Write an equation for a line perpendicular to y = 2 x + 5 y=2x+5 and passing through the point (-6,1)

What is the best method to solve the system of equations? 2x + 3y = 8 4x - 6y = 2?

Nana76 [90]

Answer: x = 9/4, y = 7/6

║2x + 3y = 8
║4x - 6y = 2

║4x + 6y = 16
║4x - 6y = 2

Add both equations together:

8x = 18
x = 9/4

Sub x = 9/4 into 2x + 3y = 8
2(9/4) + 3y = 8
9/2 + 3y = 8
3y = 7/2
y = 7/6

5 0

3 years ago

Assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability f

Thepotemich [5.8K]

The final answer is 9 percent

5 0

2 years ago

Find the value of cos 28°cos 62°– sin 28°sin 62°

Romashka [77]

<h2>Answer:</h2>

cos 28°cos 62°– sin 28°sin 62° = 0

<h2>Step-by-step explanation:</h2>

From one of the trigonometric identities stated as follows;

cos(A+B) = cosAcosB - sinAsinB -----------------(i)

We can apply such identity to solve the given expression.

Given:

cos 28°cos 62°– sin 28°sin 62°

Comparing the given expression with the right hand side of equation (i), we see that;

A = 28°

B = 62°

∴ Substitute these values into equation (i) to have;

⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°

Solve the left hand side.

⇒ cos(90°) = cos28°cos62° - sin28°sin62°

⇒ 0 = cos28°cos62° - sin28°sin62° (since cos 90° = 0)

Therefore,

cos28°cos62° - sin28°sin62° = 0

8 0

2 years ago

Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by takin

m_a_m_a [10]

Answer:

1-

P(X=1) = 1/36

P(X=2) = 3/36 = 1/12

P(X=3) = 5/36

P(X=4) = 7/36

P(X=5) = 9/36 = ¼

P(X=6) = 11/36

2-

7/36

Step-by-step explanation:

1-

Attached, you will find a table with the possible values of X.

(See table attached)

As we can see, there are 36 entries so,

P(X=1) = 1/36

P(X=2) = 3/36 = 1/12

P(X=3) = 5/36

P(X=4) = 7/36

P(X=5) = 9/36 = ¼

P(X=6) = 11/36

2-

It can be noticed that the only possible value of X which is divisible by 4 is 4 and there are 7 entries in the table, so

P(X divisible by 4) = P(X=4) = 7/36

3 0

3 years ago

Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.

Jobisdone [24]

Answer:

PK=8.49m

Explanation:

We have sine formula

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}$

By sine formula we have

$\frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}$

We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°

Substituting

$\frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m$

7 0

3 years ago