Answers
The slope of a perpendicular line is the opposite reciprocal: meaning you change the sign (from - to + or from + to -) and flip the numerator and denominator (for example if your slope is -2, the perpendicular line’s slope would be 1/2).
First, find the slope of the graphed line. The two points you are given are (-1, 4) and (-2, 7). The formula for slope is m = (y2 - y1) / (x2 - x1) where m is the slope, and (x1, y1) and (x2, y2) are points. Plugging these points into the slope formula you get:
m = (7-4)/ (-2+1) = 3/-1 = -3.
The opposite reciprocal of -3 is 1/3, so the slope of the new line is 1/3.
In slope-intercept form, equations look like this: y = mx + b. M is your slope, and b is your y-intercept. You know the slope of the perpendicular line is 1/3 but still need to find the y intercept. To do this, first plug in your slope to the formula: y = 1/3x + b. Next, plug in (-6,5) to the equation for x and y and then solve for b.
5 = 1/3(-6) + b
5 = -2 + b
7 = b
Now you know what b is, you now have the full equation of the line: y = 1/3x + 7. You can now graph the line, too.
For #2, you are being asked to draw a line parallel to the graphed line which passes through the point (6,5)
The slope of a parallel line is the same as the slope of the original line.
The two points you are given are (-6,0) and (0,9). Plug these into the slope formula:
m = (9-0)/(0+6) = 9/6
The equation of the parallel line so far is y = 9/6x + b
Plug the point (6,5) into the equation to solve for b.
5 = 9/6(6) + b
5 = 9 + b
-4 = b
The equation is y = 9/6x -4. Now you just have to graph it.
I hope this helps :)
Related Questions
If quadrilateral JKLM is a rhombus, find m
Answers
90+36=126
180-126=54
54x2= 108°
question in pic help plz ASAP 1 min
Answers
Answer:
i think the answer is D
Step-by-step explanation:
please read the question in picture nd help me
Answers
Answer:
1) We know that e is an irrational number, so we usually can find it by computational methods.
[tex]e = \lim_{n \to \infty} (1 + \frac{1}{n})^n[/tex]
and we know that e accurate to 10 decimal points is:
e = 2.7182818285
2) Now we want to write the properties of the exponential and logarithmic functions.
We will write first the exponential property, and then the correspondent one for the logarithmic function.
(e^a)*(e^b) = e^(a + b)
The equivalent Ln property is:
Ln(a) + Ln(b) = Ln(a*b)
(e^a)/(e^b) = e^(a - b)
The eqivalent Ln property is:
Ln(a) - Ln(b) = Ln(a/b)
(e^a)^b = e^(a*b)
The equivalent Ln property is:
Ln(a^b) = b*Ln(a)
The waves created by two speed boats in a lake interact to form larger waves. This is an example of
constructive interference.
destructive interference.
absorption
transmission
Answers
Answer:
The answer is A. Constructive interference .
Step-by-step explanation:
I got it right on the Unit Test Review . Hope this helps <3 .
Answer:
A: Constructive interference
Step-by-step explanation:
Here is proof sorry im late but its extra proof its right give other person brainliest
I'd be happy if you could help!
Answers
Step-by-step explanation:
Circumference=22π
2πr=22π
r=11 in.
Area=121π in.²
Hope it helps you
Is this a linear function or exponential function?
Day
1
2
3
4
5
Number of
1
12
23
34
45
Infected
People
O Exponential Function
O Linear Function
Answers
Answer:
linear function............
Help me with this!!!
Answers
Answer:
-7
Step-by-step explanation:
Please help!!
Find the value of x!
Answers
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
Since the triangles are similar then the corresponding sides are congruent.
EF and BC are corresponding sides , then
8x - 3 = 5x + 13 ( subtract 5x from both sides )
3x - 3 = 13 ( add 3 to both sides )
3x = 16 ( divide both sides by 3 )
x = [tex]\frac{16}{3}[/tex]
-17<7n +4 < 46 help asap
Answers
Answer:
- 3 < n < 6
Step-by-step explanation:
Given
- 17 < 7n + 4 < 46 ( subtract 4 from each of the intervals )
- 21 < 7n < 42 ( divide each interval by 7 )
- 3 < n < 6
it took 4 hours to drive 240 mile. At this rate, how long does it take to drive 90 miles
Answers
Answer:
1 hour and 30 minutes
Step-by-step explanation:
4 hours = 240 miles
1 hour = 240 ÷ 4 = 60 miles
90 ÷ 60 = 1.5 hours =
1 hour and 30 minutes
Find the angle of the least positive measure (in degrees, not equal to the given measure) that is coterminal with A.
A= -647°
Answers
9514 1404 393
Answer:
73°
Step-by-step explanation:
A coterminal angle will be one that is this angle plus some multiple of 360°. We observe that the magnitude of the given value is between 360 and 720, so we can find the coterminal angle of interest by adding 720°.
-647° +720° = 73°
The least positive measure angle coterminal with A is 73°.
Zoe has 5 shoe commercial grew in her garden she wants to share them equally among four of her neighbors how many cucumbers will each neighbor receive use the numbers on the tiles to complete the number sentence you may use a number more than once or not at all
Answers
Um...wut is shoe commercial?
Anyway, she wants to split them equally among 4 neighbors and herself.
So do 5/5. It 1.
So everybody get 1 each.
---
hope it helps
The ratio of students who took Spanish to students who took German was 15 to 2. If 3000 students took Spanish how many took German?
Answers
Factor the following trinomial
x2 + 8x – 9
Answers
Answer with step-by-step solution:
x^2+8x-9
x^2+9x-x-9
x(x+9)-(x+9)
(x+9)(x-1)
18. Mr. Summerall purchased one bag of dry
cat food and 24 cans of wet cat food. The
bag was $12.80 and the total purchase was $22.40. How much was each can of cat food?
