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 .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.
In parallelogram EFGH if m_HEF=25º find m&GHE.
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
please help
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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
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
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 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:
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
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.
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 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.
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.
WILL GIBE BRAINLEST
Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D
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
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
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
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 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
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.
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
Help I’m struggling so much in math
Que es una equacion de primer grado?
Answer:
Step-by-step explanation:
ax+b = 0
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:
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
Calculate the value of the unknown angle
Answer:
80+2x=180°{co-interior angle}
2x=180-80
2x=100
x=50°
hope it helps.
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!
Guys pls help me!!!!!
Answer:
1 ten and 5 ones
Step-by-step explanation: