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SpyIntel [72]
3 years ago
11

6x +2y<12 identify the slope (n) and y-intercept (b)

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0
Y intercept is 6 and the slope is -3
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Solve for the missing length and the other two angles in the triangle below.
Lisa [10]

The triangle is missing, so i have attached it.

Answer:

1) 3rd side = 12.92

2)angle C = 82°

3)angle B = 44°

Step-by-step explanation:

1) To find the missing 3rd side which is opposite to angle A, using cosine rule, we have

a² = b² + c² - 2bc•cosA

From the image,

b = 7.4 and c = 15.8 while A = 54°

Thus,plugging in relevant values ;

a² = 7.4² + 15.8² - 2(7.4*15.8)•cos54

a² = 54.76 + 249.64 - 137.45

a² = 166.95

a = √166.95

a ≈ 12.92

2) Using sine rule, we can find angle C.

Thus,

a/sinA = c/sinC

So, sin C = (c*sinA)/a

c = 15.8

a = 12.92

A = 54°

Plugging in the relevant values;

sin C = (15.8*sin54)/12.92

sin C = 0.98936

C = sin^(-1)0.98936

C ≈ 82°

3) to get angle B, we know that sum of angles in a triangle = 180.

Thus,

A + B + C = 180

So,54 + B + 82 = 180

B + 136 = 180

B = 180 - 136

B = 44°

3 0
3 years ago
What is the slope of a line that passes through (0,5) and (-3,-4)
Marina86 [1]

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 3, - 4)

m = \frac{-4-5}{-3-0} = \frac{-9}{-3} = 3

8 0
3 years ago
Allison can complete a sales route by herself in 6 hours. working with an associate, she completes the route in 4 hours. How lon
allsm [11]
We know that
if <span>Allison can complete a sales route by herself in 6 hours
then
100% of the sales route---------------> 6 hours
x%--------------------------> 1 hour
x=100/6-----> x=16.67%/hour


Allison </span><span>working with an associate, she completes the route in 4 hours
</span>then 
100%------------------> 4 hours
x%----------------> 1 hour
x=100/4-----> x=25%

An associate in 1 hour complete-------> 25%-16.67%----> 8.33%
then
 an associate complete in 1 hour--------> 8.33%
 x hour--------------------------> 100%
x=100/8.33-----> x=12 hours

the answer is
12 hours

4 0
4 years ago
Read 2 more answers
What is the true solution to 2 In 4x= 2 In 8?
Rzqust [24]

Answer:

2

Step-by-step explanation:

2ln4x=2ln8

4x=8

x=8/4

x=2

7 0
3 years ago
Read the passage.
alexandr1967 [171]

Answer:

D sentence 5

Step-by-step explanation:

6 0
4 years ago
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