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2 years ago

Write a linear equation for a line that passes through (0, 0) and m = -2.

Mathematics

1 answer:

nadezda [96]2 years ago

8 0

Answer:

D. y=-2x

Step-by-step explanation:

A linear equation is y=mx+b. M is given as -2. Because the line passes through (0,0), it crosses the y axis at 0.

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Emelia measures the weight of a rock to be 30 grams. The actual weight of the rock is 24 grams. Determine Emelia's percent error

Shalnov [3]

Answer: 25%

Step-by-step explanation:

Given

Emelia measures the weight of the rock to be 30 gm

The actual weight was 24 gm

Percentage error is given by

$\Rightarrow \dfrac{\text{Deviation }}{\text{Actual value}}\times 100$

Insert the values

$\Rightarrow \dfrac{30-24}{24}\times 100\\\\\Rightarrow \dfrac{6}{24}\times 100\\\\\Rightarrow 25\%$

Therefore, the percentage error is 25%.

6 0

3 years ago

A park has 22 elm trees. Elm leaf beetles have been attacking the trees. After removing several of the diseased trees, there are

serg [7]

Answer: 9 elm trees were removed.

Step-by-step explanation:

Let x represent the number of elm trees removed.

The total number of elm trees in the park is 22. Elm leaf beetles have been attacking the trees. After removing several of the diseased trees, there are 13 healthy elm trees left. The equation to find the number of elm trees that were removed would be

x + 13 = 22

Subtracting 13 from the left hand side and the right hand side of the equation, it becomes

x + 13 - 13 = 22 - 13

x = 9

3 0

3 years ago

Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

ioda

Answer with explanation:

For any object having the velocity vector as

$\overrightarrow{v}=v_x\widehat{i}+v_y\widehat{j}+v_z\widehat{k}$

the magnitude of velocity is given by

$|v|=\sqrt{v_x^2+v_y^2+v_z^2}$

For car 1 the velocity vector is

$\overrightarrow{v}_1=20\widehat{i}+25\widehat{j}$

Therefore

$|v_1|=\sqrt{20^2+25^2}\\\\\therefore v_1=32.0156units$

Similarly for car 2 we have

$\overrightarrow{v}_2=30\widehat{i}$

Therefore

$|v_2|=\sqrt{30^2}\\\\\therefore v_2=30.0units$

Comparing both the values we find that car 1 has the greater speed.

7 0

3 years ago

A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag

joja [24]

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)

y = √(61 - 25)

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0

2 years ago

On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphe

Verizon [17]

Answer:

{3,-2}

Step-by-step explanation:

ITS CORRECT

7 0

3 years ago

Read 2 more answers