a.
a^2 + b^2 = c^2
The legs are a and b. c is the hypotenuse.
Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y
The equation is:
(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2
b.
Now we square each binomial and combine like terms on each side.
36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2
36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2
100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2
The two sides are equal, so it is an identity.
Answer:
4 balloons
Step-by-step explanation:
3:6= 1:2
2*3= no. of guest, 1*3= no. of balloons
SO
2*4 (8)= number so guests, and 1*4 (4)= number of balloons
Answer:
Lin has 11 acorns ⇒ answer D
He subtract 4 from 7 instead of add 4 to 7
Step-by-step explanation:
- Lin has 4 pinecones and some acorns
- She has 7 fewer pinecones than acorns
- The meaning of 7 fewer pinecones than acorns is the number of the
pinecones is less than the number of acorns by 7
∵ She has 4 pinecones
∵ She has 7 fewer pinecones than acorns
- The number of pine cones is less than the number of acorns by 7
∴ 4 = number of acorns - 7
- Add 7 to both sides
∴ 11 = number of acorns
*<em> Lin has 11 acorns</em>
- Tom choose answer A which is 3
- He made a mistake in the equation
- He put ⇒ number of the acorns = 7 - 4 not 7 + 4
∴ number of acorns = 3
* <em>He subtract 4 from 7 instead of add 4 to 7</em>
Well lets start by getting y. We already know that all angles of a triangle will equal 180 degrees.
Therefore we know that 65 + 65 + y = 180. To solve for y we just add the two 65's then subtract that from 180
y = 180-130 = 50 Therefore y = 50
Now lets solve for x. We know that since angle B is flat it is equal to 180. The unknown value of angle B = 180 - 65
Therefore that unknown value = 115
As we previously stated all angles of a triangle equal 180. We can now come up with this equation: 115 + x + x = 180
2x = 65
x = 32.5
<span>Hope this helps! If you have anymore questions just ask!</span>
Answer:
x=20
Step-by-step explanation:
I hope this helps. Sorry if i'm wrong.
