Answer:
[tex](x-4)^2+(y-3)^2=25[/tex]
Step-by-step explanation:
We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:
[tex]3x+4y=24[/tex]
Find the intercepts first. To find the x-intercept, let y = 0:
[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]
The x-intercept is (8, 0).
To find the y-intercept, let x = 0:
[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]
The y-intercept is (0, 6).
Since this segment is the diameter, its midpoint is our center.
Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:
[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
Hence, the center of the circle is:
[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]
To find the radius of our circle, we can find the diameter and divide it by two.
The diameter is the length of the segment or the distance from (0, 6) to (8, 0).
Find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
So, the diameter of our circle is:
[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]
Therefore, the radius of our circle is 5.
The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Our center is (4, 3) and our radius is 5.
Therefore:
[tex](x-4)^2+(y-3)^2=25[/tex]
The graph compares the scores earned by 100 students on a pre-test and a post-test.
Two box and whisker plots showing Pre-Test and Post-Test scores on a number line from 0 to 100. The upper plot represents the pre-test scores. For this upper plot, the minimum number is 0, the maximum number is 78, the right side of the box is 60, the left side of the box is 16, and the bar in the box is at 30. The lower plot represents the post-test scores. For this lower plot, the minimum number is 4, the maximum number is 100, the right side of the box is 83, the left side of the box is 30, and the bar in the box is at 45.
About how many more students scored greater than 30% on the post-test than on the pre-test?
15
Answer:
25 more studentsStep-by-step explanation:
30% mark represents:
50% on pre-test and 25% on post test.So
50% of 100 = 50 students scored greater than 30%75% of 100 = 75 students scored greater than 30%.The difference is:
75 - 50 = 25 studentsAnswer:
25 students
Step-by-step explanation:
A bag of white sugar and a bag of brown sugar each contain 11 1/3 cups of sugar. How Many muffins can Maria top if she has 1 bag of each type of sugar?Explain your reasoning。This is super urgent tahnks
Answer:
187
Step-by-step explanation:
Fraction to make topping:
1/4 cups of white ; 2/3 cups of brown
Combined = 1/4 + 2/3 = (3 + 8) /12 = 11/12 cups
Fraction of combined used to top muffin = 1/12
Number of muffins that can be topped per combination made :
11/12 ÷ 1/12 ; 11 /12 * 12 / 1 = 11 muffins
Recall :
Each sugar has 11 1/3 cups
For brown sugar :
34 /3 ÷ 2/3 cups
34 /3 * 3 /2 = 17
For white sugar :
34 /3 * 4 /1 = 45.33
However, the highest amount of combined muffin topping for white sugar will be restricted by the number of brown :
Hence,
11 muffins can be topped from each combined mixture ;
Total muffin that can be topped :
17 * 11 = 187 muffins
How is this one done?
find two numbers if their sum is 115 and their difference is 7
Answer:
54+61
Step-by-step explanation:
54 + 61 = 115
61 - 54 = 7
Find a equation of a line that is parallel to y=5x-21 and passes through the point (3,7).
Find the axis of symmetry of the graph y=x^2+8x+16
Answer:
x = -4
Step-by-step explanation:
to find the axis of symmetry use this formula:
x = -b/2a
if this problem, a = 1, b = 8, c = 16
x = -8/2(1)
x = -4
Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?
Answer:
a. h = -2t + 29
b. 14.5 inches (not sure)
c. 5 1/2 minutes
d. The domain means the amount of time elapsed.
e. The value of h means the height of the water left
Step-by-step explanation:
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
Can someone please help asap thank you
Answer:
7%
Step-by-step explanation:
.07x1 is .07, therefore tax rate
please give brainliest im desperate
URGENT SOMEBODY PLZ HELP
First one is B (43) and the second one is C (35)!
Help,anyone can help me do quetion
Answer:
a3) x= 83
y= 180-71 = 109
a4) x=53
w= 180-53...
y=x=53
z= 180-y
ps
mymall.lausd.net Bookmarks
Gannexation - Goo...
FINAL LT 4 Assessment
9 of 10
POSSIBLE POINTS: 0.5
Draw a picture that represents the word problem. If it is not clear from your drawing, label the airplane, island and boat. Don't forget to include x in your
picture!
You are flying an airplane directly over a boat and spots an island in the distance. If the plane is flying at a height of 5,500m and you look down at the
island at an angle of 72 degrees, how far is the boat from the island?
x Clear
Undd
Redo
(720
Answer:
Step-by-step explanation:
You probably need to make your own version cause mine is super messy but here
Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of
the ladder was 4 feet away from the wall. If his ladder was 13 feet long, how high up was the
top of the ladder against the wall of the house? Round your answer to the nearest tenth.
