All categories

3 years ago

Which graph can be used to find the solution of the following system of equations?

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

Step-by-step explanation:

1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.

$2y-2x=10$

$2y=2x+10$

$y=x+5$

So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.

I hope this helps!

You might be interested in

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

3 years ago

Determine whether the relation is a function. Explain why or why not.

Vitek1552 [10]

This relation is a function. This is because no x value is repeated, so it passes the vertical line test.

Here is an example of where a relation is NOT a function:

{(2, 5), (3, –5), (2, 5), (5, –5)}

Hope this helps!

3 0

3 years ago

Solve: -11 - 79 +5g = 3

Katyanochek1 [597]

Answer:

g=18.6

Step-by-step explanation:

-11-79+5g=3

-90+5g=3

5g=3+90

5g=93

g=93/5=18.6

g=18.6

6 0

3 years ago

2a+3b=5? What is that someone please help ASAP !!

AnnyKZ [126]

Answer:

subtract 2a + 3b - 3b =5 - 3b

simply 2a = 5 -3b

divide both sides by 2 . 2a over 2 = 5 over 2 - 3b over 2

simply a= 5- 3b over 2

5 0

3 years ago

3. At a bargain store, Tanya bought 4 items that each cost the same amount. Tony bought 5 items that each cost the same amount,

FinnZ [79.3K]

We'll do it in cents and convert when we have to.

Tanya paid x per item, a total of 4x.

Tony paid x-125 per item (in cents) for a total of 5(x-125)

4x = 5(x-125)

4x = 5x - 625

x = 625 = $6.25

Check:

4(625) = 2500

5(625-125)=2500, same, checks

Answer: Tanya paid $6.25 per item, Tony $5.00 per item

6 0

3 years ago