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siniylev [52]
3 years ago
12

A set of equations is given below:

Mathematics
1 answer:
maksim [4K]3 years ago
7 0
Y = 3x + 7....slope is 3, y int is 7
y = 3x + 2...slope is 3, y int is 2

when the slopes are the same, but the y intercepts different, then it is a parallel line with no solutions.

little tip :
slopes same, y int different, = no solution
slopes same, y int same = infinite solutions
slopes different, y int different = 1 solution
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Name a pair of complementary angles and a pair of supplementary angles
makkiz [27]

Answer:

Step-by-step explanation:

m<POQ + m<SOR = 90º. This makes these two angles complementary.

m<POQ + m<QOR + m<SOR = 180º. This is because the measure of a straight line is 180º.

hope this helps, reach out if you have more questions!

5 0
3 years ago
6, 12, 18 and 24 are the first four multiples of 6.<br><br> What are the next 2 multiples?
kondor19780726 [428]

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

3 0
3 years ago
3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

3x^3+21x^2+36x=0

Taking 3x common.

3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0

x = 3

x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

5 0
3 years ago
The price of an item decreased by 20% to $200. Then later the price decreased again from $200 to $150. What is the percent of de
cricket20 [7]

Answer:

40%

Step-by-step explanation:

ok so first find the og price:

100% - 20% = 80%

so 80% = 200

let the 100% be x:

x * 0.8 = 200

x= 250

100% = 250

(difference/ og price) * 100% = the percentage decrease/ increase

(250-150/250)* 100% = 40%

OR

((the final price/ og price) * 100%) - 100%

((150/250)*100%) - 100% = 40%

There was a 40% decrease from the og price to the final price of 150.

3 0
3 years ago
Expand ( 2 − x ) 5 and identify each part of the expression.
dimaraw [331]
You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.
8 0
4 years ago
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