The center of circle Q has coordinates (3,-2). If circle Q passes through R(7,1), what is the
length of its diameter?
A. 50
B. 25
C. 10
D. 5
Answer:
C.
Step-by-step explanation:
We can use the distance formula to find the distance between the center of circle Q and point R, which is also the radius of the circle. Then, we can multiply this value by 2 to get the diameter of the circle.
Distance Formula:
The distance between two points with coordinates (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the distance formula, we can find the radius of circle Q:
radius = sqrt((7 - 3)^2 + (1 - (-2))^2)
= sqrt(4^2 + 3^2)
= 5
Therefore, the diameter of the circle is:
diameter = 2 * radius
= 2 * 5
= 10
So, the length of the diameter of circle Q is 10 units.
1
What is the y-intercept of a line that has a slope of 2 and passes through point (8,3)?
1
3
5
11
Answer:
the y intercept is -13
Step-by-step explanation:
First of all we need the line equation so let's find it first :
y = mx + b
y = 2x + b
_______________________________
The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :
2(8) + b = 3
16 + b = 3
b = 3 - 16
b = - 13
______________________________
Now we have the equation of the line :
y = 2x - 13
To find the y-intercept we just need to out 0 (zero ) instead of x ; Let's do it :
y = 2(0) - 13
y = 0 - 13
y = - 13
Thus the y-intercept = - 13
I need help with problem.
Answer:
The measure of DC is 20ft.
Step-by-step explanation:
Because the problem states that BA=AC, AD becomes the bisector of angle BAC. This means that BD and DC must be the same length.
Can someone help me find the area plz
Answer:
16.24 yd^2
Step-by-step explanation:
The area is
A = bh
A = 5.6*2.9
A =16.24 yd^2
Answer:
Step-by-step explanation:
90.9
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
2
x
+
4
−
3
−
2
−
2
a
−
1
2
0
b
1
c
2
d
Answer:
53thst is the right. answer
SOMEONE PLEASE HELP ME! I AM REALLY BAD AT GEOMETRY!
Answer:
m∠STQ = 160°
Step-by-step explanation:
Angles diagonal of each other in a parallelogram are equal to each other. Therefore m∠STQ = 160°.
Reason: Opposite angles of any parallelogram are always congruent.
x + 3 > 70
How do I solve this step by step?
Answer:
x > 67
Step-by-step explanation:
x+3 >70
subtract from each side
x+3-3 > 70 -3
x > 67
Algebra
To solve this, simplify the algebra inequality.
Subtract three from both sides.
x>67
Meaning, x is bigger than 67.
Find the slope of the line that passes through the
points (-3,5) and (3, 1).
Answer:
Slope = -2/3
Step-by-step explanation:
Slope = change in y / change in x OR the rise/run
Slope = (5 - 1)/(-3 -3)
Slope = 4/-6
Slope = -2/3
Hope this helped!
Solution :
As we know that,
[tex] \boxed{\red{\bf{Slope \: (m) \: = \: \dfrac{y_{2} \: - \: y_{1} }{x_{2} \: - \:x_{1}} }}} \: \bigstar[/tex]We have :
[tex]\sf{x_1 \: = \: -3}[/tex][tex]\sf{y_1 \: = \: 5}[/tex][tex]\sf{x_2 \: = \: 3}[/tex][tex]\sf{y_2 \: = \: 1}[/tex]Substituting the values :
[tex] \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: - \: ( - 3)} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: + \: 3} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{ - 4}{6} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \cancel\dfrac{ - 4}{6} } \\ \\ \longmapsto \: \bf{ \orange{Slope \: (m) \: = \: \dfrac{ - 2}{3} }}[/tex]
Solve the equation for X. Show all work.
