Answer:
z = (2a-3b) = -1
Step-by-step explanation:
Subtract: 2 - 3 = -1
<span>P (0, 0) across x = -3 will change the x value. From 0 to -3 which is 3 units down, so the reflection will be another 3 units down ( points are the same distance from the reflection line) so the new x-value is -6 now just do the same thing for the y-value and you will get an image of P¹ ( -6, -6 ) </span>
She worked 9 hours at baby-sitting and 6 hours at her parents store.
Step-by-step explanation:
Let,
Baby-sitting hours = x
Hours at parents store = y
Total hours = 15
Amount earned = $93
According to given statement;
x+y=15 Eqn 1
5x+8y=93 Eqn 2
Multiplying Eqn 1 by 5;
Subtracting Eqn 3 from Eqn 2;
Dividing both sides by 3;
Putting y=6 in Eqn 1
She worked 9 hours at baby-sitting and 6 hours at her parents store.
Keywords: linear equations, subtraction
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Answer:
The answer should be .25
Step-by-step explanation:
The answer should be .25 because:
- there are 4 places you can score and since you want it to land on 5 and there is only one 5 it counts as a 1
- the since there are 4 in total and you want to land on 1 you get 1/4 the number one standing for there only being one 5 and the 4 standing for the number of places to land on.
-then you convert the 1/4 into a decimal which makes .25
using the ratio, the length of the sides are:
25x + 14x + 12x = 170
51x = 170
x = 170 / 51
x = 3 1/3
The lengths of the sides are: 25 * 3 1/3 = 83 1/3 feet
14 x 3 1/3 = 46 2/3 feet
12 x 3 1/3 = 40 feet
Using Heron's formula
the semi perimeter (S) = 170/2 = 85 ft.
The area of the triangle = SQRT(S*(S-83 1/3) * (S - 46 2/3) * (S-40))
= SQRT (85 * (85-83 1/3) * (85 - 46 2/3) * (85-40)
= SQRT (85 * 1 2/3 * 38 1/3 * 45)
= SQRT(244374)
= 494.34 square feet ( round answer as needed).
