Answers
Answer:
The slope of the line is 3.
Step-by-step explanation:
Given function;
x(t) = -t² + 5t
y(t) = 3t, when t = 2
[tex]\frac{dx}{dt} = -2t + 5[/tex]
[tex]\frac{dy}{dt} = 3[/tex]
[tex]\frac{dy}{dx}= \frac{dy}{dt} \ \times \ \frac{1}{\frac{dx}{dt} } \\\\\frac{dy}{dx}= 3 \ \times \frac{1}{-2t + 5} \\\\\frac{dy}{dx}= \frac{3}{-2t + 5}[/tex]
t = 2
[tex]Then, \ \frac{dy}{dx}= \frac{3}{-2(2) + 5} \\\\\frac{dy}{dx}= \frac{3}{-4 + 5} \\\\\frac{dy}{dx}= \frac{3}{1} \\\\\frac{dy}{dx}= 3[/tex]
Therefore, the slope of the line is 3.
Related Questions
If csc Ф = 4/3, what is the value of sin Ф
Answers
Step-by-step explanation:
Since cosecx = 1 / sinx,
sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.
PLSSSSSSSS HELPP
Does this table of values represent a linear relationship? Explain your answer.
Answers
30. Find the equation of straight line whose slope
is 3 times and y-intercept is double of the line
2x - 3y = 4.
Answers
Step-by-step explanation:
gradient/slope = 3
y-intercept
2x - 3y = 4
3y = 2x - 4
y = 2/3x - 4/3
so y-intercept is double -4/3 so... -4/3x2 = -8/3
the equation of the line is
y = 3x - 8/3 or 9x - 3y = 8
Answer:
3y=2x-8
Step-by-step explanation:
when y intercept x=0
2(0)-3y=4
-3y=4
y=-4/3
when x intercept y=0
2x -3(0)=4
2x =4
x=2
point (2,-4/3)
gradient
-3y=-2x +4
y=2x/3-4/3
gradient=2/3
equation
y+4/3=2/3(x-2)
3y+4=2x-4
3y=2x-8
What is the solution for the following inequality?
-5(p-19)<-10+2p
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
p>15
Interval Notation:
(15,∞)
:)
105 _ 7p
P=15
Quick
Check
upplementary Angles
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
1
1
0 21 and 22
3
4
2
0 21 and 23
0 21 and 24
22 and 23
O 22 and 24
23 and 24
Answers
Answer:
1&3
1&4
2&3
2&4
are all supplementary angles
Answer:
The answer is:
1&3
1&4
2&3
2&4
Step-by-step explanation: did it on edge 2022.
OK i need big help!!!! And it's really easy!
Answers
Find the difference.
6 - (-3) =
Answers
Answer:
9
Step-by-step explanation:
when 2 negative signs meet or be multiplied the sign became "+" instead of "- -".
Proove that: tanα + cotα = secα. cosecα
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan a = [tex]\frac{sina}{cosa}[/tex], cot a = [tex]\frac{cosa}{sina}[/tex]
sec a = [tex]\frac{1}{cosa}[/tex], cosec a = [tex]\frac{1}{sina}[/tex]
Consider the left side
tana + cota
= [tex]\frac{sina}{cosa}[/tex] + [tex]\frac{cosa}{sina}[/tex]
= [tex]\frac{sin^2a+cos^2a}{cosasina}[/tex]
= [tex]\frac{1}{cosasina}[/tex]
= [tex]\frac{1}{cosa}[/tex] × [tex]\frac{1}{sina}[/tex]
= seca . coseca
= right side , thus proven
Find the Slope given the points: (1,8) and (-2,-1)
Answers
Answer:
m = 3
Step-by-step explanation:
If A =30 and B =60. verifiy that 2 sin A cosA =2tanA/1+tan²A
Answers
Step-by-step explanation:
It's given that A = 30° . Lets find the sin , cos & tan of A
⇒ [tex]\sin A=\sin30 = \frac{1}{2}[/tex]
⇒ [tex]\cos A = \cos 30 = \frac{\sqrt{3} }{2}[/tex]
⇒[tex]\tan A = \tan 30 = \frac{1}{\sqrt{3} }[/tex]
Lets solve the LHS (Left Hand Side) :-
[tex]2(\sin A \times \cos A) = 2(\frac{1}{2} \times \frac{\sqrt{3} }{2}) = \frac{\sqrt{3} }{2}[/tex]
Now lets solve the RHS (Right Hand Side) :-
[tex]\frac{2\tan A}{1+\tan ^{2}A } = \frac{2 \times \frac{1}{\sqrt{3} } }{1 + (\frac{1}{\sqrt{3} } )^{2} } = \frac{2}{\sqrt{3} } \div ( 1 + \frac{1}{3} ) = \frac{2}{\sqrt{3} }\div \frac{4}{3} = \frac{2}{\sqrt{3} } \times\frac{3}{4} =\frac{\sqrt{3} }{2}[/tex]
∴ LHS = RHS ( Proved )
If sin 0 = -0.6 and cos 0 = -0.8, find the cot O
Please helppp
Answers
Answer:
cotθ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Using the trigonometric identity
cot x = [tex]\frac{cosx}{sinx}[/tex], then
cotθ = [tex]\frac{-0.8}{-0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
A graph of 2 functions is shown below.
