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3 years ago

What is the equation, in slope-intercept form, of the line that contains the points (3, -4) and (5 -6)

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

y = -x - 7

Step-by-step explanation:

As we move from the point (3, -4) to the point (5, -6), x increases by 2 and y decreases by 2. Thus, the slope of this line is m = rise / run = -2/2, or -1.

Starting with the general slope-intercept form of the equation of a straight line, we get y = mx + b => y = -1x + b.

Subbing -4 for y and 3 for x, we get

-4 = -1(3) + b, which yields b = -1

Thus, the desired equation is

y = -x - 1

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sasho [114]

Answer:

2,920 ounces

Step-by-step explanation:

To find this, just multiply:

292 × 10 = 2,920

So, 2,920 ounces are needed

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3 years ago

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iragen [17]

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Question 5 (12 points)

Dima020 [189]

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle: $(x + 1)^2 + (y - 3)^2 = 16$

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

a) let (-1, 3) = $(x_1,y_1)$

let (2, 1) = $(x_2, y_2)$

$\implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}$

b) let (-1, 3) = $(x_1,y_1)$

let (4, 1) = $(x_2, y_2)$

$\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}$

c) let (-1, 3) = $(x_1,y_1)$

let (3, 3) = $(x_2, y_2)$

$\implies \sqrt{(3+1)^2+(3-3)^2} =4$

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2 years ago

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Two angle measures in a scalene triangle are 38° and 25°. What is the measure of the third angle?

NISA [10]

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3 years ago

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Which expression is equivalent to 2x-2(20-3x)+12

Darina [25.2K]

Answer:

-7x-48

Step-by-step explanation:

2x-3(20-3x)+12

2x-60-9x+12 (distribute)

-7x-48

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3 years ago