What is an equation of the line perpendicular to the one shown that passes through (-3,-4)?
Answers
Answer:
D. [tex] y = \frac{2}{3}x - 2 [/tex]
Step-by-step explanation:
To find the equation of the line that is perpendicular to the one shown on the graph, which passes through (-3, -4) we need to find the slope of the line, m, and the y-intercept, b.
The equation would be in the slope-intercept form given as y = mx + b.
The slope of the line would be the negative reciprocal of the slope of the line shown on the graph.
So, first, find the slope of the line shown in the graph using the points on the line, (0, 3) and (4, -3):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{4 - 0} = \frac{-6}{4} = -\frac{3}{2} [/tex]
Since the slope of the line shown on the graph is -³/2, therefore the slope of the line that is perpendicular to the line shown would be the negative reciprocal of -³/2. Negative reciprocal of -³/2 is ⅔.
Therefore, the slope, m, of the line that is perpendicular to the line shown is ⅔.
Let's find its y-intercept using the point given, (-3, -4) that the line passes through and its slope, m = ⅔.
Substitute m = ⅔, x = -3 and y = -4 in y = mx + b, to find b.
-4 = ⅔(-3) + b
-4 = -2 + b
Add 2 to both side
-4 + 2 = b
-2 = b
b = -2
Substitute m = ⅔, and b = -2 in y = mx + b.
The equation of the line would be:
[tex] y = \frac{2}{3}x +(-2) [/tex]
[tex] y = \frac{2}{3}x - 2 [/tex]
Related Questions
Vertical Motion A football is released into the air at an initial height of 6 feet and an initial velocity of 30 feet per second. The football is caught at a height of 7 feet. Use the vertical motion model h=-16t^2+vt+s where h is the height, t is the time in motion, s is the initial height, and v is the initial velocity, to find how long the football is in motion.
Answers
Answer:
16^6t^2+30^6+15
Step-by-step explanation:
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP!! please :)
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Answer:
4 and -2
Step-by-step explanation:
1+3=4
1-3=-2
Answer:
-4 and 4
Step-by-step explanation:
Need 24 26 28 and 30 dne, first correct will get brainiest
Answers
Answer:
Many answers, look below :)
Step-by-step explanation:
24.
(x)=2x^5+6x^4
please solve this question.
If you solve this question, l will mark as brainest
Answers
Answer:
LG is 7.5 and GO is 4.5, units are in cm
Step-by-step explanation:
Eddie bought some Perfume in Italy, the cost of the perfume was €50 the cost of the same perfume in London was £42. The exchange rate was £1= €1.25 work out the difference between the cost of the perfume in Italy and the cost of the perfume in London. Give your answer in pounds
Answers
Answer:
52 pounds
Step-by-step explanation:
100 POINT GEOMETRY QUESTION!!!!
Answers
Answer:
Okay here are some answers
Step-by-step explanation:
ABC is an obtuse triangle
JKL is an right triangle
PQR is an acute triangle
Answer:
ABC is an obtuse triangle
JKL is an right triangle
PQR is an acute triangle
Step-by-step explanation:
hope it helps
Help needed ASAP
I will give 100 points and Brainly
Answers
Answer:
D) (8,-22)
Step-by-step explanation:
I used my graphing calculator.
Answer:
D
Step-by-step explanation:
The tins of cat food that I buy are normally 80 cents each. They are also available in packs of 6, but there is no advantage to this as they cost $4.80 My neighbor told me this morning that the everlo supermarket has a special offer this week: 25% off all tins and a further 60 cents off a pack of 6. I have given my son $20 and sent him to Everlo to but as many tins as he can.
Answers
Answer: 39 tins of cat food.
Step-by-step explanation:
I am assuming the question is how the number of tins that can be bought.
Step 1 - Discounted price
With the discount a tin would cost;
= 80 * ( 1 - 25%)
= 60 cents
Step 2 - Packs of 6 purchased at discounted price
Every pack of 6 attracts 60 cents off which means that they are paying the price of 5 tins for 6 tins.
