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4 years ago

use the vertical line test to determine if the relation (-6,-2), (-2,6), (0,3), (3,5) is a function. Explain your response.

1 answer:

6 0

Graph the points and connect them and draw vertical lines in between them. You can already tell it's a function because every input has exactly on output.

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a local hamburger shop sold a combined total of 613 hamburgers and cheeseburger on Friday. there were 63 more cheeseburger sold

kondaur [170]

Answer:

275 hamburgers was sold on Friday

3 0

3 years ago

What is the measure of L ABD?

fenix001 [56]

Answer:

$\large\boxed{39^o}$

Step-by-step explanation:

$m\angle ABC=90^o\\\\m\angle ABC=m\angle ABD+m\angle DBC\\\\m\angle DBC=51^o\\\\\text{Substitute:}\\\\m\angle ABD+51^o=90^o\qquad\text{subtract }\ 51^o\ \text{from both sides}\\\\m\angle ABD=39^o$

4 0

4 years ago

Additive Inverse Property 0 = 5c + what is the missing number?

Vilka [71]

Answer:

Hi there!

Your answer is:

-5c

The full equation is:

0= 5c + (-5c)

Step-by-step explanation:

The additive inverse is whatever two numbers, when added, equal 0. We have a positive 5c here. To get rid of 5c, we must subtract 5c from 5c

I hope this helps!

7 0

3 years ago

Read 2 more answers

What are the steps to solve 7x − 1/2 (8x + 4) = 6

iren [92.7K]

We simplify the equation to the form, which is simple to understand
7x-1/2(8x+4)=6
Simplifying:
7x-0.5*(8x+4)=6
Reorder the terms
7x+(-4x-2)=6
Remove unnecessary parentheses
+7x-4x-2=+6
We move all terms containing x to the left and all other terms to the right.
+7x-4x=+6+2
We simplify left and right side of the equation.
+3x=+8
We divide both sides of the equation by 3 to get x.
x=2.66666666667

4 0

3 years ago

Read 2 more answers

Lamont works for an electric utility and is installing a 40 foot utility pole as shown. Lamont drills the anchor of a support ca

PIT_PIT [208]

Answer:

Approximately 43 feet of minimum cable is needed.

Step-by-step explanation:

This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (which are known to have one 90° angle). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:

$h^2=a^2+b^2$ Eqn. (1)

where

$h$ is the hypotenuse

$a$ is a side

$b$ is a side

Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have $a=40ft$ and $b=15ft$ . Plugging in Eqn.(1) and solving for $h$ we have:

$h^2=40^2+15^2\\h=\sqrt{40^2+15^2} \\h=\sqrt{1600+225}\\ h=\sqrt{1825}\\ h=5\sqrt{73}\\ h=42.72ft$

So we conclude that the minimum length of cable needed by Lamont is

≈43 feet (rounded up).

8 0

4 years ago