Step-by-step explanation:
there seems to be something missing.
I assume the slope of the line is -2/3.
the slope of a line is always the factor of x in the equation.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the equation for the line looks like this then :
y = (-2/3)×x + b
to get b we use the provided point (-6, -5) and it's x and y values.
-5 = (-2/3)×-6 + b = 4 + b
b = -9
so, the full equation of the line is
y = (-2/3)×x - 9
Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
you can earn $33 in 8 hours. At this rate, how much would you earn in 5 hours
Answer:
20 pounds and 62p
Step-by-step explanation:
33 divided by 8 then you times it by 5
Factor completely: 8x^2-4x-4
Answer:
4(2x+1)(x−1)
Step-by-step explanation:
8x2−4x−4
8x2−4x−4
=4(2x+1)(x−1)
2.) A group of kids ate 3/4 of a pizza. If each kid ate a 1/8 piece of the whole pizza, how many kids shared the pizza? *youre answer?
HELP ME PLEASE I AM SO DESPERATE THIS IS DUE IN 12 minutes!!!!
Answer:
3/4
Step-by-step explanation:
The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380
please help me with this maths questions
Answer:
yes in this problem u would multiply the exponents due to the parenthesis, equaling 5^18
Let f(t) represent the temperature of a turkey baking in an oven as a function of time (t) in the oven (in minutes). This means time is the independent variable and temperature of the turkey f(t) is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.
1. Describe the rate of change pattern over each interval of the graph listed below:
a) 0 < t < 345
b) 345 < t < 360
c) t > 360
2. Explain what is happening in each interval of your graph in terms of the turkey and its temperature, using complete sentences.
3. Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation.
The following graph shows how many gallons of water leaves a bucket every hour.
- right the slope intercept equation. Find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation
Answer:
thanks for your points and the time
please help im the worst at algebra 2
Answer:
Option AStep-by-step explanation:
According to the matrix, the system is:
3x + 2y -z = 40x + 3y + 7z = 8 ⇒ 3y + 7z = 8x - 3y + 4z = 7Correct match is A
Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?
Answer:
slope = - [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Calculate the slope of line t using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )
m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]
Parallel lines have equal slopes , then
slope of line u is - [tex]\frac{9}{4}[/tex]
Given f(x) = 10x.
a. Graph b(x) = f(x) - 30. Then complete the table of corresponding points for b(x)
Answer:
b(x) = 10x - 30
Step-by-step explanation:
You are given that f(x) = 10x, so in-order to graph the equation, you must plugin the value of f(x).
This gives the equation b(x) = 10x - 30
or y= 10x - 30
The slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the function -
f(x) = 10x
We have the function -
f(x) = 10x
Now -
b(x) = f(x) - 30
b(x) = 10x - 30
This is the equation of a straight line.
Refer to the graph attached.
The slope of the line is [m] = 10
The [y] intercept is at [c] = - 30
Therefore, the slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ2
A package of 5 pairs of insulated gloves costs $33.45. What is the unit price of the pairs of gloves?
The unit price is $
per pair of gloves.
Answer:
$6.69
Step-by-step explanation:
Since we know the total cost of 5 pairs of gloves, all we have to do to find the unit price is divide the total cost by how many gloves were are being sold:
33.45 / 5 = 6.69
Therefore, one pair of gloves costs $6.69
Hope this helps :)
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
Answer:
The slopes of both are m=6
Length of AB=6.082
Length of the image: 3.5 * 6.082 = 21.287
Answer:
Step-by-step explanation:
If 10% is RS 1500 then find 90%.
Answer:
10%=1500
so 100% = 15000
90%= 100% - 10%
15000-1500=13500
90%=13500
in a scholl there are 720 boys and 640 girls find the % of girls
Answer:
47%
Step-by-step explanation:
720+640=
1360. 640/1360 = 47
What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?
Question 23 options:
A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship
Answer: A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
Explanation:
Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.
Put another way: we can fit 3 pyramids into one rectangular block.