Which of the following is an approximate solution for f(x) = g(x)?(
Answers
Answer:
Step-by-step explanation:
Unfortunately you did not post all the options, so .... now just figure it out ...
Solve: log4(x - 5) = 1/2
Answers
Answer:
D. 7
Step-by-step explanation:
4 power 1/2 =x -5
2 = x - 5
2+5 = x
x = 7
QUIYING WANTS TO MAKE PANCAKES FROM A RECIPE GIVEN ON THE BOX. THE RECIPE CALLS FOR 2 CUPS OF STRAWBERRIES, 5 CUPS OF PANCAKE MIX AND 4 CUPS OF MILK. QUIYING ONLY HAS 3 CUPS OF PANCAKE MIX LEFT IN THE BOX. HOW MANY CUPS OF STRAWBERRIES SHOULD QUIYING USE SO THAT HER PANCAKES COME OUT EXACLY LIKE THE PANCAKES THAT THE BOX RECIPE RECOMMENDS.
Answers
Triangle ABC is similar to triangle EBD.
y
6
5
A
4
3
2
1
B
-6-5-4-3-2-1 1 2 3 4 5 6
NE
ED
-4
-5
-6+
which two transformations performed on triangle ABC and its image will prove triangle ABC and triangle EBD are similar?
dilation centered about the origin, with a scale factor of
A rotation of 90° clockwise about the origin
D.
2
B. rotation of 90° counter-clockwise about the origin
dilation centered about the origin, with a scale factor of
2
C. rotation of 270° clockwise about point C
F. dilation centered about point C. with a scale factor of 2
Answers
Answer: B
Step-by-step explanation: I did deh math ._.
b
Step-by-step explanation:
Okay soo its B its b its b its b
Solve the equation.
IM
4=t/2.5
Answers
Answer:
t=10
Step-by-step explanation:
4=t/2.5
4=t/25/10
divide 25and10 by 5=5/2
4=t/5/2
4=t×2/5
multiply both sides of the equation by 5
5×4=t×2/5×5
20=t×10/5
20=t×2
— —
2. 2
10=t
A members-only speaker series allows people to join for $11 and then pay $7 for every event attended. What is the total cost for someone to attend 4 events?
Answers
Answer:
The answer to this is $39
Answer:
$39
Step-by-step explanation:
7 × 4 = 28
28 + 11 = 39
$39
Express 0.361 recurring as a fraction.
(only the 61 recurs)
Answers
9514 1404 393
Answer:
179/495
Step-by-step explanation:
When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.
Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.
Then the entire decimal is ...
0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
Answers
Answer:
The Width of each side of the bookmark in centimeters = 5cm
Step-by-step explanation:
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
The formula for perimeter fo a rectangle =
P = 2L + 2W
Where L = Length
W = Width
Hence: From the above question:
38cm = 2 × 14 cm + 2 W
38cm = 28cm + 2W
2W = 38cm - 28cm
2W = 10cm
W = 10cm/2
W = 5cm
Hence, the Width of the rectangle(each side of the bookmark in centimeters) = 5cm
What does 2a + 3c + 4d simplify to?
Answers
Answer:
2a + 3c + 4d
Step-by-step explanation:
This is the answer because:
1) Nothing further can be done to this equation since there are no like terms.
Therefore, the answer is 2a + 3c + 4d.
