If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope . To do that we are going to use the slope formula: .
From our two points we can infer that , , , . Lets replace those values in the slope formula:
Now that we have our slope, we can use the slope-intercept formula:
We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is .
A rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'. What is the geometric probability that a model rocket falling randomly on the pad will land in the target?
Answer:
9.6%
Step-by-step explanation:
The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
To get the geometric probability, we must find the area of the rectangle.
Total outcomes = 20' × 25' = 500'
Total favourable outcomes = 6' × 8' = 48'
Probability = 48/500 = 0.096
= 0.096×100 = 9.6%
Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
PLZS HELP THIS IS MY LAST QUESTION!!
Answer:
x = 30Step-by-step explanation:
According to figure,
54° + 3x+36° = 180° [Linear pair]
=> 3x + 90 = 180
=> 3x = 180 - 90
=> 3x = 90
[tex] = > x = \frac{90}{3} [/tex]
=> x = 30 (Ans)
Answer:
x=30
Step-by-step explanation:
cuz that line is 180 degrees and using algebra you can subtract 54 from both sides and get 126 then u have to subtract the 36 from both side to geth 90 and then divide the 3x to get x by itself which would leave u with 30 so x=30
A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?
Answer:
813.681818182
(That's the exact number, but you can circle it to 813.7 )
Step-by-step explanation:
459%22=20.8636363636
20.8636363636 x 39= 813.681818182
‼️ PLEASE HELPPPP ‼️
Answer:
blank 1- 2304
blank 2- 2736
Step-by-step explanation:
hope it helps
You have $25 in your bank account. You start saving $9 each week. Your friend has
$10 in his account and is saving $12 each week. Which system of equations could be
used to model the total amount in the bank account, t as a function of weeks, w.
A)t=9w+25. T=12w+10
B)t+w=25. 10t+9w=12
C)t=9w+12w. T=10w+12
D)t=9w+12w. T+w=25
Answer:
A)t=9w+25. T=12w+10
Step-by-step explanation:
Equation for you:
t = 25 + 9w
Equation for friend:
t = 10 + 12w
LINEAR RELATIONSHIPS MATH, PLEASE HELP !!!!!!
Answer:
c.
Step-by-step explanation:
A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probability that the point is inside the circle?
Given :
A circle is inscribed in a square with a side length of 144.
So, radius of circle, r = 144/2 = 72 units.
To Find :
The probability that the point is inside the circle.
Solution :
Area of circle,
[tex]A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2[/tex]
Area of square,
[tex]A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2[/tex]
Now, probability is given by :
[tex]P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785[/tex]
Therefore, the probability that the point is inside the circle is 0.785 .
questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Answer:
9: one solution
10: 121
Step-by-step explanation:
Hope that helped!! maybe brainliest?
edit: so sorry 9 is actually two solutions not one
Someone please help me with this question I would really appreciate it!
Answer:
she is correct
Step-by-step explanation:
along with color she also has the type
like type:leather= color brown ,black ,blue
cloth= tan and gray
multiplication
type =2
leathers color =3
cloth color = 2
= 12
A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree.
Answer:
60.1°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin x = Opposite/Hypotenuse
x = Angle of Depression
Opposite = 15ft
Hypotenuse = 17.3ft
sin x = 15ft/17.3ft
x = arc sin (15ft/17.3ft)
x = arcsin(0.8670520231213873)
60.117851927°
Approximately Angle of depression = 60.1°
Form and solve an equation for .
2x
x+30
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the triangle and equate to 180
2x + x + 30 + 90 = 180
3x + 120 = 180 ( subtract 120 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
A coat has an original price of $48.99. Gloria wants to calculate the final cost of the coat including the 7% sales tax. She could use the expression 0.07 (48.99) + 48.99 to determine the final cost. Which other express could she also use to determine the final cost?
(0.07) ($48.99)
(1.07) ($48.99)
(1.93) ($48.99)
(0.93) ($48.99)
What is this answer
Do anyone know this problem?
Answer:
me kown it
Step-by-step explanation:
Solve for x, then find the m HED. Please helppp
Answer:
x=3, HED =39
Step-by-step explanation:
Solution :
[tex]10x + 21 + 13x = 90[/tex]
[tex]23x = 90 - 21[/tex]
[tex]23x = 69 = > x = 3[/tex]
Angle HED = 13 × 3 = 39°
Hope this helps!
6x2 + 28x - 2 = 2x - 10
Answer:
x = -1/3 or x = -4
Step-by-step explanation:
Answer:
x= [tex]\frac{-1}{3}[/tex]
x= -4
Step-by-step explanation:
[tex]6x^2+28x-2=2x-10[/tex]
Subtract 2x - 10 from both sides.
