Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
Answer:
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given the equation of the line
[tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]
cross-multiplication, we get
5y = 6x +4
The equation of the straight line is 6x - 5y +4=0
The equation of the perpendicular line to the given line is
b x - ay +k=0
The equation of the perpendicular line to the given line is -5x-6y +k=0
This line passes through the point (-3,2)
⇒ - 5(-3) -6(2)+k=0
⇒ 15 -12 +k=0
⇒ 3 +k=0
⇒ k =-3
Step(ii):-
The equation of the perpendicular line is
-5x-6y-3=0
5x + 6y +3 =0
6y = -5x-3
[tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]
Final answer:-
The equation of the perpendicular line of the given line is
[tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]
5 1/2 - 1 1/3= _______________
Answer: 4 1/6
Step-by-step explanation: I BELIEVE the answer is
If m A is congruent to m B , m B and m C are complementary, and m C= 47
, then find m A .
A. 47
B. 43
C. 90
D. 133
Answer:
B
Step-by-step explanation:
if b and c are complementary that means b + c = 90
b + 47 = 90
b = 43
since a and b are congruent they are equal
if b = 43 then a = 43
For a circle of radius 7 feet, find the length of an arc s with a measure of 26°.
s = 7/180 π feet
s = 91/180 π feet
s = 182 π feet
s = 91/90 π feet
Answer:
Step-by-step explanation:
r = 7 ft
θ = (26/180)π = (13/90)π radians
arc length = rθ = 7×(13/90)π = (91/90)π ft
Simplify the expression if possible (6·7)^3
and write your answer as a power (using exponents).
Answer:
(-1)^1 if exponent is required, but just -1 is correct and easier
Step-by-step explanation:
(6-7)^3
(-1)^3
(-1)*(-1)*(-1) = -1
so if an exponent is required, then c
Find the area of the shaded region. Round to the nearest tenth.
Which part of the water cycle is modeled in the video? (2 points)
Condensation, because liquid water is changing to gas
Condensation, because water is changing from gas to liquid
Evaporation
Answer:
Evaporation
Step-by-step explanation:
because the temperature rises as go up...
Answer: B
Step-by-step explanation: Condensation, because water is changing from gas to liquid
sup smart people I need help
Answer: kid your iq is lower than an e girl could make me a sandwich starting with only fanz got this kid hes so lost more lost then hellen keller looking for her glasses your litterly free sultry shut the f-u-c-k up kid you have no earnings you play on a radio your literally free i packed you out thats my d-i-c-k coming up behind you your dads never coming home your free so free you have to play with tv sound
Step-by-step explanation:
Answer:
Step-by-step explanation:
Switch sides:
x/7=17.92
Multiply both sides by 7:
7x/7=17.92*7
simplify:
x=125.44
Is 5:20 and 15:60 equivalent
Answer:
Yes! When simplifying 15:60 by dividing each side by 3, you get 5:20, which is the same as 5:20.
Step-by-step explanation:
Hope this helps <3
PLEASE HELP!!: For Questions 6 and 7, determine whether each pair of triangles is similar. Justify your answer.
Answer:
6. Not similar
7, Are similar
Step-by-step explanation:
In problem 6 one triangle is a SSA situation and the other triangle is SAS, we cannot say the triangles are similar.
In problem 7, both triangles are a SAS situation, so we need to see if corresponding sides are in proportion.
Is 10/25 = 18/45?
10/25 = .4 and 18/45 = .4
Therefore, the triangles are similar
Write the fractions in order from smallest to largest: 2⁄8, 2⁄3, 2⁄7, 2⁄5.
Answer:
2/8, 2/7, 2/5, and lastly 2/3
Step-by-step explanation:
hope this helped ( correct me if i'm wrong)
The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle
Answer:
The sidelength of the triangles is 6 feet and 8 feet.
Step-by-step explanation:
Given that,
The Hypotenuse of a right triangle = 10 feet
Let the shorter leg is x. It means the longer leg is (x+2).
For a right triangle,
Hypotenuse²=base²+perpendicular²
So,
[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]
The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.
