Answers
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: What is the distance between A(-3, -4) and B(4, 5)?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-3, -4)[/tex][tex]\sf (x_2, y_2) = (4, 5)[/tex]Substitute the given values into the distance formula and solve for AB:
[tex]\sf AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf AB = \sqrt{[4 - (-3)]^2 + [5 - (-4)]^2}[/tex][tex]\sf AB = \sqrt{(7)^2 + (9)^2}[/tex][tex]\sf AB = \sqrt{49 + 81}[/tex][tex]\bold{AB = \sqrt{130} \approx 11.4 \: units}[/tex]Therefore, the distance between two points is [tex]\sqrt{130}[/tex] or 11.4 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437
Related Questions
what is the y-intercept of the line?
Answers
Answer:
the y-intercept is -2, hope this helps! :]
(0, -2)
Solution:The y-intercept is the point where the graph touches the y-axis.The y-intercept is usually written as (0, b) where "b" is the y-intercept.The graph touches the y-axis at (0, -2).Therefore, the y-intercept is (0, -2) or -2.Hope it helps.
Do comment if you have any query.
9
Which sets of side lengths could form a triangle? Choose all that apply.
A 4 cm, 6 cm, 9 cm
B
3 cm, 7 cm, 9 cm
C 3 cm, 4 cm, 9 cm
D 4 cm, 5 cm, 9 cm
E 5 cm, 5 cm, 9 cm
F 3 cm, 6 cm, 9 cm
Answers
Answer: B,E, C
Step-by-step explanation:
[tex] Find the area of the shape shown below.[/tex]
Answers
Answer:
60
Step-by-step explanation:
shape can be made into a trapezoid and square
rectangle area= a*b
triangle = 1/2 a*b
rectangle = 64
triangle = 4
64-4=60
9x81 simplfy in distributive proper
Answers
Answer:
the answer is 729.........
there are 90 people in a group.
a sixth of the people in the group are men.
the number of women in the group is 2 times the number of men in the group.
the rest of the people in the group are children
the number of children in the group : the number of men in the group = n:1
work out the value of n.
Answers
Answer:
45 children 15 men 30 women
Step-by-step explanation:
Which of the following is a difference of perfect square?
A) 4x^(2)+36
B) x^2+4
C) 9x^2-100
D) x^2-18
Answers
I think b. is the answer
but i am not sure..
whats a linear model?
Answers
Answer:
A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.
:)
Answer: A linear model is an equation that represents a relationship between two quantities at a constant rate of change.
A linear line can be represented by the equation: y=mx+b. This is also known as the linear equation.
HELP!!!!
Which type of angle is Angle A B C?
Angle A B C is a straight angle.
Angle A B C is a vertical angle.
Angle A B C is a right angle.
Angle A B C is a complementary angle.
Answers
Answer:
Angle ABC is a right angle. So option C is correct.
What is the right triangle?
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
The angle of a right angle is always 90 degrees.
IT is given that the Angle A B C is intersected by a line to form angles 25 degrees and 65 degrees.
If we add up 25 and 65 degrees, we get 90 degrees.
25 + 65 = 90
Thus, Angle ABC is a right angle because right angles are 90 degrees.
Therefore Angle ABC is a right angle. So option C is correct.
Step-by-step explanation:
Given point A (-9, -9) and B (5, -2) find the coordinates of point P on the directed line segment AB in the ratio 3:4.
Answers
Answer:
We have point P(-3,-6).
Step-by-step explanation:
We want to find a point P(x,y).
Since it is on the directed line segment AB in the ratio 3:4, it means that:
[tex]P - A = \frac{3}{3+4}(B - A)[/tex]
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
We apply this to both the x-coordinate and y-coordinate of P.
x-coordinate:
x-coordinate of A: -9
x-coordinate of B: 5
x-coordinate of P: x
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
[tex]x - (-9) = \frac{3}{7}(5-(-9))[/tex]
[tex]x + 9 = \frac{3}{7} \times 14[/tex]
[tex]x + 9 = 6[/tex]
[tex]x = -3[/tex]
y-coordinate:
y-coordinate of A: -9
y-coordinate of B: -2
y-coordinate of P: y
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
[tex]y - (-9) = \frac{3}{7}(-2-(-9))[/tex]
[tex]y + 9 = \frac{3}{7} \times 7[/tex]
[tex]y + 9 = 3[/tex]
[tex]y = -6[/tex]
We have point P(-3,-6).
25 feet in 4 seconds; 80 feet in x seconds write a proportion for each phrase and solve it
Answers
Answer:
12.8 seconds
Step-by-step explanation:
Create a proportion where x is the number of seconds for 80 feet
[tex]\frac{25}{4}[/tex] = [tex]\frac{80}{x}[/tex]
Cross multiply and solve for x
25x = 320
x = 12.8
So, the answer is 12.8 seconds
SOMEONE PLEASE HELP!!!!! PLEASE!!!
The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.5) and crosses the y-axis at (0, 1). g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 2, 1) and crosses the y-axis at (0, 6).
What is the value of h?
–2
0
2
5
I will also add the picture of the whole question
Answers
Answer:
-2
Step-by-step explanation:
Edge2021
Using translation concepts, it is found that the value of h is 5. so option D is correct.
What is a translation?A translation can be represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
When the expression of function is such that it involves the input to be present as exponent of some constant, then such function is called exponential function.
In this problem, function f(x) is defined by:
[tex]f(x) = (2.5)^x[/tex]
Function g(x) is defined by
[tex]g(x) = (2.5)^x-h[/tex]
OR
[tex]g(x) = (2.5)^x + g[/tex]
Since f(x) the y-axis at (0,1), while g(x) crosses it at (0,6), which means that g(x) is f(x) added to 5, hence h = 5.