Price of 5 tins;
= 60 * 5
= $3
Out of $20, the number of packs of 6 he can buy are;
= 20/ 3
= 6.67
= 6 packs of 6
Step 3 - Number tins not in pack of 6 bought
If he buys 6 packs of 6 the amount of money left is;
= 20 - ( 6 * 3)
= $2
With these $2, he could buy;
= 200 cents/60 cents
= 3.333
= 3 tins
Step 4 - Total number of Tins bought
The total number of tins he can buy are therefore;
= 6 packs of 6 + 3 tins
= (6 * 6) + 3
= 39 tins of cat food.
A ——————-turns a figure about a point.
O Translation
O Rotation
O Reflection
Answers
Answer:
Rotation
Step-by-step explanation:
keyword: Turn!
Answer:
Rotation
Step-by-step explanation:
A rotation is a transformation that turns a figure about (around) a point or a line. The point a figure turns around is called the center of rotation. Basically, rotation means to spin a shape. The center of rotation can be on or outside the shape.
If you put 140 rail of water in a glass,
how much concentrate should be added?
Lemon Squash;
1 part concentrate
to 2 parts water
Answers
Answer:
70ml
Step-by-step explanation:
Key:
1.concentrate - c
2.water - w
if 2w = 1 c
140w = 140w x 1c
2w
=70c
= 70 ml of concentrate.
what times itself equals 17
Answers
Answer: 4.12
Step-by-step explanation: 4.12 x 4.12=17
Answer:
4.123
Step-by-step explanation:
Have a great day
10 months= ______ years in fraction and decimal?
Answers
Answer:
5/6 or .83
Step-by-step explanation:
The variable, y, varies directly with x. If y =14 when x=13, what is y when x=60?
Answers
Answer:
64.6.... something
Step-by-step explanation:
A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?
y = –4/3x
y = –3/4x
y = 3/4x
y =4/3 x
Answers
Answer:
[tex]y=\frac{3}{4}x[/tex]
Step-by-step explanation:
If it is a direct variation function, then [tex]\frac{y}{x}=k[/tex].
[tex]k[/tex] can be found by choosing a point and doing [tex]y[/tex] divided by [tex]x[/tex].
So we can find [tex]k[/tex] by doing -6 divided by -8 or 9 divided by 12.
Both of these values are equal to 0.75 or 3/4 as a fraction.
So you can say any point in this relation will follow the equation:
[tex]\frac{y}{x}=\frac{3}{4}[/tex]
Multiply both sides by [tex]x[/tex]:
[tex]y=\frac{3}{4}x[/tex]
A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?
Answers
Answer:
Step-by-step explanation:
21 feet below is written as -21
9 feet up is written as +9
So we have -21 + 9 = -12 or 12 feet below sea level
What is the measure of ∠ACD?
A.30°
B.63°
C.147°
D.150°
Please help :)
Answers
Answer:
D.150°
Step-by-step explanation:
i think first you got to find the angle of ACB. you find it because a triangle's angles add up to 180. 33+177=150. which leaves you with with 30
You add 33 and 117 which gives you 150. Subtract 180 from the 150 which will give you 30. The 30 is for >c.
Then you add 33+117+30 giving you 180 that’s the whole inside. Now that you have the missing angle degree (30) you subtract the 30 from 180. Giving you 150 for I Hope this makes sense I apologize if it doesn’t.
A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1/8 half gallon=0.125 half gallon. How many cakes can the bakery make?
Answers
Answer:
The total cake make in the bakery ≅ 346 cakes
Step-by-step explanation:
Given that:
A bakery has 72 half gallons of milk
It takes [tex]1\dfrac{2}{3}[/tex] cups of milk to make the cake ;
i.e. [tex]\dfrac{5}{3}[/tex] cups of milk to make the cake after we converted the mixed fraction to an improper fraction.