Answer: -8 6
Step-by-step explanation:
[PLEASE BE QUICK] Write the equation of the line in point-slope form that passes through the given point with the given slope. 5. (1, 5); m=-3
Answer:
y-5=-3(x-1) simplified: y=-3x+8
Step-by-step explanation:
y-y1=m(x-x1)
plug in point and slope given
y-5=-3(x-1)
y=-3x+3+5
y=-3x+8
2x - 4y = 10
2y+6=x
What is the best method to solve this system?
Equal values
Substitution
Elimination
What is the solution to the system?
someone please help asap
Answer:
Substitution, but this system of equations has no solution.
Step-by-step explanation:
2x-4y=10
2y+6=x
----------------
2(2y+6)-4y=10
4y+12-4y=10
12=10
no solution.
Can someone figure this out please??
Answer:
I think the answer is (d): 20/29
Answer:
20/29
Step-by-step explanation:
The cos is Adjacent over Hypotenuse. Adjacent to C is 20. Hypotenuse is 29.
Adjacent/Hypotenuse. 20/29. :)
12. Volume of a cube is 648V3 cm³. Find its total surface
area.
Answer:
area= 449.2984 cm^2 if I understand correctly that the volume is 648 cm^3
Step-by-step explanation:
side length=the cube root of 648
side length=8.6535 cm
area=8.6536x8.6535x6=449.2984 cm^2
Which of the following expressions could be used to find the perimeter of this figure?
P = 4(18 mm) + 2(24 mm)
P = 18 mm + 24 mm
P = 2(18 mm) + 4(24 mm)
P = (18 mm)(24 mm)
Answer:
A
Step-by-step explanation:
four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:
P= 4(18mm) + 2(24mm)
A
Answer:
P = 4(18 mm) + 2(24 mm)
Step-by-step explanation:
Calculate the angular momentum that keeps an 80-kg person sitting on the edge of a horizontal rotating platform when the person sits 2 m from the center of the platform and has a tangential speed of 3 m/s
Answer:
[tex]L=480\ kg-m^2/s[/tex]
Step-by-step explanation:
Given that,
Mass of a person, m = 80 kg
The distance from the centre of the platform, r = 2 m
The tangential speed of the platform, v = 3 m/s
We need to find the angular momentum of the person. The formula for the angular momentum is given by :
[tex]L=mvr\\\\L=80\times 3\times 2\\\\L=480\ kg-m^2/s[/tex]
So, the required angular momentum is equal to [tex]480\ kg-m^2/s[/tex].
Answer:
Tangential speed is 0.68 m/s
Explanation:
It is given that,
Mass of the beetle, m = 0.023 kg
It is placed at a distance of 0.15 m from the center of record i.e. r = 0.15 m.
If it takes 0.070 n of force to keep the beetle moving in a circle on the record i.e. centripetal force acting on it is, F = 0.070 N
We have to find the tangential speed of the beetle. The formula for centripetal force is given by :
v is tangential speed
v = 0.675 m/s
or
v = 0.68 m/s
Hence, the correct option for tangential speed is (A).
Step-by-step explanation:
Help show works rep by step I’ll give brainly
Answer:
4 lbs left after 5 days
Step-by-step explanation:
First, you need to step up an equation!
You know that Soomin has a total of 20 pounds and that she's using it, so you are going to use subtraction.
She uses 3 1/5 pounds per day so you write:
20 - 3 1/5x
and you know that she wants to know how much she has left after 5 days so you replace the x with 5:
20 - (3 1/5) * 5
Multiply first:
20 - 16
After Subtracting you get the answer:
4 lbs left
Answer:
4 lbs
Step-by-step explanation:
If she gives 3.2 each day you can multiply by 5 to get 16 then subtract 20 - 16 to get 4
find the value of each variable. please help this is overdue
Answer:
x = 16√3
y = 8√3
Step-by-step explanation:
First, to figure out x, put the side we already know (24) over the cosine of the angle we know (30).
x = 24/cos(30)
(cos(30) is the same as √3/2)
x = 24/√3/2
Step 1: Multiply by 2/√3
x = (24 * 2)/√3
Step 2: Rationalize the denominator by multiplying by √3
x = √3(24 * 2)/√3 * √3
Step 3: √3 squared is 3.
√3(24 * 2)/3
Step 4: Multiply 24 by 2 to get 48.
x = √3(48)/3
Divide √3(48) by 3 to get 16√3
x = 16√3
Before we figure out y, we need to find you what 16√3 squared is.
