A well is to be dug at the location in the diagram. Use the diagram for the parts.
The equation that represents the road is y= ______
Answers
Answer:
[tex] y = \frac{1}{6}x - 5 [/tex]
Step-by-step explanation:
The equation that represents the road can be written as [tex] y = mx + b [/tex]
Find, m = slope, and b = y-intercept of the line.
Using two points on the line, (-6, -6) and (6, -4), find the slope:
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} [/tex]
Substitute x = -6, y = -6, and m = ⅙ into [tex] y = mx + b [/tex] to find b.
[tex] -6 = \frac{1}{6}(-6) + b [/tex]
[tex] -6 = -1 + b [/tex]
Add 1 to both sides
[tex] -6 + 1 = b [/tex]
[tex] -5 = b [/tex]
Substitute m = ⅙, and b = -5 into [tex] y = mx + b [/tex].
✅The equation that represents the road would be:
[tex] y = \frac{1}{6}x + (-5) [/tex]
[tex] y = \frac{1}{6}x - 5 [/tex]
Related Questions
Multiple choice question
Answers
I think I may be wrong.
Answer:
d
Step-by-step explanation:
2 X 4 =8
8 X 1 = 8
A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)
Answers
Add 1
y = 3x + 7
B. 3y + 6 = x - 1
Subtract 6, then divide by 3
3y = x - 7
y = 1/3x - 7/3
C. y - 2 = 1/3x + 1
Add 2
y = 1/3x + 3
D. y + 1 = 3x - 6
Subtract 1
y = 3x - 7
When put on a graph, D passes through (2, -1)
Answer is D.
Which of the following combinations cannot be the side lengths of a triangle?
1. 2.3 inches, 3.4 inches, and 3.2 inches
2. 4.8 inches, 5 inches, and 1.2 inches
3. 2.5 inches, 2.5 inches, and 2.5 inches
4. 6.7 inches, 1.1 inches, and 7.9 inches
Answers
9514 1404 393
Answer:
4. 6.7 inches, 1.1 inches, and 7.9 inches
Step-by-step explanation:
In order for three lengths to be able to form a triangle, the sum of the shorter two must exceed the longest.
1. 2.3 +3.2 > 3.4 . . . will form a triangle
2. 1.2 +4.8 > 5 . . . will form a triangle
3. 2.5 +2.5 > 2.5 . . . will form an equilateral triangle
4. 1.1 +6.7 = 7.8 ≯ 7.9 . . . will not form a triangle
_____
The symbol ≯ is "not greater than". The typeset version looks like ...
[tex]1.1+6.7 \ngtr 7.9[/tex]
50 POINTS FOR EACH ANSWER!!! Write the difference of the expressions 17x−13y+8 and 20x+6y and simplify it.
Answers
Answer:
-3x-19y+8
Step-by-step explanation:
Answer:
-3x-19y+8
Step-by-step explanation:
thanks for 50 points.
Yesterday Jack drove 39 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answers
Answer:
31.6 or 31 6/10 or 31 3/5
39.5/1.25 = 31.6
Jack gets 31.6 miles per gallon.
.25 = 1/4
.5 = 1/2
Which number does NOT represent a rational number
A. √144
B. √90
C. √100
D. 0.8
Answers
Answer:
Step-by-step explanation:
B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10) sqrt(10) is irrational.
Find the slope of a line perpendicular to a line containing points (3,-5) and (1,7)
Answers
Answer:
Slope of a line perpendicular to a line = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
(x₁ , y₁ ) = (3 , -5) & (x₂, y₂) = (1 , 7)
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6[/tex]
Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
[tex]= \frac{-1}{-6}\\\\= \frac{1}{6}[/tex]
DO YOU KNOW THE ANSWER???
Answers
Answer: I think it is D x=8(k+c)
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Isolate the variable by diving each side by factors that don't contain the variable, which is 8.
PLEASE GUYS PLS HELP ME W THIS ONE QUESTION I NEED IT BY TMR OR IM DEAD SO PLS -
Answers
Answer:
(a) 32 (b) 192
Step-by-step explanation:
Since there are no other measurements i thought that it would be two 16 by 6 rectangles so you would just double the length but the height would stay the same.
Hope this helps :D
1) Last year, Springfield Middle School had 640 students. This year, it has 480
students. What is the percent of decrease? *
Answers
The percent of decrease is -25%.
Given that,
Last year, Springfield Middle School had 640 students. This year, it has 480 students. Calculation:[tex]= (480 - 640) \div 640\\\\= -160 \div 640[/tex]
= -25%
Find out more information about percentage here:
https://brainly.com/question/26080842?referrer=searchResults
If f(x) = x^2- 6 and g(x) = 2x – 1, determine the value of (gºf)(-3).
Answers
Explain the steps to solve for g in the equation -1/3g+5=2
Answers
Answer:
g=9
Step-by-step explanation:
-1/3x9=-3+5=2
PLEASE HELP URGANT The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–13, –9). Find the translation rule and the image of U.
