Answer:
x² + (y - 2)² = 41
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
The distance from the centre to a point on the circle is the radius r
calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 2 )
r = [tex]\sqrt{(5-0)^2+(-2-2)^2}[/tex]
= [tex]\sqrt{5^2+(-4)^2}[/tex]
= [tex]\sqrt{25+16}[/tex]
= [tex]\sqrt{41}[/tex] , then r² = ([tex]\sqrt{41}[/tex] )² = 41
then
(x - 0)² + (y - 2)² = 41 , that is
x² + (y - 2)² = 41 ← equation of circle
find the equation of the line that passes through the point (3,5) and is parallel to the equation of the line y=2×-5
Answer:
y=2x-1
Step-by-step explanation:
Since it is parallel to y=2x-5, they have the same slope of 2.
Now you're going to plug the point and slope into the following equation: y-(y value of point) = slope ×(x-(x value of point))
y-5= 2 (x-3)
Now you simplify:
y-5=2x -6
y=2x-1
Greatest common factor of 42,60
How many minutes longer does it take Morowa to complete a job in three-quarters
of an hour than Osei who completes the job in five-twelfths of an hour!
What is 80% of 150? Please help
Find g(x), where g(x) is the translation 17 units right and 15 units down of f(x)=
–
3(x+8)2–6.
Answer:
Step-by-step explanation:
what is the problem for 3x + 2 =5 and what is the answer??
Answer:
x=1
Step-by-step explanation:
3x1+2=5
Answer:
I'm assuming you're trying to find x.
In this problem, x = 1
Step-by-step explanation:
3x + 2 = 5
-2 -2 Subtract 2 from each side
3x = 3
3x/3 = 3/3 Divide each side by 3
x = 1
someone help me please
Can someone help me solve this Function Notation.
Answer:
1
Step-by-step explanation:
What ever is in the parenthesis needs to be substituted into the equation
So,
3(-2) + 7 =
-6 + 7
1
f(-2) = 1
Answer:
f(-2) = 1
Step-by-step explanation:
1. Replace x with -2
f(-2) = 3(-2) + 7
2. Multiply 3 by -2
f(-2) = -6 +7
3. Add -6 and 7
-6 + 7 = 1
f(-2) = 1
Help plssss geometry!!
Answer:
x=4
Step-by-step explanation:
both angles add up to 90* because it is a right angle
10x + 12x + 2 = 90
22x + 2 = 90
subtract 2 from both sides of the equation
22x = 88
divide both sides by 22
x = 4
Square B is a dilation of square A. What is the scale factor?
Answer:
54:45
6:5
this is the scale factor
A large box of biscuit mix costs $6.48. The box contains 72 servings of biscuit mix. One serving is equal to ¼ cup of biscuit mix. This table shows the amount of mix and water needed to make different numbers of biscuits.
Part A
What is the total number of cups of biscuit mix in one box? Show your work or explain your answer.
Part B
What is the total number of biscuits that can be made using one box of the biscuit mix? Show your work or explain your answer.
Part C
What is the cost, in dollars and/or cents, per biscuit? Show your work or explain your answer.
A large box of biscuit mix costs $6.48. The box contains 72 servings of biscuit mix. One serving is equal to ¼ cup of biscuit mix. This table shows the amount of mix and water needed to make different numbers of biscuits.
Answer:
Part A: 18 cups
Part B: 56 biscuits
Part C: $0.16
Step-by-step explanation:
Part A
72 * 1/4 = 18
Part B
18 total cups/ 2 cups/biscuit = 9 cups able to be used (dk how else to explain it)
6 * 9 = 56 biscuits
Part C
$6.48/56 = $0.16
PARALLELOGRAM QUESTION, LOTS OF POINTS! (i will report if you dont answer correctly)
Answer:
65°
step-by-step explanation:
opposite angles of a parallelogram are of equal measure.solve for x:
116x - 1 = 114x + 1
116x - 114x = 1 + 1
2x = 2
x = 1
Find angle C:
The base angles in parallelogram sum up to 180°m∠C + 116(1) - 1 = 180°
m∠C = 180° - 115
m∠C = 65°
Solution:
We know that:
Opposite angles in a parallelogram are equal.Sum of the angles in a quadrilateral always sum up to 360°This means that:
[tex]116x - 1 = 114x + 1[/tex][tex]\angle C = \angle E[/tex][tex](116x - 1) + (114x + 1) + \angle C + \angle E = 360\°[/tex]Step-1: Find the value of x.
