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Mrrafil [7]
3 years ago
11

Solve i + j + t (3i - j) = -i + s (j) In the context of Vector Equations of a Line

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

r = i + j + (-2/3)(3i - j)

Step-by-step explanation:

Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant

if a = i + j ; b = t(3i - j) and r = -i +s(j)

for this to be true all the vector components must be equal

summing i 's

i + 3ti  = -i; then t = -2/3

j - tj = sj; then s = 1-t; substitue t; s=1+2/3 = 5/3

so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j

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determina la medida de cada uno de los angulos del triángulo ABC si se conoce que (3x+1)° (3x+4)° y (2x-1)°​
Triss [41]

Answer:

∠A=67°

∠B=70°

∠C=43°

Step-by-step explanation:

<u><em>The correct question in English is</em></u>

Determines the measurement of each of the angles of the triangle ABC if it is known that A=(3x+1)°,B=(3x+4)° and C=(2x-1)°.

we know that

The measure of the interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

substitute the given values

(3x+1)\°+(3x+4)\°+(2x-1)\°=180\°

solve for x

(8x+4)\°=180\°

8x=180-4

x=22

Find the measure of each angle

∠A=(3(22)+1)=67°

∠B=(3(22)+4)=70°

∠C=(2(22)-1)=43°

6 0
3 years ago
For the polynomial function ƒ(x) = x4 − 16x2, find the zeros. Then determine the multiplicity at each zero and state whether the
ddd [48]
Our function f(x) can be rewritten if we factor out a common x^2 from each term:
f(x) = x^2(x^2-16)
Now inside the parentheses we have a polynomial of the form a^2 - b^2, or the difference of two perfect squares, which can be factored as (a+b)(a-b) so we have:
f(x)=x^2(x-4)(x+4)
Setting our function equal to zero gives us the roots x = 0, x = 4, and x = -4.
The multiplicity of the root zero is two since it occurs twice, and the others are one since they occur only once. If you graph the function you can see that it will only touch the x-axis at x = 0, but will cross the x-axis at x = 4 and x = -4.
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Radda [10]

Answer:

Domain: ( -∞ , ∞ )
Range: ( -∞ , 4 ]

Step-by-step explanation:

Hi there!

The domain tells us the possible x-values of a function. Because there are arrows at the end of each side, it means the graph is travelling infinitely to both the left and the right side. This means the the domain is all real numbers, meaning that for any value of x, there is a real value for y.

( -∞ , ∞ )

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I hope this helps!

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