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4 years ago

A line passes through the point (4,-6) and has a slope of 5/4. Write an equation in slope intercept form for this line.

1 answer:

5 0

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})~\hspace{10em} slope = m\implies \cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=\cfrac{5}{4}(x-4) \\\\\\ y+6=\cfrac{5}{4}x-5\implies y=\cfrac{5}{4}x-11$

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olga_2 [115]

Answer:

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Step-by-step explanation:

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3 years ago

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Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circ

RSB [31]

Answer:

146°

Step-by-step explanation:

Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.

Solution:

Given that:

arc AB = 64° and ⦣ABC=73°

The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.

Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:

arc AC = 2 * ⦣ABC

substituting:

arc AC = 2 * 73

arc AC = 146°

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3 years ago

Donnie has18 melons. Each melon weighs 3 pounds. How many pounds of melons does Donnie have in all? A. 6 pounds B. 11 pounds C.

pentagon [3]

18 x 3 = 54. So the correct answer is D. 54 pounds.

4 0

4 years ago

A wire is (7x – 3) meters long. A length of (3x – 4) meters is cut for use(a) How much wire is left?

ipn [44]

Answer:

The amount of wire left is 4x + 1

Step-by-step explanation:

Initially, the wire is (7x - 3) meters long.

A length of (3x - 4) meters is cut.

How much wire is left?

Initial amount subtracted by the amount that is cut. So

(7x - 3) - (3x - 4) = 7x - 3 - 3x + 4

We combine the like terms

7x - 3x - 3 + 4 = 4x + 1

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3 years ago

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damaskus [11]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)

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4 years ago