Also,1 cup = [tex]\dfrac{1}{8}[/tex] half gallons = 0.125 half gallons
Thus, the amount of milk required to make the cake = [tex]\dfrac{1}{8} \times \dfrac{5}{3}[/tex]
[tex]= 0.125 \times \dfrac{5}{3}[/tex]
= 0.208
∴
The total cake make in the bakery = [tex]\dfrac{72}{0.208}[/tex]
The total cake make in the bakery = 346.15
The total cake make in the bakery ≅ 346 cakes
HELP PLEASEEEE!!!
Which notation shows that S is a function of n?
A. n.s
B. s(n)
C. n(s)
D. Sin
SUBMIT
Answers
the slope of (1,3) and (10,10)
Answers
Answer:
7/9
Step-by-step explanation:
[tex]slope = \frac{10 - 3}{10 - 1} \\ \\ = \frac{7}{9} \\ [/tex]
do this to get brainiest!
Answers
Answer: 8. 3^4+n^4, 9. 7^3+m^4, and 10. s+2t^3.
Step-by-step explanation:
Answer quick Question 2 of 5
Which expression uses the associative property to make it easier to evaluate
6(1/3 x 7/5)?
A. (6•1/3) 7/5
B. 3(1/6•7/5
C. 6(7/5•1/3)
D. (6•5/7)1/3
SUBMIT
Answers
Answer: A
Step-by-step explanation:
Answer:
The aswer is: A. (6•1/3) 7/5
Step-by-step explanation:
A-P-E-X
I’ll mark brainliest! Plz help
Answers
I recommend you Math-way , to solve your problems.
Answer:
E
Step-by-step explanation:
the square root of 64÷49 =a rational number
Please help me answer number 11
Answers
what is the domain of (1,3) (2,5) (3,7) (4,9) ?
Answers
A. The temperature is -2°C. If the temperature rises by 15°C, what is the new temperature?
Answers
Answer:
13 degreesC
Step-by-step explanation:
Sidaanth kept a chart of his savings. Which point represents this relationship? Sidaanth’s Savings Week Savings 1 $7.00 2 $14.00 3 $21.00 4 $28.00 On a coordinate plane, a graph titled Sidaanth's Savings has week on the x-axis and Savings in Dollars on the y-axis. Point A is (1, 28), point B is (2, 14), point C is (7, 2), point D is (14, 1). A B C D
Answers
Answer:
c
Step-by-step explanation:
Y'all I need major help! This is due soon!! Just match up the points with an equation.
Write an equation of the line that passes through the given point and has the given slope, m.
1.(5,-2); m=4 2.(7,-2); m=2 3.(-3,-5); m=-3 4.(-8,-2); m=4 5.(0,0); m=1
y=-3x-14 y=2x-16 y=x y=4x+30 y=4x-22
Answers
How many quarts are in 3 3 4 % of 20 gallons?
Answers
3 qt
Step-by-step explanation:
First, let's convert 20 gallons into quarts.
20 gal * (4 qt)/(gal) = 80 qt
3 3/4% of 80 qt =
= 3.75% * 80 qt
= 0.0375 * 80 qt
= 3 qt
Answer:
3 qt
Step-by-step explanation:
First, let's convert 20 gallons into quarts.
20 gal * (4 qt)/(gal) = 80 qt
3 3/4% of 80 qt =
= 3.75% * 80 qt
= 0.0375 * 80 qt
= 3 qt
LOTS OF POINTS!! WILL GIVE BRAINLIEST
~~~~
answer the question, do not answer if you do not know!!
Answers
Answer:
A, E
Step-by-step explanation:
Answer:
I believe it is A and E, I am very sorry if I am wrong. Have a good day.
{Please Don't Troll What value of x is in the solution set of -3x+8≥14 {Answer Choices -3,-1,0,3}
Answers
Answer:
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation. Based on the solution set the answer is -3
Step-by-step explanation:
-3x+8 is greater than or equal to 14
-8 -8
-3x is greater than or equal to 6
-3x/-3 6/-3
*THIS WILL CAUSE US TO FLIP THE INEQUALITY SYMBOL AS WE DIVIDED BY A NEGATIVE NUMBER
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation
Based on the solution set the answer is -3
Hope this helps!