(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?
Answers
Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
Answer:
C on Edge or (1,-9)
Step-by-step explanation:
Related Questions
Quadrilateral RSTU is a parallelogram. What must be the value of x?
2
4
5
10
Answers
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
how do I simplify when there are fractions on fractions
Answers
Answer: y/y+x
Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x
which one is the right graph
Answers
Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.
What is 9x + 100 = 829
Answers
Answer:
81
Step-by-step explanation:
9x + 100 = 829
9x =829-100
= 729
x = 729/9
x = 81
Answer: x = 81
Step-by-step explanation:
You'd want to isolate x, meaning subtracting 100 on both sides to remove that from the equation. This results in 9x = 729, divide by 9 on both sides to remove that too from the equation and you'd be left with x = 81.
show that's ABE = EBC
Answers
Answer:
abe = ebc
Step-by-step explanation:
bcos both the seperate angels have the same degree
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answers
Answer:
85 i guess
Step-by-step explanation:
The mean of the distribution is 70 and the standard deviation of the distribution is 4.
The shaded area in the distribution below represents approximately 95% of the data. This means that the shaded area is equal to 1.96 standard deviations from the mean.
The 68-95-99.7 rule states that 95% of the data in a normal distribution falls within 2 standard deviations of the mean. So, the shaded area in the distribution below represents the area between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
The mean of the distribution is the center of the shaded area. The standard deviation of the distribution is the distance from the mean to the edge of the shaded area.
In this case, the mean of the distribution is approximately 70. The standard deviation of the distribution is approximately 4.
Here is a step-by-step explanation of how to find the mean and the standard deviation:
Identify the shaded area in the distribution.
Remember that the shaded area represents 95% of the data.
Use the 68-95-99.7 rule to determine that the shaded area is between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
Find the mean by averaging the two points on the distribution that are 1.96 standard deviations from the mean.
Find the standard deviation by subtracting the mean from one of the points on the distribution that is 1.96 standard deviations from the mean.
Therefore, the mean of the distribution is approximately 70 and the standard deviation of the distribution is approximately 4.
To learn more about standard deviation here:
https://brainly.com/question/13498201
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Sin(2x+30°)=1
Tìm x
Cảm ơn vì giúp đỡ
Answers
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Escribe una situacion quese represeten con los 60 -4 0 -10 cual es el resultado
Answers
Answer:
Sorry I didn't knowQUICK PLZ!!!!! Which graph shows the result of dilating this figure by a factor of One-third about the origin? On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18). On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answers
Answer:
[tex]A' = (-2,2)[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (2,-2)[/tex]
Step-by-step explanation:
Given
[tex]A = (-6,6)[/tex]
[tex]B = (6,6)[/tex]
[tex]C = (6,-6)[/tex]
[tex]k = \frac{1}{3}[/tex]
Required
The new coordinates
To do this, we simply multiply the coordinates of [tex]\triangle ABC[/tex] by the factor of dilation.
i.e.:
[tex]A' = A * k[/tex]
[tex]B' = B * k[/tex]
[tex]C' = C * k[/tex]
So, we have:
[tex]A' = (-6,6) * \frac{1}{3}[/tex]
[tex]A' = (-2,2)[/tex]
[tex]B' = (6,6) * \frac{1}{3}[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (6,-6) * \frac{1}{3}[/tex]
[tex]C' = (2,-2)[/tex]
The graph below shows the amount of money a store earns for selling T-shirts.
у
T-shirt Sales
100
80
60
Money Earned
(dollars)
40
20
0
4
24
8 12 16 20
Number of T-shirts Sold
What is the unit rate of the graph?
Answers
Answer:
Whattt pls draw the graph.. And it will show the us the rate
A square has a perimeter of 80 m. What is the length of each side?
Answers
Answer:
20 m
[tex]p = 4a \: thus \: a = p \div 4 = 80 \div 4 = 20 \: m[/tex]
Answer:
20
Step-by-step explanation:
P=4L
80=4L
L=80/4
L=20m
(a) Write
[tex] {2}^{5} \div {2}^{5} [/tex]
as a single power if 2.
Answers
Answer:
2^0
Step-by-step explanation:
When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.
There are two ways to go about this problem.
The first way, the generic way, is to know that,
[tex]\frac{a^n}{a^m}=a^{n-m},a\neq0[/tex].
So,
[tex]\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}[/tex].
The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,
[tex]\frac{a}{a}=1, a\neq0[/tex]
And 1 equals to any number raised to the power of zero,
[tex]a^0=1,a\neq0[/tex]
So we just have to say that the 1 we got is rewritten as some base to the power of zero.
Since our base needs to be 2, we just simply say,
[tex]2^0[/tex].
Et Viola.
Hope this helps.
HELP ASAP
Solve the system of equations twice using elimination. First, eliminate the x in your solution steps and solve. Then, eliminate the y in your solution steps and solve. Do you get the same answer? Why or why not?
