All categories

3 years ago

Which equation represents a line that has the slope 1/3 and passes through the point (-2,1)

Mathematics

1 answer:

goldenfox [79]3 years ago

3 0

Answer:

y - 1 = (1/3)(x + 2)

Step-by-step explanation:

Here m = 1/3 and (-2, 1) is a point on the line. The appropriate equation is

y - k = m(x - h), where (h, k) is the pt on the line.

Subbing the known values, we get:

y - 1 = (1/3)(x + 2)

You might be interested in

An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle

Natalka [10]

Answer:

Radius of the circle is 15 inches.

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

$\theta = \dfrac{l}{r} ..... (1)$

where $\theta$ is the central angle in radians subtended by arc

$l$ is the length of arc

$r$ is the radius of arc

We are Given the following details:

$l = \dfrac{5\pi}{4}\ inch$

$\theta = 15^\circ$

We know that $\pi \ radians = 180 ^\circ$

Converting $\theta$ to radians:

$\theta =\dfrac{\pi}{180} \times 15$ radians

Putting the values of $\theta$ and $l$ to find the value of $r$

$\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches$

Hence, Radius of the circle is 15 inches.

6 0

2 years ago

X-y=2 x² -7y² = 2 decide the system

olya-2409 [2.1K]

Wish I can help my g

7 0

2 years ago

5(-3y+3z)-3(-5z-y) simplified

Virty [35]

Answer:

5-(-3y+3z)-3(-5z-y) = 6y+12z+5

Step-by-step explanation:

5−(−3y+3z)−3(−5z−y)

Distribute:

=5+3y+−3z+(−3)(−5z)+(−3)(−y)

=5+3y+−3z+15z+3y

Combine Like Terms:

=5+3y+−3z+15z+3y

=(3y+3y)+(−3z+15z)+(5)

=6y+12z+5

8 0

2 years ago

Compute. 6 + 8 × 5 =

castortr0y [4]

using order of operations (PEMDAS) your answer should be 46

you do multiplication before addition.

3 0

3 years ago

Read 2 more answers

Please help me asap

Lera25 [3.4K]

Answer:

Step-by-step explanation:

From the picture attached,

∠4 = 45°, ∠5 = 135° and ∠10 = ∠11

Part A

∠1 = ∠4 = 45° [Vertically opposite angles]

∠1 + ∠3 = 180° [Linear pair of angles]

∠3 = 180° - ∠1

= 180° - 45°

= 135°

∠2 = ∠3 = 135° [Vertically opposite angles]

∠8 = ∠5 = 135° [Vertically opposite angles]

∠5 + ∠6 = 180° [Linear pair of angles]

∠6 = 180° - 135°

∠6 = 45°

∠7 = ∠6 = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠4 + m∠7 + m∠10 = 180°

45° + 45° + m∠10 = 180°

m∠10 = 180° - 90°

m∠10 = 90°

m∠10 = m∠12 = 90° [Vertically opposite angles]

m∠10 = m∠11 = 90° [Given]

Part B

1). ∠1 ≅ ∠4 [Vertically opposite angles]

2). ∠7 + ∠5 = 180° [Linear pair]

3). ∠9 + ∠10 = 180° [Linear pair]

7 0

3 years ago