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Gala2k [10]
2 years ago
5

Please help find the value of the trig function indicated

Mathematics
1 answer:
LiRa [457]2 years ago
3 0
Sec of theta = 3/4

I need more clarification on this are you looking for the ratio or the actual value?
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Question is in the image
Lubov Fominskaja [6]
The answer is A, The intersection point is (-5,3) and the equation of the graphs are y = x + 8 and x + y = -2
5 0
3 years ago
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj,u
11Alexandr11 [23.1K]

Answer:

Take b = \frac{-17}{25}(7,1) as the projection of u onto v and w \frac{1}{25}(-31,217) as the vector such that b+w =u

Step-by-step explanation:

The formula of projection  of a vector u onto a vector v is given by

\frac{u\cdot v}{v\cdot v}v, where cdot is the dot product between vectors.

First, let b ve the projection of u onto v. Then

b = \frac{u\cdot v}{v\cdot v}v= \frac{-6\cdot 7+8\cdot 1}{7\cdot 7+1\cdot 1}(7,1) = \frac{-34}{50}(7,1) = \frac{-17}{25}(7,1)

We want a vector w, that is orthogonal to b and that b+w = u. From this equation we have that w = u-b = (-6,8)-\frac{-17}{25}(7,1)= \frac{1}{25}(-31,217)[/tex]

By construction, we have that w+b=u. We need to check that they are orthogonal. To do so, the dot product between w and b must be zero. Recall that if we have vectors a,b  that are orthogonal then for every non-zero escalar r,k the vector ra and kb are also orthogonal. Then, we can check if w and b are orthogonal by checking if the vectors (7,1) and (-31, 217) are orthogonal.

We have that (7,1)\cdot(-31,217) = 7\cdot -31 + 217 \cdot 1 = -217+217 =0. Then this vectors are orthogonal, and thus, w and b are orthogonal.

5 0
2 years ago
Evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)
lions [1.4K]

Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

7 0
3 years ago
Read 2 more answers
The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths ar
stira [4]

Answer:

I need this tooo, did u find it??

Step-by-step explanation:

5 0
3 years ago
1a) Your brother has saved $2,000 for vacation. If his airplane ticket costs $600, and his hotel room costs $200 per day, write
ASHA 777 [7]

Answer:

7 days

Step-by-step explanation:

2000-600 is 1400.

1400/200 is 7

2000=200x+600

x=7

6 0
3 years ago
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