((16(√3))²
Step 1: Expand the above equation.
16²(√3)²
Step 2: Square 16 to get 256.
256(√3)²
Step 3: √3 squared is 3.
256(3)
Step 4: Multiply 256 by 3 to get 768.
768
Now, subtract 576 (24 squared) from 768 to get 192. Find the square root of that, which is 8√3. (192 = 8² * 3; rewrite as √8²√3, then take the square root of 8²
3y + 7 = 5x 7x - 3y = 1
Answer:
x=-3, y=-22/3. (-3, -22/3).
Step-by-step explanation:
3y+7=5x
7x-3y=1
---------------
5x-3y=7
7x-3y=1
--------------
-5x+3y=-7
7x-3y=1
----------------
2x=-6
x=-6/2=-3
7(-3)-3y=1
-21-3y=1
3y=-21-1
3y=-22
y=-22/3
I'm confused on this
Answer:
y= -2/3x +4
Step-by-step explanation:
(0,4) and (6,0)
m= (y2-y1)/(x2-x1)
m= (0-4)/(6-0)
m= -2/3
y-y1=m(x-x1)
y-4= -2/3(x-0)
y-4= -2/3x
y= -2/3x +4
Answer:
D
Step-by-step explanation:
Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.
At a party there is 1 bottle of cola for every 6 people. If there are 30 people at the party how many bottles of cola are there?
Answer:
5
Step-by-step explanation:
30 divided by 6 = 5
a class of 60 voted for class president. 30% voted for Brad and 70% voted for Jane. How many votes did the winner get?
Answer:
Jane got 42 votes.
Step-by-step explanation:
Step 1: Put 70% into decimal.
0.7
Step 2: Multiple the class of 60 by 0.7 to get the winner's votes:
42
How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/6?
Answer:
3/2 miles per hour
Step-by-step explanation:
How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/6?
Given data
distance= 1/2 miles
time= 1/3 hour
Speed= distance/time
Substitute
Speed= 1/2/1/3
Speed= 1/2*3/1
Speed= 3/2 miles per hour
The coordinates of the vertices of a triangle are G(-4,2), O(5,-1), and T(10,8).
What is the length of the segment joining the midpoint of GT and O?
Answer:
6.33
Step-by-step explanation:
Given the coordinates;
G(-4,2), O(5,-1), and T(10,8).
Midpoint of GT is expressed as;
M = (-4+10/2, 2+8/2)
M = (6/2, 10/2)
M = (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
MO = √(3-5)²+(5+1)²
MO = √2²+6²
MO = √4+36
MO = √40
MO = 6.33
Hence the length of the segment joining the midpoint of GT and O is 6.33
The length of the segment joining the midpoint of GT and O is 6.33.
The calculation is as follows;Midpoint of GT is expressed as;
[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]
= (3, 5)
Hence the midpoint of GT is (3,5)
Find the length of M and O
M (3,5) and O(5,-1)
[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]
= 6.33
Learn more: brainly.com/question/16911495
In 2010, there were 411 Asiatic lions in India. In 2015, there were 523 Asiatic lions in India. Work out the percentage increase in the number of Asiatic lions in India from 2010 to 2015
Answer:
The answer is 27.25.
Step-by-step explanation:
PLLZZZZ HELPPPP NOWWW!!!!!
At the baseball game, 4 hot dogs and 6 soft drinks cost $34, and 3 hot dogs and 3 soft drinks cost $21. Which system of equations below can be used to determine the price of a hot dog and the price of a soft drink?
(Let x represent the cost of a hot dog and y represent the cost of a soft drink.)
A.
7x + 9y = 55
B.
4x + 3y = 34
6x + 3y = 21
C.
4x + 6y = 34
3x + 3y = 21
D.
4x + 3x = 28
6y + 3y = 27
Answer:B
Step-by-step explanation:
If m/B = 41º, what is the measure of angle BCA? Explain your reasoning.
The measure of angle BCA is 81 degrees.
Find the perimeter (add up all the sides) of the quadrilateral in simplest form.
Answer:
[tex]2x + x + \frac{1}{x} + \frac{2}{3x} \\ = \frac{6 {x}^{2} + 3 {x}^{2} + 3 + 2 }{3x} \\ = \frac{9 {x}^{2} + 5 }{3x} [/tex]
Step-by-step explanation:
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