Answer:
(x - 2)^2 + (y + 2)^2 = 100
Step-by-step explanation:
We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.
Then the radius of this circle will be the distance between (2, - 2) and (-4, 6)
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between (2, - 2) and (-4, 6) is:
[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]
Then the radius of the circle is R = 10
and we know that the center is (2, -2)
the equation for this circle is then:
(x - 2)^2 + (y - (-2))^2 = 10^2
(x - 2)^2 + (y + 2)^2 = 100
A number is multiplied by 2, and then 5 is subtracted. The result is 43.
Answer: The answer is 7.
log (sqrt(xy))/z is equal to
a) 1/2 logx + 1/2 logy - logz
b) 1/2 logx + logy - logz
c) 1/2 (logx + logy - logz)
d) 1/2 log xy/ logz
Answer:
A) [tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Step-by-step explanation:
[tex]log\frac{\sqrt{xy}}{z}[/tex]
[tex]log\sqrt{xy}-log(z)[/tex]
[tex]log(xy)^\frac{1}{2}-log(z)[/tex]
[tex]\frac{1}{2}log(xy)-log(z)[/tex]
[tex]\frac{1}{2}(log(x)+log(y))-log(z)[/tex]
[tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]
Therefore, A is correct
help help help help help
Step-by-step explanation:
press the picture to see the answer I swear it has a solution too
30 points What's the area below
Answer:
213
Step-by-step explanation:
(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9
=213
Answer:
Step-by-step explanation:
Ggg
Car price $118,191
Percent for car loan: 2.49%
36 months
Find monthly payment show work
Answer:
3410.64
Step-by-step explanation:
Gonna assume that the 2.49 is the APR
present value of the loan= present value of the payments
effective rate: .0249/12= .002075
x= payment
[tex]118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317[/tex]
Using the quadratic formula to solve x = 5-x, what are the values of x?
Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70
Answer:
The number which is more than 6 and less than 8 is 7.
Step-by-step explanation:
There are the natural numbers.
To find the number which is more than 6 but less than 8.
The numbers which are more than 6 are 7, 8, 9, 10, ....
The numbers which are less than 8 are ...,3, 4, 5, 6, 7
So, the number which is more than 6 and less than 8 is 7.
solve for X. Round to the nearest tenth, if necessary.
Answer:
x=50.7
Explanation
90+38+x+1.3=180
90+38
Add these numbers
=128
128+x+1.3=180
128+x+1.3
Add these numbers
128+1.3=129.3
129.3+x
129.3+x=180
129.3+x
sort elements
x+129.3=180
129.3
convert this to a fraction
1293/10
x+1293/10=180
x+1293/10=180
Move each term from the right to the left side and change a sign of every element
x+1293/10-180=0
x+1293/10-180
subtract these number
1293/10-180=1293/10-1800/10
=-507/10
x-507/10=0
f (x)=x-507/10
a=1
b=-507/10
x-507/10=0
move each number from the left a the right side and change a sign of every element
x=507/10
therefore x=50.7
Sam took a total of 12 tests over the course of 6 weeeks if the continued to take tests at the same rate how many tests will Sam have taken after 28 weeks of school
Answer:
56 tests
Step-by-step explanation:
first find the amount of test he took each week. if we divide 12 by 6 (12 ÷ 6 = 2) we find out that he took 2 tests per week.
So if he continues with the same rate for the next 28 weeks of school, in order to find out how many tests he would have taken, we just need to multiply 28 by 2 (28 × 2 = 56), which will be equal to 56
hope this helps! if you have any questions, let me know!
3^8 times 3^2, using properties of exponents
Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]
Which equation has the same solution as x2 + 16x + 13 = 0?
(x+4)^2=21
Hope this helps ;)
Select the correct answer.
Convert (6,150°) to rectangular form.
Answer:
A
Step-by-step explanation:
basta letter A sagot dyan
-0,05.[tex]\sqrt{28800}[/tex]
Answer:
-8.4855
Step-by-step explanation:
[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]
I will give brainliest please help!
