Answer:
12 and 13
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
Answer: (24,-9)
(0,9)
(4,6)
Step-by-step explanation:
3x + 4y = 36
Using (3,-2) will be:
= 3(3) + 4(-2)
= 9 - 8 = 1
Using (1,7) will be
= 3(1) + 4(7)
= 3 + 28 = 31
Using (0,0) equals to 0
Using (24,-9) will be:
= 3(24) +4( -9)
= 72 - 36 = 36
Using (0,9) will be:
= 3(0) + 4(9)
= 0 + 36 = 36
Using (4,6) will be:
3(4) + 4(6)
= 12 + 24
= 36
Using (-12,18) will be:
= 3(-12) + 4(-18)
= -36 - 72
= -108
The correct options are (24,-9), (0,9 and (4,6)
Answer:
see below
Step-by-step explanation:
9 ^-5 * 9^-3
When multiplying these we ADD the exponents:
9^-5 * 9^-3
= 9^(-5 + -3)
= 9 ^-8
= 1/9^8 Option A
2. 2^14 / 2^7 This is a division so we SUBTRACT the exponents:-
= 2^(14 - 7)
= 2^7 (answer)
3. If the triangle is a right angled one then it will obey Pythagoras Theorem so:-
13^ = x^2 + 5&2
x^2 = 13^2 - 5^2
x^2 = 144
x = 12 (answer)
4. The last choice is a crucial step.
The total area of the triangles is the same in both large squares so the area of the large square e^2 = a^2 + b^2 ( the 2 squares in the left side large square).
<u>Shape #1: A square.</u>
Every side is 4 units long.
The perimeter is 16 units.
The area is <em>16 </em>square units.
<u>Shape #2: A rectangle.</u>
The length is 7.9 units.
The width is 0.1 unit.
The perimeter is 16 units.
The area is <em>0.79</em> of a square unit.
<u>Shape #3: A circle.</u>
The diameter is (16/π) units. (about 5.093 units)
The perimeter (circumference) is 16 units.
The area is (64/π) square units. (about <em>20.37</em> square units)
Answer:
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