Answers
Answer:
translation -(-7, -4)
Which term describes the place where two planes intersect?
A collinear
B coplanar
C point
D line
Answers
Doug's teacher told him that the standardized score (z-score) for his mathematics
exam, as compared to the exam scores of other students in the course, is 1.20.
Which of the following is the best interpretation of this standardized score? (4
points)
1) Doug's test score is 120.
2)
Doug's test score is 1.20 times the average test score of students in the
course.
3) Doug's test score is 1.20 above the average test score of students in the
course.
O 4) Doug's test score is 1.20 standard deviations above the average test score of
students in the course.
5) None of the above gives the correct interpretation.
Answers
Answer:
Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.
I just took the test and got it right :)
Step-by-step explanation:
Which graph shows the solution to the inequality –0.5x ≤ 7.5?
__________________________________________________
A) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.
B) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded.
C) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded.
D) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
__________________________________________________
Answers
Answer:
The first option
Step-by-step explanation:
Finished assignment
Answer:
the first option
Step-by-step explanation:
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
Answers
C) reflection over the x-axis
Lara measured a swimming pool MAD scale drawing scale used what is 9 mm: 4 m in the drawing the pools 99 mm long what is the length of the actual pool
Answers
Answer: The actual pool is 44 m long.
Step-by-step explanation:
Given : The scale used for drawing :
9 mm: 4 m
i.e. for each 1 mm of drawing we have [tex]\dfrac{4}{9}\ \text{m}[/tex] of actual pool.
If the pool is 909 m long , then the actual pool will be [tex]\dfrac49\times99= 4\times11=44\text{ m long.}[/tex]
hence, the actual pool is 44 m long.
Look at the factors of 24 and 32.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
Answers
Answer:
The answer is 8 The GCF of 24 and 32 is 8
Step-by-step explanation:
Hope this helps
Answer:
the answer is 8
Step-by-step explanation:
5.- Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. ¿Qué fracción de bombones se comieron entre las dos?. Si quedaron 12 bombones, ¿cuántos bombones tenía la caja? (Solución)
Answers
Answer:
La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]
La caja tenía 40 bombones.
Step-by-step explanation:
Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:
[tex]\frac{1}{5} +\frac{1}{2}[/tex]
Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.
En este caso, el mcm entre 5 y 2 es 10.
Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:
10÷5= 2 ⇒ 2*1= 2 Por lo tanto, 2 es el numerador de la primera fracción.10÷2= 5 ⇒ 5*1= 5 Por lo tanto, 5 es el numerador de la segunda fracción.Entonces:
[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}[/tex]
Ahora simplemente sumas los denominadores:
[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]
La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]
Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:
[tex]1-\frac{7}{10}[/tex]
Restando de manera similar al procedimiento usado para la suma se obtiene:
[tex]1-\frac{7}{10}=\frac{3}{10}[/tex]
Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12 bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?
[tex]cantidad total de bombones=\frac{1*12}{\frac{3}{10} }[/tex]
cantidad total de bombones=40
La caja tenía 40 bombones.
i need help with only one question on number 4? anyone pls?
Answers
3. If m angle 2=98°, m angle 3=23°, and m angle 8=70°, find each measure. 4. If m angle 3=54°, find each measure.
Answers
Answer:
Step-by-step explanation:
3). m∠1 = 180° - 98° = 82°
m∠7 = 180° - ( 98° + 23° ) = 59°
m∠6 = 180° - ( 70° + 59° ) = 51°
m∠9 = m∠6 = 51°
m∠10 = 180° - 51° = 129°
m∠4 = 180° - ( 70° + 51° ) = 59°
m∠54 = 180° - (23° + 59° ) = 98°
4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°
m∠2 = m∠5 = 90°
m∠6 = m∠3 = m∠8 = m∠10 = 54°
m∠7 = m∠9 = 90° + 36° = 126°
m∠12 = m∠14 = 180° - 36° = 144°
The measure of an an angle can be found from other known angles and the angular relationships present
The measures of the angles are;
3. a. m∠1 = 82°, [tex]{}[/tex] b. m∠4 = 59°, c. m∠5 = 98°, d. m∠6 = 51°, e. m∠7 = 59°, [tex]{}[/tex] f. m∠9 = 51°
4. a. m∠1 = 36°, [tex]{}[/tex] b. m∠2 = 90°, c. m∠4 = 36°, d. m∠5 = 90°, e. m∠6 = 54°, [tex]{}[/tex] f. m∠7 = 126°, g. m∠8 = 54°, h. m∠9 = 126°, i. m∠10 = 54°, [tex]{}[/tex] j. m∠11 = 36°, k. m∠12 = 144°, l. m∠13 = 36°, m. m∠14 = 144°
The reason the above values are correct are as follows;
The known parameters are;
