Answer:
[tex]y = -3x + 14[/tex]
Step-by-step explanation:
Required
The equation of line
perpendicular to : [tex]x -3y =9[/tex]
Passes through [tex](3,5)[/tex]
We have:
[tex]x -3y =9[/tex]
Make y the subject
[tex]3y =x - 9[/tex]
Solve for y
[tex]y = \frac{x}{3} - 3[/tex]
Compare the above equation to [tex]y = mx + c[/tex]
[tex]m =\frac{1}{3}[/tex] ---- This represents the slope
Since the line is perpendicular to [tex]x -3y =9[/tex], then its slope is:
[tex]m_2 = -\frac{1}{m}[/tex]
[tex]m_2 = -\frac{1}{1/3}[/tex]
[tex]m_2 =-3[/tex]
The equation of the perpendicular line is:
[tex]y =m_2(x - x_1) + y_1[/tex]
Where:
[tex]m_2 =-3[/tex]
[tex](x_1,y_1) =[/tex] [tex](3,5)[/tex]
So:
[tex]y = -3(x - 3) + 5[/tex]
[tex]y = -3x + 9 + 5[/tex]
[tex]y = -3x + 14[/tex]
need help with this question
Answer:
the anwser is b
Step-by-step explanation
you need to replace the letters with the numbers and youll see
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?
Answer:
-3/7
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -3/7, the red line has a slope of -3/7
Combine like terms and solve: 17x - 3x +8 *
Answer:
14x+8
Step-by-step explanation:
Answer:
14x+8
Step-by-step explanation:
x is a like term here so we can do 17x-3x
17x-3x=14x. 8 has no like terms so it will be 14x+8
Stephan con run 3 miles in 15.75 minutes. Keisha con run 5 miles in 22.6 minutes. Who can run faster?
Answer: Keisha can run faster than Stephan.
Step-by-step explanation:
Let's figure out how long it takes for them to run a mile.
[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]
It would take Stephan 5.25 minutes to run a mile
[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]
It would take Keisha 4.52 minutes to run a mile
Since Keisha takes less time to run a mile she is faster.
Answer:
Keisha can run faster
Step-by-step explanation:
Stephan can run
3 miles in 15.75 min.
so divide 15.75 by 3 min which would give you:
5.25 mi.
Now Keisha can run
5 miles in226 min
now divide 22.6 by 5 min which would give you
4.52 min
so that means Stephan can run faster then Keisha since 4.52<5.25
Keisha can run faster, since 4.52<5.25
Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π
A)62.8
B)31.4
C)None of these answers
D)1,256
E)314
Answer:
62.8 inches
Step-by-step explanation:
c = πd
c = 3.14 * 20
c = 62.8 inches
According to ADA guidelines, at most, an incline can be 8.5°. Is the following incline acceptable? If yes, prove it. If not, explain why and change one dimension in the design so that it would be.
Answer:
Let the angle is x.
We have:
tan x = 15/90tan x = 1/6x = arctan (1/6)x ≈ 9.5°Since 9.5° > 8.5° it is not acceptable.
If the angle is 8.5° and the height is x, then we have:
tan 8.5° = x / 90x = 90 tan 8.5°x = 13.45 ftThe height is at most 13.45 ft
Blank is 10 times the value of 70
Answer:
10x70=700
Step-by-step explanation:
Answer:
700
Step-by-step explanation:
7 x 10 = 700
There are 924 people in a theatre.
383 of the people are men.
356 of the people are women.
2
of the children are boys.
5
Work out how many girls are in the theatre
[tex]924 - (383 + 356 + 2 + 5 )[/tex]
Answer:
Step-by-step explanation:
total no. of people in the theatre = 924
men=383
women=356
boy children =2
doing workout 5
total=746
no. of girls= 924-746=178
Therefore, the number of girls are in the theatre are 178.
questions 1 and 2, please
Answer:
too blurry cant read it
Step-by-step explanation:
.........................................................
I need help!!!!!!!!???!!!!!!!!??
hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello
Step-by-step explanation:
hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello
She got the given variable
Answer:
125 ov?/70*5
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
70+5f=125. [exterior angle is equal to sum of interior opposite angles]
5f=125-70
5f=55
f=11
The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?
Answer:
1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11
Step-by-step explanation:
Give me brainiest answer please! :D
Need assistance in processing this equation?
Sarah’s meal cost $28.80 without tip how much will she pay including 25% tip
Answer:
$ 36.00
Step-by-step explanation:
Tip Total: $ 7.20
Total (Bill + Tip): $ 36.00
Which figure has at least one line of symmetry?
Answer:
it the first diagram for this question.
how do i solve this?
Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
This is a special right triangle, the side length that sees 30 degrees is equal to 5 then the side length that sees 90 degrees is 10 and the side length that sees angle measure 60 degrees is 5[tex]\sqrt{3}[/tex]
#6
A. 1/25
B. 2/45
C.1/5
D. 1/18
A building 230 feet tall casts a 80 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the
building.)
Hope this help!!!
Have a nice day!!!
The angle between the end of the shadow and the vertical side of the building is approximately 70.4°.
How to calculate the angle?The tangent function to find the angle between the end of the shadow and the vertical side of the building. Let x be the measure of the angle, in degrees. Then:
tan(x) = opposite/adjacent
tan(x) = 230/80
tan(x) = 2.875
To solve for x, we take the inverse tangent of both sides:
x = tan⁻¹(2.875)
x ≈ 70.4
Therefore, the angle between the end of the shadow and the vertical side of the building is approximately 70.4°.
