Answer:
The point P is (-15,0).
Step-by-step explanation:
We need to find the slope of the line L to get the coordinates of P.
We know that L is tangent to the circle at point (-3, 6), which means L is perpendicular to the radius of the circle (a line between the origin (0,0) and the tangent point (-3,6))
So let's find the slope or the radius.
[tex]m_{R}=\frac{6-0}{-3-0}[/tex]
[tex]m_{R}=-2[/tex]
Now, we know that if two lines are perpendiculars their slopes follow the rule:
[tex]m_{L}=-\frac{1}{m_{R}}[/tex]
[tex]m_{L}=\frac{1}{2}[/tex]
Knowing the slope of L we can find the equation of this line. The slope-intercept equation of a line is:
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{2}x+b[/tex]
Using the point (-3,6) we can find b.
[tex]6=\frac{1}{2}(-3)+b[/tex]
[tex]b=\frac{15}{2}[/tex]
The line equation will be:
[tex]y=\frac{1}{2}x+\frac{15}{2}[/tex]
The point P has only an x-coordinate value (x,0)
So we have:
[tex]0=\frac{1}{2}x+\frac{15}{2}[/tex]
[tex]x=-15[/tex]
Therefore, the point P is (-15,0).
I hope it helps you!
I have to pass pls help
how would i answer this?: Evaluate 3t + 22 when t = -17
Answer:
Step-by-step explanation:
you substitute -17 for t
3x-17=-51
-51+22=-29
what is -5x^2 = -50?
Answer:
x = 3.1622776
Step-by-step explanation:
Dan read 3 books in 5
days. How many books
would Dan read in 1 week?
What is the quotient of the expression: 12/-3
Answer:
-4
Step-by-step explanation:
trust me im smart
Answer:
-4
Step-by-step explanation:
12 divided by -3 = -4
-4 is your answer
What is the value of x?
Answer:
X= 120
Step-by-step explanation:
Keith downloaded 18
songs in 3 minutes.
What's the slope?
Answer:
54
Step-by-step explanation:
I don't understand this, could somebody tell me what to do?
Answer:
basically you take the original price aka the first thing so the price of the obj and you increase or decrease by the following percent.
Step-by-step explanation:
(if u dont get how to actually do the math just search up how to increase and decrease by fractions cause its kinda too long for me to explain) i hope this kinda-ish helped.
Pls help me and dint just say random pls
Answer:
the least rolled value is 2
Step-by-step explanation:
it has the least frequency of being rolled, only 4, compared to all the other values
I need help on this question
Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.
Answer:
Im not sure but i think its b or c
Step-by-step explanation:
I would probably mostly recommend b
Ashley is driving at a rate of 15 miles per hour. How far will she get if she drives 6 hours
Answer:
90 miles
Step-by-step explanation:
6 x 15 = 90
Plzzzzzzzzzzzzzzzz Helo
Answer correct please but It can tell if the answer is wrong
Answer:
im pretty sure 20 seconds
Step-by-step explanation:
Answer:
11.494 seconds
Step-by-step explanation:
I don't think you need to show work
Chris needs an extension cord to set up his new video game. How many 2-meter cords will he need to reach 7 meters?
Answer:
4 two meter cords
Step-by-step explanation:
Answer:
7/2=3.5
Step-by-step explanation:
the equations with the equal method value
Answer:
a. x=2 y=8
Step-by-step explanation:
6x-4=-3x+14 y=6x2-4 12-4=8
9x-4=14
9x=18
x=2
Raven graphed the function f( x) = −x2+8x . Which of the following is the vertex of Raven’s graph?
a)(4, 16)
b)(-4, 16)
c)(4, -16)
d)(-4, -16)
Answer:
a) (4,16)
Step-by-step explanation:
I believe it's this one. I have the same exact question :))
Find the area of the figure below. 10 ft 5 ft 5 ft 17.5 ft A) 175 ft? B 150 ft © 200 m2 D 25ft?
