Directions: Solve each of the following equations.

Mathematics

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer:

Step-by-step explanation:

11. 76x + 23x = 33

99x = 33

x = 33/99 which reduces to 3

12. 140r - 8r - 4r = 216

128r = 216

r = 216/128 which reduces to 27/16

13. 98c - 99c = 1

-1c = 1

c = -1/1

c = -1

14. 104mn + (-84mn) = 36

104mn - 84mn = 36

20mn = 36

mn = 36/20 which reduces to 9/5....I am not sure about this one...I was not sure if u were looking for m or n..so I didn't separate them. But if ur looking for m, it is m = 9/5n...and if ur looking for n, it is n = 9/5m

15. 118j - 234j = 234

- 116j = 234

j = -234/116 reduces to - 117/58

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What is 1/5 as a hundredth?

crimeas [40]

Answer:

0.2

Step-by-step explanation:

5 0

3 years ago

Match the Polynomials with their names. ___ 2x 3 + 4x ___ 3x 5 + 3x 4 + x 3 ___ x 2 + 3 ___ 2x 2 + x − 5 A. Quintic trinomial B.

leonid [27]

We have that

case 1) 2x3 + 4x -----------> C. cubic binomial
The degree of the polynomial is 3----> the greater exponent is elevated to 3
the number of terms is 2

case 2) 3x 5 + 3x 4 + x 3--------> A. Quintic trinomial
The degree of the polynomial is 5----> the greater exponent is elevated to 5
the number of terms is 3

case 3) x 2 + 3----------> B. quadratic binomial
The degree of the polynomial is 2----> the greater exponent is elevated to 2
the number of terms is 2

case 4) 2x 2 + x − 5 A------------> D. quadratic trinomial
The degree of the polynomial is 2----> the greater exponent is elevated to 2
the number of terms is 3

6 0

3 years ago

PLEASE HELP

Marat540 [252]

Answer:

Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral

Step-by-step explanation:

All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.

DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.

Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.

Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.