Answer:
y = 4/3x + 6
Step-by-step explanation:
y = 4/3x + b
2 = 4/3(-3) + b
2 = -4 + b
6 = b
y = 4/3x + 6
Find an equation of the circle that has center (-6, 6) and passes through (3,-4)
Answer:
(x+6)² + (y-6)² = 181
Step-by-step explanation:
equation of the circle in general is (x - a)² + (y - b)² = r²
center is (a, b) in our task a=-6 b=6
so equation of the circle is (x+6)² + (y-6)² = r²
we have point (3,-4) ⇒ x=3 y=-4
put x y in equation of the circle ⇒ (3+6)² + (-4-6)² = r² ⇒r² =181
⇒The equation of a circle is (x+6)² + (y-6)² = 181
Answer:
x²+ y² - 109 = 0
Step-by-step explanation:
The coordinate of centre of circle = (-6 , 6)
Point through which it passes = (3 , -4)
So , Firstly find the distance between the centre and that point that will be equal to the radius . Using Distance Formula we have ,
⇒ D = √ [ ( x - x' )² + ( y + y')² ]
⇒ D = √ [ (3+6)² + (6+4)² ]
⇒ D = √ [ 9² + 10² ]
⇒ D = √ [ 81 + 100 ]
⇒ D = √ 181
⇒ D = 13.45 .
Now substituting the respective values in the general equation of circle .
⇒ ( x - h)² + (y - k)² = r²
Where (h,k) is the centre and r is the radius.⇒ { x - (-6) }² + { y - (6) }² = (13.45)²
⇒ ( x + 6 )² + ( y - 6)² = 13.45²
⇒ x² + 36 + 12x + y² + 36 -12x = 181
⇒ x² + y² + 72 = 181
⇒ x² + y² + 72 - 181 = 0
⇒ x² + y² - 109 = 0
Therefore the equation of the circle is x² + y² - 109 = 0 .how are 12+4y and 4(y+3) equivalent
Answer:
12 + 4y is the simplified version of 4(y+3). When you simplify you need to use the distributive property. So, 4 multiplied by y is 4y. 4 multiplied by 3 is 12. So the answer will be 12 + 4y. Hence, they are equivalent.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
a circle has a diameter of 6.7 feet . which is the closest ??
Answer:
21.038 ft
Step-by-step explanation:
6.7x3.14=21.038
hope this helps
plz can i get brainliest:)
Answer:
if your looking for radius it would be 3.35 if your looking for surface area its 3.14(3.35)^2
Step-by-step explanation:
what is the difference between an irrational number and a rational number
Answer:
Rational numbers are the numbers which are integers and fractions
Irrational numbers are the numbers whose expression as a fraction is not possible.
Step-by-step explanation:
Answer:
Rational is with fractions
Irrational is with expressions
Step-by-step explanation:
Can someone assist me with this?
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y \:} [/tex]
Find the ratio of x to y.
Answer:
29: 7
Step-by-step explanation:
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]
Cross multiply:
[tex]8(x + 3y) = 5(3x - y)[/tex]
Expand bracket:
[tex]8x + 24y = 15x - 5y[/tex]
Bring x terms to 1 side, y terms to the other:
[tex]15x - 8x = 24y + 5y[/tex]
Simplify:
[tex]7x = 29y[/tex]
Divide by 7 on both sides:
[tex]x = \frac{29}{7} y[/tex]
Divide both sides by y:
[tex] \frac{x}{y} = \frac{29}{7} [/tex]
∴ The ratio of x to y is 29:7.
Help I’m struggling so much in math
Solve for X in the triangle
Answer:
x = 6√2
Step-by-step explanation:
This is a right triangle, specifically a 45-45-90 one. Using the Pythagorean Theorem, we get x^2 + x^2 = (12 cm)^2, or:
2x^2 = 144 cm^2, or
x^2 = 72 cm^2.
This comes out to x = 6√2
Que es una equacion de primer grado?
Answer:
Step-by-step explanation:
ax+b = 0
what are the new coordinates called after translating an image? PLSSSS HELP
Answer:
Add image pls ill go check ur prf once you add it with the pic just tell me when you do it if you can.
WILL GIBE BRAINLEST
Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D
Name an angle of
B) 50°
Answer:
∠BFC = 50
Step-by-step explanation:
∠AFC = 90
∠AFB + ∠BFC = 90
40 + ∠BFC = 90
∠BFC = 90 - 40
∠BFC = 50
Answer: B-C
Step-by-step explanation:
I believe it is the angle of B-C becuase B-E is a strieght line which equals 180. Also EFD looks the same as AFB so it is 40. And DFC is 90 becuase of the square. So we take 180-40-90=50. And the only one that is not solved is B-C
What is the answer to this multi step equation 3(x-4)=2(-2x+1)
Answer:
2
Step-by-step explanation:
3(x-4)=2(-2x+1)
3x-12=-4x+2
3x-(-4x)-12=2
3x+4x=2+12
7x=14
x=14/7
x=2
i need help finding DE. I do not know what do to. Please help any tips will be appreciated:))
Given:
In triangle ABC, [tex]AB=11x-25,DE=4x+1[/tex].
To find:
The measure of DE.
Solution:
From the given figure, it is clear that D is the midpoint of AC and E is the midpoint of BC. So, the line segment DE is the mid-segment of the triangle ABC.