Answer:
175
Step-by-step explanation:
Find the value of (-15/8 + 1.5) = (15 – 14 3/4)? *
-3/2
0 -3/32
O 3/32
O 3/2
Answer:
OKey
Step-by-step explanation:
its 16,2341242112
(06.06) 4 3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property? (4 points) 3x + 12 (3 + x) + 4 O (x +4) 3 O 3x + 4
Answer:
im on the same one if i get it right i will comment and tell u k?
Step-by-step explanation:
kk
Answer:
A
Step-by-step explanation:
what does x equal in this equation -5x + 8 = -2
Answer:
x = 2
Step-by-step explanation:
-5x + 8 = -2
-5x + 8 - 8 = -2 -8
-5x = -10
-5x/5 = -10/5
-x = -2
x=2
Simplify the equation:
-5x = 2 + 8
-5x = 10
x = -2
it's due in a few minutes, ill pay $5 on cashapp, and give you brainliest if your answer is right. just drop ur cash app.. helppp
Calculate the wavelength of a space shuttle with a mass of 2.05 x 107kg traveling at a rate of 7.85 x 103 m/s.
Answer:nunya
Step-by-step explanation:
Which equations have the same value of x as Two-thirds (6 x + 12) = negative 24? Select two options.
4 x + 8 = negative 24
9 x + 18 = negative 24
4 x = negative 16
StartFraction 18 x + 36 over 2 EndFraction = negative 24
4 x = negative 32
Answer:
2/3(6x+12) = -24 can be simplified to
4x+8 = -24 so the first answer is right and if you further simplify it by subtracting the 8 you get
4x = -32
Step-by-step explanation:
Answer:
A.) D.)
Step-by-step explanation:
edge 2021
what are major turning points in algebraic knowledge through out history
Answer:
There are a lot of turning point in the history of algebra one of those is the discovery of the plain and the quadrants by Rene Descartes. This discovery paved way to a lot of knowledge which was later on use in solving other complicated mathematical problems.
Step-by-step explanation:
Write an expression for 57 less than j
Answer:
Step-by-step explanation:
j-50
[PLEASE HELP! DUE IN 3 HOURS!]
In order to help her save money for college, Latasha's grandparents deposited $10,000 into a savings account five years ago. Latasha has not made any withdrawals or deposits since then. The interest rate on the savings account is 3.75% each year.
Using simple interest, how much interest has accrued in Latasha's savings account?
What is the total amount in Latasha's savings account?
Answer:
$11,875
Step-by-step explanation:
3.75×5 = 18.75%
[tex]\frac{18.75}{100}[/tex]×10000 = 18.75 × 100 = 1875 (we cut the zeros so that it will be easier to solve the equation)
10,000 + 1875 = $11,875 after 5 years
$1875 has accrued in Latasha's savings account
$11,875 is the total amount in Latasha's savings account after 5 years
pls help!
Rope A is 7/12 m long, and Rope B is 2/3 m long. What is the difference in their length?
Answer:
The difference would be 1/12.
Step-by-step explanation:
2/3 is 8/12.
Un jugador de baloncesto tiene una altura de 6 pies y 10 pulgadas. Cuál es su altura en centímetros?
208.28 cm
espero haberte ayudado(:
REALLY EASY!!
Answer: $ ____ per week
Write an equation of the line that passes through the given point and is parallel to the given line.
(4,7),y=5x-3
can you show how you solved it please
Step-by-step explanation:
y = 5x - 3 is in slope-intercept form.
The slope of this given line is 5,
=> Parallel line will also have slope 5.
We have y = 5x + c, where c is a constant.
When x = 4, y = 7.
=> (7) = 5(4) + c, c = -13.
Therefore the answer is y = 5x - 13.
Of the 4/7 of Lucy‘s friend to have jobs 3/4 work in fast food what part of Lucy friends work in fast food
Answer: 857/2000
Step-by-step explanation:
Just use 4/7 times 3/4 which is 12/7. 4285/10000, now simplify. that divided by five is 857/2000. i am not sure if this is correct, but this is what i got.
Answer:
3/7 is the answer
Step-by-step explanation:
multiply 4/7 x 3/4
The word OF in math means multiply
Multiply top numbers to get 12
Multiy denominators to get 28
12/28
Simplify by dividing each by GCF (Greatest Common Factor)...which is 4
12÷4=3
28÷4=7