Answer:
The point (6,1) lies inside the circle.
Step-by-step explanation:
Equation of a Circle
A circle centered at the point (h,k) and with radius r, can be expressed with the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The center of the given circle is (0,0) and the radius is [tex]r=\sqrt{38}[/tex], thus the equation of the circle is:
[tex](x-0)^2+(y-0)^2=(\sqrt{38})^2[/tex]
Simplifying:
[tex]x^2+y^2=38[/tex]
Each point (x,y) meeting the condition of the equation lies exactly on its circumference. For example, the point [tex](\sqrt{2},6)[/tex] belongs to the circumference, but the origin (0,0) is inside the circle, and the point (5,5) is outside the circle.
We can tell the difference by evaluating the equation at each point. For the first point [tex](\sqrt{2},6)[/tex], the equation is:
[tex](\sqrt{2})^2+6^2=2+36=38[/tex]
The equation is satisfied.
For the origin (0,0):
[tex]0^2+0^2=0[/tex]
For the point (5,5):
[tex]5^2+5^2=50[/tex]
We can conclude that if the left side is greater than 38, the point is outside the circle, if it's less than 38, the point is inside the circle.
Let's test the point (6,1):
[tex]6^2+1^2=37[/tex]
The point (6,1) lies inside the circle.
alguien que me ayude por favor
i can't see the paper
The sum of two numbers is 57 and their difference is 23. What is the larger of the two numbers?
Answer:
x=17
Step-by-step explanation:
57-x-x=23
57-2x=23
2x=23-57
2x=34
divide both sides wth 2x to make the eqaution equal
x=17
What is the equation of a line PARALLEL to y = 1/3x – 4 that passes through (9, 8)?
Answer:
[tex]y=\frac{1}{3} x+5[/tex]
Step-by-step explanation:
We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:
[tex]y=mx+b[/tex]
Plugging in the values we know:
[tex]8=\frac{1}{3} (9)+b[/tex]
We solve for [tex]b[/tex] and get:
[tex]b=5[/tex].
So, the equation of our new line must be:
[tex]y=\frac{1}{3} x+5[/tex]
There are 216 identical plastic chips numbered 1 through 216 in a box. What is the probability of reaching into the box and randomly drawing the chip numbered 170? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answer:
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
Step-by-step explanation:
Probability is the likelihood or chance of an event occurring. Probability can be determined using the formula below
Probability = Number of favorable outcome / Total number of possible outcomes.
From the question, we are to determine the probability of reaching into the box and randomly drawing the chip numbered 170.
Here, the number of favorable outcome is 1 (which is the chip numbered 170)
Total number of possible outcomes is 216 ( all the 216 identical plastic chips)
Therefore,
Probability = 1/216 or 0.0046
This is the probability of randomly drawing the chip numbered 170.
The probability of randomly drawing the chip numbered 170 is 1/216 or 0.0046
What is the rate of change?
What is the Y- intercept?
Answer:
The y-intercept is -5 and I’m not sure about the rate of change
Step-by-step explanation:
what is the sum of -3.561 + 258.6
Answer:
255.039
Step-by-step explanation:
What is f(–2)?
help me...
Step-by-step explanation:
For examppe
f(x) = 3x + 1
f(-2) = 3(-2) + 1
= -6 + 1
= -5
NEED HELP ASAP WILL GIVE BRAINLIEST AND 15 POINTS
1/3x + 3 - 5/6x = -15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Combine~\frac{1}{3}m~and~-\frac{5}{6}m:[/tex]
[tex]\bold{\frac{1}{3}m+-\frac{5}{6}m=-\frac{1}{2}m }[/tex][tex]\bold{You~could~also~solve~this~by~turning~the~fractions~into~decimals.}[/tex][tex]2.)~Subtract~3~from~both~sides:[/tex]
[tex]\bold{3-3=Cancels~Out}[/tex][tex]\bold{-15-3=-18}[/tex][tex]\bold{We~do~the~opposite~of~what~we~see:+3,~meaning~we~subtract.}[/tex][tex]3.)~Multiply~both~sides~by -2:[/tex]
[tex]\bold{-\frac{1}{2}m}[/tex] × [tex]\bold{-2=Cancels~Out}[/tex][tex]\bold{-18}[/tex] × [tex]\bold{-2=36}[/tex][tex]\bold{The-2~is~from-\frac{1}{2}m.~Since~it's~dividing~we~do~the~opposite~and~multiply~by~-2.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{m=38}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
3 708 000 000 in scientific notation
3,708,000,000 in scientific notation is [tex]3.708[/tex] × [tex]10^9[/tex]
HelpppppppPPPPPPPPPPPPPPPP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
If you solve this inequality you should get...
