All categories

3 years ago

Part A

Mathematics

1 answer:

MakcuM [25]3 years ago

6 0

Answer:

-1 ; -1 ; the two lines are parallel

Step-by-step explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1 line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

You might be interested in

What is the completely factored from of 9x2+24x+16

dezoksy [38]

Answer:

(3x+4)(3x+4) is factor of given expression.

B is correct.

Step-by-step explanation:

We are given an expression $9x^2+24x+16$

Formula: $a^2+2ab+b^2=(a+b)^2$

First we write each term as perfect square as formula.

$\Rightarrow 9x^2+24x+16$

$\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2$

Using formula , a=3x and b=4

$\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2$

Now we write same number two times.

Hence, (3x+4)(3x+4) is factor of given expression.

3 0

3 years ago

The graph below shows a household's budget. If the household spends $2,000 a month, what are their utility costs for the month?

Llana [10]

The answer should be $200.
Your welcome :)

3 0

4 years ago

Which statement is false?

oee [108]

I believe it’s the last one

7 0

3 years ago

Which equation demonstrates the additive identity property?

Blababa [14]

Answer:

first you have to add

Step-by-step explanation:

6 0

3 years ago

The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% di

Brilliant_brown [7]

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, <u>BEFORE THE 25% WAS ADDED</u>

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find 15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

3 0

3 years ago