In the XY plane, the circles with equations (x-3) + y = 11 and (x+2) + y = r are externally tangent. the value of r is -6.
What is tangent?Generally, To find the value of r, we can start by solving for the centers and radii of the two circles.
The equation of the first circle is of the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. We can rewrite the equation of the first circle as (x - 3)² + y² = 11², so the center of the circle is (3, 0) and the radius is 11.
The equation of the second circle is also of the form (x - h)₂ + (y - k)₂ = r². We can rewrite the equation of the second circle as (x + 2)² + y² = r², so the center of the circle is (-2, 0) and the radius is r.
Since the two circles are externally tangent, the distance between their centers is equal to the sum of their radii. Therefore, the distance between the centers is equal to 11 + r. We can use the distance formula to find the distance between the centers:
distance = √((h₂ - h₁)^2 + (k₂ - k₁)²)
Plugging in the coordinates of the centers, we get:
distance = √((-2 - 3)^2 + (0 - 0)^2) = √(5^2 + 0^2) = √(25) = 5
Since the distance between the centers is equal to the sum of the radii, we can set up the equation:
5 = 11 + r
Solving for r, we get:
r = 5 - 11 = -6
Therefore, the value of r is -6.
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Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60
Answer:
A) 15x > 45
Step-by-step explanation:
Let X represent an hour. His wage will be 15 times that, so you have:
15x
He needs to earn more than 45 a day, so the inequality needs to be >45
Only answer that satisfies these conditions is A:
A) 15x > 45
Answer: A.
Step-by-step explanation:
8 km
6 km
What is the length of the hypotenuse?
kilometers
C
Answer:
10
Step-by-step explanation:
We use pythagorean theorem:
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
[tex]\sqrt{36 + 64} = \sqrt{100} = 10[/tex]
Please help best gets brainlist and 5/5 and show work please
A tennis club has 560 members.
(a) The ratio
men : women: children
5:6:3
(i) Show that the club has 240 women members.
(ii) How many members are children?
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 5 + 6 + 3 = 14 parts
Divide number of members by 14 to find the value of one part of the ratio.
560 ÷ 14 = 40 ← value of 1 part of the ratio
(i)
number of women = 6 × 40 = 240
(ii)
number of children = 3 × 40 = 120
Can someone help me, please!!
Id say its option 3.
What is the distance between the origin and the point (2,-5) on a graph? The options are: square root of 7. Square root of 29. 7. 29.
Answer:
Square root of 29.
Step-by-step explanation:
Distance = sqrt(2^2 + (-5)^2)
= sqrt 29.
From a survey of 100 commuters about how they get to work, 38 said they drive their cars, 47 said they take the bus, 14 said they take the subway, and 1 said they ride their bicycle. If there were 4,800 commuters total. How many drove a car out of the 4,800? How many took the bus out of the 4,800? How many took the subway of the 4,800? How many rode a bicycle out of the 4,800? PLEASE HELP
1824 drove a car
2256 take a bus
672 ride the subway
48 ride a bicycle
3.8n+1=3.6m+1.62 (show the work)
Answer:
M=1.05n-0.172
Step-by-step explanation:
help with segment relationships in circles...picture attached.
Please help due soon and explain why it’s that choice. Thanks! Giving brainiest btw.
I really need help with this it’s on Aleks
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\sqrt[3]{3y+2}[/tex] + 4 = 6 ( subtract 4 from both sides )
[tex]\sqrt[3]{3y+2}[/tex] = 2 ( cube both sides )
3y + 2 = 2³ = 8 ( subtract 2 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
A ratio is a comparison of two quantities.
(2 points)
A.True
B.False
Answer:
true
Step-by-step explanation:
A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area
Answer:
The base and height of three parallelograms with the same area as the 12 square inches rectangle are
1) First parallelogram;
Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
2) Second parallelogram
Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
3) Third parallelogram
Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
Step-by-step explanation:
The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)
Let ABCD represent the vertices of the rectangle such that we have;
A(0, 0), B(4, 0), C(4, 3), and D(0, 3)
The area of the rectangle, A = The length of AB × The length of CB
The length of AB = √((4 - 0)² + (0 - 0)²) = 4
The length of CB = √((4 - 4)² + (3 - 0)²) = 3
∴ The area of the rectangle, A = 4 × 3 = 12 square units
The area of a parallelogram = Base length × Height
The base and height of three parallelograms with the same area as the 12 square inches rectangle are;
1) Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
The area of the parallelogram, A = Base × Height;
∴ A = 4 units × 3 units = 12 units²
2) Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
The area of the parallelogram, A = Base × Height;
∴ A = 6 units × 2 units = 12 units²
3) Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
The area of the parallelogram, A = Base × Height;
∴ A = 5 units × 2.5 units = 12 units².
ill give brainlist for you will receive the 30 if you get them all 3 right if you get one right ill give you thanks if you do 2 ill give thanks and all 5 hearts and if you get all 3 right ill do brainlist and the thanks as well as the 5 hearts
Answer:
The answers from left side on
X=60
X=15
X=21
Step-by-step explanation:
Good luck ^_^
3. The table shows the average annual salary in dollars based on
the minimum level of education required for two occupations.