2x + 3y = 21
3x − 4y = 23
Answers
The side lengths of a 30-60-90 triangle are in the ratio 1: V3 : 2. What is
sin 30°?
Answers
Answer:
A
Step-by-step explanation:
side opposite to smallest angle is smallest=1
Hypotenuse=2
sin 30=1/2
Need help here please and thank u
Answers
Answer:
I think C sorry if wrong
Step-by-step explanation:
Thank you so much thank y’all for your help
Answers
Answer:
2(4) + 2(l) >14 (second option is the answer).
Hope this is correct!
The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?
Answers
Answer:
21cm2
Step-by-step explanation:
Area (A = BH)
B = 7cm
H = 3cm
Therefore we multiply Base(B) with height (H) to get the area.
Hence;
Area = (7 × 3) cm2
= 21cm2
if a number is added to 3, the result is 10 find the number
Answers
Answer:
7
Step-by-step explanation:
10 minus 3 will give you the number
Answer:
7
Step-by-step explanation:
let the number added to 3 be 'x'
we know;
X+3=10
X=10-3
X=7
About how many cells are in the human body?
You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.
Answers
Answer:
In other words: The human body consists of some 37.2 trillion cells.
Step-by-step explanation:
can somebody explain how they got 37.2 trillion cells.!!!
please helpppp
A customer's stock value seems to be rising exponentially. The equation for the linearized regression line that models this situation is log(y) = 0 30x +0 296, where x represents number of weeks. Which of the following is the best approximation of the number of weeks that will pass before the value of the stock reaches $200?
A. 9.3
B. 12.1
C. 6.7
D. 4.8
Answers
Given:
The equation for the linearized regression line is:
[tex]\log y=0.30x+0.296[/tex]
where x represents number of weeks and y be the customer's stock.
To find:
The number of weeks that will pass before the value of the stock reaches $200.
Solution:
We have,
[tex]\log y=0.30x+0.296[/tex]
Substituting y=200, we get
[tex]\log (200)=0.30x+0.296[/tex]
[tex]2.301=0.30x+0.296[/tex]
[tex]2.301-0.296=0.30x[/tex]
[tex]2.005=0.30x[/tex]
Divide both sides by 0.30.
[tex]\dfrac{2.005}{0.30}=x[/tex]
[tex]6.6833333=x[/tex]
[tex]x\approx 6.7[/tex]
Therefore, the correct option is C.
PLS HURRY!! PLS
solve:-10k2+7
Answers
Answer:
Degree: 2
Polynomial type: Quadratic
Step-by-step explanation:
One is asked to identify the degree and type of polynomial when given the following expression:
[tex]-10k^2+7[/tex]
The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.
How much is the bill for a person who uses 560 kwh in a month?
Answers
Answer:
An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used, x 200 The function b(ar) = { 0.102, 0.15(x - 200) +20, 200 determines the bill How much is the bill for a person who uses 800 kWh in a month?
For there is always light, if only we’re brave enough to see it.
If only we’re brave enough to be it.
Answers
Answer:
sun is the answer to absolutely
Factorize:
6 + 13mn + 7m² n²
explanation
Answers
Answer:
1(6+13mn+7m^2n^2)
Step-by-step explanation:
The coefficients and variables in this equation have a common factor of 1, therefore the equation will go back to it's original state if you use 1 as the common factor.
I hope this helps and sorry if am wrong
what does
4(x+2)=2x+10
equal?
Answers
Answer:
x=9
Step-by-step explanation:
4(x-2)=2x+10
<=> 4x-8=2x+10
<=> 2x=18
<=>x=9
Answer:
x=3 the explanation is above
16. Select the equation that has only one solution.
A. 8 x + 3 = 3 X + 8
B. 12 x = 12 x + 7
C.4 x + 11 = 11 + 4 x
D. 6 x + 20 = 6 x
Answers
Answer:
A is the answer...........
Explanation
8x+3=3x+8
8x-3x=8-3
5x=5
x=5/5
x=1
I need help please Brainly fam
Answers
Answer:
The third one
Step-by-step explanation:
Just took the quiz
What is the total surface area (including the area of the floor) of a building shaped as a hemisphere with radius 106 ft ?
Round your answer to the nearest whole number.
Answers
Answer:
105897 ft²
Step-by-step explanation:
let, r be the radius, so r = 106 ft
Surface area of a hemisphere,
2πr²+πr²
= 2π×106²+π×106²
= 105897 (rounded to the nearest whole number)
Dorothy put $470 into a savings account for one year. The rate of interest on the account was 5.5%. Find the interest earned on the amount.
Answers
Answer: $25.85 assuming annual compounding.
Step-by-step explanation:
PV=470
I/Y=5.5
N=1
CPT_FV
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none
Answers
Answer:
None
Step-by-step explanation:
No lines can be folded over to match up with the opposite side
