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romanna [79]
3 years ago
15

Find the values of k so that the slope of he line joining (5,k) and (6,k^2) is 30.

Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

\frac{{k }^{2} - k }{6 - 5}  = 30
{k}^{2}  - k = 30
{k}^{2}  - k - 30 = 0
(k - 6)(k  + 5) = 0
k = 6 \: or - 5
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For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
andrew-mc [135]
<h3>Answer</h3>

Given in the question the equation

y = x² - 2x + 6

Name

a quadratic polynomial or a polynomial of degree 2

Ind. var

An input value of function is the independent value = x

Dep. var

The output value of function is the dependent value, as it depends on the value of the input = y

Rule

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Evaluation

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4 0
3 years ago
The answers in my textbook show that using Soh Cah Toa is not right. Unless I'm doing it wrong. Can someone help me please?
Fiesta28 [93]

Answer:

(a) α = 60°, β = 30°

(b) α ≈ 67.4°, β ≈ 22.6°

Step-by-step explanation:

I'll do (a) and (b) as examples.  Make sure your calculator is set to degrees, not radians.

(a) For α, we're given the opposite and adjacent sides, so use tangent.

tangent = opposite / adjacent

tan α = √300 / 10

tan α = √3

α = 60°

Since angles of a triangle add up to 180°, we know that β = 30°.  But we can use tangent again to prove it:

tan β = 10 / √300

tan β = 1 / √3

tan β = √3 / 3

β = 30°

(b) For α, we're given the adjacent side and the hypotenuse.  So use cosine.

cos α = adjacent / hypotenuse

cos α = 15 / 39

cos α = 5 / 13

α ≈ 67.4°

Again, we know that β = 22.6°, but let's show it using trig.  We're given the opposite side and hypotenuse, so use sine:

sin β = 15 / 39

sin β = 5 / 13

β ≈ 22.6°

8 0
3 years ago
What is the value of w?
natulia [17]
This on is very easy go to my website so i can explain it better for you

 <span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w 
</span>
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4 years ago
An angle measures 36° more than the measure of a complementary angle. what is the measure of each angle?
nexus9112 [7]
An acite becaues it lowers than the others
6 0
4 years ago
What is the solution of two thirds x=12
joja [24]
Hi there!

To solve this problem, we need to simplify. 

2/3x = 12

To isolate x, we should multiply both sides of the equation by the reciprocal of 2/3 to make x equal to a value:

Reciprocal of 2/3 = 3/2

x = 12 * 3/2
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Hope this helps!
8 0
3 years ago
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