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2 years ago

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

4 0

Answer:

y = 3x - 5

Step-by-step explanation:

Points on given line: (-3, 2), (0, 1)

m1 = slope of given line; m = slope of perpendicular

Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3

The slopes of perpendicular lines have a product of -1.

m1 * m = -1

-1/3 * m = -1

m = 3

Slope of perpendicular: m = 3

Point on perpendicular: (3, 4)

y - y1 = m(x - x1)

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Answer: y = 3x - 5

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Leeza is making labels in the shape of parallelograms each label has an area of 18 square centimeters and a base of 6 centimeter

Alenkinab [10]

Answer:

3cm

Step-by-step explanation:

A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length

Area of a parallelogram = base x height

18cm² = 6cm x height

height = 18cm² / 6cm = 3cm

5 0

2 years ago

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

melisa1 [442]

answer:

y = 114° and x = 120°

step-by-step explanation:

part A:

one inner angle: 51°

second inner angle: (180°-87°) = 93°

third inner angle: (180°-30°) = 150°

fourth, beside y angle: 360° - 150° - 93° - 51° = 66°

then y = 180° - 66° = 114°

part B:

there are 6 sides, so inner angle: (6-2)*180 = 720°

160° + 123° + 107° + 90° + x + x = 720°

2x + 480° = 720°

2x = 720° = 480°

2x = 240°

x = 120°

6 0

2 years ago

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at 5pm two hip started sailing toward each other from ports which were 300 miles apart at average rates of 20 and 25 mes per hou

maw [93]

If the average rates were 20 and 25 miles per hour, then together they cover 45 miles of the distance they are separated by per hour. The ships will be 30 miles apart when 270 miles have been covered, so it takes 270/45=6 hours to cover the distance. 6 hours after 5 PM is 11:00 PM.

7 0

3 years ago

Please i need to know if im correct with these questions

telo118 [61]

Answer: No Solution

Step-by-step explanation:

ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0

ln $(\frac{x}{x + 2})$ = 4

$(\frac{x}{x + 2})$ = e⁴

x = e⁴ (x + 2)

x = 54.5982 (x + 2)

x = 54.5982x + 109.1964

- 53.5982x = 109.1964

x = $\frac{109.1964}{-53.5982}$

x = -2.0373

-2.0373 is not greater than 0 so is not valid

**************************************************************************

Answer: 2.1972

Step-by-step explanation:

eˣ = 9

ln eˣ = ln 9

x = ln 9

x ≈ 2.1972

**************************************************************************

Answer: $\frac{3}{2}$

Step-by-step explanation:

log₂ (3x - 4) = -1

3x - 4 = 2⁻¹

3x - 4 = $\frac{1}{2}$

+4 +4

3x = $4\frac{1}{2}$

3x = $\frac{9}{2}$

$\frac{3x}{3} = \frac{9}{2} * \frac{1}{3}$

x = $\frac{3}{2}$

**************************************************************************

Answer: 1.117519

Step-by-step explanation:

in the calculator, type in 1 ÷ 9.

Then hit the eˣ button.

e¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

rounded to 6 decimal places: 1.117519

6 0

2 years ago

Which one should I choose

shutvik [7]

Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

8 0

2 years ago

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