Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:
[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Given
[tex](x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)[/tex]
Putting the values in the formula
[tex]r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}[/tex]
Putting the values of h,k and r in general form of equation
[tex]\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8[/tex]
Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
find the domain and range for the function graphed below
Answer:
Domain: 3, 2, 1, 0, -1 , -2 , -3
Range: 5 , 4 , 3 , 2 , 1 , 0 , -1 , -2
Step-by-step explanation:
The domain values are all of the x-values, and the range value are all of the y-values. Domain ad range can also be know as input and output.
Ronnie made 5 pies for New Year's Day. Some of his family members are allergic to gluten, so he bought gluten-free flour for all of the pies. For each piecrust, he used 2 cups of flour. Health Mart sold bags with 4 cups of gluten-free flour for $12. How much did Ronnie spend on the gluten-free flour so that he had enough for the crusts?
Answer:
He spent $24 dollars
Step-by-step explanation:
Each of the piecrusts had 2 cup of flour he has 5 pies so all pies altogether equally 10 cups so he buys 2 bags for $24 dollars
Step-by-step explanation:
Number of gluten-free flour used for 5 pies= 2×5= 10 cups
cost of 4 cups of gluten-free flour = $12
cost of 1 cup = 12/4 = $3
Then,
cost of 10 cups of gluten-free flour = 3×10
= $30
six more than a number ,x, YOOOOO PLZ USE AN ALGEBRAIC EXPRESSION/EQUATION
Answer: 6+x or x+6
Step-by-step explanation:
You are adding 6 to a number, in this case, we'll use x.
how do you do this? plz help me with math!
Answer:
it's x=50 hope this helps
Answer:
[tex]\frac{50}{5}[/tex] is the answer
Step-by-step explanation:
you would times 10 by 5 and you have your answer
Determine the domain and the range for this relationship.
Drag the tiles to the correct locations on the image. Not all tiles will be used.
(Several can be placed in one section, but not all of them will be placed.)
A. 0 ≤ x ≤ 6
B. 0 ≤ x ≤ 72
C. {0, 12, 24, 36, 48, 60, 72}
D. {0, 1, 2, 3, 4, 5, 6}
E. {0, 1, 2, 3, 4, 5, 6}
F. 0 ≤ y ≤ 72
G.{0, 6, 12, 18, 24, 30}
H. 0 ≤ y ≤ 6
Answer:
how are we supposed to know the answer if we don't know the problem?
Step-by-step explanation:
It makes no sense
Determine the equation of the line described. Put answer in the slope-intercept form, if possible.
4) Through (-3,1), perpendicular to -3x - 7y = 2
A) y=7/8x
B) y = 3/7x + 24
C) y=-7/3x-8
D) y=7/3x+8
The price of n tickets to a concert is is 9n + 6 dollars. What is the cost, in dollars, for 8 tickets to the play?
The cost for 8 tickets to the play is
Answer:
78
Step-by-step explanation:
do 9x8= 72
then 72+6=78
A package of nuts weights 3/4 of a pound. One serving size is 1/8 of a pound, how many servings in the package?
Answer: 6 servings
Step-by-step explanation:
One serving is 1/8 of a pound.
One package is 3/4 of a pound.
The number of servings therefore will be the number of times that 1/8 can go into 3/4.
= (3/4) / (1/8)
= (3/4) * (8/1)
= 6 servings
what is the volume of a 8 cm Cube
Answer:
512 cm3
Step-by-step explanation:
Answer:
512 cm3 (cubic centimeters)
Step-by-step explanation:
x + 15y = 45 / x + 10y = 30 solve for x and y
Answer:
25y = 45/1x = 30
Answer:
x=10; y=2
10+15(2)=40
10+10(2)=30
so this is correct
Step-by-step explanation:
How can you Factor:ab^2-ab
Answer:
ab(b−1)
Step-by-step explanation:
Factor ab out of ab ^2 − ab
PLEASEEEEE HELPPP!!!
HL
AAS
ASA
SSS
SAS
Unknown
Write addition sentences (expression) where the sum is
zero.