6(-3x - 4) = - 18x + 24
indica los monomios semejantes en cada uno de las siguientes series: por favor ayudenmen aaaaaaa D':
Answer:
Do you have this in english so that I can help :)
Step-by-step explanation:
A part of Jennifer’s work is to solve the equation 2(6x^2-3)=11x^2-x is shown below
Answer:
Step-by-step explanation:
2(6x² - 3) = 11x² - x
2*6x² - 2*3 = 11x² - x
12x² - 6 = 11x² -x
Subtract 11x² from both sides
12x² - 11x² - 6 = -x
x² - 6 = -x
x² + x - 6= 0
Sum =1
Product = -6
Factors = 3 , (-2) { 3*(-2) = -6 & 3 +(-2) = 1}
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3)= 0
(x +3)(x - 2) = 0
HELP ASAP !! Which is more, 1 mile or 365 yards?
Answer:
1 mile is longer than 365 yards
Step-by-step explanation:
there are 1,760 yards in a mile
Hi there!
»»————- ★ ————-««
I believe your answer is:
One mile.
»»————- ★ ————-««
Here’s why:
A mile is 1,760 yards. Since the number of yards given in the question, 365, is less than 1,760, a mile would be more than 365 yards. Side note: 365 yards is about 0.2 of a mile.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
4x + 8y = 24 y = -1 2 x + 5
Answer:the answer to this is 16x -16y=5.
step by step explanation:.
4x+8y=24y=-12x+5
= 4x+13x+8y-24y=5.
16x - 16y =5.
Please evaluate this...
Want it in detail...
Will mark Brainliest for the best answer..
Step-by-step explanation:
everything can be found in the picture
Leslie joins a fitness club that has an initial fee of $20 plus a monthly fee of $15,
write it as a function of x below.
f(x)=
Answer:
20 + 15x
Step-by-step explanation:
The initial fee is $20, and the monthly fee is $15. x is the amount of months, so f(x) = 20 + 15x
On the following parallelogram, find angle a in degrees.
12 inches
b
с
у
a
1149
+
Х
O a = 66
O a = 114
O a = 45
O a = 58
9514 1404 393
Answer:
a = 66
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
a = 180° -114°
a = 66°
Which type of graph would be best for displaying the frequencies of weights of several juvenile monkeys at a wild animal preserve according to equal-sized weight categories?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
C. A histogram
Step-by-step explanation:
Histograms are commonly used to denote the frequency of a range of categories of a set of values. Generally, the y-axis represents frequency and the x-axis represents intervals of data based on the given set of values.
Write the expression for 2 added to the product of a number p and 43
Answer:
43p + 2
Step-by-step explanation:
Product of p and 43 = 43p
2 added to the product of p and 43 = 43p + 2
Answer:
Step-by-step explanation:
The product of a number p and 43 means
p * 43 = 43p
And 2 added to the product gives;
43p + 2
However; the expression is 43p + 2.
Kaitlyn, has a job at Pastabilites. Her hourly wage is $6.50 an hour. She receives 9% of the tips on any given night. If she works 7 hours and the restaurant makes $1,342.25 in tips during that time, how much money does she earn?
Answer:
Step-by-step explanation:
make another Fibonacci sequence.This time start with:0,2,...
Answer:
0, 2, 2 4 6 10 16 26 42 68 110
Step-by-step explanation:
CD is a perpendicular bisector of chord AB and a chord through CD passes through the center of a circle. Find the diameter of the wheel. a- 14 2/5in b- 10in c- 12 1/5in d- 7 1/5in.
Answer:
[tex]12\frac{1}{5}[/tex] in
Step-by-step explanation:
That's the correct answer :)
Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?
