the faster truck = 57.5 + 5
Speed of the faster truck = 62.5 miles/hour
which equation represents a linear function that has a slope of g and a y-intercept of -6
o y--3x+2
o y-4x-6
o y-4x+6
o y-8x+
Answer:
B
Step-by-step explanation:
the slope of the line is the number that multiplies the x
the y intercept is the constant therm
Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
Answer:
n = 90 - 62
n = 28º
m = 180 - (62 + n + 27)
m = 180 - (62 + 28 + 27)
m = 180 - 117
m = 63º
Which is the best explanation for why − √ 10 is irrational?
Step-by-step explanation:
- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.
Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.
What is the quotient?
Answer:
I'm not good at math
Step-by-step explanation:
Help please someone
Answer: step by step explanation
it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.