Answers
Answer: 0.40
Step-by-step explanation: JUST HURRY AND PUT IT IN BEFORE ITS TOO LATE BESTIE
Square-based pyramid
AC = 10 cm
14 cm
Answers
try matway
Step-by-step explanation:
Un barril de petróleo equivale a 159 litros entonces si un pozo de petróleo produce 374 barriles por minuto. ¿Cuántos litros son? * 10 puntos A) 2.35 B) 4.80 C) 59 466 D) 128 345
Answers
Answer:
374 barriles equivalen a 59466 litros de petróleo.
Step-by-step explanation:
La regla de tres simple es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos. Es decir, lo que se pretende es encontrar el cuarto término de una proporción conociendo los otros tres. Recuerde que la proporcionalidad es una relación o razón constante entre diferentes magnitudes.
Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, también lo hace la otra (o cuando una magnitud disminuye, también lo hace la otra), se debe aplicar la regla directa de tres. Para resolver una regla directa de tres, se debe aplicar:
a ⇒ b
c ⇒ x
donde a, b y c son valores conocidos, mientras x es el valor que se desea conocer. Entonces: [tex]x=\frac{c*b}{a}[/tex]
En este caso, la regla de tres se aplica de la siguiente manera: si 1 barril de petróleo equivale a 159 litros, 374 barriles a cuántos litros equivale?
1 barril ⇒ 159 litros
374 barriles ⇒ x litros
[tex]cantidad de litros =\frac{374 barriles*159 litros}{1 barril}[/tex]
cantidad de litros= 59466 litros
374 barriles equivalen a 59466 litros de petróleo.
Can anybody help me please
Answers
Answer:
(2,5)
Step-by-step explanation:
It's the coordinates of the point where the lines cross
Answer:
4=7
Step-by-step explanation:
because you have to look down where the arrows are pointing. I hope you pass whatever your taking!
State the domain for the following relation.{(4, -1), (3, 2), (0, -3), (1, 4)} *
A. {0, 1, 3, 4}
C. {0, 1, 2, 4}
B. {2, 3, 4, 5}
D. {0, 1, 3, 5}
Answers
Answer:
A. {0, 1, 3, 4}
Step-by-step explanation:
For a relation with elements (x, y)
The domain is the set of the x-values, that are the input values.
Here we have the relation:
{(4, -1), (3, 2), (0, -3), (1, 4)}
Here we can see that the inputs are:
4, 3, 0, and 1.
Then the domain is:
{4, 3, 0, 1}
Now let's write this in the correct order:
{0, 1, 3, 4}
The domain of the relation is: {0, 1, 3, 4}
Then the correct option is A.
A car is on sale for R 95 850.If a deposit of 9 580 is paid ,how much is still owed on the car ?
Answers
Answer:
Step-by-step explanation:
95 850-9 580=86270
R 86 270 is still owed for the car
Hope it helps!
:D
Kevin went to a store that offers a 20% discount. He bought a jacket and saved $11.20 after using the coupon. What is the original price of the jacket?
Answers
Answer: $56
Step-by-step explanation:
Let the original price of the jacket be x.
Since Kevin went to a store that offers a 20% discount and bought a jacket and saved $11.20 after using the coupon.
The original price of the jacket goes thus:
20% × x = $11.20
0.2 × x = 11.20
0.2x = 11.20
x = 11.20 / 0.2
x = 56
The original price of the jacket will then be $56
what is 4/3 divided by 1/5
Answers
Answer: photo
Step-by-step explanation:
Drake will spin the arrow on the spinner twice. What is the probability that the arrow will land on C both times?
Option 1: 1/8
Option 2: 1/2
Option 3: 1/16
Option 4: 1/4
Answers
Answer:
Step-by-step explanation:
Answer:
1/8 chance
Step-by-step explanation:
Find the measure of the angle indicated in bold
Answers
Answer:
x=5
Step-by-step explanation:
hey there
the angles given are corresponding angles meaning that they are congruent
so we set up an equation
23x-5=21x+5
step 1 subtract each side by 5
5-5 cancels out
-5-5=-10
now we have
23x-10=21x
step 2 subtract each side by 23x
21x-23x=-2x
now we have
-2x=-10
step 3 divide each side by 2
-10/-2=5
so we can conclude that
x=5
1. A decorative rug in an office building has
the dimensions shown. What is the area of
the rug?
A. 72 m2
B. 36 m2
C. 18 m2
16 m2
Answers
Answer:
72
Step-by-step explanation:
The answer is 72 my friend
Let y=f(x) be the particular solution to the differential equation dy/dx=(2x−1)/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x) ?
Answers
Answer:
y= (3x^2-3x+27)^1/3
Step-by-step explanation:
The weight of one serving of chips is 2 1/4 oz. How many servings are there in a 22 1/2 oz bag of chips?
Answers
Answer:
22 1/2 ÷ 2 1/4 = 10 servings
To the right is a data table showing the distance and time traveled by plane
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table tells you all you need to know. Put values from the table in the corresponding answer slots.
Convert to the indicated unit.
1. 35 minutes = ________ seconds
2. 146 seconds = ________ minutes + ________ seconds
3. 24.5 hours = _________ minutes
4. 21 days + 36 hours = ________ weeks + ________ days
5. 5 years = ________ months
Answers
Answer:
1. 2,100 sec
2. 2 min and 43 sec
3. 1,470 min
4. 3 weeks, 1 day, 12 hours
5. 60 months
What is the length of the diagonal from vertex J to vertex L in the quadrilateral below? A. √113 B. 11 units C. √103 D. 3 √33
Answers
Answer:
the answer is B.
Step-by-step explanation: