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3 years ago

PLS HELP! Solve and graph, y=1/3x-1 pls!!!!!!! show steps

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

See below for a graph.

Step-by-step explanation:

The equation of the line is in slope-intercept form. The slope is the coefficient of x, 1/3. The y-intercept is the added constant, -1.

These mean the line goes through the point (0, -1) on the y-axis and increases by 1 unit vertically for every 3 units of positive horiontal movement. These facts can help you draw the graph.

The steps are:

identify the y-intercept on the coordinate plane
find a point that is 3 units to the right and 1 unit up
draw the line through these two points.

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1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?

Aleksandr-060686 [28]

We know that sum of the interior angles of any triangle equal 180° :

So :

A + B + C = 180°

45° + 75° + C = 180°

120° + C = 180°

Both sides minus ( 120°) :

C = 180° - 120°

C = 60°

_________________________________

According to the theorem of sinuses :

$\frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\$

$\frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\$

$\frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\$

$Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2}$

$AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\$

$AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\$

$AB = \sqrt{2} \times 6 \sqrt{3}$

$AB = 6 \sqrt{2 \times 3}$

$AB = 6 \sqrt{6}$

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0

4 years ago

5 pounds of birdseed cost $10.40. What is the price per ounce ?

expeople1 [14]

$0.13 per ounce. 5 pounds of birdseed cost $10.40, then the price per ounce is $0.13.

The easiest way to solve this problem is using arithmetic operations and unit conversion.

We have to calculate the price per pound. Let's divide $10.40 by 5 pounds.

10.40/5 = 2.08

The price per pound is $2.08

To calculate the price per ounce, with 1 pound = 16 ounces. Let's divide $2.08 by 16 ounces.

2.08/16 = 0.13

The price per ounce is $0.13

4 0

3 years ago

Factor the quadratic expression. 3x^2-2x-5

PSYCHO15rus [73]

first subtract 2 from - 5 which is 7 then subtract 3-2 then you would get x = 7 that would be my guess.

3 0

3 years ago

What is the solution of the equation 3x + x + 8 = 4?<br> a. -1 c. 2<br> b. 1 d. 4

s344n2d4d5 [400]

Answer:

a. -1

Step-by-step explanation:

Simply the equation: 3x+x+8=4

1st step: 4x+8=4

2nd step: 4x=4-8

3rd step: x= $\frac{-4}{4}$

4th step: x= -1

5 0

4 years ago

4x+8

hodyreva [135]

Answer:a

Step-by-step explanation:

7 0

3 years ago