[tex]4<3+4x\\1<4x\\\frac{1}{4} <x[/tex]
So I don't know if you can but the answer is all three because 9, 7, and 1 are all greater than [tex]\frac{1}{4}[/tex].
PLEASE ANSWER EASY 5 POINTS
Answer:
15(B)
Step-by-step explanation:
all of those angles add up to 180 on a line
9 times 15 is 135
3 times 15 is 45
135+45 is 180
Maggie baked 96 cookies in 4 batches. What is the number of cookies per batch?
There are 4 white and 8 red roses in a bouquet. Find the ratios.
1b). The ratio of the numbers of red roses to the number of all roses
Answer:
1a) 1:2
1b) 2:3
Step-by-step explanation:
1a) 4:8 = 1:2
1b) 4 white and 8 red means 12 total so ratio for red would be 2:3
Answer:
1 ÷ 22 ÷ 3Step-by-step explanation:
Given4 white and 8 red rosesTo findRatios of rosesSolutionRatio of white roses to red roses
4 ÷ 8 = 1 ÷ 2Ratio of red to all
Sum of roses
4 + 8 = 12Ratio
8 ÷ 12 =2 ÷ 3MODELING WITH MATHEMATICS
You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown.
a. Write a polynomial that represents the combined area of the photo and the frame.
b. Find the combined area of the photo and the frame when the width of the frame is 4 inches.
Use single digits times a power of 10 to estimate the number 0.00005423
Answer: 5.423 × 10^-5
Carmen creates the ratio table below based on one 8-ounce serving of juice
How many total calories will 4 servings of juice contain?
A) 420
B) 520
C) 650
D) 780
Answer:
B
Step-by-step explanation:
The pattern is adding 130, or multiply the servings by 130.
so if 3x=390, you would divide both sides by 3 and get 130.
This means that x=130
Now plug in 4x=?
You would get 4*130=?
if you do the math through multiplication you would get 520
Answer:
B
Step-by-step explanation:
I got the unit test right on edg 2020
Can someone PLEASE help me out??!!!!!!!
Answer:
[tex]\huge\boxed{66.42 \textdegree}[/tex]
Step-by-step explanation:
In order to solve for this missing angle, we can use trigonometry.
With angle B, we only have two sides: the adjacent of the angle and the hypotenuse of the angle. The adjacent side is the one laying directly next to the angle that isn't the hypotenuse.
Using SOH CAH TOA, we can see that the correct trig function for this would be cos because of CAH (Cosine = Adjacent over Hypotenuse)
Since we know the length of the sides but we don't know the angle, we are going to use inverse trig.
The adjacent side over our hypotenuse will be [tex]\frac{2}{5}[/tex] since 2 is the length of the adjacent and 5 is the length of the hypotenuse.
We know have the equation [tex]cos^{-1}(B) = \frac{2}{5}[/tex].
We now find what [tex]\frac{2}{5}[/tex] is (0.4) and find the inverse cosine of it. We can do this by plugging it into a calculator.
When we do this, we get the number [tex]66.42182152[/tex] etc. Rounding to the nearest hundredth gets us 66.42.
Hope this helped!
answer please ^^ ty i will give brainliest for correct answer(s). :))
not math but a lot of people see math more than science XD
Answer:
1: is low accuracy and high precisian. 2: is low accuracy and low precisian. 3: is high accuracy and high precisian.
Step-by-step explanation:
A carpenter can build 8 cabinets in 3 hours. At this rate, how long will it take for the carpenter to build 26 cabinets?
a. 8 hours
c. 21 hours
b. 9 hours 45 minutes
d. 69 hours 20 minutes
Answer: 21 hours
Step-by-step explanation:
i’m not sure how to solve it i just guessed and got it right
Answer:
21
Step-by-step explanation:
Simplify the expression by
distributing, then combining like
terms!
6(2y +5) - 12
A bakery sold 57 vanilla cupcakes in a day, which was 95% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answer:
60
Step-by-step explanation:
the total cupcakes are:
(57/95) . 100 = 60
Determine the length of AS.
A. 12
B. 18
C. 3
D. 6
Answer:
C. 3
Step-by-step explanation:
2x+6
Divide 2 on both sides
x=3
1/2 divided by (-3) sorry I just don’t get any of this
Answer:
-1/6
Step-by-step explanation:
Learning Task 2.
