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Anit [1.1K]
3 years ago
15

Determine if

ass="latex-formula"> - 8m + 16 is a perfect square trinomial and factor.
Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
M² - 8m + 16 =
m² - 2*4*m + 4² =
(m-4)²
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Write two equivalent fractions
Fynjy0 [20]
I love Algebra so I dont mind answering this. I will start simple: 1/1 and 2/2, 1/2 and 2/4, 1/3 and 2/6. Hope this helped
4 0
4 years ago
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Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0
grigory [225]

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi }  \\V = \frac{1}{\pi } -[40cos\pi  - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

Learn more about mean volatage here:

brainly.com/question/17928028

7 0
3 years ago
Passing through the point (3,-2) and parallel to the line with the equation Y=1/3 x-7
umka21 [38]

Answer:

y = \frac{1}{3} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x - 7 ← is in slope- intercept form

with m = \frac{1}{3}

Parallel lines have equal slopes, thus

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

y = \frac{1}{3} x - 3 ← equation of line

7 0
4 years ago
Monique buys a $4,700 air conditioning system using an installment plan that requires 15% down. How much is the down payment?
klasskru [66]
15% * 4,700  = 0.15 * 4700 =  $705  answer
6 0
3 years ago
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The Canadian labor force as of 2019 was 32.7 million. There were 30.9 million employed What the unemployment rate would be?
Afina-wow [57]

Answer:

The unemployment rate would be 5.5%.

Step-by-step explanation:

It is given that,

The Canadian labor force as of 2019 was 32.7 million.

There were 30.9 million employed

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Unemployed = labor force - employed

= 32.7 - 30.9

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\text{unemployment rate}=\dfrac{\text{unemployed}}{\text{labor force}}\times 100\\\\=\dfrac{1.8}{32.7}\times 100\\\\=5.5\%

So, the unemployment rate would be 5.5%.

8 0
3 years ago
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