Your friend calculates the distance between points Q(1,5) and R(3,8), as shown below. What is his error?
The distance between two points is the number of units between them.
The distance between Q and R is 3.61 units
It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.
The distance (d) between two points is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, the distance QR is:
[tex]QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}[/tex]
[tex]QR = \sqrt{(- 2)^2 + (- 3)^2}[/tex]
Evaluate exponents
[tex]QR = \sqrt{4 +9}[/tex]
[tex]QR = \sqrt{13}[/tex]
Take square root of 13
[tex]QR = 3.61[/tex]
Hence, the distance between Q and R is 3.61 units
Read more about distance at:
https://brainly.com/question/16310813
A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?
Step-by-step explanation:
Let +a+ = liters of 40% solution needed
Let +b+ = liters of 25% solution needed
+.4a+ = liters of HN03 in 40% solution
+.25b+ = liters of HN03 in 25% solution
------------------------------------
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(2) +a+%2B+b+=+57+
-----------------
(1) +.4a+%2B+.25b+=+.26%2A57+
(1) +.4a+%2B+.25b+=+14.82+
(1) +40a+%2B+25b+=+1482+
Multiply both sides of (2) by +25+
and subtract (2) from (1)
(1) +40a+%2B+25b+=+1482+
(2) +-25a+-+25b+=+-1425+
+15a+=+57+
+a+=+3.8+
and, since
(2) +a+%2B+b+=+57+
(2) +3.8+%2B+b+=+57+
(2) +b+=+53.2+
3.8 liters of 40% solution are needed
53.2 liters of 25% solution are needed
check:
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+
(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+
(1) +14.82+=+.26%2A57+
(1) +14.82+=+14.82+
think you should got the answer
A boutique sold $127.50 worth of purses. How many purses did they sell?
$7.50
Answer:
They sold 17 purses
Step-by-step explanation:
could someone please help answer this, no spam please, will give brainliest thank you!, (homework help)
Answer:
The answer would be B < - 1
PLS HELP WILL MARK AS BRAINLIEST
Answer:
26. the y intercept is -6
27. the y intercept is 2
28. the y intercept is -3
29. I cant answer because it is cut off in the picture...
Step-by-step explanation:
These equations follow a simple formula- the slope formula
y=mx+b
In this formula:
b is the y intercept
m is the slope that is multiplied by x
hope this helps:)
please crown me brainliest!!!
What is the measure of the supplement of each angle 117º
Answer:
The supplementary angle of 117° :
= 180° – 117°
= 63°
Solve.
Ms. Holmstrom set up a math problem to find out how much money her class spends for lunches at the cafeteria for over a 2-day period. On Monday, 14 students bought lunches in the cafeteria, and 16 students bought lunches on Thursday. If lunches cost $2.50 each, how much money has Ms. Holmstrom's class spent?
Answer:
They have spent $75
16+14 = 30
30 x 2.50 = 75
Step-by-step explanation:
witch equation represents a direct proportion?
Answer:
y=kx
Step-by-step explanation:
Can anyone solve this???
Answer:
4
Step-by-step explanation:
dmndndndndndnndndnndndnndndndnxmxn que la vida
how do i get the answer?
Answer:
37
Step-by-step explanation:
3 to the 3rd power is 3x3x3=27, (-5x-2)=10 because two negatives cancel each other out and make a positive, add 27 and 10 and that equals 37. Hope this helps :)
How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?
Answer:
ninety liters
Step-by-step explanation:
Ninety liters of the 50% acid solution have to be mixed with 90 liters of the 30% solution to yield 180 liters of 40% solution.
Write the equation for the line passes through (6, -2) and (-3, 1).
*You must show all your work to get credit.
PLS HELP DUE IN 10 min
Answer: y= -3x + 16
Step-by-step explanation:
I'm assuming that you mean a linear equation
So the first thing that you want to do is find the slope for the line.
1-(-2) / -3 - 6= -9/3= -3
Now that you have the slope you can pick one of the points to plug in.
-2 = -3(6) + b
We don't know what the y intercept is so we'll need to solve for that.
-2= -18 + b
add -18 to -2
16=b
so your equation will be
y= -3x + 16
What should I write ?
Answer:
It is true because 3/6 is that smallest fraction or "simplest form" of 6/12
Step-by-step explanation:
A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
Answer:
y = 10/9x + 9
Step-by-step explanation:
To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).
Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (0, 9)
and (x2, y2) = (9, 19)
Substitute these values on the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]
Therefore, the slope (m ) = 10/9.
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.
One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.
Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9
whats the 147th letter in this pattern abcd,abcd,abcd,abcd,abcd…
Explain and show your work
Answer:
the answer is abcdefgh because of that it explains the and
Answer: abcdefgh
Hope this helps
I needhelp with this math assignment
Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:
Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)
La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.
De la información proporcionada:
= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}El primer paso es abrir los soportes de adentro hacia afuera.
i.e.
= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + aAhora, el siguiente paso es la reorganización;
= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b= - 6a - 7b
Por factorización;
= - (6a + 7b)
Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).
Obtenga más información sobre la expresión algebraica aquí:
https://brainly.com/question/11227332?referrer=searchResults
Answer 6-7 thanks!!!!
simplify. 5 - 8 ÷ 2 + 4
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
5 - 8 ÷ 2 + 4
Step 2: Simplify
Division: 5 - 4 + 4Subtract: 1 + 4Add: 5Under his cell phone plan, Brandon pays a flat cost of $61 per month and $4 per
gigabyte. He wants to keep his bill under $75 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Brandon can
use while staying within his budget.
Inequality:
g=
Answer:
61 + 4x = 75
Step-by-step explanation:
75 - 61 = 14
14 / 4 = 3.5
He can only use 3 gigabytes.
Answer:
[tex]61 + 4g < 75 \\ 4g < 75 - 61 \\ 4g < 14 \\ g < 3.5[/tex]
The answer is g is less than 3.5 GB per month
Can someone pleas help me with this
I need help What is 2x+3y+z
Answer:
2x+3y+z
Step-by-step explanation:
There are no like terms. This equation cannot be simplified.
Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .
Enter your answer in the box, without spaces.
Answer:
[tex]\sf y=9x-5[/tex]
Step-by-step explanation:
[tex]\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned} [/tex]
En tu cuaderno resuelve las multiplicaciones usando el procedimientos diferentes en cada caso describe en qué consiste
Answer:
dos
Step-by-step explanation:
Ethan, Caleb, and Jayden went to a bakery to buy desserts. Ethan bought 2 cupcakes, 2
brownies and a pie for $20. Caleb bought 4 cupcakes, 4 brownies and a pie for $44, Jayden
bought 5 cupcakes and 6 brownies for $40. Write a system of equations to represent is
situation. Convert the system to a matrix and find the cost of 1 cupcake, 1 brownie, and 1
pie to the nearest cent.
Answer:
x = 32
y = -20 and
z = -4
Step-by-step explanation:
Cupcakes = X
Brownies = Y
Pies = Z
Ethan = 2x+2y+z = 20
Caleb = 4x+4y+z = 44
Jayden = 5x+6y = 40
-1(2x+2y+z=20) =
(-2x - 2y - z = -40) + (4x+4y+z=44)
= 5x + 6y = 40
-3(2x+2y=24 =
(-6 - 6y = -72) + (5x + 6y = 40)
= - x = - 32
= x = 32
5 (32) + 6y = 40
= 160 + 6y = 40
6y = 40 - 160
y = 120/6
y = - 20
2(32) + 2(-20) + z = 20
64 - 40 + z = 20
z = 20 - 24
z = -4
show work pleasee 15 points
Answer:
It's D; 32 ounces, because you get more for the price.
Answer:
A. 10 oz
Step by step explanation:
The question asks which one has the lowest unit price. The key word is unit, not just what is shown on the chart. You have to divide the price by the number of ounces to get the price for one ounce(unit). Then you look at all the prices and whichever one is the lowest is the answer. These are the unti prices after you divide the price by the number of oz
A=0.079
B=0.086
C=0.120
D=0.0996875
Identify the relationship between the pair of angles y and v PLZZZZ THANK YOUUUU
Answer:
Q1. angle x + angle y = 180°
Q2. angle x = angle y
Which of the following lists of values contain rational numbers only?
Group of answer choices
90, -1.375 , π
−81−−−√,7√7√,4.16
28−−√,0,313
639,116−−√,50−−√
Answer:
90, -1.375 , π
Step-by-step explanation:
For Exercises 8 and 9, find the lengths of all three sides of the triangle.
9514 1404 393
Answer:
8. GH = 49; HJ = 35; JG = 35
9. KL = 26, LM = 26, MK = 20
Step-by-step explanation:
8. The sides opposite the marked angles are congruent.
JG = JH
3x +8 = 35
3x = 27 . . . . . . . subtract 8
x = 9 . . . . . . . divide by 3
We already know JG and JH, so we only need to find GH:
GH = 6x -5 = 6(9) -5 = 54 -5 = 49
Then the side lengths are ...
GH = 49, HJ = 35, JG = 35
__
9. This, too, is an isosceles triangle.
LK = LM
26 = 2y+8
18 = 2y . . . . . . . subtract 8
y = 9 . . . . . . . divide by 2
KM = 3(9) -7 = 27 -7 = 20
Then the side lengths are ...
KL = 26, LM = 26, MK = 20
what is the answer to -3x + 6 = 2x - 24
-3x + 6 = 2x - 24
To FindValue of 'x' term
Solution[tex] -3x + 6 = 2x - 24 [/tex]
[Bringing 2x to left side and 6 to right side]
[tex] = > - 3x - 2x = - 24 - 6 \\ \\ = > - 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{ - 5} \\ \\ = > x = 6[/tex]
[tex] \fbox \red{Hope This Helps}[/tex]