An car drives 9 miles in 10 minutes at a constant speed what is the car speed in miles per hour
Answer:
54 miles per hour
Step-by-step explanation:
Reflect the point (-7, -9) across the x-axis: Then
Reflect the point (-7, -9) across the y-axis:
Step-by-step explanation:
Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)
Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)
Trisha’s parents bought a new house that has 2,255 square feet.
The price per square foot was $98. How much did they pay for the house? Enter your answer in the box.
Answer:$220,290
Step-by-step explanation:
2,255 multiplied by 98 is 220,290
The total cost of Trisha’s parents new house is $220990.
Given that, Trisha’s parents bought a new house that has 2,255 square feet.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The price per square foot was $98.
So, the total cost of house = Number of square feet × The price per square foot
= 2,255 × 98
= $220990
Therefore, the total cost of Trisha’s parents new house is $220990.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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You need 4 1/8 yard of blue silk to make one bridesmaids dress and 3 5/8 yards of the same fabric to make another. how many yards of blue silk do you need to make both dresses
Rotate the image 180° about the origin. Give the new coordinates of the image.
Answer:
2 my nigher
Step-by-step explanation:
Why is 25 a composite number? (1 point)
It is odd.
OIt has more than two factors.
O All of its factors are prime numbers.
It is not divisible by any number except one and itself.
Answer:
it has more than 2 factor
Answer:
I think its b I'm pretty sure
4. When Hillary and Winston go to the grocery store together, Hillary buys eight boxes of gummies and Winston buys four boxes of gummies. If Winston buys 16 boxes of gummies, how many does Hillary buy?
Answer:
32 boxes of gummies
figure out the slope of the line that passed through each pair of points (4,-11) and (7,-8)
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[tex]slope = \frac{ - 8 - ( - 11)}{7 - 4} \\ [/tex]
[tex]slope = \frac{ - 8 + 11}{7 - 4} \\ [/tex]
[tex]slope = \frac{3}{3} \\ [/tex]
[tex]slope = 1[/tex]
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Explain how you determine the sign of your answer when you raise a negative base to a power.
Answer:
If the power is even number sign will be positive.
If the power is odd number sign will be negative.
Example:
-2² = -2 * -2 = 4
-2³ = -2 * -2 * -2 = 4 * -2 = -8
Pls help I’m begging
Answer:
3:1 and 15:5
Step-by-step explanation:
Not too sure
Tyson got a $15 gift card to use on song and movie downloads to his tablet. Each movie, m, costs $5 and each song, s, costs $1. Tyson's mom said he must use fewer than 10 downloads and that his total cost could not exceed the $15 amount on the gift card. Which of the following graphs shows the solution set of the system of inequalities?
Answer:
c
Step-by-step explanation:
bla bla bla
The solution to the inequality m + s = 10 and 5 m + 1s = 15 is shown in the graph attached below, and as it can be seen the coordinated of intersections are (8.75, 1.25), so option C is correct.
What is inequality?Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal
Given:
Total balance on card = $15,
The cost of each movie = $5,
The cost of each song = $1
The number of downloads = 10,
Write the equation as shown below,
m + s = 10 and 5 m + 1s = 15
Here m is the number of movies and s is the number of songs,
Solve the equation by elimination method,
m = 5/4 = 1.25 and s = 35/4 = 8.75
As you can see, the value of the intersection of inequalities is (8.75, 1.25),
the graph is attached below.
To know more about inequality:
https://brainly.com/question/2038369
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One out of four girls favorite color is red, and three out of four girls favorite color is pink. If there were 500 girls , how many of them favorite color would be red?
Answer:
125
Step-by-step explanation:
1/4 of 500 (the total number of girls) is 125.
HTH :)
2x + 5 greater then or equal to -1
Pre-calc. I need help NOW
Write an equation in slope-intercept form for the line
that has a slope of -4 and passes through (1,2).
Answer:
Step-by-step explanation:
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
Can someone please help me
Answer:
dilation factor is 4
Step-by-step explanation:
what did you had to multiply the side of the small initial picture by to get the big picture?
-the small side that is 2 became 8 so you multiplied by 4
How do you write the fraction-3/4 into a decimal
Answer:
-0.75
Step-by-step explanation:
Hope that helps you have a great day!