The distance between the points (3,4) and (-2,-1) is found being 5√2 units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We've to find the distance between two points
(p,q) = (3,4)
and (x,y) = (-2, -1)
We get it as:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}\\\\D = \sqrt{(-2-3)^2 + (-1-4)^2} \\\\D = \sqrt{5^2 + 5^2} = 5\sqrt{2} \: \rm units[/tex]
Thus, the distance between the points (3,4) and (-2,-1) is found being 5√2 units.
Learn more about distance between two points here:
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Which statements describe the graph of y = 4x2 28x 49? check all that apply. the graph has two x-intercepts because 4x2 28x 49 has two different factors. the equation 2x 7 = 0 can be used to find a zero of the function. the equation (2x – 7)2 = 0 can be used to find the y-intercept. the graph has a double root at x = startfraction negative 7 over 2 endfraction. the graph intersects the y-axis at y = 49.
The true statements about the graph y = 4x2 + 28x + 49 are as follows;
(b) The equation 2x + 7 = 0 can be used to find a zero of the function.
(d) The graph has a double root at x = -7/2.
(e) The graph intersects the y-axis at y = 49.
What is the function of the graph?The graph of a function f is the graph of the equation y = f (x).
The function is given as:
[tex]\rm y = 4x^2 + 28x + 49[/tex]
Express 28x and 14x + 14x; so, we have:
[tex]\rm y = 4x^2 + 14x+14x + 49[/tex]
Factorize
[tex]\rm y = 4x^2 + 14x+14x + 49\\\\y = 2x(2x+7)+7(2x+7)\\\\y=(2x+7)(2x+7)[/tex]
Express as a perfect square
[tex]\rm y = (2x+7)^2[/tex]
This means that the graph of the equation has a double root.
It also means that 2x + 7 = 0 can be used to determine the root/zero of the function.
Substitute 0 for x in to determine the y-intercept
[tex]\rm y = (2x+7)^2\\\\\rm y = (2(0)+7)^2\\\\\rm y = (0+7)^2\\\\y=49[/tex]
This means that the graph intersects with the y-axis at y = 49
Hence, the true statements are (b), (d), and (e)
Read more about quadratic functions at:
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Answer:
b,d, and ,e
Step-by-step explanation:
trust i just did it
Help please i don't want to get held back
height of mt.= 4000meters
hope it helps...!!!
Find the slope for (9,4) and (0,5)
Answer:
Slope (m) =ΔY=1=1θ =arctan( ΔY)ΔX=45° =14π
ΔX = 9 – 5 = 4
ΔY = 4 – 0 = 4
Distance (d) = √ΔX2 + ΔY2 = √32 = 5.6568542494924
y = x – 5
When x=0, y = -5
When y=0, x = 5
Step-by-step explanation:
hope this helps If not please let me now
pls help due today the 2 questions are in the picture!!!!
Answer:
120°
Step-by-step explanation:
the angle is exceeding the 90° so it will be 120°
Need help with this!!
Answer:
∠ N = 42°
Step-by-step explanation:
the measure of a secant- secant angle is half the difference of the measures of the intercepted arcs , that is
∠ N = [tex]\frac{1}{2}[/tex] ( HE - XP ) = [tex]\frac{1}{2}[/tex] ( 122 - 38)° = [tex]\frac{1}{2}[/tex] × 84° = 42°
Is km ∥ jn? why or why not? no, because startfraction 16 over 10 endfraction not-equals startfraction 24 over 15 endfraction. yes, because startfraction 10 over 24 endfraction equals startfraction 15 over 16 endfraction. yes, because startfraction 16 over 10 endfraction equals startfraction 15 over 24 endfraction yes, because startfraction 16 over 10 endfraction equals startfraction 24 over 15 endfraction.
The answer is Yes because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction is correct.
From the diagram we have
Corresponding segments in triangles LKM and LJN are proportional, so the triangles are similar and KM ║ JN.
What is the meaning of a parallel line?The parallel line does not intersect each other
The other yes choice does not properly show corresponding segments
So, actually makes a false claim.
It is not true that 16/10 = 15/24.
