The answer is A. y=-3/4x+1/4
The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let the required equation of the line would be as:
y - y₁ = m(x - x₁)
Since the line passes through the point (–5, 4) and slope m = -3/4
So substitute the values in the above equation, and we
y - (-5) = (-3/4)(x - 4)
y + 5 = (-3/4)x - (-3/4)4
y + 5 = (-3/4)x + 3
y = (-3/4)x + 3 - 5
y = (-3/4)x - 2
Thus, the required equation of the line is y = (-3/4)x - 2.
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help
Use the Pythagorean theorem to write an equation for 16^2+12^2=c^2
Answer:
C=20
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2=c^2. So, a=16, and b=12. 16 squared is 256. 12 squared is 144. 256+144=400. 400=c^2. So, the square root of 400=c. and that is 20.
Morgan is in the business of manufacturing phones. She pays a cost of $200
per phone produced for materials and labor and also must pay a daily fixed
cost of $400 to rent the building and equipment. Make a table of values and
then write an equation for C, in terms of p, representing total cost, in dollars,
of producing p phones in a given day.
Answer:
C = 200p + 400
Step-by-step explanation:
Because C is the cost of a given day, 400 acts as a y-intercept.
400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.
Which is a property of an angle?
Answer:
I believe that it is the last answer. have a great day!
Under the answer choice D, it says The rectangles are similar
The correct answer is option D.
Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =
Answer:
1/4
Step-by-step explanation:
If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.
The value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a trigonometric expression:
= cos(75°)cos(15°)
As we know the trigonometric identity:
cos(a)cos(b) = (1/2)[cos(a + b) + cos(a - b)]
a = 75
b = 15
Plug the above values in the trigonometric identity:
cos(75)cos(15) = (1/2)[cos(75 + 15) + cos(75 - 15)]
cos(75)cos(15) = (1/2)[cos(90) + cos(60)]
The trigonometric ratio is the ratio of the pair of a right-angled triangle.
The value of cos90 = 0
cos60 = 1/2
cos(75)cos(15) = (1/2)[0 + 1/2]
cos(75)cos(15) = 1/4
Thus, the value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.
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There are 12 adults and 14 children at a picnic. What is the ratio of adults to total people at the picnic?
Find the midpoint of the segment with the given endpoints.
(-7.-10) and (-2,2)
Answer:
(-9/2,-4)
Step-by-step explanation:
I hope this helps.
Write a function g whose graph represents a reflection in the x-axis of the graph of f(x)=1/2x−3.
The pizza shop sells artwork by local artists. For each piece it sells, the shop receives a 15 percent commission. The most expensive piece it ever sold was priced at $225. Which expressions represent how much the shop received? Check all that apply.
Answer:
The 15 percent commission is what the shop received.
Step-by-step explanation:
It said that the most expensive piece it ever sold was 225
not that the most money they made is 225
a and b
Step-by-step explanation:
if two people were to go to the movies and share the cost of what they paid. how much would they both pay? $2 for snacks $13 for the tickets. p.s. it could be a decimal of fraction ig
Answer: $7.50
Step-by-step explanation: they spent 15 n if they split that it’s 7.50
for each sequence find the first 4 terms and 10th term 2n squared
Answer:
35 your welcome have a day good
Step-by-step explanation:
I've worked out the problem multiple times but I don't get any of the answer choices. Can someone work it and tell me what you get? The answer I have selected is closest to what I'm getting.
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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]
[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]
[tex]1[/tex]
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The correct answer is the first option .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
what is the value of 3x-3 when x equals 3
Answer:
Your answer is 6.
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
6
Step-by-step explanation:
when you substitute 3 in for x you get 3(3) - 3
solve the equation
3(3) = 9
9 - 3 = 6
Jasmine bought 6.4 pounds of chewy candy from the local confectionary store. If she gave 2.06 pounds of the candy to her little brother Sam, how many pounds did Jasmine have left for herself?
A.
3.8 pounds
B.
4.34 pounds
C.
3.98 pounds
D.
4.3 pounds
Answer:
4.34 lbs
Step-by-step explanation:
6.4-2.06= 4.34
write the equation in slope intercept form that represents the graph below.
Answer:
i didnt have this yet
Step-by-step explanation:
Answer:
y = 3/2x + 2
Step-by-step explanation:
let eqn be y = mx + c
m = (5-2)/(2-0) = 3/2
sub (0, 2):
2 = 3/2 (0) + c
c = 2
therefore, the equation is y = 3/2x + 2
CAN SOMEONE HELP ME WITH THOSE 2 questions PLEASE !!!!!!
Three cubic feet of seawater weigh 192 pounds.
What is the weight of the seawater in an aquarium that is 4.4 ft long, 2.5 ft wide, and 5.3 ft high?
