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vagabundo [1.1K]
4 years ago
9

Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?

Mathematics
1 answer:
oksian1 [2.3K]4 years ago
8 0

Answer:

They are both parallel lines

Step-by-step explanation:

they both have the slope of -5/4

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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
What is 37 more than t
AleksAgata [21]

37 more than t would simply be defined as t+37

That's all!

8 0
4 years ago
at one store 3 sweaters cost $44.99 and at a store next door the same sweater costs $52.00 for 4 which store has the better deal
Liono4ka [1.6K]

Answer:

The first store

Step-by-step explanation:

3sweaters->$44.99

4sweaters->x

x=4×44.99/3 x=$59.98

3sweaters->$52.00

4sweaters->x

x=4×52/3 x=$69.33

first store<second store

59.98<69.33

8 0
3 years ago
What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 3 units from the origin?
Bess [88]

Answer: X=27y+3r                  jkjkljlkjlkjljljkljkjkljlkjlkjlkjlkjlkjlkjkljlkjlkj

8 0
3 years ago
1/4 x 1/4 - 1/4 ÷ 1/4 ÷ 1/4 ÷ 1/4 cuanto es?
Inessa05 [86]

1 \div 4 \times 1 \div 4 - 1 \div 4 \div 1 \div 4 \div 1 \div 4 \div 1 \div 4
0.05859375 (or 0.06)
5 0
4 years ago
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