what is the standard equation of the circle in the graph
Answer:
option 1
Step-by-step explanation:
formula:(x-h)^(2)*(y-k)^(2)=r^2
well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2
if you move the circle 2 units up, plug it in you get (-2), so it is
(x+3)^2*(y-2)^(2)=r^2
now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus
(x+3)^2*(y-2)^(2)=9
this is the answer, and the option that has it is answer is option 1
Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.
Answer: 7bb +19 ll ≥210
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)
Mathematically speaking:
7 bb + 19 ll ≥210
what number is being factored in this factor tree?
Answer:
164
Step-by-step explanation:
82 multiplied by 2
Answer:
164
Step-by-step explanation:
2 *82=164
Please answer this very simple attachment that will be below use the image below to help your answer!!!
What similarity property, if any, can be used to show that the following two triangles are similar
A. Not enough information given
B. AA
C. SAS
D. SSS
Please answer this
If the air temperature is −14°F, how many degrees must it rise to reach 0°F?
Answer:
14°
Step-by-step explanation:
→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.
→The temperature is -14, so to get it to 0, you add 14:
-14 + 14 = 0
Answer: 14 degrees
Step-by-step explanation:
-14 + x = 0
Help with 11, 12, 13 pls. You get 10 points
Sara went on a diet and reduced her daily calories from 2,000 to 1,400. By what percent did she reduce her daily calories?
Answer: 30%
Step-by-step explanation:
Difference is (2000 - 1400) = 600
%age reduction 600/2000 x 100 = 30%
Find the number that makes the ratio equivalent to 2:3.
6: ___
Answer:
Step-by-step explanation:
2:3 = 6: ___
[tex]\frac{2*3}{3*3}=\frac{6}{9}[/tex]
2:3 = 6 :_9___
Answer:2:3=6:9
Step-by-step explanation:
2×3/3×3=6/9
2:3=6:9 !!!!!!!!
A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answer in terms of pie
Answer:
Step-by-step explanation:
volume of cone=1/3 πr²h
volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h
=1/3π(R²H-r²h)
=1/3π(4.5²×9-3²×6)
=1/3π×9×3(4.5×1.5-2)
=9π(6.75-2)
=9π×4.75
=42.75π cm³
The volume of frustum of cone is [tex]42.75\pi[/tex]
What is frustum of cone?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
Where,
R = Radius of the bigger circular end
r = radius of the smaller circular end
H = height of frustum
According to the question
Original height of cone = 9 cm
Radius of the bigger circular end = 4.5 cm
Radius of the smaller circular end = 3 cm
Height of frustum = 3 cm
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
= [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]
= [tex]\pi [ 20.25 + 9 + 13.5][/tex]
= [tex]42.75\pi[/tex]
Hence, The volume of frustum of cone is [tex]42.75\pi[/tex] .
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Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,
Answer:
Choice C
Step-by-step explanation:
[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]
Hope this helps!
Answer:
10x7 y 4
Step-by-step explanation:
i just answered it
f(x)=5x−3
f(5) = ???
Answer:
22
Step-by-step explanation:
5(5) -3
25-3
22
Answer:
the answer is 22.
Step-by-step explanation:
pls i need the help.
Answer:
3. 16a+24b
Step-by-step explanation:
I know this because I grouped the eqatiobs together
Answer:
#3. 16a + 24b
Step-by-step explanation:
P= 2( length plus width).
Determine the equation for the line of best fit to represent the data.
scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero
y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4
Answer: B
Step-by-step explanation:
Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )
Let's first find the slope M
M = (0 - 4)/( 7 - 0)
M = - 4/7
Since the line of best fit is linear, let adopt general equation of straight line
Y = MX + C
As the line passes through ( 0 , 4 )
Substitutes for Y and X
4 = - 4/7 (0) + C
C = 4
Where C = intercept
The equation for the line of best fit to represent the data will be:
Y = - 4/7 X + 4
Y equals negative two thirds times x plus 4
Answer:
It is B.
Step-by-step explanation:
I took the test... :)
Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?
Answer:
A'(7,3), B'(11,7) and C'(9,5).
Step-by-step explanation:
The vertices of given triangle are A(4,5), B(8,9), and C(6,7).
Given rule of translation is
[tex](x,y)\rightarrow (x+3,y-2)[/tex]
We need to find the vertices of triangle A'B'C'.
Now,
[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]
[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]
[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]
Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).
Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
Which graph represents the solution for the equation 1/6 x = -2x + 5?
The graph below models the height of a remote-control helicopter over 20 seconds during flight.
Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds
Answer:
2) 5 to 10
Step-by-step explanation:
The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.
Analyzing the intervals:
In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.
In the interval from 5 to 10 the height hardly changes.
In the interval from 10 to 15 the height changes more than in the previous interval (downward).
And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.
thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).
To convert a distance of 4500 yards to miles, which ratio could you multiply
by?
O A.
1760 miles
1 yard
B.
5280 feet
1 mile
C.
1760 yard's
1 mile
D.
1 mile
1760 yards
SUBMIT
The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
Answer:
The answer is -2.968
Step-by-step explanation:
I took the test and got it right unlike the other person who got it wrong for me.
What is the greater of -5
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answer:
30 minutes
Step-by-step explanation:
Dina took 2 hours to finish the path, since she biked at 10 km/h.
This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.
To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.
algebra applications: find the value of x and y
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
[tex]5x-y+150=180[/tex] ...........(1)
[tex]5x-y=180-150[/tex]
[tex]5x-y=30[/tex] ............(2)
[tex]5x+y+130=180[/tex] ...........(3)
[tex]5x+y=180-130[/tex]
[tex]5x+y=50[/tex] ...........(4)
Now we adding equation 2 and 4, we get the value of x.
[tex]5x-y+5x+y=30+50[/tex]
[tex]10x=80[/tex]
[tex]x=8[/tex]
Now we are putting the value of x in 4, we get the value of y.
[tex]5x+y=50[/tex]
[tex]5(8)+y=50[/tex]
[tex]y=50-40[/tex]
[tex]y=10[/tex]
Therefore, the value of x and y is 8 and 10 respectively.
Write as a mixed number 5.06
Answer:
5[tex]\frac{3}{50}[/tex]
Step-by-step explanation:
0.06 = 6/100 = 3/50
Answer:
5 [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
Is (–5, 0) a solution to the equation y = 7x − 5?
Answer:
no
Step-by-step explanation:
to see, plug in -5 for x and find your y outcome.
y = 7(-5) -5
y = -35 - 5
y = -40
since y does not equal 0, (-5,0) is not a solution for the equation.
Answer:
no
Step-by-step explanation:
y = 7x − 5?
Substitute the point into the equation
0 = 7(-5) -5
0 = -35-5
0 = -40
This is not true so (-5,0) is not a solution
The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4?
Answer:
2/3
Step-by-step explanation:
Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.
1/4 = 2/3 of the fraction 3/8
A restaurant bill is $27.50. If the sales tax is 7.5% and a 20% tip is added, what is the total cost of the meal?
(PLEASE ANSWER ASAP)
Answer:
35.06
Step-by-step explanation:
So you have to multiply 27.50 by 0.075 to find the sales tax.
2.0625 ≈ 2.06
If the tip is off the original price, you multiply 27.50 by 0.2.
5.5
The whole meal is 27.50 + 5.50 + 2.06 = 35.06
Total cost of meal is $35.06.
What is percentage?A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given that,
The bill amount = $27.50
tax amount = 7.5%
tip amount = 20%
Now 7.5 % of bill amount
= 27.50x 7.5/100
= 27.50 x 0.075
=2.0625
≈ 2.06
Now 20% of bill amount is
= 27.50 x 20/100
= 27.50x0.2
= 5.5
Now,
The total cost
= 27.50 + 5.50 + 2.06
= 35.06
Hence $35.06 is the total cost.
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-12 + 7 would it be 5 -19 - 5 or 19
Step-by-step explanation:
-12 +7
=-5 .
Therefore, 5-19-5
= -19.
In all, -12+7 can not be 5-19 or 19
what is the equation of a line that passes through the points -2 -2 and has a slope of four
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 = - 8 + c ⇒ c = - 2 + 8 = 6
y = 4x + 6 ← equation of line
Events A and B are overlapping.
P(A) = 4/11; P(B) = 3/11, P(A and B) =2/11 .
Find P(A or B).
Answer:
5/11
Step-by-step explanation:
Since the events are overlapping...
P(A or B) = P(A) + P(B) - P(A and B)
P(A) = 4/11
P(B) = 3/11
P(A and B) = 2/11
P(A or B) = 4/11 + 3/11 - 2/11
P(A or B) = 5/11
Answer:
5/11
Step-by-step explanation: