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yanalaym [24]
3 years ago
15

Identify an equation in point-slope form for the line perpendicular to

Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

A. y - 7 = -4(x + 2)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are. In addition, I recall that perpendicular lines have OPPOSITE <em>MULTIPLICATIVE INVERSE </em>[<em>RECIPROCAL</em>] <em>rate of changes</em> [<em>slopes</em>], so -4 really should be replaced with ¼, but if your assignment says otherwise, then this is the answer.

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The function f(x) = 2,500(1 + 0.021/365)365t models the balance in a savings account. Which statement accurately describes the a
belka [17]

Answer:

D

Step-by-step explanation:

If we look at the formula for compound growth and learn what each variable represents, we can solve this problem very easily.

The formula is:

Compound Growth >>  F=P(1+\frac{r}{n})^{nt}

Where

F is the Future Amount (accumulated amount after certain years)

P is the Initial Balance (principal amount)

r is the rate of interest (given in decimal)

n is the number of compounding (if 2, compounded semi annually, 4 means compounded quarterly, 52 means compounded weekly, and 365 means compounded daily)

t is the time in years

Now, the formula given is:

f(x)=2500(1+\frac{0.021}{365})^{365t}

Comparing this with compound growth formula, we see that:

  • 2500 is the initial balance
  • 0.021 * 100 = 2.1% is the interest rate
  • n = 365 means compounded daily

Now, looking at the answer choices, we see that D is the correct choice.

4 0
4 years ago
Describe how the graph of g() is related to the parent function f(x).
sergeinik [125]

Answer:

Adding 3 to the function translates the parent graph 3 units up.

Step-by-step explanation:

Adding 3 to the parent function of any linear equation would result in moving it 3 units upward, this means that g(x) will be 3 units above A(x) when graphed.

8 0
3 years ago
Nancy's garden has the dimensions shown 4 1/2 yard<br><br> 3 3/4 yd . She need find the area
Marina86 [1]

Answer:

The area of Nancy's garden is 16\frac{7}{8}\ yd^{2}

Step-by-step explanation:

I assume that the Nancy's garden is a rectangle shape

To find the area first convert mixed number to an improper fraction

4\frac{1}{2}\ yd=\frac{4*2+1}{2}=\frac{9}{2}\ yd

3\frac{3}{4}\ yd=\frac{3*4+3}{4}=\frac{15}{4}\ yd

Therefore

The area is equal to

A=\frac{9}{2}*\frac{15}{4}=\frac{135}{8}\ yd^{2}

convert to mixed number

\frac{135}{8}\ yd^{2=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ yd^{2}

4 0
4 years ago
A rectangle auditorium seats 1260 people. The number of seats in each row exceeds the number of rows by 12. Find the number of s
Alja [10]

Answer:

Easy, all you ha

Step-by-step explanation:

3 0
3 years ago
Write the number in 2 equivalent forms as a​ fraction, decimal, or percent.
mart [117]

Answer:

0.64,16/25,64%

Step-by-step explanation:

8 0
4 years ago
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