To learn more about the fraction visit:
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Answer: Yes, 16/10 equals 24/15
Step-by-step explanation: bc im cool like that
14. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
6 mi
O 956.2 mi
O 886,1 mi
0
669 mi
O 904.3 mi
Answer:
Volume of the sphere is 904.3 mi³Step-by-step explanation:
Given that radius of the sphere is 6 miles. To find Volume of the sphere we will substitute the Value of radius in the given formula:
[tex] \\ \: \: \dashrightarrow { \underline{ \boxed { \pink{ \pmb{ \mathfrak {Volume_{(Sphere)} = \dfrac{4}{3} \pi r ^3 }}}}}} \\ \\ [/tex]
Substituting the required values:
[tex] \\ \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times {(6)}^{3} \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 3.14 \times 216 \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{4}{3} \times 678.24 \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: Volume = \dfrac{2712.96}{3} \\ \\ [/tex]
[tex] \: \: \dashrightarrow \sf \: \: { \underline{ \boxed{ \pink{ \pmb{ \mathfrak{Volume \approx 904.3 \: {mi}^{3} }}}}}} \\ \\ [/tex]
Hence,
Volume of the sphere is 904.3 mi³Step-by-step explanation:
Given :-
radius of sphere = 6miTo find =
Volume of sphereSolution =
Volume of sphere = 4/3 πr³
putting the known values ,
Volume = 4/3 × 3.14 × 6³ mi³
Volume = 904.32 mi³
rounding off to nearest tenth ,
Volume = 904.3 mi³
A. 100 degrees
B. 130 degrees
C. 65 degrees
D. 70 degrees
One side of an enlargement of the rhombus is shown by the dotted line.
A)Complete the enlarged rhombus.
B) What is the scale factor of the enlargement?
HELP
Answer:
A) see attached
B) 2
Step-by-step explanation:
A)See the attachment for a completed enlargement of the given rhombus.
__
B)The enlarged side shown in the problem statement is twice as long as the nearest parallel side of the rhombus. The scale factor is the ratio of the enlarged side length to the original side length: 2 : 1. The scale factor is 2.
_____
Additional comment
There are several ways you can determine the scale factor. The endpoints of the image side are twice as far from the center of the rhombus as the original rhombus vertices. (The original extends 1 unit left, for example, while the enlargement is 2 units left.)
The length of a side of the original (blue) rhombus is the diagonal of a 1×2 rectangle on the grid. The drawn side of the image is two such lengths.
need answers quicklyyyyyyyyyyyyyyyyyyyyy will give the brainiest and 80 points
1:Simplify the following expression completely for x = 4. (Leave your answer as a fraction or whole number. Remember, you may need to substitute 4 in for x and then solve.)
14(x^-2) this is 1
2:Which expressions have values less than 1 when x = 4? Select all that apply.
1>(3/x^2)^0
2>x^0/3^2
3>1/6^-2
4>1/^-3
5>3x^-4
Answer:
i think 4>1/^-3 im not sure tho i hope this helps
Step-by-step explanation
Answer:
1.(3/(4)^2)^0=1
2.(4)^0/3^2-0.1111111111
3.1/6^-2=36
4.1/(4)^-3=64
5.3(4)^-4=4.82253086×10−5
Step-by-step explanation:
hope this helps
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Looking at the stock performance chart below, which company has overall
outperformed the Dow Jones (DJI)?
O A. Domino's Pizza (DPZ)
O B. McDonald's (MCD)
O C. Papa John's Pizza (PZZA)
O D. Jet Blue (JBLU)
Answer:
We cant see the full image.
Step-by-step explanation:
Which expression is equivalent
Answer:
The answer is 5 or D
Hope this helps!
help me pleaseeeeeeeeee
Answer:
g(-2) = -1
Step-by-step explanation:
By looking at the graph, we can see that g(-2) where x = -2 is represented. Because x = -2, we can see that the y-value that correlates to this x-value is -1.
So g(-2) = -1.
fine using distributive
(7/27×9/36)+ (9/36×5/54)
Answer:
GCF and the Distributive Property - YT here is a yt video on how to do it hope it helps i just looked up the answer
Step-by-step explanation:
Pls hurry and ty!!!!
Answer: 64
Step-by-step explanation:
So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.
Answer:
64 feet
Step-by-step explanation:
LxHxW
4x4x4
64 feet
Which of the following represents the sum of the series below? 4 7 10 13 16 19 22 25 28 31 34 37 40
The sum of the given series 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40 will be 286.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
The series is given below.
4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40
Then the sum of the series will be
[tex]\rm S = \dfrac{n}{2}(a + L)[/tex]
where n is the total number of the terms, a is the first term, and L is the last term. Then we have
a = 4
L = 40
n = 13
Then
[tex]\rm S = \dfrac{13}{2}(4 + 40)\\\\S = \dfrac{13}{2} \times 44\\\\S = 13 \times 22\\\\S = 286[/tex]
More about the series link is given below.
Series - https://brainly.com/question/10813422
Evaluate 7+ (-3x?) for x = 0.
