Find the point-slope equation for

Mathematics

1 answer:

mars1129 [50]3 years ago

8 0

Answer:

y-24=m(x--4)

Step-by-step explanation:

point slope form:

y-y₁=m(x-x₁)

1) find the slope or "m" first:

slope formula: (y2-y1)/(x2-x1)

(-53-24)/7+4

-77/11=-7

slope=-7

y-y₁=-7(x-x₁)

y1=24

x1=-4

y-24=m(x--4)

hope this helps!

You might be interested in

Find the probability of randomly choosing the letter A or E from a board that contains the letters CANDLE.

Nuetrik [128]

Answer:

Step-by-step explanation:

There are 6 letters all together. There 2 letters that if you draw them, you will be successful.

2/6 = 1/3

That means that 1 in 3 times you should draw an A or an E.

5 0

3 years ago

PLEASE explain this, I'm so lost. 25 points! What is the area of the base of the pyramid? Enter your answer in the box. Express

stepladder [879]

To find the area of the triangle shown we have to find the length of a and the base.

a can be found using the sine function. Recall sin = (opp)/(hyp)

Here $sin 60 = \frac{a}{8} 
$
$\frac{ \sqrt{3} }{2}= \frac{a}{8} 
$
$2a=8 \sqrt{3}$
$a=4 \sqrt{3}$

The base can be found using the sin of 30 degrees as this is a 30-60-90 right triangle.
$sin30= \frac{b}{8}$
$\ \frac{1}{2} = \frac{b}{8}$
$b=4$

The area of the triangle in the picture is given by $A=( \frac{1}{2} )bh= (\frac{1}{2})(4)( \frac{ \sqrt{3} }{2} )= \sqrt{3}$ .

The base of the pyramid is a hexagon which can be divided into 6 triangles each of which is double the area of the one we just found. So the area of the base = 2(area of the triangle we found)(6) = $12 \sqrt{3}$