[tex]6x^2+26x+8=0[/tex]
[tex]x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}[/tex]
x= [tex]\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}[/tex]
x= [tex]\frac{-26 +/ \sqrt{676-192} }{2(6)}[/tex]
x= [tex]\frac{-26+/\sqrt{484} }{2(6)}[/tex]
x= [tex]\frac{-26+/22}{12}[/tex]
x= [tex]\frac{-26+22}{12}[/tex] = -0.33333333333333 = -1/3
x= [tex]\frac{-26-22}{12}[/tex]= -4
A student incorrectly says the volume of the regular hexagonal prism, to the nearest cubic centimeter, is 1,619 cm3. What is the correct volume? What error did the student most likely make?
The volume of the regular hexagonal prism is ___ cm3.
Answer:
17.5
Step-by-step explanation:
help! My back door is jammed and my dog is outside! What do I do?
Answer:
go through the other door and get your dog... and then just wait for a parent to fix the door so you dont rip it of the rims
Step-by-step explanation:
Answer:
Just go out through the backdoor and save your dog and wait for your parents duh
 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
Given:
[tex]\sin x=-\dfrac{15}{17}[/tex]
x lies in the III quadrant.
To find:
The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,
[tex]\sin^2 x+\cos^2 x=1[/tex]
[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]
[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]
[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]
x lies in the III quadrant. So,
[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]
[tex]\cos x=-\dfrac{8}{17}[/tex]
Now,
[tex]\sin 2x=2\sin x\cos x[/tex]
[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]
[tex]\sin 2x=-\dfrac{240}{289}[/tex]
And,
[tex]\cos 2x=1-2\sin^2x[/tex]
[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]
[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]
[tex]\cos 2x=\dfrac{289-450}{289}[/tex]
[tex]\cos 2x=-\dfrac{161}{289}[/tex]
We know that,
[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]
[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]
[tex]\tan 2x=\dfrac{240}{161}[/tex]
Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].
What is the distance between the two points?
What is the 109th term of the arithmetic sequence {963, 936, 909, 882, …}?
a.3,879
b.2,674
c.-1,980
d.-1953
Answer:
D. a109=-1,953
3+p=8 what the answer??
Answer: 5
Step-by-step explanation:
Which term below correctly completes the following sentence?
If a function has a vertical asymptote at a certain x-value, then the function is ______ at that value.
A. zero
B. rational
C. negative
D. undefined
The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
We have given that,
A function has a vertical asymptote at a certain x-value, then the function------ is at that value.
We have to determine the value and fill in the blank.
What is the vertical asymptotes?
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
Therefore option D is correct.
Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
To learn more about asymptotes visit:
https://brainly.com/question/4138300
#SPJ2
Answer:
D. undefined
Step-by-step explanation:
what is the slope of the line that contains the points (13,2) and (3,-2)
Answer:
⅖
Step-by-step explanation:
please like my answer and brainliest me... hshshshshs
Suppose you had to decide between an apartment that cost $800/month for a month-to-month contract, or $650 for an annual contract. The annual contract includes a 2- month early termination penalty if you leave before 12 months
Answer:
Step-by-step explanation:
Incomplete question, but if my guess is correct, you're trying to determine which is a better deal between the two. I will go with the second one. The $650/month rent.
I choose so because, $800/month totals to $9600 at the end of the year. While $650/month totals to $7800 per year. Again, with the $650/month, if you try to leave before the end of the year, say 11 months even, you pay a penalty of $1300, which still leaves you on the profit side. And the whole idea of choosing is to find which is more beneficial and cost effective.
slope between the points (5, 1) and (7,
-9)
Answer:
Slope : 5x
Step-by-step explanation:
please help me i don’t know te anser
A=b h................
Answer:
A = 20
Step-by-step explanation:
A = bh
b = 4
h = 5
4 × 5 = 20
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
p-3=8.25
p=11.25
Answer:
p - 3 = 8.25 and 11.25
Step-by-step explanation:
hi there!
the question is asking us to first find out which equation we can use to solve this wordy problem.
its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.
knowing that now, our answer is p - 3 = 8.25 or 4 !
now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it
3 + 8.25
= 11.25
p = 11.25 <---------------- our final answer!
i hope this helped you! i hope you have a good rest of your day :)
( im sorry if this this late!! )
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
30 points
Answer:
hope this helps .keep on learning
DONT CLICK LINKS THEY ARE TRY TO GET INFO FROM YOU THRY ARE LYING
Answer:
they try to hack you and steal information that others should not know!! always report them.
Step-by-step explanation: