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3 years ago

Which set of x- and y-values represents a function

Mathematics

1 answer:

dolphi86 [110]3 years ago

3 0

If Im correct I believe the answer is the last one

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Calculate the area of triangle ABC with altitude, CD, given

defon

Answer:

37.5 square units

Step-by-step explanation:

Given:

A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC

Required:

Area of ∆ABC

SOLUTION:

Area of a ∆ABC =½*AB*CD

✍️ $AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{6 -(-6))^2 + (5 -(-4))^2$

$AB = \sqrt{12^2 + 9^2}$

$AB = \sqrt{144 + 81}$

$AB = \sqrt{225} = 15$

✍️ $CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{2 -(-1))^2 + (2 - 6)^2$

$CD = \sqrt{(3)^2 + (-4)^2}$

$CD = \sqrt{9 + 16}$

$CD = \sqrt{25} = 5$

✍️Area of a ∆ABC =½*AB*CD

= ½*15*5

✅ Area = 37.5 square units

5 0

3 years ago

Jackson invested $590 in an account paying an interest rate of 6 % compounded

finlep [7]

Answer:

$100

Step-by-step explanation:

4 0

3 years ago

Line g passes through points (1, 1) and (10, 9). Line h is perpendicular to g. What is the

Sauron [17]

Answer:

$\bold{The~slope~of~line~h~is~-\frac{9}{8}. }$

Step-by-step explanation:

Hi there!

First, let's calculate the slope of line g.

$\displaystyle\frac{y2-y1}{x2-x1}$

$\displaystyle\frac{9-1}{10-1} \\
\displaystyle\frac{8}{9}$

So, the slope of line g is $\displaystyle\frac{8}{9}$

Now let's identify the slope of line h.

We are given that line h is perpendicular to line g.

Now, perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

The slope of line g is

$\displaystyle\frac{8}{9}$

Now, we flop it over:

$\displaystyle\frac{9}{8}$

Then, we change its sign:

$\displaystyle-\frac{9}{8}$

Thus, $\displaystyle-\frac{9}{8}$ is our final answer.

Hope it helps! Enjoy your day! (:

$\bold{GazingAtTheStars}$

8 0

3 years ago

Select all the correct answers. What is the simplest form of this expression? (X-3) 1/3

butalik [34]

Answer:

1/x and x⁻¹

Step-by-step explanation:

(x⁻³)^⅓

x⁻³*⅓

x⁻¹

1/x

I hope this helps

3 0

3 years ago

Simplify 3^5•3^4 a.) 3•20 b. 3^9 c.) 6^9 d.) 3^20

Dmitry_Shevchenko [17]

Answer:

But if we are doing 3^x we need to add both of them

This is a rule you should remember if you have both same base to x power when you are multiplying

5+4 = 9

answer is 3^9 or 19683

4 0

3 years ago