Hope this helps! :D
30 IS 15% of WHAT number?
A. 333.3
B. 266.6
C. 600
D. 200
Answers
Answer:
The correct answer is D) 200
Step by step explanation:
Let x be the number:
Then,
→15/100(x)=30
→3/20(x)=30
→3x/20=30
→3x=20⋅30
→3x=600
→x=600/3=200
Hope it helps!
Answer:
D 200
Step-by-step explanation:
Let the number we are find be x. We can write this as an equation:
30 = 15%*x = (15/100)x
Multiplying by 100/15 on both sides to isolate x:
x = 30(100/15) = 2(100) = 200
Therefore, 200 is our answer. I hope this helps! :)
A $300 suit is marked down by 20%. Find the sale price rounded to the nearest dollar.
Answers
Answer:
240 is the mark down.
Step-by-step explanation:
1 - .20 = 0.8
0.8 x 300 = 240
Answer:
$240
Step-by-step explanation:
Which ordered pair is a solution of the equation?
y = -2x + 5
Answers
Answer:
(0,5)
Step-by-step explanation:
A triangle has sides with lengths of 7 millimeters, 16 millimeters, and 18 millimeters. Is it a right triangle?
Answers
i dont think so because wouldnt be 18 and 18 or 16 and 16 like it just seems like it wouldnt be
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the point (-8, – 2) and has a slope of m=5.
y- □=□(x-□)
Answers
Which is,
y + 2 = 5(x + 8)
Explanation:
find the value of X in each of the given triangles.
Answers
<DSR + <SRD + <RDS = 180° (Angle sum property)
2x + x +3x = 180°
6x = 180°
x = 180°/6
x = 30°
So, <SRD = x = 30°
<RDS = 3x = 3(30°) =90°
<DSR = 2x = 2(30°) = 60°
Hope it helps !
✌️
Jai hind !
Answer:
[tex]3x + 2x + x = 180 \\ 6x = 180 \\ \boxed{x = 30}[/tex]
Angles are 30°,60° and 90°.
x=30 is the right answer.Which equation has a constant of proportionality equal to 2?
y=10/5x
y=2/2x
y=2/4x
y=22/2x
Answers
Answer:
A
Step-by-step explanation:
xy = 10/5 = 2
the other wrong because
xy = 1
xy = ½
xy = 11
Last Friday, 54 students did not eat breakfast at school and 126 students ate breakfast at school. What percent of the
students ate breakfast at school yesterday?
B
30%
A
43%
D
70%
с
54%
-
Answers
Answer:
Concept: Statistics
Assuming yesterday is Friday You have a total school population of: 126+ 54=180 We are asked about those that ate So 126/180= 70%Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?
A The length is 6 inches, and the width is 10 inches.
B The length is 1.5 inches, and the width is 2.5 inches
C The length is 5 inches, and the width is 10 inches.
D The length is 5 inches, and the width is 7 inches.
Answers
Answer: 6 in. x 10 in.
Step-by-step explanation:
Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster.
1. The scale of enlargement is 2 inches to 1 centimeter.
2. The actual length of the stamp = 3 centimeters
3. The length of frame = 2 x 3 = 6 inches
4. The actual width of the stamp = 5 centimeters
5. The width of frame = 2 x 5 = 10 inches
Conclusion: Because of this, the dimensions for the scale picture would be 6 by 10 inches
can someone teach me similar shapes and how i would find volume and area as well as congruency in triangles, thanks
I don't get it at all
Answers
Answer and Step-by-step explanation:
It's very easy.
If you have two shapes, let's say triangles, the shapes are said to be similar if the corresponding angles are equal. For instance a triangle ABC with angles A = 45, B = 45 and C = 90 if there is another triangle PQR with angles P = 45, Q = 45 and R = 90, we say triangle ABC and triangle PQR are similar because their corresponding angles are equal.
Two triangles are said to be congruent if they are exactly the same in angles and size. All congruent shapes are similar but not all similar shapes are congruent.
To find area of similar shapes, we need what we call the scale factor of the enlargement.
If we have two similar shapes where by one is an enlargement of the other. Let's say the enlargement is in ratio 2:1. This ratio 2:1 is what we call scale factor. If we want to find the area of one shape given the area of a similar one to it, we make use of
Area = (scale factor)². For instance if we have two similar triangles, the area of the bigger is 16cm² and the scale factor is 2:1, we can find the area or the smaller by:
(2/1)² = 16/X = 4/1 = 16/X
4x = 16 and x = 4.
To find volume we use:
Volume = (scale factor)³ and the process is the same.