Answer:
use the formula a(x-h)2+k
The line L is a tangent to the circle x2 + y2 = 45 at the point (-3, 6).
The line L crosses the x-axis at the point P.
Work out the coordinates of P.
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!
What inverse operation should be used to isolate the variable in the equation j ÷ 12 = 50?
Answer:
600
Step-by-step explanation:
50x12=600 you can check this by doing 600/12=50
Answer:
multiplication
Step-by-step explanation:
by multiplying the variable, j, by 12 it isolates the variable.
Math* please help!!!!
Answer:
I think its 19.1
Step-by-step explanation:
14 + 5.1
Maybe try
please help me with thisssss!!!!!!
Its either 2/5 or 4/5
Answer: The answer is 2/5 hope i helped! Mabye brainliest? ^^
Step-by-step explanation: if you can pick more than 1, pick 2/5 and 4/5
I need help with these ASAP their due tonight and I have no idea what I’m doing
Answer:
8)RS=18
9)XY=6
10)Angle T=50
11)UE=22
12)SU=38
15)BS=16
I am SOOOOO sorry that I didn't answer 13 and 14, I couldn't really figure them out. :(
Step-by-step explanation:
what is the value of X?
since all sides are equal, which means all angles must also be equal to one another
all angles =60°
solving 7x-3=60
7x=63
x=9
similarly 11 y+5=60
11y=55
y=5
Marco brought $25 to a facility that has indoor batting cages. He can buy 1 token for $1.25, which will give him 15 pitches. He needs to have at least $5 leftover to buy lunch. How many tokens, t, can Marco buy and still have enough money for lunch?
First what I did was take out the 5 dollars. So I did 25 minus 5.
25 - 5 = 20
Next, I divide the left over 20 dollars by 1.25 to see how many tokens Marco could buy.
20 / 1.25 = 16
Which i came up with 16. So Marco can buy 16 tokens and still have enough money to use to buy lunch.
HOPE THIS HELPS! :)
The crew is taking 3 bags of rice. Each bag of rice has a mass of 6 kilograms. How many
grams of rice are they taking?
Answer:
18,000 grams of rice
Step-by-step explanation:
First multiply 3 x 6 to find out how many kilograms total the crew is carrying. Then convert the 18 kilograms into grams by multiplying by 1000.
Hope it helps!
1 : 2 =
A. 1:2
B. 2:5
C. 50:100
Answer:
rtedgeshv dff egrfvgervf verhfvierfh ewrhgfgerfyerfyurehfe v uyerhbferg
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I already asked this but no one answer so I'm asking again what shape is this
Octagon!
I hope this answer helped! please rate 5 stars >:)
Answer:
That's an octagon since it has eight sides.
15+2w = 5w+5 solve for w
Answer:
10/3
Step-by-step explanation:
15+2w=5w+5
15=5w-2w+5
15=3w+5
3w=15-5
3w=10
w=10/3
Answer:
10/3=w
Step-by-step explanation:
15+2w = 5w+5
15=3w+5
10=3w
10/3=w
Can you answer number 6 please
Answer:
No, the triangles are not similar.
Step-by-step explanation:
For ΔNOP, since all triangles' angles equal 180°, to find the missing angle you subtract the given angles from 180
180-70=110, 110-58=52 ∠N = 52°
since ΔQRS does not have any angle measures of 58° or 52°, the triangles are not similar becasue similar triangles have congruent angles.
SOMEBODY PLEASE HELP ME!!!!
Answer:
So the perimeter of the larger rectangle = 160
Step-by-step explanation:
We are given the scale factor of the two rectangles. We are given the perimeter of the smaller rectangle = 120.
Since the two rectangles are scaled, this means they have a common ratio. In other words:
[tex] \frac{perimeter \: of \: larger \: rectangle}{perimeter \: of \: smaller \: rectangle} = \frac{4}{3} [/tex]
As given in the question.
Now we know the smaller rectangle has a perimeter of 120.
Let's take the perimeter of the larger rectangles as x.
[tex] \frac{x}{120} = \frac{4}{3} \\ \\ multiplying \: both \: sides \: by \: 120 \\ x = \frac{4}{3} (120) \\ x = 160[/tex]
So the perimeter of the larger rectangle = 160
Please help me out fast. And make sure to Write and solve an inequality. Or it isn't right.
Answer:75x+160
8 is the answer exactly 8
Step-by-step explanation:
Answer:
Set variable d for number of days: 75d + 160 < 760; 75d < 600; d < 8. The van has to be rented for less than 8 days for the family to spend less than $760.
what is the midpoint between (1,5) and (7,-3)
Answer:
(4,1)
Step-by-step explanation:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]
[tex]=(\frac{1+7}{2},\frac{5-3}{2})\\\\=(\frac{8}{2},\frac{2}{2})\\\\=(4,1)[/tex]
which of the following statements is false about the area of a circle
Answer:
Step-by-step explanation:
All are true except for the second. Only the second is false.
(pi)(d) is the circumference (not the area) of a circle.