please help me or I'm gonna fail math
Answer:
Step-by-step explanation:
as said in my comment
A: (3x-2)X(x+1)
B: substitute 3 in(if m=meters),
(3x3-2)
9-2
7X(x+1)
3+1
4
7X4
28
Answer:
a) 3x^2 + x - 2
b) 28m
Step-by-step explanation:
a) Since the Area for a normal square is b*l (base x length)
Do the same with this (Using FOIL ig)
(3x - 2) * (x + 1)
3x^2 + 3x - 2x - 2
3x^2 + x - 2
b) Since it's asking us to find out what the number will be while x = 3m, just substitute 3 for every "x" in the answer we got for a
3(3)^2 + (3) - 2
3(9) + (3) - 2
27 + 3 - 2
30 - 2
28m
Therefore the actual area of this rectangle is 28m
p + 7 /8 = 18/ 12 what does p equal
Answer:
P = 5/8 or 15/24
Step-by-step explanation:
p = 18/12 - 7/8
p = 36/24 - 21/24
p = 15/24 ( Simplify )
p = 5/8
Answer:
Step-by-step explanation:
[tex]p+\dfrac{7}{8}=\dfrac{18}{12}\\\\p=\dfrac{18}{12}-\dfrac{7}{8}\\\\\\LCM \ of 8 \ and \ 12 \ is \ 24\\\\p=\dfrac{18*2}{12*2}-\dfrac{7*3}{8*3}\\\\p=\dfrac{36}{24}-\dfrac{21}{24}\\\\p=\dfrac{15}{24}[/tex]
[tex]p=\dfrac{5}{8}[/tex]
During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.
1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.
2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.
3.Approximately how long before the puck will hit the ice?
4.For what values of time is the height invalid?
Answer:
put it in desmos and turn it into table
what is 3.26% of 1298
Answer:
42.3148
Step-by-step explanation:
3.26% of 1298
3.26/100*1298
42.3148
HELP ME ASAP!!!!!!!!!!!!!!!!!
Answer:
good luck i need to conquer europe
Hey!
Need help please...
[tex]\sf{What~is~2x~+~16= 8.[/tex]
Answers/w explanation ✅ Nonsense answers, or answers. that I didn't ask for will be reported.
[tex]{ \qquad{ \sf \green{Answer \downarrow}}}[/tex]
Subtract 16 from both sides of the equation.
[tex]{ \qquad{\longmapsto \sf \red{2x + 16 - 16 = 8 - 16}}}[/tex]
[tex]{ \qquad{\longmapsto \sf \blue{Simplify \: now}}}[/tex]Subtract the numbers
[tex]{ \qquad{\longmapsto \sf \red{2x = 8}}}[/tex]
Divide both sides of the equation by the same term.
[tex]{ \qquad{\longmapsto \sf \green{ \frac{2x}{2} = \frac{ 8}{2} }}}[/tex]
Cancel terms that are in both the numerator and denominator
[tex]{ \qquad{\longmapsto \sf{ \qquad\longrightarrow\quad\sf \dfrac{\cancel{2x}}{\cancel{2} } = }}}\qquad\quad\sf\dfrac{\cancel{ 8}}{\cancel{2}}[/tex]
[tex]{ \qquad{\longmapsto \sf{x = {\qquad{ \sf \pink{ 4}}}}}}[/tex]
[tex]{ \red{ \rule{9cm}{0.1cm}}}[/tex]
PLEASE HELP!! 20 POINTS EACH
Joe's dog ate 8 cans of dog food this week. Each can contained 58.7 grams of protein. How much protein was this in all?
Please and thank you!!
Answer:
443.2 grams
Step-by-step explanation:
Each can contains 55.4 grams of protein, and there are 8 cans, so the answer would be 55.4*8 = 443.2 grams.
ebgjwbjhkjfhdsn wmiuehdbnsmkji
Answer:
im srry what
Step-by-step explanation:
DYK?
— Pretty face is everywhere, but a woman who cheer you up at your weakest and stay after knowing about your flaws and bad sides are rare, so you better keep her dude!.
#moodchallenge
solve an equation to find the value of x
Answer:
(7+x)°=180-130
x=50-7
x=43
help! hsjsjsjsjshssjsjshsshhesh
Answer:
5
Step-by-step explanation:
a) Se simplifica la b) Se simplifica
potencia, en este la potencia, en
caso 5 este caso 4.
Step-by-step explanation:
Espero que te sirva
May u give all the answers to these? please and thank you! <3
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Write an equation for the statement
(this applies for all of them <3)
1. The product of nineteen and a number x is seven
2. The sum of a number x and negative thirty is two
3. A number x divided by negative twenty-seven is eight
4. Twelve less than a number x is five
5. One-third of a number x is three
Answer:
1. 19 (x) = 7
2. -32 + x = 2
3. x ÷ -27 = 8
4. x - 12 = 5
5. 1/3 (x) = 3
Step-by-step explanation:
:)
The graph shows the height of a plant over time. What is the unit rate?
In 1990 the profit of Gamma company was 11,218,614 . each year after 1990, profits fell by 13,189 on average. construct a linear model for this scenario and use it to solve the profits in the year 2020.
Answer:
4019800
Step-by-step explanation:
number name
4 million 19 thousand 800