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4 years ago

Use the given conditions to write an equation for the line in point-slope form and general form.

Mathematics

1 answer:

zysi [14]4 years ago

3 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

P (-5, 5)

Parallel to 6x - 5y - 9 = 0

Process

1.- Find the equation of the line

6x - 5y = 9

-5y = -6x + 9

y = -6/-5 x + 9/-5

y = 6/5 x - 9/5

slope = 6/5, as the lines are parallels, the slope is the same.

2.- Get the equation of the new line

y - y1 = m(x - x1)

y - 5 = 6/5 (x + 5)

y - 5 = 6/5x + 6

y = 6/5x + 6 + 5

y = 6/5x + 11 Point-slope form

5y - 25 = 6(x + 5)

5y - 25 = 6x + 30

6x - 5y + 30 + 25 = 0

6x - 5y + 55 = 0 General form

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From the observation deck of a skyscraper, Meena measures a 45 angle of

zvonat [6]

Answer: 1145 ft

Step-by-step explanation:

tan 45=1145/x

x tan45/1=1145

x tan 45/ tan 45= 1145/ tan 45

x= 1145/ tan45= 1145... ≈1145

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3 years ago

In triangle △ABC, ∠C is a right angle and CD is the altitude to AB. Find the angles in △CBD and △CAD if m∠A = 65°

adell [148]

Simple drawing shows that measure interior angle at B is 25 degrees.

Easily seen from a drawing are that measure of angle CBD is 25 degrees, and measure of angle CAD is 65 degrees (which was already given).

Heres the plot formula!

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3 years ago

Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.

Fynjy0 [20]

$\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}$

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

$\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.$

Hence,

$1\frac{23}{40}\ miles\text{ far she live from school.}$

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3 years ago

Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for

Hunter-Best [27]

The samples he chose may not be a representative sample because the number of students per foreign language class may not be the same. One class may have a very large number of students while another may have only a few. Taking equal number of students per class is not a representative sample.<span />

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3 years ago

Read 2 more answers

Factor the expression using the GCF 21+15

Svet_ta [14]

Answer:

3(7+5)

Step-by-step explanation:

21+15

Each term is divisible by 3

3*7 +3*5

3(7+5)

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3 years ago

Use the given conditions to write an equation for the line in​ point-slope form and general form.

Use the given conditions to write an equation for the line in point-slope form and general form.