To know more about an angle follow
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Choose the appropriate condition for the following pairs of triangles to be congruent.
Answer:
1. ASA, 2. SSS, 3. ASA
Step-by-step explanation:
1. It is given to us that these two triangles share two of the same angles. We can also see that they share a side together. 2 angles and a side means ASA.
2. It is given to us that these two triangles share two of the same side lengths. We can also see that they share a side together. 2 sides gives us SSS.
3. It is given to us that these two triangles share 1 of the same angles and 1 of the same side lengths. We can also see that they share a vertical angle, which by definition means they have the same measurement. 2 angles and a side gives us ASA.
Camden is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
If segments DE and AB are parallel, which of the following expressions will help Camden determine the length of DC?
DC equals EC times AC all over BC
DC = EC
DC equals EC times AC all over AB
DC = AB
Answer:
A) DC equals EC times AC all over BC.
Step-by-step explanation:
We know that:
[tex]DE\parallel AB[/tex]
Then by corresponding angles:
[tex]\angle CAB\cong \angle CDE\text{ and } \angle CBA\cong \angle CED[/tex]
So, by AA-Similarity:
[tex]\Delta CDE\sim \Delta CAB[/tex]
Corresponding sides of similar triangles are in proportion. Hence:
[tex]\displaystyle \frac{DC}{AC}=\frac{EC}{BC}[/tex]
By multiplying both sides by AC:
[tex]\displaystyle DC=\frac{EC\cdot AC}{BC}[/tex]
DC is equal to EC times AC over BC.
Hence, our answer is A.
Answer:
DC equals EC times AC all over BC
Step-by-step explanation:
Find the indicated area of the sector surrounded in bold.
Answer:
75.36 yd² (≈ 75.4 yd²)
Step-by-step explanation:
GIVEN :-
Angle subtended by the arc at center of circle (θ) = 135°Radius of the circle = 8 ydTO FIND :-
Area of the sectorGENERAL FORMULAE TO BE USED IN THI QUESTION :-
Lets say there's an arc which subtends θ angle in the center of the circle & radius of the circle is 'r'.
Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]
SOLUTION :-
Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]
[tex]= \frac{135}{360} \times \pi (8)^2[/tex]
[tex]= \frac{3}{8} \times 64 \times 3.14[/tex]
[tex]= 3 \times 8 \times 3.14[/tex]
[tex]=75.36 \; yd^2[/tex]
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 70 mph. The westbound train travels at 90 mph. How long will it take for the two trains to be 192 miles apart.
Answer:
1.2 hours
Step-by-step explanation:
Recall :
Distance = speed * time
Let the time taken = x
Creating an equation for the question :
Distance of train A + Distance of train B = 192
70 * x + 90 * x = 192
70x + 90x = 192
160x = 192
x = 192 / 160
x = 1.2
It takes 1.2 hours to be 192 miles apart.
Susie works as a mail clerk. She earns 8.125 and hour and worked 35.525 hours last week. What is her straight time pay
Answer:
Total pay=$288.64
Step-by-step explanation:
Giving the following information:
Hourly rate= $8.125
Number of hours worked= 35.525
To calculate the total pay of the week, we need to use the following formula:
Total pay= hourly rate * number of hours worked
Total pay= 8.125*35.525
Total pay=$288.64
William has three $10 bills and four $1 bills in his wallet. What is the probability that he will reach into his wallet twice and pull out a $10 bill each time? Assume he does not replace the first bill when he pulls out the second one.
Answer:
Step-by-step explanation can’t because he might pull out more than 10 dollars or less than 10 dollars.
Find the area of the figure described
Answer:
153.94
Step-by-step explanation:
A=πr2=π·72≈153.93804
hope this helps!
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Did I answer this correctly? Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve this system of linear equations in the correct sequence.
Put the following in order:
A. Subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x.
B) Substitute the value of x in the first equation (x + y = -2) to get y = 1.
C) The solution for the system of equations is (-3, 1).
D) x = -15
E) The solution for the system of equations is (-15, 13).
F) Add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x.
G) x = -3
H) Substitute the value of x in the first equation (x + y = -2) to get y = 13.
J) Multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.
Remember that only 5 can be used.
9514 1404 393
Answer:
your 3rd step should be x = -3
Step-by-step explanation:
When you combine the equations in step 2, you get ...
5x = -15
Dividing by 5 gives the solution for x:
x = -3
This is what your Step 3 should show. This is the value that is consistent with the remaining steps.
Answer:9514 1404 393
Step-by-step explanation:
Solve the equation x - 15 = 42.
X=______
Answer:
[tex]x - 15 = 42 \\ x = 57[/tex]
Answer:
x = 57
Step-by-step explanation:
x - 15 = 42.
Add 15 to each side
x - 15+15 = 42+15
x = 57
if cosø = -5/13 and sin ø<0 what is tan ø
Answer:
12:5
Step-by-step explanation:
I need answers to, tan x = 23/41 and sin x = 23/45
Answer:
See below. Remember to take the inverse trig function of both sides!
Step-by-step explanation:
The solution to [tex]tanx=\frac{23}{41}[/tex] is [tex]x=tan^{-1}(\frac{23}{41})=29.29136217^\circ[/tex]
Similarly, the solution to [tex]sinx=\frac{23}{45}[/tex] is [tex]x=sin^{-1}(\frac{23}{45})=30.73786867^\circ[/tex]
Need to pass please help