[tex]116x - 1 = 114x + 1[/tex]
[tex]\rightarrow 116x - 114x = 1 + 1[/tex]
[tex]\rightarrow 2x = 2[/tex]
[tex]\rightarrow \bold{x = 1}[/tex]
Step-2: Solve for ∠C.
[tex](116x - 1) + (114x + 1) + \angle C + \angle C = 360\°[/tex]
[tex]\rightarrow (116x - 1) + (114x + 1) + \angle C + \angle E = 360\°[/tex] [∠C = ∠E]
[tex]\rightarrow 116x - 1 + 114x + 1 + 2\angle C = 360\°[/tex]
[tex]\rightarrow 230x + 2\angle C = 360\°[/tex]
[tex]\rightarrow 230(1) + 2\angle C = 360\°[/tex] [x = 1]
[tex]\rightarrow 230 + 2\angle C = 360\°[/tex]
[tex]\rightarrow 2\angle C = 360 - 230[/tex]
[tex]\rightarrow 2\angle C = 130[/tex]
[tex]\rightarrow \boxed{\bold{\angle C = \frac{130}{2} = 65\°}}[/tex]
1)) Solve for t. t 1.28 > 5.5
[tex]1.28 \geqslant \frac{t}{5.5} [/tex]
Answer:
x = 1.28t^2 > 5.5
Answer:
[tex]t\le \:7.04[/tex]
Step-by-step explanation:
[tex]1.28\ge \cfrac{t}{5.5}\:(\bold{Switch \: sides})[/tex]
[tex]\cfrac{t}{5.5}\le \:1.28[/tex]
[tex]\cfrac{5.5t}{5.5}\le \:1.28\cdot \:5.5\:(\bold{ Multiply\: both\:sides\:by\: 5.5})[/tex]
[tex]t\le \:7.04[/tex]
~
A state representative took several random surveys of adults to find which palce they visited most frequently. The average of all of the surveys is shown in this table.
Answer:
On average, 2 out of 10 adults visited the museum most frequently
Step-by-step explanation:
Please help me I keep getting the last row wrong.
Answer:
B = 48°
b = 29.7
c = 39.1
Step-by-step explanation:
You have made a Mistake which is C = 102° Not 120°
So, Lets begin with the Problem
Since the Sum of Interior Angles of the Triangle = 180 °
Then A+B+C=180
Then 30+B+102=180
Then B+132=180
Subtract 132 from Both sides
B = 180 - 132 = 48°
Applying Law of Sines
[tex]\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}[/tex]
by substituting
[tex]\frac{20}{sin30} =\frac{b}{sin48}=\frac{c}{sin102}[/tex]
Then [tex]b=\frac{20sin48}{sin30} =29.7[/tex]
Then [tex]c=\frac{20sin102}{sin30} =39.1[/tex]
Need Help please serious answers. I appreciate it !!
A) x=6
B) 50
Step-by-step explanation:
[tex]8x + 2 + 70 + 60 = 180[/tex]
[tex]8x = 180 - 132[/tex]
[tex]8x = 48[/tex]
[tex]x = 6[/tex]
~
[tex] \angle \: b = 8x + 2[/tex]
[tex]8(6) + 2[/tex]
[tex]50[/tex]
[tex] \angle \: b = 50[/tex]
~
3 A scientist takes four random samples of a population of 700 trees. Each sample is
the same size. The first sample indicates that 30% of the trees are oak, while the
second sample indicates that only 15% of the trees are oak. The third sample
indicates that 26% of the trees are oak. The fourth sample indicates that 29% of
the trees are oak. Based on the data, about how many of the 700 trees are oak?
Using proportions, it is found that about 175 trees are oak.
What is a proportion?A proportion is a fraction of a total amount.
For the four samples, the proportions are: {0.3, 0.15, 0.26, 0.29}.
Hence, the mean proportion is given by:
M = (0.3 + 0.15 + 0.26 + 0.29)/4 = 0.25
Out of 700 trees:
700 x 0.25 = 175.
About 175 trees are oak.
