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3 years ago

If the m = and the b = -2. then the linear equation is:

Mathematics

1 answer:

Leto [7]3 years ago

6 0

Hey there! I'm happy to help!

The linear equation with m and b is called the slope intercept equation, where m is the slope and b is the y intercept. It is written as y=mx+b.

We see that m is equal to 1 and b is equal to -2. We can write this down as y=1x-2, or just y=x-2 as 1x is just x.

Have a wonderful day! :D

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Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate

Basile [38]

Answer:

A. The length of the third side is approximately 5 feet.

B. A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

= $6^{2}$ + $3^{2}$ - 2(6 x 3) Cos $60^{o}$

= 36 + 9 - 36 x 0.5

= 45 - 18

$b^{2}$ = 27

b = $\sqrt{27}$

= 5.1962

b = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = $60^{o}$ , then let us apply the Sine rule to determined the measure of A.

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

So that,

$\frac{6}{Sin A}$ = $\frac{5.2}{Sin60^{o} }$

Sin A = $\frac{0.886*6}{5.2}$

Sin A = 0.99923

A = $Sin^{-1}$ 0.99923

= 87.75

A ≅ $88^{o}$

Since the sum of angle in a triangle = $180^{o}$ .

Then,

A + B + C = $180^{o}$

$88^{o}$ + $60^{o}$ + C = $180^{o}$

$148^{o}$ + C = $180^{o}$

C = $180^{o}$ - $148^{o}$

= $32^{o}$

C = $32^{o}$

Thus,

A = $88^{o}$ , B = $60^{o}$ and C = $32^{o}$ .

5 0

3 years ago

Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6

torisob [31]

Answer:

k = 102

Step-by-step explanation:

Inverse variation is represented as follows:

y = k/x

Find k by substituting 17 for y and 6 for x:

17 = k/6

Multiplying both sides by 6 results in k = 102

8 0

2 years ago

In a class of 7, there 4 syudents who play soccer. If the teacher chooses 3 students, what is the probability that none of the t

Lubov Fominskaja [6]

Answer:

75%

Step-by-step explanation:

Do 3/4 multiplied by 100% (100/100)

Then you get 75/100 which is 75%.

3 0

3 years ago

Simplify each expression by using the Distributive Property and combine like terms to simplify the expression.-2(-x-1)-(x+9)

Ymorist [56]

-2(-x-1)-(x+9)

= -2x + 2 - x - 9

Rearrange

= -2x - x + 2 - 9

= -3x - 7

8 0

1 year ago

Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given

Stells [14]

Another one where there's a danger of overthinking it !

The sum of ANY two integers is odd only if one is even and one is odd.

If they're both odd OR both even, then their sum is even.

So if their sum is odd, then one is odd and the other is even.

The probability is ' 1 ' (100%) .

4 0

3 years ago