The incorrect statement is [tex]A = \pi d[/tex].
The correct option is 2.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well. The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a form with a curved base and surface is equal to the sum of the two areas.
As per the given data:
We have to find out the incorrect statements out of the given options about the area of a circle.
[tex]A = \pi r^2[/tex]
This statement is correct, as the area of a circle is pi times square of the radius.
[tex]A = \pi d[/tex]
This statement is incorrect, as the area of a circle is given by:
[tex]A = \pi r^2 =\frac{ \pi d^2}{4}[/tex]
The area of a circle determines how much space is covered by the circle.
This statement is correct.
The area of a circle describes the number of square units that fit inside the circle.
This statement is correct.
Hence, the incorrect statement is [tex]A = \pi d[/tex].
To learn more about surface area, click:
brainly.com/question/29298005
#SPJ3
Which tasks are performed by individuals in the Science and Math pathway? Select all that apply.
research human behavior
design and test machinery
develop scientific theories
interpret designs and documents
perform calculations and make predictions
maintain lab equipment to perform experiments
Answer:
1, 3, 5, 6 I hope that's correct for you
Answer:
2
3
5
6
Step-by-step explanation:
hope this helps
A room is 15 feet long and 12 feet wide. What are the length and width of the room in yards?
Answer:
15ft = 5 yards
12ft = 4 yards
Marcelo jogs at a speed of 7 miles per hour when there are no hills. He plans to jog up a mountain road which will cause his speed to decrease by r miles per hour. Which of the following expressions represents the time, t, in hours it will take him to jog 13 miles up the mountain road?
a. t=13/7r
b. t=7+r/13
c.t=13-r/7
d. t=13/7+r
Answer:
2.3 hours rounded I suppose.
Step-by-step explanation:
You have jogged 5 miles from the park at a rate of r miles per hour. On your way back to the park your average speed increases by 1 mile per hour.
a. Write an expression for the time t (in hours) it takes to jog 5 miles
from the park as a function of your average speed r (in miles per hour) ___________
b. When you run back to the park, your average speed increases by 1 mph.
Write an expression representing your new speed. ___________
c. Write an expression for the time t(in hours) it takes to jog 5 miles
back to the park. ___________
d. Use your answers to parts a and c to write an expression that gives the total jogging time T (in hours) as a function of your average speed r (in miles per hour) when you are jogging away from the park. Write your answer as a single rational expression.
e. Find the total jogging time if you jogged away from the park at an average speed (r) of 4 miles per hour. Round your answer to the nearest tenth.
hours or 135 minutes
2.3 hours rounded I suppose.
PLEASE SOMEONE HELP NOWWWW.
a missile is fired at an angle of 85 Degrees from the horizontal. at one point, its speed was 1000 miles per hour. find its horizontal velocity in miles per minute
Answer:
Step-by-step explanation:
If the missile was going 900 mph and we are trying to find the horizontal velocity
This could be 3.88, and rounding it to the nearest hundredth would be 3.90 miles per minute
Answer:
1.45 miles per minute
Step-by-step explanation:
The question asked it to be presented in miles per minute so divide 1000 by 60 which will give us 50/3. We then multiply that with cos(85) which will give us the final answer of 1.45.
Can someone please help me with this
Answer:
1) any positive value other than 8
2) 8
3) impossible, both equation have the smme slope
Convert 14% to an
equivalent decimal.
HELP! I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The answer is A
Jabari deposited $300 in a savings account. Each month thereafter, he deposits $20 into the account. Write a formula to represent this sequence. Begin you formula with an=
Given z1 = 9+9 (square root) 3i and z2 = 2+ (square root) 3i, what is z2-z1?
a) 8+7 (square root) 3i
b) -7-8 (square root) 3i
c) 7+10 (square root) 3i
d) -7+10 (square root) 3i
Answer:
B
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
took the test edg2021
Explain the steps used to find the solution.
3(2y + 5) = -21
6y + 15 = -21
6y = -36
Y= -6
Answer:
3(2y + 5) = -21
open the bracket
6y + 15 = -21
collect like terms
6y = -21-15
6y = -36
divide by the coefficient of y
y = 36÷6
y= 6
Simplify 8(x - 4)
8x - 4
8x - 32
x - 32
x - 4
Answer:
8x-32
Step-by-step explanation:
multiply 8 with both terms
please mark this answer as brainlist
Factorise the following:
a) x + 3x - 4
b) x - 2x - 3
c) x + 2x - 8
What is : -4x + 3 = -11
Answer:
3.5
Step-by-step explanation:
-11-3, then that divided by -4.
Geometry help please and thank you
Answer:
125°
Step-by-step explanation:
By exterior angle theorem:
(3x - 70)° = 60° + x°
(3x - 70)° - x°= 60°
(3x - 70 - x)° = 60°
(2x - 70)° = 60°
2x - 70 = 60
2x = 60 + 70
2x = 130
x = 130/2
x = 65
(3x - 70)° = (3*65 - 70)° = (195 - 70)° = 125°
[tex] m\angle LKM = 125\degree [/tex]