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2 years ago

Write (-6,14) and (-3,18) in slope intercept form

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

4 0

Answer:

y = 4/3 x + 22

Step-by-step explanation:

first solve for the slope. use the formula:

y2-y1/x2-x1. plug the numbers in and solve:

18-14/-3-(-6)

slope: 4/3

the use the equation y=mx+b

m is the slope and substitute the x and y for one of the coordinates, I am going to use the first one (-6, 14)

14=4/3(-6)+b and solve for b

14 = - 8 + b

22=b

then put all together giving you

y= 4/3 x + 22

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Find the coordinates of the circumcenter of the triangle with the given vertices. X(-2, 1), Y(2, -3), Z(6, -3).

lana [24]

Answer:

C (4,3)

Step-by-step explanation:

Steps to find the circumcenter:

1) Find and Calculate the midpoint of given coordinates or midpoints.

2) Calculate the slope of the perpendicular bisector lines

3) By using the midpoint and the slope, find out the equation of the line

$( y-y_1 )= m(x-x_1)$

4) Do the same for another line

Solve the equations of two lines to get the intersection point.

The intersection point will be the circumcenter of the triangle.

Given :

X(-2,1), Y(2,-3), Z(6,-3)

Please see the attached file:

5 0

2 years ago

Which expressions are equivalent to 7 (negative three-fourths x minus 3)? Select two options.

polet [3.4K]

The equivalent expressions are:

$7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21$

Solution:

Given expression is:

$7(-\frac{3}{4}x - 3)$

We have to find the equivalent expressions

By distributive property,

a(b + c) = ab + ac

Therefore,

$7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21$

Thus equivalent expressions are found

7 0

3 years ago

Read 2 more answers

What is the slope of the line shown in the graph? (4 points) 5 4 1 0 10

Softa [21]

Answer:

There is no graph

Step-by-step explanation:

Post the graph and I can help you.

6 0

3 years ago

HELP PLS ASAP I NEED HELP PLS HELP ANSWER THE QEUSTION IN THE PHOTO PLS

Stolb23 [73]

I am guessing it is b! because BG and BA are sides, and BAU and BGN are angles.

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3 years ago

Urgent. Please show all work

myrzilka [38]

Answer:

$\displaystyle f'(x) = \frac{4}{x^2}$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Differentiation

Derivatives
Derivative Notation

The definition of a derivative is the slope of the tangent line: $\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle f(x) = -\frac{4}{x}$

Step 2: Differentiate

[Function] Substitute in x: $\displaystyle f(x + h) = -\frac{4}{x + h}$
Substitute in functions [Definition of a Derivative]: $\displaystyle f'(x) = \lim_{h \to 0} \frac{-\frac{4}{x + h} - \big( -\frac{4}{x} \big)}{h}$
Simplify: $\displaystyle f'(x) = \lim_{h \to 0} \frac{4}{x(x+ h)}$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle f'(x) = \frac{4}{x(x+ 0)}$
Simplify: $\displaystyle f'(x) = \frac{4}{x^2}$

∴ the derivative of the given function will be equal to 4 divided by x².

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Learn more about derivatives: brainly.com/question/25804880

Learn more about calculus: brainly.com/question/23558817

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

6 0

1 year ago