Answer:
it's just 7
Step-by-step explanation:
because if x is 0 then -3 times 0 will be 0 and 7 + 0 is 7
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read the instruction first
complete answe= Brainliest answer
Answer:
Step-by-step explanation:
3)
[tex]\sf \boxed{v_{f}^{2}=v_{i}^{2}+2gd_{y}}\\\\v_{f} - > final \ velocity\\\\v_{i} - > Initial \ velocity = 0 \\\\d_{y} - > distance \ travelled[/tex]
g -> gravitational acceleration = 9.8 m/s²
[tex]v_{f}^{2}= 0 + 2*9.8 * 45[/tex]
= 882 m
[tex]\bold{\huge{\underline{ Answer }}}[/tex]
Answer 1 :-Here, We have
Initial velocity = 0 , as jeepney started from rest Time = 2 seconds Distance = 20 mTherefore,By using second equation of motion
[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]
Subsitute the required values,
[tex]\sf{ 20 = 0{\times}2 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}a(2)^{2}}}[/tex]
[tex]\sf{ 20 = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4a}}[/tex]
[tex]\sf{ 20 = 2a }[/tex]
[tex]\sf{ a = }{\dfrac{ 20}{2}}[/tex]
[tex]\sf{ a = 10\:m/s^{2}}[/tex]
Hence, The acceleration of the jeepeny is 10 m/s² .
Answer 2 :-Here, we have
Initial velocity = 0 , as the coins started rolling from rest. Acceleration = 4 m/s²Time = 3 secondsTherefore,
By using second equation of motion
[tex]\sf{ S = ut {\times} }{\sf{\dfrac{1}{2}}}{\sf{at^{2}}}[/tex]
Subsitute the required values,
[tex]\sf{ S = 0{\times}3 {\times} }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(3)^{2}}}[/tex]
[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}4(9)}}[/tex]
[tex]\sf{ S = }{\sf{\dfrac{1}{2}}}{\sf{{\times}36}}[/tex]
[tex]\sf{ S = 18 \: m }[/tex]
Hence, The coin will reach 18 m after 3 seconds.
Answer 3 :-Here,
A stone fell from a 45 m high cliff and hit the ground.So,
Initial velocity = 0Distance = 45 mAcceleration due to gravityBy using third equation of motion
[tex]\sf{ v^{2} = u^{2} + 2gs }[/tex]
Subsitute the required values,
[tex]\sf{ v^{2} = 0^{2} + 2{\times}9.8{\times}45 }[/tex]
[tex]\sf{ v^{2} = 90{\times}9.8}[/tex]
[tex]\sf{ v^{2} = 882 m}[/tex]
[tex]\sf{ v = \sqrt{882} m}[/tex]
[tex]\sf{ v = 29.7 m/s}[/tex]
Hence, The final velocity of the stone when the stone hits the ground is 29.7 m.
If triangle RST and triangle XYZ are similar, which of these equations must be true?
Answer: A
Step-by-step explanation:
If they are similar, that means the proportions for corresponding sides will be the same.
I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.
(A) says that side ST is corresponding with side YZ,
[] Triangle RST and triangle XYZ
-> Correct
(A) also says that side RT is corresponding with size XZ,
[] Triangle RST and triangle XYZ
-> Correct
This means that option A is the correct answer.
Find the least number 1008 would need to be multiplied by to give a square number :)
Answer:
7
Step-by-step explanation:
1008 Must be multiplied by 7 to get a a perfect square.
True or false. A complete graph is planar
Answer:
true
Step-by-step explanation:
Please help
I will give a maybe brainly 3-5 stars and a thanks
Let's simplify this equation:
⇒ first, consider what we can simply typically
A variable is a letter whose value is unknown in an algebraic expression.The coefficient is a numerical value used together with a variable.A constant is a term that has a definite value.Like terms are variables with the same letter and power. Like terms can sometimes contain different coefficients.By considering the equation given
⇒ we can simply simplify the coefficient of the variable with the
denominator
[tex]\frac{20v}{5} =\frac{5*4*v}{5} =\frac{5}{5}*4*v =1*4*v=4v[/tex]
Thus the simplified expression is 4v
Answer: 4v
Hope that helps!
Please help I need it urgent I will give brainlest and heart plus an Amazon gift 25$
sides
13 X 42 = 546 square foot there are four of these
546 X 4 = 2184 square foot.
triangles
A= 0.5 X b X h
0.5 X 13 X 12 = 78 square foot again there are four of these 78 X 4 = 312 square foot
2184 + 312 = 2496 square foot
2496/277 = 9.010
9 gallons of paint will need to be purchased.
