Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1
Answer:
(x-2)²+(y-3)²=5².
Step-by-step explanation:
1. the equation of line through points (5;7) and (2;-2) is:
[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]
2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:
the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.
3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):
middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.
the required equation is x+3y-11=0
4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:
[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]
the point (2;3) is the centre of the required circle.
5. to calculate the radius² of the required circle:
r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².
6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:
(x-2)²+(y-3)²=5².
Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?
Answer:
1/3
Step-by-step explanation:
3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3
Help anybody? If so thanks
Find the surface area of the prism. 5cm 7cm 4cm
Which of the following names of geometric objects does The order of letters not matter
9514 1404 393
Answer:
B. line AB
Step-by-step explanation:
The terminal point must be named first when naming a ray.
The vertex must be named in the middle when naming an angle.
The order of points does not matter when naming a line.
h ft
5 ft
30 ft
6 ft
A. 20
B.25
C.23
D.30
Please help!!
Answer:
25ft
Step-by-step explanation:
You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:
30/6=5
Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:
5 x 5=25
I hope this helped you!
Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?
Answer:
18 OZ is better$1.75 to buy
Please help This Is A Speed, Time and Distance Worksheet!
Please SHOW your WORK!
Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change
Answer:
40%
hope this helped :)
Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.
10. Maddy has saved $55 from birthday money. She is earning $25 per week for babysitting her neighbors, which
she also saves. Which function can be used to nd a, the amount of money Maddy will have saved at the end of w
weeks of babysitting?
A. a =55w +25 B. a = 25w + 55 C. a = 55w + 80 D. a = 80w +55
Answer:
B
Step-by-step explanation:
because 25w is 25 dollars per week and you have to add the 55 dollars she earned which equals the total of money she will have.
sorry I'm not great at explaining lol
giving brainliest!! *easy*
Surface area is 1256.64
WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT
Answer:
16.8km
Step-by-step explanation:
Arc length = 2πr(θ/360)
=2π(8)(120/360)
=16.7551608191
≈16.8km
Answer:
16.8 km
Step-by-step explanation:
Arc length = 2πr (θ/360)
So plug in the values:
2π(8)(120/360) = 16π(1/3) = 16π/3
16.75516 ——————> 16.8 km
Which point is located in Quadrant I? A) (0, -5) B) (0, 0) C) (0, 5) D) (5, 1)
help please hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppp
Answer:
uhm please show a graph
Step-by-step explanation:
could you show the graph?
Find the tangent of angel U.
Answer:
C
trust me that is my answer
An angle measured 140 more than the measure of its supplementary angle. What is the measure of each angle ?
Answer:
Supplementary angle equals 180°
Complementary angle equals 360°
Step-by-step explanation:
Conjugate angles are more or less related to complementary and supplementary angles. The sum of the two angles put together equals 360 degrees. The last angle that will be named is straight. The measure of the angle equals 180 degrees.
List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows
Answer:
{1,2,4,8,16,32,64}
Step-by-step explanation:
1×64=64
2×32=64
4×16=64
Pls help ill give brainliest
nick is baking fudge. what is the minimum amount of plastic wrap needed to cover this piece of fudge?
Answer:
4 inches
Step-by-step explanation:
Answer:
where is the picture?
Step-by-step explanation:
What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624
Answer:
376
Step-by-step explanation:
312,336,336,368,384,416,488,624
the middle numbers are 368 and 384
the median is the middle of the middle numbers
to find this number we add up 368 and 384 and divide the answer by 2
368+384=752
752/2=376
Answer:
376
Step-by-step explanation:
1. To find the median you have to first arrange the numbers in numerical order.
2. Count how many numbers you have.
3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.
So considering you have 8 numbers if you divide 8 ÷ 2 = 4
the 4th number arranged is 368. Now to average 368 and 384. 368+384=752
752 ÷ 2 = 376
The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex
Answer:
its called a vertex
Step-by-step explanation:
The line segments that form a polygon are called the sides of a polygon.
A point where two sides meet is a vertex.( in plural form is vertices)
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 3% in interest and the other pays 6% in interest, how much does he have in each account if he earned a total of $960 in interest in 1 year?
He invested $__ in the 3% account and $__ in the 6% account.
Answer:
8000 and 12,000
Step-by-step explanation:
Let the amount of money deposited in the 3% account be known as "x"
The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)
3% Interest -> 0.03 *
6% Interest -> 0.06 *
0.03 * x + 0.06 * (20,000 - x) = 960
0.03x + 1200 - 0.06x = 960
-0.03x = -240
x = 8000
20,000 - x
20,000 - 8000 = 12000
I need help if right I will mark you
Answer:
B
Step-by-step explanation:
Can someone help me find the area
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²
Find the volume of the following figure using unit cubes.
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
what is the x-intercept?
Answer:
-2
Step-by-step explanation:
I'm not 100% sure but...
The x-intercept is when the y is 0.
And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.
Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?
PLS HELP PLS PLS
Answer:
The base of the banner is 30 centimeters.
Step-by-step explanation:
Area = base × height
Plug in the numbers:
127 1/2 = b × 4 1/4
Convert mixed fractions into improper fractions for easier calculations.
Improper fraction formula: (denominator × mixed number + numerator)/denoninator
(2 × 127 + 1)/2 = 255/2
(4 × 4 + 1)/4 = 17/4
Rewrite equation:
255/2 = b × 17/4
Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).
1020/34 = b
Simplify.
30 = b
Write two integers whose sum is 6 and difference is also 6.
Answer:
6,0
Step-by-step explanation:
Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?
Answer: 9.5 hours
In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours
Step-by-step explanation:
Ans: 720cm
2
The ratio of the number of Malay students to the number of Indian students to the
number of Chinese students in a school is 5:4:8.
There are a total of 468 Indian and Chinese students.
What is the total number of students?
Ans:
Answer:
663
Step-by-step explanation:
the total number of students can be determined using this equation :
(total ratio of Chinese and Indian students / total ratio of students) x n = 468
total ratio of Chinese and Indian students = 4 + 8 = 12
total ratio of students 4 + 8 + 5 = 17
N = TOTAL NUMBER OF STUDENTS
12/17) x n = 468
multiply both sides of the equation by 17/12
n = 663