Answer:
(-5, 2)
Step-by-step explanation:
<u>plug x into the equation x - 5y = -15</u>
-5 - 5y = -15
add 5 to both sides: -5y = -10
divide by -5: y = 2
Answer:
6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.
7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.
9) x = 20
m < A = 65
m < B = 25
Step-by-step explanation:
9)
3x + 5 + 2x - 15 = 90
3x + 2x + 5 - 15 = 90
5x - 10 = 90
5x - 10 + 10 = 90 + 10
5x = 100
5 / 5x = 100 / 5
x = 20
A = 3x + 5
A = 3(20) + 5
A = 60 + 5
A = 65
B = 2x - 15
B = 2(20) - 15
B = 40 - 15
B = 25
Answer:
The answer to your question is 25 ft
Step-by-step explanation:
Data
height = 20 ft
leg = 15 ft
length of the line = ?
To solve this problem use the Pythagorean theorem.
Height = short leg = b
leg = long leg = a
length of the line = hypotenuse = c
- Substitution
c² = (20)² + (15)²
-Simplification
c² = 400 + 225
c² = 625
-Result
c = 
c = 25 ft
Answer:
It'll take him 1/4 hours to decorate the two signs.
Step-by-step explanation:
In order to know how long Roberto will take to decorate all the signs we need to find their surface area, since they're rectangular their area is given by the product of their dimensions.
First sign:
area1 = (2/3)*(1/4) = 2/12 = 1/6 foot²
Second sign:
area2 = (1/2)*(1/3) = 1/6 foot²
The total area he has to paint is the sum of their individual areas, so we have:
total area = area1 + area2 = 1/6 + 1/6 = 2/6 = 1/3 foot²
To find out how long he'll take to decorate this area we can use a rule of three as shown bellow:
3/4 hour -> 1 foot²
x hour -> 1/3 foot²
x = (3/4)*(1/3) = 1/4 hours
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
