Answer:
4y + 48 - 16x = 0 ~Solve for y~
4y = -48 + 16x
y = -12 + 4x
The slope is 4.
We'll use the point (1, 4) and m = 4.
Plug these into the equation: y - y1 = m(x - x1)
y - 4 = 4(x - 1)
y - 4 = 4x - 4
y = 4x
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
PEMDAS = Please Excuse My Dear Aunt Sally
Answer:
121 books
Step-by-step explanation:
bc that equals 11 so there are 11 squares plus the two missing ones from before so u do 11x11 which would be 121
hope this helps :>
There isn't enough info to prove the triangles to be congruent or not. So we can't say for sure either way.
We have angle CAD = angle ACB given by the arc markings, and we know that AC = AC due to the reflexive theorem. However we are missing one third piece of information.
That third piece of info could be....
- AD = BC which allows us to use SAS
- angle ACD = angle CAB which allows us to use ASA
- angle ABC = angle CDA which allows us to use AAS (slight variation of ASA)
Since we don't know any of those three facts, we simply don't have enough information.
side note: If AB = CD, then this leads to SSA which is not a valid congruence theorem. If we had two congruent sides, the angle must be between the two sides, which is what AD = BC allows.
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm