Solve for y 5(y 4)-7y=8

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩:

eimsori [14]

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

On its own, this vector points to a single point in space, (-3, -4, -5).

Multiply this vector by some scalar t to get a whole set of vectors, essentially stretching or contracting the vector ⟨-3, -4, -5⟩. This set is a line through the origin.

Now translate this set of vectors by adding to it the vector ⟨-2, -4, 0⟩, which correspond to the given point.

Then the equation for this new line is simply

L(t) = ⟨-3, -4, -5⟩t + ⟨-2, -4, 0⟩ = ⟨-2 - 3t, -4 - 4t, -5t⟩

3 0

3 years ago

How do I answer number 1

AleksAgata [21]

Answer:

#1 Haley is correct and Lacey is incorrect

#2 Kenji is incorrect.

Step-by-step explanation:

#1. x^3 (x^2) = x^5 but this same law doesn't apply to addition of numbers with exponents.

#2 The law of exponents doesn't apply to numbers with different bases that are not multiples of each other such as 3 and 4, so Kenji's simplification is not correct.

7 0

3 years ago

There are 58 students in an art class. The day before class begins, 10.3 percent of the students cancel

jenyasd209 [6]

Answer:10.3% is the percentage of students who cancelled, but the question is asking for the students who are attending, so let's use 89.7% to make it easier. The proportion would be x over 58 is equal to 89.7% over 100%. ... 52 students actually attend the art class, making this your final answer.

Step-by-step explanation:

7 0

3 years ago

Pleaseeee help on question 3 and 5 pleaseeeee wuick thank youuuuuuuuu

elena55 [62]

Answer:

3a, 13cm 5, 1:200

Step-by-step explanation:

In the question 3 you just have to divide all of those numbers with that 5000, maybe also make them cm so it makes more sense. So 650m = 65000cm:5000= 13cm

then for the question 5, make the km to cm, so 4.2km would be 420000cm. Then you have to divide that 420000cm with the 21 cm, so 420000:21= 200. Then the scale should be 1:200

I had difficulties with these as well. If you need extra help with the task 3 please pm me :)

7 0

4 years ago

Using the diagram below, find x.

Serjik [45]

The value of x is 28

Solution:

The approximate image of the question is attached below.

Given data:

The angles of the triangle are x°, (2x + 5)° and (3x + 7)°.

By triangle sum theorem,

Sum of all the angles of the triangle = 180°

x° + (2x + 5)° + (3x + 7)° = 180°

x° + 2x° + 5° + 3x° + 7° = 180°

6x° + 12° = 180°

Subtract 12° from both sides of the equation, we get

6x° = 168°

Divide by 6° on both sides of the equation, we get

x° = 28°

x = 28

The value of x is 28.

4 0

4 years ago