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vovikov84 [41]
3 years ago
11

Evalu k(t) = 10t – 19 k(-7)=

Mathematics
1 answer:
Ganezh [65]3 years ago
3 0

Answer:

k(-7) =  -89

Step-by-step explanation:

k(t) = 10t - 19

k(-7) = 10*(-7) - 19

k(-7) = -70 - 19 = -89

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If sin theta = 1/3 and tan theta < 0, what is the value of cos theta?
STatiana [176]
If sin Ф=1/3>0 and tan Ф<0; then Ф belongs to the second quadrant and cos Ф will be negative (cos Ф<0).

sin²Ф+cos²Ф=1
(1/3)²+cos²Ф=1
1/9+cos²Ф=1
cos²Ф=1-1/9
cos²Ф=8/9
cos Ф=⁺₋√(8/9)=⁺₋2√2 / 3

We have two possible solutions.
cos Ф=2√2 / 3 This solutions is not possible, because in this case cos Ф has to be negative (cos Ф<0)

cos Ф=(-2√2) / 3 this solutions is right.

answer:B. -2 square root 2 /3    (or    (-2√2) /3  )
5 0
2 years ago
What's times what equals 30
mr Goodwill [35]
 1 x30
2 x 15
3 x 10
5 x 6
8 0
2 years ago
Read 2 more answers
Please answer i need help quick
Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

8 0
3 years ago
Solve for x in the equation 2x^2-4x-9=29
Andrews [41]

Answer:

x = 1  ±2sqrt(5)

Step-by-step explanation:

2x^2-4x-9=29

Add 9 to each each side

2x^2-4x-9+9=29+9

2x^2-4x=38

Divide by 2

2/2x^2-4/2x=38/8

x^2 -2x =19

Complete the square

x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2

x^2 -2x +1 = 19+1

(x-1)^1=2 = 20

Take the square root of each side

sqrt((x-1)^2) = ±sqrt(20)

x-1 =  ±sqrt(20)

Add 1 to each side

x-1+1 = 1  ±sqrt(20)

x = 1 ±sqrt(20)

Simplifying the square root of 20

x = 1  ±sqrt(4)sqrt(5)

x = 1  ±2sqrt(5)

3 0
3 years ago
C an anyone solve this 3(2b + 3)2 = 36<br> and if so what is it
Natali [406]
3(2b + 3)^2 = 36

Divide by 3 on both sides:
(2b + 3)^2 = 12

Square root both sides:
2b + 3=  \pm \sqrt{12}

Take away 3 from both sides:
2b= \pm \sqrt{12} - 3

Divide by 2 on both sides:
b=  \dfrac{ \sqrt{12} -3 }{2}  \ or \ b=  \dfrac{ -\sqrt{12} -3 }{2}

Answer:
b=  0.23 \ or \ -3.23


5 0
2 years ago
Read 2 more answers
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