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mafiozo [28]
3 years ago
6

Simplify (5r^2t)^2(3r^0t^4)

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0
Answer


75r^4 t^2 + 25r^4 t^6
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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
100%
Alborosie
6.75%
1 penny = 50% chance of tail
50% x 50% x 50% x 50%= 6.75%
8 0
3 years ago
Subtract.
kobusy [5.1K]
Is it 729 lol why would you put it as mixed number
8 0
3 years ago
Read 2 more answers
A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?​
gogolik [260]

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}

\text {Radius = }\sqrt{6^2 + 8^2}

\text {Radius = }\sqrt{100}

\text {Radius = }10

Area = π (10)² = 100π = 314 units²

6 0
3 years ago
What is the slope for y=0.5x+10
laila [671]

Answer: the answer is 0.5

Step-by-step explanation:

Y=mx+b mx= slope b= y intercept

5 0
3 years ago
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