Using translation concepts, it is found that the value of h is 5. so option D is correct.
You can learn more about translation concepts at brainly.com/question/21197885
#SPJ2
simplify 12p + 15 - 13- 12p
Answers
Answer: 2
Step-by-step explanation:You have to combine like terms
Answer:
the answwer is D
Step-by-step explanation:
hope it helps
can someone send the work for y=2x-1 y=2x+6
Answers
The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and approximately 95% of the heights are between 62 and 74inches. Thus, the standard deviation of the height distribution is approximately equal to
Answers
Answer:
Probably equal to 6 or 7.
Step-by-step explanation:
If the average crowdfunding campaign investment is about $90 and the average number of investors is about 80, what is the best approximation of the average amount raised in a crowdfunding campaign?
Answers
Answer:
A) $7200
Step-by-step explanation:
The required average amount raised in a crowdfunding campaign is $7200.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
The average crowdfunding campaign investment is about $90 and the average number of investors is about 80 which is given in the question.
To determine the average amount raised in a crowdfunding campaign.
The required average amount raised in a crowdfunding campaign is the product of the average crowdfunding campaign investment and the number of investors.
As per the given information,
The average amount raised = $90 × 80 = $7200
Therefore, the required average amount raised in a crowdfunding campaign is $7200.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
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what operation do i use to
solve 3.18 -16.70
Answers
Answer:
subtraction
Step-by-step explanation:
PLEASE I NEED HELPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Also, for the select the options are 23 or 16
Answers
Answer:
23
Step-by-step explanation:
4. The Smoothie Stand is selling their small smoothies for $4 for 16
ounces. If their rate is constant, how much would a large smoothie cost
if it is 32 ounces.*
Answers
Answer:
$8
Step-by-step explanation:
Answer: $8
Step-by-step explanation: you do 32/16 and get 2 and then you just multiple $4 x 2
A box contains 4 red marbles, 3 green marbles and 2 blue marbles. One marble is removed from the box and it is NOT replaced. Another marble is drawn from the box. What is the probability that the first marble is blue and the second marble is green?
Answers
The required probability is [tex]\dfrac{1}{12}[/tex].
Important information:
Red marbles = 4Green marbles = 3Blue marbles = 2Probability:Total number of marbles is:
[tex]4+3+2=9[/tex]
The probability of getting a blue marble is [tex]\frac{2}{9}[/tex].
After removing a marble, the number of remaining marbles is 8. So, the probability of getting a green marble is [tex]\frac{3}{8}[/tex].
Now, the probability that the first marble is blue and the second marble is green is:
[tex]P=\dfrac{2}{9}\times \dfrac{3}{8}[/tex]
[tex]P=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
Find out more about 'Probability' here:
https://brainly.com/question/10697254
The points (4,3) and (2, -1) fall on a particular line. What is its equation in slope-intercept
form?
ANSWER AS FAST AS YOU CAN PLS!!!!
Answers
please help me :)
i will give your answer a brainiest if it’s correct!
Answers
Answer:
a) 6ab
b) c⁶
c) 10y⁷
d) 12g⁴h⁵
PLEASE HELP ITS TIMED
Answers
Answer:
I think its A...........
Hellppppppppppppppppppppppppppppppppppp
please i will help you back one day if needed
Answers
Answer:
height from top to bottom
30
60
90
120
Change 4.8 meters into centimetres
Answers
Answer:
4.80
Step-by-step explanation:
Pls help with this ASAP
Answers
Answer:
answer is A
Step-by-step explanation:
hope this helps!
What is 4/3 divided by 5/2
Answers
Find the slope of the line that contains the following points.
Answers
slope is difference of the y-axis over difference of x-axis.
a. slope=
[tex] \frac{8 - ( - 12)}{17 - 17 } [/tex]
=infinity♾️ =tan 90°
b. slope=
[tex] \frac{ - 2 - 1}{ 6 - ( - 3)} [/tex]
= -3/9 = -1/3
What is the decimal expansion of 7/10?
Answers
Answer:
0.7 is the decimal expansion okok
Step-by-step explanation:
t is the letters in the word thinking
Answers
Answer:
u is the one on my mind rn
Step-by-step explanation:
HAHAHAHAHHAA XD
Solve the system by substitution.
y = -4x
23 - 5y = 44
Answers
[tex] \begin{cases} y = - 4x \\ 23 - 5y = 44 \end{cases}[/tex]
Substitute y = -4x in the second equation.[tex]23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x = \frac{21}{20} [/tex]
Substitute the value of x in any given equations. I will substitute the value of x in the first equation.[tex]y = - 4x \Longrightarrow y = - 4( \frac{21}{20} ) \\ y = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y = - \frac{21}{5} \\ y = - \frac{21}{5} [/tex]
Answer Check by substituting both values in two equations.First Equation
[tex]y = - 4x \Longrightarrow - \frac{21}{5} = - 4( \frac{21}{20} ) \\ - \frac{21}{5} = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\ - \frac{21}{5} = - \frac{21}{5} \: \: \: \checkmark[/tex]
Second Equation
[tex]23 - 5y = 44 \\ 23 - 5( - \frac{21}{5} ) = 44 \\23 - \cancel{5}( - \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \: \: \: \: \checkmark[/tex]
Both equations are true for the value of x and value of y.
Answer[tex] \begin{cases} x = \frac{21}{20} \\ y = - \frac{21}{5} \end{cases}[/tex]
Coordinate Point form
[tex]( \frac{21}{20} , - \frac{21}{5} )[/tex]
