Answer:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
Step-by-step explanation:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer:
There would be 4 stacks
Step-by-step explanation:
Heres how I did it.
4+4=8
8+4=12
12+4=16
Just keep adding 4 to it.
Answer:
i wanna start a family with you ok
Step-by-step explanation:
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Answer:
a. 17 b. 51
Step-by-step explanation:
Follow Order of Operations (PEMDAS):
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
a. 9 + 4² - (4-2) • 4
9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)
9 + 4² - 2 • 4 ––– 4² (exponents)
9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)
9 + 16 - 8 ––– 9 + 16 (addition)
25 - 8 ––– 25 - 8 (subtraction)
17
b. 15 - 4 + 2(7-3) • 5
15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)
~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.
15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)
15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*
11 + 40 ––– 11 + 40 (addition)
51