Occupations
Occupation Average Annual Salary Level of Education
(dollars)
Required
Accountant 71,040
Bachelor's degree
41,700
High school diploma
preparer
Тах,
Based on the average annual salaries in the table, how much
more would an accountant earn than a tax preparer over a 30-
year career?
Answer:
the answer is $880.200
Step-by-step explanation:
HELP ME PLEASE I need it
Lewis walked 8 ··10 of a mile. Todd walked 3 ··4 of the way with Lewis. How many miles did Todd walk with Lewis? Show your work.
Complete question :
Lewis walked 8/10 of a mile. Todd walked 3/4 of the way with Lewis. How many miles did Todd walk with Lewis? Show your work.
Answer:
0.6 miles
Step-by-step explanation:
Miles walked by Lewis = 8/10 miles
Miles Todd walked with Lewis = 3/4 of the way
This means : Multiplying the fraction Lewis walked with the fraction Todd walked with Lewis
8/10 * 3/4 = 24/40 = 0.6 miles
Hence, Todd walked 0.6 miles with Lewis
What is the answer to this please help
Answer:
A = 140
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 20
h = 14
Work:
A = 1/2bh
A = 1/2(20)(14)
A = 10(14)
A = 140
can you simplify -3(x+7)
Answer:-3x-21
Step-by-step explanation: use the distributive property
Answer:
=−3x−21
Step-by-step explanation:
−3(x+7)
=(−3)(x+7)
=(−3)(x)+(−3)(7)
=3x-21
help pls pls hahsjsjdhd
Answer: [tex]\frac{x}{50} > 8[/tex]
Step-by-step explanation:
more than = > not ≥
A rectangular box has a volume of 15 cubic feet. The length, width, and height of the box are each doubled.
What is the new volume of the rectangular box?
A. 30 cubic feet
B. 60 cubic feet
C. 90 cubic feet
O D. 120 cubic feet
Answer:
it should be D/120
Step-by-step explanation:
An example of the box is:
5 the width
3 the length
1 the height.
That would be 5 x 3 x 1.
To double them, you must multiply each number by 2:
5 x 2 = 10
3 x 2 = 6
1 x 2 = 2.
Now the equation is 10 x 6 x 2.
First multiply 10 x 6 (60).
Then 60 x 2 (120).
120 is the answer
The equation for the perimeter around Claire's garden is a:
O Linear Function
O Exponential Function
O Quadratic Function
O Absolute Value Function
Answer:
Linear function
Step-by-step explanation:
Took da test ;)
?!??!!!!!someone help me
Answer:
its b
Step-by-step explanation:
Well the easy way to find this is to just solve the first one. the equation is
x-y>5 so you plug in the coordinate and you end up with 7-2>5 which is false. So any answer with option one is out and b is the only one that fits that description.
PLEASE HELP HURRY!!!
Answer:
C
Step-by-step explanation:
consistently goes down by 3.2 for the y value
According to the graph, about what percent of the bags weighs 49.8–50.0 lb?
55%
50%
40%
45%
Answer:
55%
Step-by-step explanation:
The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385. How many special bagel sandwiches were sold on that saturday ?
Answer:
Number of special bagel sandwiches = 37
Step-by-step explanation:
Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.
The bagel shop sold 100 items.
[tex]x+y=100\\y=100-x[/tex]
Also, The bagel shop made $385.
[tex]7x+2y=385[/tex]
Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]
[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]
So,
Number of special bagel sandwiches = 37
David got an $80 gift card to walmart. He uses the gift card to buy a dog toy for $12.99. He also wants to use the gift card to buy some candy bars. Each candy bar cost $0.99 how many candy bars can he buy
Answer:
67.68
68 rounded
Step-by-step explanation:
80-12.99=67.01
67.01 divided by 0.99=67.68 repeating
Determine which ordered pair is a solution to the inequality: 3x+y>6
(1,1) (2,1) (1,2) (0,0)
Answer:
order pair (2,1) is the solution to the inequality.
Solve the right triangle. Round side and angle measures to the nearest tenth, if necessary.
Answer:
∠C = 28° (as you have done)
AB = 4.7
BC = 8.8
Step-by-step explanation:
cos 62° = AB/10
0.4695 = AB/10
AB = 10(0.4695) = 4.69
sin 62° = BC/10
0.8829 = BC/10
BC = 10(0.8829) = 8.83
33/q = 8/12 q=?
What is q
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5