Answers
Answer: (x - 3)² + (y + 0.5)² = 3.25 → [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
Step-by-step explanation:
Concentric means they have the same center but different radii.
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the center of the circler is the radius of the circleComplete the square to find the center of the circle
x² - 6x + _____ + y² + y + _____ = 1 + ____ + ____
↓ ↓
-6/2 = -3 1/2 = 1/2
Equation: (x - 3)² + (y + 1/2)² = r²
Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².
(x - 3)² + (y + 1/2)² = r²
(4 - 3)² + (-2 + 1/2)² = r²
(1)² + (-3/2)² = r²
1 + 9/4 = r²
13/4 = r²
Equation: (x - 3)² + (y + 1/2)² = 13/4 → [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
In decimal form: (x - 3)² + (y + 0.5)² = 3.25
Related Questions
helpp whats the answer
5x=15
Answers
Answer:
[tex]\boxed{\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x=15[/tex]
and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.
[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=\frac{15}{5}[/tex]
[tex]x=3[/tex]
Let's check our solution. Plug 3 in for x and solve.
[tex]5x=15[/tex]
[tex]5(3)=15[/tex]
[tex]15=15[/tex]
This checks out, so we know our solution is correct.
The solution to 5x=15 is x=3.
Hassan loves cruising in his new sports car. His only complaint is how much gas it uses, since it only gets 20 miles per gallon. If Hassan drives 60 miles per hour, how many gallons of gas does his car need for a 75-minute drive?
Answers
Answer:
3.75 gallons
Step-by-step explanation:
speed = distance/time
s = d/t
d = st
d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles
In 75 minutes of driving at 60 mph, he drives 75 miles.
fuel economy = distance/volume
volume * fuel economy = distance
volume = distance/(fuel economy)
volume = (75 miles)/(20 miles/gal)
volume = 3.75 gallons
Answer: 3.75 gallons
Find the 12th Term of the sequence -16, -12,-8,-4...
Answers
Answer:
32
Step-by-step explanation:
You can keep adding 4 from -16 for a total of 12 times to get 32
or you can multiply 12*4 to get 48 and subtract 16 from it
hope this is good enough
Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..
How far away from home is he after a half hour?
Answers
Hi there!
Your answer to this question would be, B) 2 miles.
Happy to Help!
What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?
27
29
30
33
Answers
The value of y is 27. (first option.)
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
27
Step-by-step explanation:
2(3y + 6 +3)
2(9 + 3y)
18 + 6y
18 + 6y = 196 -16
6y =196 -16 -18
6y = 162
162 divided by 6 = 27
y =27
someone please help me
Answers
A bag of flour contains ten cups of flour. In a cookie recipe, one batch requires 1/4 cup of flour. How many batches of cookies can you make with a whole bag of flour? *
Answers
Hope this helped! :))
Division is one of the four fundamental arithmetic operations. The number of batches of cookies to make from a bag of flour is 40.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that a bag of flour contains ten cups of flour. And one batch requires 1/4 cup of flour. Therefore, we can write,
The number of cups of flour in a bag = 10 cups of flour
The number of cups required to make one batch of cookies = 1/4 cup of flour
The number of batches of cookies can be made with a bag of flour is,
Number of Batches = 10 cups of flour / 1/4 cup of flour per batch
= 40 batches
Thus, the number of batches of cookies to make from a bag of flour is 40.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
Natalie is in the business of manufacturing phones. She pays a cost of $50 per
phone produced for materials and labor and also must pay a daily fixed cost
of $900 to rent the building and equipment. Make a table of values and then
write an equation for C, in terms of p, representing total cost, in dollars, of
producing p phones in a given day.
Answers
Answer:
C = 50p +900
Step-by-step explanation:
Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).
Equation: C = 900 +50p
__
The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.
0)
A car traveled 125 miles in 2.5 hours. If the car continued at the same rate, how far had it traveled after 3 hours?
Miles traveled after 3 hours =
Answers
Answer:
150
Step-by-step explanation:
125/2.5=50
50x3 =150
Answer:
150
Step-by-step explanation:
I took the Practice/Instruction :)
solve for x in this equation below
9+3x=10
Answers
Answer:
in fraction form it is X= 1/3
in decimal form it is X= 0.3 rep.
Step-by-step explanation:
What is the 15th term in the pattern below?
1, 4, 9, 16, 25, 36, ...
Answers
Answer:
(15×15)=225
Step-by-step explanation:
Following Terms:
(7×7)=49
(8×8)=64
(9×9)=81
(10×10)=100
(11×11)=121
(12×12)=144
(13×13)=169
(14×14)=196
(15×15)=225
Simple Pattern to follow.
Evaluate -2 + W for W = -7.1
Answers
Answer:
did you know that a W is the upside down logo of McDonald's?
okay but seriously though, the answer in -9.1
Answer:
-9.1
Step-by-step explanation:
-2+7.1=-9.1. you just add them together when they are both negatives
which relationship below is not a function?
Answers
Answer:
C is not considered as not a function
Step-by-step explanation:
Due to 0 goes 2 ranges
Which of the following problems can be represented by the equation below? 5x - 15 = 15x
Answers
Answer:
6
Step-by-step explanation:
5x-15=15x
+15 +15
5x=30
5/5=1
30/5=6
1=6 or x=6
El M.C.M de: 60; 80 y 90
Answers
Step-by-step explanation:
wrong question.........??????
Answer:
what ?
Step-by-step explanation:
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answers
Answer:
1, 2, and 4
Step-by-step explanation:
If you drive 70 miles per hour, how many minutes does it take to drive 110 miles?
Answers
Answer:
127.6 mins
Step-by-step explanation:
70m per 1hr
1 mile per 1.16 min
110 mile × 1.16 min per mile
127.6 minutes
Find the product of 51 and -2.5. Use the distributive property to rewrite and solve. The first step is done for you. 51(-2.0) + 51(-0.5) What is the next step in using the distributive property to solve this equation?
A. -102 + 25.5
B. 102 + (-25.5)
C. -102 + (-25.5)
D. -102 + (-25)
Answers
Answer:
A
Step-by-step explanation:
Answer:
Its actually -102 + (-25.5)
Step-by-step explanation:
I did the question
A pitcher throws a 98 mph fastball. How fast is this in feet/second?
Answers
Answer:
143.733 f/s
Explanation:
for an approximate result, multiply the speed value by 1.467
what is "Triple y to the 5 power"
Answers
explanation
¯\_(ツ)_/¯
Solve the equation for the variable.
[tex]13x - 3.4 = 17.6 + 10x[/tex]
x = [?]
Answers
Answer:
[tex]13x - 3.4 = 17.6 + 10x[/tex]
[tex] = ) \: 13x - 10x = 17.6 + 3.4[/tex]
[tex] = ) \: 3x = 21[/tex]
[tex] = )x = \frac{21}{3} [/tex]
[tex] = ) \: x = 7[/tex]
x = 7
Step-by-step explanation:13x - 3.4 = 17.6 + 10x
13x - 10x = 17.6 + 3.4
3x = 21
x = 21 : 3
x = 7
i need help with this qurstion
-2 (4z - 4) = 10 - 6z
Answers
I think it’s z=1 hope this helps
Answer:
z=-1
Step-by-step explanation:
-2(4z-4)=10-6z
First, distribute the -2 into the parenthesis to get:
-8z+8=10-6z
Then, add 8z to each side to eliminate it from the left side to get:
8=10+8z-6z
Simplify the right side and combine the z's:
8=10+2z
Subtract 10 from BOTH sides to get:
-2=2z
Finally, to get z alone, divide everything by 2 to get:
-1=z or z=-1
help please my teacher won't help me .
the answer to #2
Answers
Answer:
b
Step-by-step explanation:
a is not correct because the domain includes negative numbers as well
c is not correct because the domain includes positive numbers as well
and
d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)
hope this helps :)
\small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle. \small m\angle L= degrees \small m\angle M= degrees
Answers
Answer:
[tex]L = 111[/tex]
[tex]M = 69[/tex]
Step-by-step explanation:
Given
[tex]L = 12x + 45[/tex]
[tex]M = 18x - 30[/tex]
Required
Determine L and M
Since both angles are supplementary;
[tex]L + M = 180[/tex]
Substitute values for L and M
[tex]12x + 45 + 18x - 30 = 180[/tex]
Collect Like Terms
[tex]12x + 18x= 180 - 45 + 30[/tex]
[tex]30x= 165[/tex]
Divide both sides by 30
[tex]x = \frac{165}{30}[/tex]
[tex]x = 5.5[/tex]
Substitute 5.5 for x in [tex]L = 12x + 45[/tex] and [tex]M = 18x - 30[/tex]
[tex]L = 12 * 5.5 + 45[/tex]
[tex]L = 111[/tex]
[tex]M = 18 * 5.5 - 30[/tex]
[tex]M = 69[/tex]
Solve the equation -7=8-3^5√x^3
Answers
Answer:
Exact form.... X= 5/81, - 5/81
Step-by-step explanation:
Hope this helps
Line segment AB has endpoints A (2, 3) and B(-4, 6). What are the coordinates of the midpoint of AB?
Answers
The midpoint of AB is (-1, 4.5)
x-coordinates: (2-4)/2 = -2/2 = -1
y-coordinates: (3+6)/2 = 9/2 = 4.5
Solution: (-1, 4.5)
X+y=-4
2x+4y=-12
Stop by substitution
Answers
Answer:
X=4-y
2(4-y)+4y=12
8-2y+4y=12
2y=12-8
2y=4
y=4/2
y=2
x=4-y
x=4-2
x=2
Calculate the median for the following test scores.
55, 55,22,64,78,99, and 100
Answers
How to calculate median:
-Arrange numbers from lowest to highest
-the number in the middle is the median
-if there’s two numbers in the middle divide them by 2 to get your answer
Explain what the intercepts mean in terms of the context and how to find them.
Answers
Answer:
Intercepts in terms of graphing are considered to be points at which a function crosses an axis. In the standard x and y graph (the Cartesian coordinate grid), one would find the intercepts by simply plugging in the value of 0 for either the x or the y to find either the y or x intercept respectively. For example, to find the y-intercept, you want to find (0,y) and to find the x-intercept, you want to find (x,0).
Cheers.
What is the probability of tossing 7 Coins and having 4 heads and 3 tails
Answers
Answer:
35/128
Step-by-step explanation:
7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.