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3 years ago

15

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

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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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Korolek [52]

Answer:

$\displaystyle \boxed{y = -1\frac{1}{3}x + 22}$

Step-by-step explanation:

<em>Parallel</em><em> </em><em>Equations</em><em> </em>have SIMILAR <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so keep $\displaystyle -\frac{4}{3}$ as is and do this:

14 = −4⁄3[6] + b

14 = −8 + b

+ 8 + 8

_________

$\displaystyle 22 = b \\ \\ y = -1\frac{1}{3}x + 22$

I am joyous to assist you at any time.

4 0

3 years ago

- You study 4 hours per day and are in class 6 hours

deff fn [24]

Answer:

2/3

Step-by-step explanation:

Initially it would be 4/6 which you can simplify as 2/3

7 0

3 years ago

snow_tiger [21]

Answer:

$70.59

Step-by-step explanation:

15% of $83.05 = 12.4575
$83.05 - $12.4575 = $70.59

I hope this helps!

4 0

3 years ago

Read 2 more answers

Denali is making curtains for her room. She needs 12 feet of fabric for one curtain and 16 feet for the other. The fabric store

sineoko [7]

12 feet + 16 feet= 28 feet needed

The store does not have enough fabric.

There are 3 feet in a yard.
8 yards * 3 feet= 24 feet of fabric available

4 0

3 years ago

A newborn child receives a $20,000 gift toward college education from her grandparents. How much will the 20,000 be worth in 17

Alexus [3.1K]

Answer:

The amount the $20.000 will be worth in 17 years at compound interest is $65068.443

Step-by-step explanation:

Here we have the Principal, P = $20,000.00

The annual interest rate, r = 7% = 0.07

Time , t = 17 years

Number of compounding period per year, m = quarterly = 4

The compound interest can be found from the following formula;

$Amount, \ A = P \left (1 + \frac{1}{r} \right )^{mt}$

Therefore, by plugging the values of the equation parameters, we have;

$Amount, \ A = 20000 \left (1 + \frac{0.07}{4} \right )^{4 \times 17} = \$ 65068.443$

Therefore, the amount the $20.000 will be worth in 17 years at compound interest = $65068.443.

7 0

3 years ago