According to the triangle mid-segment theorem, mid-segment of a triangle is equal to half of its base.
Using triangle mid-segment theorem, we get
[tex]DE=\dfrac{1}{2}AB[/tex]
[tex](4x+1)=\dfrac{1}{2}(11x-25)[/tex]
[tex]2(4x+1)=11x-25[/tex]
[tex]8x+2=11x-25[/tex]
Isolate the variable terms.
[tex]8x-11x=-2-25[/tex]
[tex]-3x=-27[/tex]
[tex]x=\dfrac{-27}{-3}[/tex]
[tex]x=9[/tex]
The value of x is 9. So,
[tex]DE=4x+1[/tex]
[tex]DE=4(9)+1[/tex]
[tex]DE=36+1[/tex]
[tex]DE=36+1[/tex]
[tex]DE=37[/tex]
Therefore, the length of DE is 37 units.
17.If -4 is zero of the polynomial p(x) = x2
-x-(2k+2) then k =
a) 2 b) 9 c) 3 d) -1
Pls.Answer fast guys thanks!
Answer:
d) -1
hope it help
On Friday, Calvin ate a dinner of one serving of turkey, one cup of brown rice, a cup of milk, a large carrot, and a large banana. How many grams of protein did he eat during dinner? How many milligrams of sodium did he eat during dinner?
Answer:
20.5g in protein
427.55mg in sodium
Step-by-step explanation:
Add the amount or proteins he ate first for all the food he ate, and then the sodium for the food and there is your answer.
Help!! Find the volume of the Cylinder....
Answer:1231.5
Step-by-step explanation:
volume of a cylinder = pie x r^2 x h
pie x 14 x 8 = 1231.5
Each week for 6 weeks, Ezra bought 2 DVDs: a reduced price DVD for $5.50 and a regular price DVD for $9.00. Select all the expressions that represent the total amount he spent on DVDs
Answer:
Total amount spend on DVD = $87
Step-by-step explanation:
Given:
Total number of week = 6 week
Number of DVD purchase per week = 2
Cost of reduced price DVD = $5.50
Cost of regular price DVD = $9
Find:
Total amount spend on DVD
Computation:
Total amount spend each week = Cost of 1 reduced price DVD + Cost of 1 regular price DVD
Total amount spend each week = 5.5 + 9
Total amount spend each week = $14.5
Total amount spend on DVD = Total number of week x Total amount spend each week
Total amount spend on DVD = 6 x 14.5
Total amount spend on DVD = $87
The 10 students in the Environmental Club represent 10% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
100 students
Step-by-step explanation:
10% of students in 7th grade ----- 10 students
Divide by 10 on both sides:
1% of students in 7th grade ----- 10 ÷10= 1 student
×100 on both sides:
100% of students in 7th grade ----- 1 ×100= 100 students
Answer:100
Step-by-step explanation:
The Wheelers’ bill at a restaurant is $63.00. How much total money is Mr. Wheelers' lunch if he plans to tip 15%?
asap besties
we know that
when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them
so
15%=15/100------> 0.15
$63*0.15=$9.45
the answer is
$9.45
Can someone help pls ty
Answer:
225
Step-by-step explanation:
Clockwise turn:
Southeast to South = 45
South to North = 180
Southeast to North = 180 + 45 = 225
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Angles.
The direction angle is :-
180° for South to North + 45° for South East to South
so total change in phase is ==> 180°+45° ==> 225°
hence, C.) option is correct
can someone help me figure out this please ASAP!!!!!
Answer:
Formula: SA= 2B+Ph
This might not be an exact answer but it makes it easier
i need the work for this answer but its blocked for me
Answer:
Sorry it doesn't look like you attached any link for this.
In parallelogram EFGH if m_HEF=25º find m&GHE.
Calculate the value of the unknown angle
Answer:
80+2x=180°{co-interior angle}
2x=180-80
2x=100
x=50°
hope it helps.
6(x + 3) - (x + 4) = -11
Answer: x=-5
Step-by-step explanation:
Distribute
6(x+3)-1(x+4)=-11
6x+ 18-1(x+4)=-11
6x +18-x-4=-11
Subtract the numbers
6x +18-x-4=-11
6x +14-x=-11
Combine like terms
6x +14-x=-11
5x +14=-11
subtract 14 from both sides of the equation
5x +14=-11
5x +=14-14 = -11 -14
simplify
5x=-25
divide both sides
x=-5
Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for $293, how much money does Daniel make in commission?
Answer:
Commission earned= $43.95
Step-by-step explanation:
Giving the following information:
Commission rate= 15% = 0.15
Sales= $293
To calculate the commission earned by selling the laptop, we need to use the following formula:
Commission earned= commission rate*sales
Commission earned= 0.15*293
Commission earned= $43.95
Guys pls help me!!!!!
Answer:
1 ten and 5 ones
Step-by-step explanation:
please help
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Karen has a square rug that covers 76.5^{2} of her living room floor. Which measurement is closest to the side length of thes rug in feet?
Answer:
76.5
Step-by-step explanation:
if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5
Evaluate each using the values given q+q-r(p-q ), use p= -9. q = -4, and r= 9
Answer:
37
Step-by-step explanation:
q + q - r (p - q)
-4 + (-4) - 9[-9 - (-4)]
-8 - 9 (-5)
-8 + 45
37