Answer:
Step-by-step explanation:
Its not a function. The reason its not a function is because it doesnt pass the vertical line test. You could graph these points physically or you could think about it. The domain is the x value, while the range is the allowed y values. So by having the same x value relate to two different y values, just makes no sense. Imagine the function is x+4 and we are given in that graph that when x equals 6, the y equals 9 and 10. That isnt possible because we know the answer is 10, not 9, it cant be both.
Another way you could prove this is by graphing. If you try to take the slope in that interval where 6 coorelates to two y values. The change in y is 1, but the change in x is 0. When you divide 1/0, your calculator blows up. Try it
Answer:
35 bricks for $25.90
35 bricks for $25.90
230 bricks for $170.2
Step-by-step explanation:
Cost per brick = number of bricks / price of bricks
1500/$1110 = $1.35
1300 / $845 = $1.54
230 / $170.20 = $1.35
100 / $75 = $1.33
35 / $25.90 = $1.35
Based on these calculations, the bricks that have the same cost per brick are :
35 bricks for $25.90
35 bricks for $25.90
230 bricks for $170.20
Answer:
1/3
Step-by-step explanation:
add all of the totals including the missing pair
we now have 24
7+1 is 8
24 minus 8 is 16
24 can be split into 2 groups of 8
and we have 2/3 left. which makes our solution 1/3
Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
To find the slope (m), use the slope formula:
and plug in the two points
(4, -4) = (x₁, y₁)
(6, -6) = (x₂, y₂)
[lines usually go from left to right, so the point furthest to the left is the 1st point]
[two negative signs cancel each other out and become positive]
m = -1
