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3241004551 [841]
2 years ago
12

Assuming all factors are real, factor x4 + y4.

Mathematics
1 answer:
guapka [62]2 years ago
7 0
Could not factor further
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How do you solve it?
Elis [28]

At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




7 0
2 years ago
The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?
bonufazy [111]

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

6 0
2 years ago
I don't get how to solve this problem
White raven [17]
You're gonna want to divide 16 from 40. the answer to that is how many containers being bought. because its one dollar per pint its will be the same answer
5 0
3 years ago
Read 2 more answers
What is the area of the figure?
Lynna [10]

Answer:

112 in^2

Step-by-step explanation:

10 x 10 = 100

4 x 6 / 2 = 12

112 inches squared

5 0
2 years ago
Read 2 more answers
Mary has completed 8 problems of her 20 question test. How much of the test has she completed in fraction form (simplity!)
allochka39001 [22]

Answer:

2/5

Step-by-step explanation:

She completed 8 out of 20 so we divide 8 by 20

8/20 can be simplified if we divide both the numerator and denominator by 4

which equals 2/5

6 0
3 years ago
Read 2 more answers
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