Caleb took 18 photos at the zoo. One sixth of his photos are of giraffes. How many of Calebs photos are giraffes

Mathematics

1 answer:

pshichka [43]3 years ago

4 0

3 of calebs pics are giraffes
18 / 6 = 3

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What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?

Anvisha [2.4K]

Answer:

$y=-\frac{3}{2}x-\frac{9}{2}$

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = $\frac{y_2-y_1}{x_2-x_1}$

m' = $\frac{1+1}{3-0}$

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

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × $\frac{2}{3}$ = -1

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

Equation of the perpendicular line will be,

$y=-\frac{3}{2}x+b$

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = $-\frac{3}{2}(-3)+b$

b = $-\frac{9}{2}=-4.5$

Equation of the line will be,

$y=-\frac{3}{2}x-\frac{9}{2}$

3 0

3 years ago

Find the area of each triangle.

lord [1]

Hi there!

We can find the area of a triangle with the formula:
$area = 0.5 \times base \times height$

Filling in this formula gives us the following answers.

Triangle 1
$area = 0.5 \times 5 \times 8 = 20$

Triangle 2
$area = 0.5 \times 7 \times 9 = 31.5$

Triangle 3
$area = 0.5 \times 16 \times 12 = 96$