Answer:
40/5 = 8 per hour
Hope this helped :)
Find the volume of the composite figure
Answer:
540m^3
Step-by-step explanation:
find volume of top + volume of bottom
bottom: l*w*h = 16*5*4 =300 m^3
top = area of side times width = area of triangle times width
area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2
multiply by width = 48*5=240m^3
add top and bottom = 300+240=540m^3
what would be the best first step in solving this system?
Answer:
B. substitute for X in first equation
in what ratio we increase 900 to get 1200
Answer:
4:3
Step-by-step explanation:
Let's say that the number we multiply to get to 1200 from 900 is x.
900x=1200
Now, we divide both sides by 900:
x=1200/900
x=4/3
The number is 4/3. In ratio form, this is 4:3
Answer:
3 : 4
Step-by-step explanation:
900 : 1200
= 30 x 30 : 30 x 40
= 30 : 40
= 3 x 10 : 4 x 10
= 3 : 4
solve for x, show work please!! 20 points.
Step-by-step explanation:
Here,
13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]
=> 13x - 11x = 15 + 5
=> 2x = 20
[tex] = > x = \frac{20}{2} [/tex]
=> x = 10 (Ans)
-5,2 translated 2 two units left and one unit up
Answer:
(-7, 3)
Step-by-step explanation:
You already said the point of C is (-5, 2)
Now all we simply do is change the values of each X and Y value respectively.
When moving to the left, the value is subtracted for X.
When moving up the value is added to Y.
-5-2 = -7
2+1 = 3
Answer:
It is going to be -7;3 as I can see on the picture you sent the answer is the first option.
Use the formula A=bhto find the area of the parallelogram.
2.1 m
6.3 m
Answer:
A = 13.23 m²
Step-by-step explanation:
A = bh
Where,
A = area of the parallelogram
b = base of the parallelogram
h = height of the parallelogram
From the question, assume
b = 2.1 m
h = 6.3 m
A = bh
= 2.1 m × 6.3 m
= 13.23 m²
A = 13.23 m²
Find the x-intercept of the rational function.
Answer choices:
A.) (0,-2)
B.) (-2,0)
C.) (0,5)
D.) (5,0)
please help giving brainly and points :)
Answer:
A)-4,-5
B)4,5
Step-by-step explanation:
Please help me I really need help
771.05 m³ is tge answer brudah !!
Can units subtract themselves in mathematics? Example is cm²-cm =cm? / m³-m =m²?
Answer:
No, they cannot be added or subtracted.
Step-by-step explanation:
According to the homogenity of units and dimensions, the quantities of the same units and dimensions are added or subtracted only.
So, the quantities of different units and dimensions can not be added or sutracted.
So,
[tex]cm^2 - cm = notdetremined[/tex]
Kira looked though online census information to determine the average number of people living in the homes in her city
First we need to identify if the data is qualitative or quantitative.
The data is average number of people living in the homes.
Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.
Since the average number of people can be counted and measured, the data is Quantitative.
In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.
Therefore, the correct answer will be:Kira used published data that is quantitative.
Source: i found it in another brainly question which was the same as your question and was expert verified so i hope this helped
The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.
Find the equation of a line with a slope of -9, passing through the point (1, -3). Enter
this equation in slope/y-intercept form in the blank
Answer:
y=-9x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-9(x-1)
y+3=-9(x-1)
y=-9x+9-3
y=-9x+6
The box plots show the basketball scores for two teams.
Answer:
C
Step-by-step explanation: A.P.E.X
Which expression represents this word phrase? eight less than the quotient of x and 3
A: х/3 - 8
B: X - 8/3
C: 3x - 8
D: 8 - x/3
Answer:
Step-by-step explanation:8 less means you will be subtract 8 from another number. The quotient of x and 3 is gotten by dividing x by 3 or x/3.
find the area of a semicircle whose radius is 2.4 cm
Answer:
[tex] 9.0432 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of semicircle
[tex] = \frac{1}{2} \pi \: {r}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times {(2.4)}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times 5.76 \\ \\ = \frac{1}{2} \times 18.0864 \\ \\ = 9.0432 \: {cm}^{2} [/tex]
Answer:
Area of semi circle = 9.05 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ semi - circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi (2.4)^2 = 9.047 = 9.05 \ cm^2[/tex]