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3 years ago

What is the equation of a line that is perpendicular to y = 3 x − 2 and passes through the point ( 6 , 8 )

1 answer:

8 0

The slope of the given line is 3. Therefore, the slope of any line perpendicular to y = 3x - 2 is the negative reciprocal of 3, which is m = -1/3.

Starting with the point-slope equation of a straight line, obtain the specific equation applicable here by substituting the givens: m = -1/3, h = 6 and k = 8):

y - k = m (x - h) becomes y - 8 = (-1/3)(x - 6) (answer).

This could, if you wish, be rewritten in some other format.

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What is the discriminant of the quadratic equation 0 = 2x2 3x – 5? –37 –31 43 49

Degger [83]

The discriminant of a quadratic equation is useful in determining the nature of its roots. Further, it can be solved by the equation,
D = b² - 4ac
From the given equation, b = 3, a = 2, and c = -5. Substituting the given to the equation,
D = 3² - (4)(2)(-5) = 49
Thus, the answer is the fourth choice, 49.

7 0

3 years ago

Read 2 more answers

1.Find the first five terms of the recursive sequence.

sveta [45]

Answer:

Step-by-step explanation:

> 2f%283-1%29+%2B+3%2A3-> 2f%282%29+%2B+9-> 2%282%29+%2B9->4%2B9=13

a%5B3%5D=+13...third term

n=4

-> 2f%284-1%29+%2B+3%2A4-> 2f%283%29+%2B+12-> 2%2813%29+%2B12->26%2B12=38

a%5B4%5D=+38.....forth term

8 0

3 years ago

Read 2 more answers

At the shop near the beach, ice cream is offered in a cone or in a cylindrical cup as shown

Debora [2.8K]

Answer:

Step-by-step explanation:

3 0

3 years ago

What’s the answers?...

tia_tia [17]

Hence, the values of x, y and z are as follows:

x=10

y=5

z=2

Further explanation:

When two triangles are congruent, then their respective sides will also be congruent or equal

As it is given that

ΔABC≅ΔDFE

Which means that

EF = BC

ED=AC

FD=AB

Now,

$EF=BC\\Putting\ the\ values\\x+15=2x+5\\x-2x=5-15\\-x=-10\\x=10\\AND\\FD=AB\\Putting\ the\ values\\4y=8y-20\\4y-8y=-20\\-4y=-20\\\frac{-4y}{-4}=\frac{-20}{-4}\\y=5\\AND\\ED=AC\\10z-5=3z+9\\10z-3z=9+5\\7z=14\\\frac{7z}{7}=\frac{14}{7}\\z=2$

Hence, the values of x, y and z are as follows:

x=10

y=5

z=2

Keywords: Similar triangles, Congruent Triangles

Learn more about congruent triangles at:

#LearnwithBrainly

7 0

4 years ago

Function g is defined as g(x)=f (1/2x) what is the graph of g?

larisa86 [58]

Answer:

Explanation

We know that g(x) = f(1/2x)

Additionally, the graph of f(x) passes through the point (-2, 0) and (2, 0).

It means that f(-2) = 0 and f(2) = 0

Then, g(-4) = 0 and g(4) = 0 because

$\begin{gathered} g(x)=f(\frac{1}{2}x_{}) \\ g(-4)=f(\frac{1}{2}\cdot-4)=f(-2)=0 \\ g(4)=g(\frac{1}{2}\cdot4)=f(2)=0 \end{gathered}$

Therefore, the graph of g(x) will pass through the points (-4, 0) and (4, 0). Since option D. satisfies this condition, the answer is graph D.

5 0

2 years ago