Answer:
9 gallons
Step-by-step explanation:
find the circumference of the circle
Answer:
25.133cm
Step-by-step explanation:
Im assuming 8cm is the diameter
circumference = πd
8π=25.133
Brainliest would be very much appreciated
News cameras take an overhead picture of a part of a crowd at an outdoor event. journalists then count the number of people in the picture and use the sample to estimate the total number of people in the crowd. this process is an example of random sampling. stratified sampling. systematic random sampling. cluster sampling.
The given process is an example of a cluster system.
What is the cluster system?The clustered systems are a combination of hardware clusters and software clusters.
The hardware clusters help in sharing of high-performance disks between the systems.
The software clusters makes all the systems work together.
Each node in the clustered systems contains the cluster software.
A cluster refers to a group of inter-connected computers where it works together to support applications and middleware (e.g. databases).
In a cluster, each & every computer is known to be a “node”.
To know more about the cluster system click the link given below.
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Answer: D. cluster sampling
Step-by-step explanation:
Sal and Zack built a scale model of the Texas Capitol using a scale in which 2 inches represents 8 feet. The height of the Texas Capitol is 312 feet.
Problem
What is the height of the scale model in inches?
Fractions are rations of two integers. The height of the scale model in inches is 78 inches
Ratio and proportionsFractions are ratios of two integers and they are also used to represent ratios.
Given that scale model of the Texas Capitol is 2 inches to represents 8 feet, the height of the capitol in inches is the heght in feet is 312 feet is expressed as:
Height = 312 * 2/8
Height in inches = 312/4
Height in inches = 78 inches
Hence the height of the scale model in inches is 78 inches
Learn more on proportion here: https://brainly.com/question/19994681
Evaluate −3x + 2 for x = −2.
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
→ Answer :-[tex]\sf{8}[/tex]
→ Explanation :-We can do the quicker way, or the long way.
The quicker way is:
[tex]\sf{(-3)(-2) \: + \: 2}[/tex][tex]\sf{= 6 \: + \: 2}[/tex][tex]\sf{= 8}[/tex]The long way is:
Evaluate −3x + 2 for x = −2.
Evaluate of [tex]\sf{3x^2 \: + x \: -2 \: of \: x = -2}[/tex]Do the expression of [tex]\sf{x = -2}[/tex] in the expression.[tex]\sf= {3(-2)^2 \: + \: (-2) \: -2}[/tex][tex]\sf{= 3(4) -2 \: -2}[/tex][tex]\sf{= 12 \: - 4}[/tex][tex]\sf{= 8}[/tex]Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative startfraction one-third endfraction x plus 5.x 9 y = –y equals negative startfraction one-third endfraction x plus 5.x 5 y = –3x – 11y y = –3x 25
The equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
What is the slope of the equation?For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.
The slope of the line is;
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m =\dfrac{7-6}{-6-(-3)}\\\\m = \dfrac{1}{-3}[/tex]
The equation represents the line that passes through (–6, 7) and (–3, 6) is;
[tex]\rm y=\dfrac{-1}{3}x+b\\\\6=\dfrac{-1}{3}(-3)+b\\\\6=1+b\\\\b = 6-1\\\\b=5[/tex]
The required line of the equation is;
[tex]\rm y =mx+c\\\\y=\dfrac{-1}{3}x+5[/tex]
Hence, the equation represents the line that passes through (–6, 7) and (–3, 6) [tex]\rm y=\dfrac{-1}{3}x+5[/tex].
To know more about the equation of line click the link given below.
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Answer:
I'm pretty sure the answer is B sorry if I'm wrong
Step-by-step explanation:
SOLVE.
1/2 (X-3/4) = 5/12
[tex]~~~~~\dfrac 12 \left(x-\dfrac 34 \right) = \dfrac 5{12}\\\\\\\implies \dfrac{4x-3}4= \dfrac{5 \times 2}{12}\\\\\\\implies 4x-3 = \dfrac{5 \times 2 \times 4}{12}\\\\\\\implies 4x -3=\dfrac{40}{12}\\\\\\\implies 4x -3 = \dfrac{10}3\\\\\\\implies 4x = \dfrac{10}3 +3\\\\\\\implies 4x = \dfrac{19}3\\\\\\\implies x = \dfrac{19}3 \times \dfrac 1 4\\\\\\\implies x = \dfrac{19}{12}[/tex]
Two inscribed angles that intercept the same arc are.
Answer:
In a circle, any two inscribed angles with the same intercepted arcs are congruent. Hope this helps!