Need help please identify the lines is it chord, secant, tangent, radius, or diameter.

What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5

Anuta_ua [19.1K]

Answer:

$y = \frac{3}{2} x-11$

Step-by-step explanation:

We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is $y = - \frac{2}{3} x+5$ .

We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be $\frac{3}{2}$ .

Then, we will find the y-intercept of the line using the standard equation of a line:

$y=mx+c$

$1=\frac{3}{2} (8)+c$

$c=-11$

Therefore, the equation of the line will be $y = \frac{3}{2} x-11$ .

7 0

3 years ago

Read 2 more answers

What is the simplest form of this expression? (x + 7)(3x − 8) A. 3x2 + 2x − 15 B. 3x2 + 29x − 1 C. 3x2 − 29x − 56 D. 3x2 + 13x –

Lorico [155]

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▹ Answer

D. 3x² + 13x - 56

▹ Step-by-Step Explanation

(x + 7)(3x - 8) (Using FOIL method)

x * 3x - 8x + 7 * 3x - 7 * 8

3x² - 8x + 7 * 3x - 7 * 8

3x² - 8x + 21x - 56

3x² + 13x - 56

Hope this helps!

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3 0

3 years ago

Read 2 more answers

Find the value of n . 6/n = 24/28 y = ___.

il63 [147K]

Answer:

$n=7$

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

$\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7$

Plug back in to check.

$\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857$

5 0

4 years ago

Two number cubes are rolled sequentially. What is the probability that the first number cube shows a five and the other number c

nexus9112 [7]

The probability of first number cube shows a five and the other number cube shows an even number is $\frac{1}{12}$ .

Solution:

Two cubes are rolled sequentially.

Sample space when two dies are rolled

$=\left\{\begin{array}{l}{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)} \\{(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)} \\{(3,1), 3(, 2),(3,3),(3,4),(3,5),(3,6)} \\{(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)} \\{(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)} \\{(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}\end{array}\right\}$

Number of sample space = 36

Even numbers getting when two cubes rolled are 2, 4, 6.

First number cube shows a five and the other number cube shows an even number = {(5, 2), (5, 4), (5 6)}

Number of first number cube shows a five and the other number cube shows an even number = 3

Probability of first number cube shows a five and the other number cube shows an even number

$=\frac{\text{Number of outcomes}}{\text{Total number of sample space}}$

$$=\frac{3}{36}$

$$=\frac{1}{12}$

Hence, the probability of first number cube shows a five and the other number cube shows an even number is $\frac{1}{12}$ .

8 0

3 years ago

At which x-values are the output values of the floor function g(x) = ?x? and the ceiling function h(x) = ?x? equal? Check all th

ElenaW [278]

Answer:

-8, 0

Step-by-step explanation:

The floor and ceiling functions have equal values for any integer argument. Their value is that integer.

Among your answer choices, the integers are -8 and 0.

5 0

4 years ago