Answer:
3731.2 pounds
Step-by-step explanation:
Aquarium will hold 4.4 * 2.5 * 5.3 = 58.3 cubic feet of sea water.
For 3 cubic feet of sea water, weight is 192 pounds
For 58.3 cubic feet of sea water,
( 192 * 58.3) / 3 = 11193.6 / 3 = 3731.2 pounds
Convert -62.8º C into Fº using the correct formula below. Conversion Formulas: Cº = (Fº - 32º) 1095-02-02-01-00_ 1.8 Fº = 1.8 x Cº + 32º K = Cº + 273
Answer:
- 81.04°F
Step-by-step explanation:
Given the question :
Convert - 62.8°C into F°
Using the conversion formula :
Fº = 1.8 x Cº + 32º
C = - 62.8°
Fº = (1.8 x - 62.8)+ 32º
F° = - 113.04° + 32°
= - 81.04°F
298ºK is the answer
Cº = 77º - 32º / 1.8 = 25º Kº = 25º + 273 Kº = 298º
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 64^\circ64
∘
64, degrees.
Answer:
If angle a and b are complementary angles, and angle a is 64, complementary equals 90, so 90-64= 26 degrees for angle b.
Angles ∠a and ∠b are complementary angles. Then the measure of the angle ∠b will be 64°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
The measure of the angle ∠a is 64°. And angles ∠a and ∠b are the complementary angles. Then the equation is given as,
∠a + ∠b = 90°
64° + ∠b = 90°
∠b = 26°
The measure of the angle ∠b will be 64°.
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Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3
First, we must determine b using slope-intercept form*, the given point, and the given slope.
[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]
Second, we need to set up the equation of the line in slope-intercept form.
[tex]y = -\frac{1}{3}x - 1[/tex]
Third, we convert the above equation to STANDARD FORM**.
[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]
We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]
*Slope-intercept form: y = mx + b
**Standard form: ax + by = c
Two students are taking a math test. After 5 minutes, one student is 13 done and the other is 28 done. How much ahead of the second student is the first
Given :
Two students are taking a maths test.
After 5 minutes, one student is 13 done and the other is 28 done.
To Find :
How much ahead of the second student is the first.
Solution :
Number of questions second student is ahead is :
[tex]n = 28 - 13\\\\n = 15[/tex]
Therefore, second student is ahead by first by 15 questions.
Hence, this is the required solution.
Is 2.88 rational or irrational
Answer:
rational
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
2.88
= 2 [tex]\frac{88}{100}[/tex]
= [tex]\frac{2(100)+88}{100}[/tex]
= [tex]\frac{288}{100}[/tex] ← in rational form
Answer:
2.88 is a rational number.
Step-by-step explanation:
A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.
Other examples of rational numbers include:
-4
8
9/3
8.28
8.999999999...
What is the trademark of a linear equation? WILL GIVE BRAINLIEST. Will report if answer is absurd
Answer: They can be represented in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
Evaluate the expression. Need Answer Asap
Answer:
3
Step-by-step explanation:
(4p-m)/4
m=-4 and p=2
Since you know what m and p represent, it shouldn't be hard to solve.
(4 [2] - [-4] )/4 The 4 would be positive since there are two negatives.
(8 + 4)/4 Do the work inside the parenthesis first...
(12)/4 now divide.
Answer:
I hope this helps
Step-by-step explanation:
plz mark brainliest
what is the density of 9 cm³ gold cube with 450 g in a mass?
Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}
Scott bought three bags of candy with 75 pieces in each one. He plans to divide all the candy evenly among seven friends. How many pieces of candy will Scott have left for himself?
Answer:
he will have 28 pieces
Step-by-step explanation:
75*3=250
250/8=28
a cargo ship traveled 150 nautical miles in 6 hours at a constant speed.
How far did the cargo ship travel in 1 hour??
Answer:
25 miles per hour
Step-by-step explanation:
divide 150 by 6 to find the unit rate, which is 25 miles per hour.
sixteen juice packs for 12 dollars. How many packs can you buy for $6?
Answer:
2
Step-by-step explanation:
Answer:
you can buy 6
Step-by-step explanation:
Sarge completed 1/10 of his report in 4/5 of an hour. At this rate, how much of the report will Sarge complete in 1 hour?
Answer:
1/8
Step-by-step explanation:
Rate is the change of a quantity per unit time
We are told Sarge completed 1/10 of his report in 4/5 of an hour.
We are going to equate the rate at 4/5hour to that of 1hour to get how much of the report Sarge will complete in 1 hour
(1/10)/x=(4/5)/1
0.10/x=0.8
Make x subject of the formula we have
X=1/8
Hence 1/8 of the report needed to be completed
Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?
A. -12/13
B. -5/13
C. 5/12
D. 12/13
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
Answer:
A
Step-by-step explanation:
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