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3 years ago

What is the slope of a line that passes through (-4,-13) and (19,11)?

1 answer:

7 0

We can find the slope from the two given points using the standard formula:
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m=\frac{11-(-13)}{19-(-4)}$
$m=\frac{24}{23}$

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Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

zheka24 [161]

The first thing I'd do is put this equation into standard slope - intercept form.

12x - 5y = 2 Subtract 12x from each side
-5y = -12x + 2 Divide each side by -5 to isolate the y
y = 12/5(x) - 2/5

The slope for this equation is 12/5, so we just take that and plug it into the slope - intercept equation with the given points (2, 3)

y = mx + b Fill in the variables
3 = 12/5(2) + b Simplify
3 = 24/5 + b Subtract 24/5 (or 4 4/5) from each side
-9/5 = b

Now we just fill in the correct variables (m and b) in the equation to have our final answer.

y = 12/5x - 9/5

4 0

3 years ago

You earn $56 walking your neighbors dog for eight hours your friend Earns $36 painting your neighbors fence for four hours are t

KIM [24]

Yes i might be wrong but i think its yes

7 0

2 years ago

Miles bought a car that cost $23,556.to the nearest ten thousand,how much did the car cost

laila [671]

$20,000
In word form. he has twenty three thousand five hundred and fifty six, so we look to the digit next to the thousands, 3, and since its below 5, we keep 2 the same.

3 0

3 years ago

Part A

labwork [276]

An algebraic expression is one that consists of both number(s) and an alphabet(s). The required answers are:

i. Distance from Chenoa's house to the coffee shop = 6.0 miles

ii. Distance from coffee shop to Chenoa's school = 1.5 miles

iii. Distance from Chenoa's house to her school = 7.5 miles

An algebraic expression is one that consists of both number(s) and an alphabet(s). The alphabet is referred to as the unknown whose value has to be determined.

In the given question, let the distance from the coffee shop to Chenoa's school be represented by y.

So that;

The distance from Chenoa's house to the coffee shop = (2y + 3) miles.

The total distance from Chenoa's house to her school = 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = $\frac{3}{2}$

= 1.5

The distance from the coffee shop to Chenoa's school is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

= 6

The distance from Chenoa's house to the coffee shop is 6 miles.

And,

5y = 5(1.5)

= 7.5

The total distance from Chenoa's house to her school is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

5 0

2 years ago

If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).

Elena-2011 [213]

$\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16$

8 0

3 years ago