Which term shows a product of a number and a variable? 5 + 6x - 7 + 4 A. 5 B. 6x C. -7 D. 4

2 answers:

7 0

A variable is just a letter or symbol that symbolizes a number

Therefore, B. 6x is a number multiplied by a letter (product).

Monica [59]3 years ago

4 0

B. 6x

A variable is usually a letter than can be any number plugged in (unless given).

All the other (5, -7, 4) are constants, and cannot change

hope this helps

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The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). what is the perimeter and area in square units

ad-work [718]

Check the picture below.

the triangle has that base and that height, recall that A = 1/2 bh.

now as for the perimeter, you can pretty much count the units off the grid for the segment CB, so let's just find the lengths of AC and AB,

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&C&(~ 6 &,& 2~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{(6-2)^2+(2-8)^2}\implies AC=\sqrt{4^2+(-6)^2}
\\\\\\
AC=\sqrt{16+36}\implies AC=\sqrt{52}\implies AC=\sqrt{4\cdot 13}
\\\\\\
AC=\sqrt{2^2\cdot 13}\implies AC=2\sqrt{13}$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&B&(~ 16 &,& 2~)
\end{array}\\\\\\
AB=\sqrt{(16-2)^2+(2-8)^2}\implies AB=\sqrt{14^2+(-6)^2}
\\\\\\
AB=\sqrt{196+36}\implies AB=\sqrt{232}\implies AB=\sqrt{4\cdot 58}
\\\\\\
AB=\sqrt{2^2\cdot 58}\implies AB=2\sqrt{58}$

so, add AC + AB + CB, and that's the perimeter of the triangle.

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3 years ago

An equilateral triangle has three congruent sides. If sides are congruent, the opposite angles are congruent.

VladimirAG [237]

Answer:

B)law of detachment

Step-by-step explanation:

5u56i566i56

4 0

2 years ago

Food A contains 150 calories in 3/4of a serving. Food B contains

nadya68 [22]

Food A has fewer calories per serving.

I found this by taking the first food (A) and dividing 150 by 3. This gave me 50, which I added onto 150 to give me my 4/4 of a serving (200 calories).

With food B, I did the same process. I took 250/2 and added that to the original amount to get the final third of the serving, which resulted in food B being 375 calories.

8 0

2 years ago

Read 2 more answers

The volume of a box is 400in3. if the height is 10in and the length is 8in, what is the width of the box (volume=l•w•h)

tankabanditka [31]

10•8=80
so something times 80 will equal 400
80•5=400

6 0

3 years ago

9+x/15=10 What is happening to the variable? How do you solve for the variable?

Katarina [22]

Answer:

The variable x is being divided by 15 in the equation and x=15

Step-by-step explanation:

To solve for x we :

9+x/15=10

x/15=1

x=15

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3 years ago