Answer:
11.1d + 3.2h - 15
Step-by-step explanation:
Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.
Find slopes of these lines.
-4x-5y=-4
-4x+4 =5y
Divide by 5
Y= -4x/5 +4/5
Second line: 10x-8y=-1
10x+1=8y
Divide by 8
10x/8 +1/8 =y
Y= 5x/4 +1/8
So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
Unit rates are easy you just take the first number and divide it by your second
15 divided by 5 is = 3
75 divided by 25 is = 3
80 divided by 4 is = 20
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Have a amazing day
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!
Answer:
The answer is C) - |x - 2| + 3 = 0
Step-by-step explanation:
a) - |x - 2| + 3 > 0
The greater than means something above the graph.
b) - |x - 2| + 3 < 0
The less than means something below the graph.
c) - |x - 2| + 3 = 0
The zero doesn't do anything.
y = - a |x - h| + k = 0
(h,k) is the origin.
h is shift left/right, h = 2 so shift right 2.
k is shift up/down, k = 3 so shift up 3.
The a, affects the y-values which cause the graph to reflect across the x-axis.
