A dozen muffins costs $5. Large bottles

Mathematics

1 answer:

notka56 [123]3 years ago

5 0

Answer: Option D) 3 x 5 + 4 x 2

Step-by-step explanation:

- Since a dozen muffins costs $5.

Buying 3 dozen muffins means (3 x $5)

- Since Large bottles of juice cost $2.

The cost of 4 large bottles of juice is (4 x $2)

Hence, the total cost is (3 x $5) + (4 x $2)

= $15 + $8

= $23

Now, you'll notice that "3 x 5 + 4 x 2" gives 23.

Thus, it is the only expression that could be used to find the total cost.

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Through: (2,5), perp. to y =- 2/3x +3

chubhunter [2.5K]

Find the equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3

<h3><u>Answer:</u></h3>

The equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3 in slope intercept form is $y = \frac{3}{2}x + 2$

<h3><u>Solution:</u></h3>

Given that line passes through (2, 5) and perpendicular to line having equation $y = \frac{-2}{3}x + 3$

Let us first find slope of original line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing the slope intercept form y = mx + c and given equation of line $y = \frac{-2}{3}x + 3$ we get

$m = \frac{-2}{3}$

Thus slope of given line is $m = \frac{-2}{3}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

Slope of given line x slope of line perpendicular to it = -1

$\begin{array}{l}{\frac{-2}{3} \times \text { slope of line perpendicular to it }=-1} \\\\ {\text { slope of line perpendicular to it }=\frac{3}{2}}\end{array}$