More can be learned about proportions at https://brainly.com/question/24372153
I need help with numbers 18-20 The instructions are to factor the greatest common factor out of every term of polynomial. Pls help me I have not been able to figure these problems out
Answer:
Solving steps:
18) 16a²b - 8abc + 4ab²c²
=> 4ab(4a - 2c + bc²)
19) 3x³ + 3x² - 3x
=> 3x(x² + x - 1)
20) 2abx² + 3abx³ - 4abx[tex] {}^{4} [/tex]
=> abx²(2 + 3x - 4x²)
In an extensive government study conducted this year a simple random sample of 500 households was obtained and 80 had experienced property damage due to a crime. Calculate and interpret a 95% confidence interval for the true proportion of households that have experienced property damage due to crime
Using the z-distribution, the 95% confidence interval is (0.1279, 0.1921), and it means that we are 95% sure that the proportion for the entire population is between these two values.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem:
A sample of 500 households was obtained and 80 had experienced property damage due to a crime, hence [tex]n = 500, \pi = \frac{80}{500} = 0.16[/tex].95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].Hence:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.16 - 1.96\sqrt{\frac{0.16(0.84)}{500}} = 0.1279[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.16 + 1.96\sqrt{\frac{0.16(0.84)}{500}} = 0.1921[/tex]
The 95% confidence interval for the true proportion of households that have experienced property damage due to crime is (0.1279, 0.1921), and it means that we are 95% sure that the proportion for the entire population is between these two values.
More can be learned about the z-distribution at https://brainly.com/question/25890103
A cone has a volume of 314 cubic meters and a height of 12 meters. What is its radius?
Answer:
About 5 meters
Step-by-step explanation:
v= πr² h/3
r= √3 v/πh= 3•314/ π•12= 4.99873 rounded which then rounds to 5
125 g of yoghurt provides 4.5 g of protein. How many grams of protein does 100 g of yoghurt provide
Answer:
3.6g
Step-by-step explanation:
the protein thats in 125g of yoghurt is 4.5g
the protein thats in 1g of yoghurt is 4.5/125
the protein thats in 100g of yoghurt is
4.5/125 x 100
0.036 x 100
3.6g
help meeeee I'm going to fail
Answer:
A, C, and D, are correct
Step-by-step explanation:
We can find the answer to each of these by simply doing the math for each one
[tex]3*\sqrt{2} = 4.24\\\frac{1}{2} *\sqrt{68} = 4.123\\\sqrt{17} = 4.123[/tex]
Answer:
A, C, and D
Step-by-step explanation:
A is 4.24
B is 3.54
C is 4.12
D is 4.12
E is 5.29
Help me solve this please
Answer:
x=-3 im pretty sure
Step-by-step explanation:
so if y=4 and 4 is something plus 7, 7+-3=4 so im abut 98% its -3
please help me thank you
Answer:
grafic 2
Step-by-step explanation:
what’s the answer??
Answer:
KL = 3.4
Step-by-step explanation:
[tex]\frac{LI}{HE} =\frac{KL}{HG}[/tex]
[tex]\frac{5}{16} =\frac{KL}{11}[/tex]
[tex]KL=11(\frac{5}{16} )=55/16=3.4375[/tex]
Hope this helps
work out the size of angle x =304-115
The computation of the angle given simply shows that the value of angle x is 109°.
How to calculate the angle?From the information given, it can be noted that two numbers are given and there's a subtraction sign between the numbers given.
Therefore, in this scenario, one simply just has to subtract the numbers. Therefore, thus goes thus:
x = 304 - 115
x = 189
The value of x is 189°.
Learn more about angles on:
https://brainly.com/question/25770607
what is [7a-21a+10b]*[2a+5b]
Answer:
-28a2 - 50ab + 50b2
Step-by-step explanation:
[7a-21a+10b]*[2a+5b]
[-14 + 10b]*[2a+5b]
Hope it helps!!!!!!!!!brainliest pls!!!!!!!!!Rectangle ABCD is rotated by 90 degrees
clockwise about the origin and then translated
2 units left and 3 units down to form A'B'C'D'.
What is the length, in units, of line segment A'B'
if AB was 4 units?
Rotation involves moving the rectangle ABCD around a fixed point
The length of side A'B' is 4 units, if AB was 4 units
How to determine the length of A'B'From the question, we have the following transformations
RotationTranslationBoth transformations are rigid transformations, and they do not change the length of the shape
Hence, the length of side A'B' is 4 units, if AB was 4 units
Read more about transformation at:
https://brainly.com/question/4289712
7 added to the product of 14 and f
Consider the trinomial 6x2 13x 6. The value of ac is. The value of b is. The two numbers that have a product of ac and a sum of b are 4 and.
The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Consider the trinomial 6x² + 13x + 6.
Compare with the standard equation, we have
ax² + bx + c
Then we have
a = 6
b = 13
c = 6
The product of ac will be
ac = 6 × 6 = 36
The sum of ac and b will be
ac + b = 36 + 13 = 49
The two numbers that have a product of ac and a sum of b are 4 and 9.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Answer:
36,13,9
Step-by-step explanation:
Just took the test 2022