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3 years ago

Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).

1 answer:

3 0

The area of a Triangle is 1/2BH (B=Base length, H=Height)
When looking at the points, we can figure out the following:

The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).

Now we plug in our values:
Area= 1/2(8)(4)
=1/2(32)
=16 Units squared

Therefore, your answer is 16 units squared.

I hope this Helps!
-Sinnamin

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Log((4x)/(8))=log(x-5)

creativ13 [48]

The given logarithmic equation solved for x is x = 10

<h3>Solving Logarithmic equations</h3>

From the question, we are to solve the given logarithmic equation.

The given logarithmic equation is

log((4x)/(8)) = log(x - 5)

To solve the given logarithmic equation, we will determine the value of the unknown variable.

The unknown variable in the equation is x.

From one of the rules of logarithm, we have that

If logₓY = logₓZ

Then,

Y = Z

Thus,

From log((4x)/(8)) = log(x - 5)

We can write that

(4x)/(8) = (x - 5)

Now, solve for x

(4x)/(8) = (x - 5)

Multiply both sides by 8

8 × (4x)/(8) = (x - 5) × 8

4x = 8x - 40

Subtract 8x from both sides of the equation

4x - 8x = 8x - 8x - 40

-4x = -40

Multiply both sides by -1

-1 × -4x = -1 × -40

4x =40

Divide both sides by 4

4x/4 = 40/4

x = 10

Hence, the solution of the equation is x = 10

Learn more on Solving logarithmic equation here: brainly.com/question/237323

#SPJ1

8 0

1 year ago

What are the zeros of the polynomial function f(x) = x(x + 5)(x – 8)?

elena-14-01-66 [18.8K]

0,-5,8

To find the zeros, set each equation equal to 0

x=0

x+5=0

x-8=0

Then solve

x=0

x=-5

x=8

So the zeros are 0,-5, and 8

7 0

3 years ago

What does x & y equal if y=1/2x + 7 and y=x-8

goldfiish [28.3K]

I hope this helps you

3 0

3 years ago

What is 2/3 of the distance between the points U (-1,4) and B (8,5)

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\U (-1,4)\quad\implies\quad x_1=-1\,,\ \ y_1=4 \\\\B (8,5)\quad\implies\quad x_2=8\,,\ \ y_2=5\\\\\frac12d=\frac23\sqrt{(8+1)^2+(5-4)^2}=\frac23\sqrt{81+1}=\frac23\sqrt{82}\approx6.037$

7 0

3 years ago

Bob is selling floral arrangements. Each arrangement uses 1 vase and 15 tulips. Each vase costs Bob $4.00. Let C be the total co

schepotkina [342]

There would be 15 tulips + 1 vase per each arrangement, so we could write:
15(t) + 4 =C

However, that if not in slope-intercept form. So, let us rewrite our equation...
We know that slope-intercept form is in the format y=mx+b, therefore our new equation must be, too.
We will let C be our "y," 15(t) be our "mx" and 4 be our "b." Which would look like this:
C=15(t)+4
Which can be more simply written as:
C=15t+4.

Boom, that's your answer.
I hope this helped.
Best of luck on your test/homework

3 0

3 years ago