m∠2 = 98°
m∠3 = 23°
m∠8 = 70°
a. m∠1 and m∠2 are linear pair angles
Therefore;
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180° - 98° = 82°
m∠1 = 82°
b. m∠4 = m∠7 = 180° - m∠2 - m∠3
∴ m∠4 = 180° - 98° - 23° = 59°
m∠4 = 59°
c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)
∴ m∠5 = 180° - 23° - 59° = 98°
m∠5 = 98°
Also m∠2 = m∠5 (corresponding angles)
d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)
∴ m∠6 = 180° - 59° - 70° = 51°
m∠6 = 51°
e. m∠7 = m∠4 = 59° (alternate interior angles theorem)
f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)
∴ m∠9 = 180° - 59° - 70° = 51°
m∠9 = 51°
Also, m∠9 = m∠6 = 51° (corresponding angles)
4. m∠3 = 54° (given)
a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)
m∠1 = 36°
b. m∠2 = 90° (given, geometry symbol)
c. m∠4 = m∠1 = 36° (vertical angles)
m∠4 = 36°
d. m∠5 = m∠2 = 90° (vertical angles)
m∠5 = 90°
e. m∠6 = m∠3 = 54° (vertical angles)
m∠6 = 54°
f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)
m∠7 = 36° + 90° = 126°
m∠7 = 126°
g. m∠8 = 180° - m∠7 (linear pair)
m∠8 = 180° - 126° = 54°
m∠8 = 54°
h. m∠9 = m∠7 = 126° (vertical angles)
m∠9 = 126°
i. m∠10 = m∠8 = 54° (vertical angles)
m∠10 = 54°
j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)
m∠11 = 180° - 90° - 54° = 36°
m∠11 = 36°
k. m∠12 = 180° - m∠11 (linear pair)
m∠12 = 180° - 36° = 144°
m∠12 = 144°
l. m∠13 = m∠11 = 36° (vertical angles)
m∠13 = 36°
m. m∠14 = m∠12 = 144° (vertical angles)
m∠14 = 144°
Learn more about angles formed between two parallel lines having a common transversal here:
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Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of people who worked Each Shift and how many cars they washed.
is the relationship between the number of cars washed and the number of workers proportional? Complete the sentence
Answers
Answer:
the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:
Answer:
The number of cars washed per person is not the same for each number of workers, so the relationship is not proportional
Step-by-step explanation:
I-ready
-4 (5x - 1)+ -11 (2x + 4)
Answers
Answer:
−42x−40
Step-by-step explanation:
The 400-meter race times at a state track meet are normally distributed with a mean
of 52.71 seconds and a standard deviation of 3.8 seconds. Using the Standard
Normal Probabilities table, what is the approximate probability that a runner chosen
at random will have a 400-meter time less than 53.4 seconds? (5 points)
Answers
Answer:
P = 1.214
Step-by-step explanation:
Draw a normal probability curve.
Find the z score which comes out to be 0.18 (0.181578947)
look for the probability in the table.
look across 0.1 and under 8.
Get the probability and add 0.5 to it
so rhats:
0.714 + 0.5 = 1.214
(Score for Question 2: 4 points)
2. You buy a pair of pants. The original cost of the pants is $30.00. The pants are on
sale for 20% off. Show your work or explain your mental math for each part! Pls explain!
Answers
0.2x30.00=6
30-6=24
You need to convert the 20 into a decimal so you divide it by 100 and you will have to multiply the result by the price of the pants (30.00) and it will give you what will be discounted. and he only challenges the result (6) by the price of the pants.
So the answers is 24
Answer: 24
Step-by-step explanation:
30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24
y=-2(×-3)(x-2) to standard form
(show work)
Answers
Answer:
y=-2x^2+10x-12
Step-by-step explanation:
graph is shown in image below
What is the solution to this linear system?Enter a value in each box to create an ordered pair?
Answers
Answer:
2,7 3,6
Step-by-step explanation:
Help me please need it for now
A painter charges $200 plus $25 per can of paint used.
a. Write a function to represent the total charge for a certain number of cans
of paint.
b. What is the value of the function for an input of 4, and what does it
represent?
Answers
Answer:
A- 200+25x
B- 200+25×4=300
Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought
Step-by-step explanation:
The terms of a percentage lease state that rent is 3% of sales up to $100,000 and 2% of sales over $100,000. Your business plan projects monthly sales to average $190,000 per month. There is a $300 per month maintenance fee. What do you project as an average monthly rent plus maintenance fee?
Answers
Answer:
The projected average monthly rent plus maintenance fee is $4,100
Step-by-step explanation:
In the question, we are told that the percentage lease terms state that rent is 2% of sales over $100,000
Since sales is $190,000 projected,
the percentage will be 2% of 190,000
= 2/100 * 190,000 = $3,800
we now proceed to add the monthly maintenance fee
That will be $3,800 + $300 = $4,100
Answer: 5,100
Step-by-step explanation:
