Answer:
No
Step-by-step explanation:
9=5(-5)-4 is not correct, 5(-5)-4 is actually -29 so no, the coordinates are not a solution to the equation.
Answer:
Step-by-step explanation:
That '5' in f(5x) will compress the graph of x^2 horizontally.
If you were to graph f(x) = x^2, you'd get a parabolic graph; the parabola will open UP.
Suppose you graphed f(x) = x^2 on the interval [-4, 4].
Then the graph of g(x) = f(5x) would be graphed on the interval [-4/5, 4/5]. In other words, the graph would be on a shorter interval, one shorter by a factor of 5.
Answer:
$1.20
Step-by-step explanation:
Ratio:
Grams : Kilograms
1 : .001
Multiply both sides by 20 to convert grams to kilograms:
Grams : Kilograms
1 : .001
x20 x20
20 : .02
This means that 20 grams of lead = .02 kilograms of lead
Price:
Cost : Kilogram
$60 : 1
Multiply both sides by .02 to find the price of the lead:
Cost : Kilogram
$60 : 1
x.02 x.02
$1.20 : .02
Therefore, .02 kg of lead costs $1.20.
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
Answer:
C
Step-by-step explanation:
It would take 90 degree to rotate clockwise so it will take 360-90=270 degree to rotate counterclockwise