Answer:
Mike= 240 boxes
Sarah= 120 boxes
Step-by-step explanation:
Mike and Sarah are packing boxes at a company
Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is
= 30×8
= 240
Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is
= 15×8
= 120
Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes
Find the value of the term in the arithmetic sequence using an = a^1+ (n-1)d. 3,5,7,9,11, (8th term)
=========================================================
Work Shown:
a1 = 3 = first term
d = 2 = common difference (since we add 2 to each term to get the next one)
Let's compute the nth term.
an = a1 + (n-1)*d
an = 3 + (n-1)*2
an = 3 + 2n-2
an = 2n+1
-----------------------
To check things so far, we can plug in something like n = 2
an = 2n+1
a2 = 2*2+1
a2 = 5
Showing that the 2nd term is 5, which matches with the sequence given to us
Let's check n = 3
an = 2n+1
a3 = 2*3+1
a3 = 7
That matches as well. I'll let you check the others.
-----------------------
Plug in n = 8 to find the 8th term
an = 2n+1
a8 = 2*8+1
a8 = 17
The eighth term is 17, which is the final answer.
-----------------------
You could extend out the given sequence by adding 2 each time until you reach the 8th term
3,5,7,9,11,13,15,17
Though this method is slow if you need to find say the 38th term
Answer:
17 is the answer for the value of the term in the arithmetic sequence using the above
What is the approximate distance between the swing and the slide?
Answer:
Distance of slide = 80 feet. Angle between swing and slide = 30 degrees
Greatest common factor for 30y^4, 6, 14y
Answer:
2
Step-by-step explanation:
30/2 = 15
15/3 = 5
5/5 = 1
2 * 3 * 5 * y^4
6/2 = 3
3/3 = 1
3 * 2
14/2 = 7
7/7 = 1
2 * 7 * y
Only 2 appears in all the numbers
It would be great if someone could answer this :)
Answer:
Step-by-step explanation:
You could do this step by step.
The first year is left alone: 90,000 kt
The second year is 90000 * 0.96 That represents a 4% reduction
Second year = 86400
Third year = 86400 * .96 = 82944
Fourth year = 82944 * 0.96 = 79626.24 Here's where you run into your first dilemma. What do you do with that 0.24? The answer is, you round it here, but leave it in your calculator.
Fourth year = 79626
Fifth year = 79626.24 * 0.96
Fifth year = 76441
Sixth year = 79626.1904 * 0.96
Sixth year = 73383.542
Sixth year = 73384
Of course once you have gone through all that, you could do it this way
Sixth year = 90000 * 0.96^(n - 1) = 73383.54 = 73384
Same answer both ways.
I'm going to leave the addition to you.
Sum = a* (r^(n) - 1)/ (r - 1)
Sum = 90000 * (0.96^5 - 1) / (0.96 - 1 ) = 415411 rounded. I think that's right, but check it out.
When Zoe was six-year-old Lulu is twice her age Zoe is 10 years old now how old is Lulu
Answer:
20 years old! Heart it if it was helpful :D
Step-by-step explanation:
Alright! Well Zoe = 6 when Lulu = 12. Zoe is 10 so lulu is now 20.
Answer:
16
Step-by-step explanation:
Debbie is making 16 cakes for a large
banquet. The cake recipe calls for 1.5
cups of milk for one cake. How many
quarts of milk should Debbie
purchase at the store to have enough
for all of the cakes?
Answer:
12 tablespoons
Step-by-step explanation:
because 3/4 of 16 tablespoons is 12
Answer:
6 Quarts of milk!
Step-by-step explanation:
Do 1.5 cups times 16 to get 24 cups. Then you covert cups to quarts to get an answer of 6. I hope this helped you, have a nice day!! :)
In a 30-60-90 special right triangle, if long leg is 5√3 then the short leg = ___, and the hypotenuse is ____
Answer:
short = 5, hypotenuse = 10
Step-by-step explanation:
In a 30-60-90 triangle, the long leg is x√3, the short leg is x, and the hypothenuse is 2x.
As the long leg is 5√3, we can see that x is 5. So, the short leg would be 5 and the hypothenuse would be 2x5, which is 10.
bella is selling jelwery at a craft fair. she made 40 necklaces and selling them for $12 each. how much more money would she make If she sells all $40 necklaces than if only sells 10?
Answer:
Yeah 10
Step-by-step explanation:
40 will give her more