A. Translate the following verbal sentences to mathematical sentence. Then ex-
press into quadratic equations in terms of "x".
Given
Quadratic Equations
1. The length of a wooden frame is 1 foot
longer than its width and its area is equal
to 12 ft2
2. The length of the floor is 8 m longer than
its width and there is 20 square meters.
3. The length of a plywood is 0.9 m more
than its width and its area is 0.36 m2.
4. The area of rectangle whose length is six
less than twice its width is thirty-six,
5. The width of a rectangular plot is 5 m
less than its length and its area is 84 m2.☹️
Answer:
1)[tex]x^2+x-12=0[/tex]
2)[tex]x^2+8x-20=0[/tex]
3)[tex]x^2+0.9x-0.36=0[/tex]
4)[tex]2x^2-6x-36=0[/tex]
5)[tex]x^2-5x-84=0[/tex]
Step-by-step explanation:
1) The length of a wooden frame is 1 foot longer than its width and its area is equal to 12 sq. ft.
Let the width be x
We are given that length of a wooden frame is 1 foot longer than its width
So, Length = x+1
Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]
ATQ
x(x+1)=12
[tex]x^2+x-12=0[/tex]
2)The length of the floor is 8 m longer than its width and there is 20 square meters.
Let the width be x
We are given that length of the floor is 8 m longer than its width
So, Length = x+8
Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]
ATQ
x(x+8)=20
[tex]x^2+8x-20=0[/tex]
3)The length of a plywood is 0.9 m more than its width and its area is 0.36 m2.
Let the width be x
We are given that length of a plywood is 0.9 m more than its width
So, Length = x+0.9
Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]
ATQ
x(x+0.9)=0.36
[tex]x^2+0.9x-0.36=0[/tex]
4)The area of rectangle whose length is six less than twice its width is thirty-six
Let the width be x
We are given that length is six less than twice its width
So, Length = 2x-6
Area of rectangle = Length \times Breadth = x(2x-6)
ATQ
x(2x-6)=36
[tex]2x^2-6x-36=0[/tex]
5)The width of a rectangular plot is 5 m less than its length and its area is 84 m2.
Let the length be x
Width = x-5
Area =[tex]Length \times Breadth = x(x-5)[/tex]
ATQ
x(x-5)=84
[tex]x^2-5x-84=0[/tex]
answer to this???????
Answer:
At a bus stop, 8 people got off the bus and 10 people go on. This means that the number of passengers increased by 2.
Step-by-step explanation:
The first one would e -8-10=-18
Second one would just be wrong. Each goldfish would be 5/4 of a dollar, so it cannot be possibly represented by the equation.
It would just be 8x=10
The last one is correct because it accurately depicts 8 people getting off(-8) and 10 people getting on(+10) which means that the passengers increased by two. This corresponds to the given equation.
Based on the diagram below, find the value of v, u and w: *(round to one decimal place)
Answer:
u=27 v=9.5 w=28.5
Step-by-step explanation:
Mia is playing sseveral rounds of a word game. In each coordinate pair,x shows the number of the round and y shows mia's score for that round. Round 1: (1,3) round 2: (2,6) and round 3: (3,3). In round 4, Mia scores the same number of points as in round 2 and 3 combined. What is the coordinate pair that represents mia's score for round 4
Answer:
(4,9)
Step-by-step explanation:
Given
Round 1: (1,3)
Round 2: (2,6)
Round 3: (3,3)
Required
Determine the coordinate of Round 4
Since, Mia score is round 2 and 3 combined;
We have:
Round 4 = 6 + 3
Round 4 = 9
Hence:
The coordinates is (x,y)
Where
x = Round number
y = Score
So, we have: (4,9)
Round 4:
(4, 9)
x = round so 4
y = score of round 2 and 3 combined so 9 (6 + 3)
The line containing the points (30, 40) and (40, 60) has a y-intercept of?
Help help
Answer:
-20
Step-by-step explanation:
the slope is 2
2*30 = 60
40 - 60 = -20
G f = h Solve the equation for f
Answer:
f = h/G
Step-by-step explanation:
Step 1: Write equation
Gf = h
Step 2: Divide both sides by G
f = h/G
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
a. (−2, −8)
b. (−8, −2)
c. (6, −10)
d. (−10, 6)
Answer:
B: (-8,-2)
you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable
good Luck!!!