Answer:
12.4 feet
Step-by-step explanation:
A ladder placed against the wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 13 feet
Opposite = 4 feet
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
13² = 4² + x²
169 = 16 + x²
169 - 16 = x²
153 = x²
Find the square root of both sides
√153 = √x²
12.369316876852 = x
x = 12.4 feet
Adjacent = x = 12.4 feet
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
Which is the best approximation for the value of 102−−−√?
Answer:
10
Step-by-step explanation:
it is because when you use a scientific calculator you get 10.09950494
which would be round to 10 because after the decimal the number is 0 below 5 so 10 stays as 10
hope this helps
The best approximation for the value of √102 is: 10.
Approximation for √102The square root of 102 is:
√102
=10.09950494
Now if we approximate 10.09950494 it would give us:
Approximation= 10.09950494
Approximation= 10 (Approximately)
Therefore The best approximation for the value of √102 is: 10.
Learn more about approximation here:https://brainly.com/question/1980606
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
there are 4 groups of 3
Step-by-step explanation:
12 ÷ 3 = 4
answer : 4
Step-by-step explanation:
12 = 3 + 3 + 3 + 3 there are 4 groups of 3
find the volume of the cone. the radius is 5 and the height is 3
Answer:
V= 78.54
Step-by-step explanation:
Solve this equation
2 . B - 19 = -11
Answer:
B=8
Step-by-step explanation:
you add 19 to both sides of the equation to get B by itself.
[tex]B=-11+19\\B=8[/tex]
answer:
8,
reason
11+8=19
alalalalalalalaalalalalal
20character minimum^
Which statement has the same information that is given for the proof below
Answer:
D. TU is a midsegment
Step-by-step explanation:
Questlon 2 of 10
Is SAM- FIG? If so, identify the similarity postulate or theorem that
applies.
MOA
16
110 24
12
G
A. Similar - SAS
B. Similar - SSS
C. Similar - AA
D. Cannot be determined
Help me please Help me please Help me please
Answer:
[tex]y = x + 7[/tex]
Step-by-step explanation:
[tex]y = gx + c[/tex]
[tex]gradient = \frac{y}{x} = \frac{1}{1} = 1[/tex]
[tex]where \: the \: line \: meet \: the \: y-axis = 7[/tex]
Please help me-
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
[tex]\text{C. }g(x)=(x-5)^2[/tex]
Step-by-step explanation:
The function [tex]y=(x-c)^2[/tex] has a phase shift of [tex]c[/tex] to the parent function [tex]y=x^2[/tex]. Since [tex]g(x)[/tex] has moved to the right 5 units from the parent function [tex]f(x)=x^2[/tex], we're looking for a value of [tex]c=5[/tex].
Therefore, we have:
[tex]g(x)=\boxed{(x-5)^2}[/tex]
A shirt originally $38.00 is on sale for 25% off. What is the discounted price?
Step-by-step explanation:
$ 28.50
minus $ 0.00
FINAL Price » $ 28.50
Note: Sales Tax Not Included
Savings » $ 9.50
Effective % Off » 25%
Answer:
$28.5
Step-by-step explanation:
100% - 25% = 75% (so you don't have to add or subtract anything)
38 * .75 = 28.5
=$28.5
Which is the axis of symmetry of a parabola with equation y? --8x?
O y = -2
O y = 0
0 x = 0
O x = 2
38) If AD = 10, find the arc length of DE.
Answer:
23.6 units
Step-by-step explanation:
If we have a circle of radius R, the perimeter of the arc is given by:
P = 2*pi*R
Now, if we only want to find the length of an arc defined by an angle "a", it will be:
L = (a/2*pi)*2*pi*R = a*R
In this case, we know that DA = 10, so we can think that this is a circle of radius R = 10 units
And for the arc DE, we have the angle:
a = 2.36 rad
replacing these two in the formula, we get:
L = 2.36*10 units = 23.6 units
fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers
a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430
Please help me show my work for, Larry has a piece of wood that is 2.45 feet long and 2.097 inches wide. Part B: Using the width of the wood in Part A, what is the area, in square feet, of the piece of wood rounded to the nearest hundredth? Plsss hurry and help me
Answer: 0.43ft²
Step-by-step explanation:
You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.
Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:
= 2.45 × 0.17475
= 0.4281375 ft²
= 0.43ft² to nearest hundredths
Note 1 foot = 12 inches
Therefore, 2.097 inches = 2.097/12 = 0.17475 feet
!!!!someone help please??????
Answer:
The image you provided doesnt work
Step-by-step explanation:
Answer:
The answer is 8, take away 8.25 from 210 and then divide it by 23
What do you get when you subtract-3xy from 5xy
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
Answer:
flour 720 g
salt 10.8 g
yeast 14.4 g
oil 36 ml
water 600 ml
Step-by-step explanation:
600 ml - 500 ml = 100 ml = 20% more
Set up ratios to determine 20% of each ingredient and add to the original amount.
Example:
20%/100% = x ml/30 ml
20x30÷100=6
So, for oil, you need 30 ml + 6 ml = 36 ml
6 ml = 20% more
