All categories

3 years ago

Do the equations x + y = -2 and 3x + 3y = −6 define the same line? Explain.

Mathematics

1 answer:

tino4ka555 [31]3 years ago

6 0

Answer:

Yes, they do.

Step-by-step explanation:

They both pass through the same points of -2 on the x and y axis.

You might be interested in

in the bag, there are certain number of toy- blocks with alphabets A,B,C and D written on them. The ratio of blocks A:B:C:D is 4

Svet_ta [14]

Given, the ratio of blocks A, B, C,D are in the ratio 4:7:3:1

Let us consider the common ratio to be ‘x’.

So, toy blocks with alphabet A is 4x and

toy blocks with alphabet B is 7x and

toy blocks with alphabet C is 3x and

toy blocks with alphabet D is x

Again, the number of ‘A’ blocks is 50 more than the number of ‘C’ blocks.

As no. of ‘A’ and ‘C’ blocks are 4x and 3x respectively.

So,

4x=50 + 3x

x=50

Thus, the number of ‘B’ blocks is 7x = 7(50) = 350

350 is the required number.

7 0

3 years ago

Read 2 more answers

How do I solve this

sdas [7]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}$

$\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}$

3 0

3 years ago

For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Lana71 [14]

Answer:

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

4 0

3 years ago

Anna paid € 2800 for a dress. Payment was made after the price of the dress was reduced by 30%. What was the starting price?

aliina [53]

Answer:

$4000

Step-by-step explanation:

so $2800 was the starting price

100%-30%=70%

So 2800=70%

2800/7=400

400=10%

400*10=$4000

5 0

2 years ago

Which is the following is a source of income

almond37 [142]

Answer:

Investment is a source of Income.

Self Employment Income

6 0

3 years ago