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Bezzdna [24]
3 years ago
5

What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44

Mathematics
2 answers:
morpeh [17]3 years ago
5 0

Step-by-step explanation:

12q+3r=15

-4q-4r=-44

12q+3r=15

-12q-12r=-132

-9r=-117

r= 13

12q + 39 = 15

12q= -24

q= -2

(-2,13)

KengaRu [80]3 years ago
5 0

Answer:

The answer is in fact -2, 13. I hope this help even just a little.

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Linear equation
dybincka [34]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{1}{2} and (a, b) = (3, - 2) , thus

y - (- 2) = \frac{1}{2} (x - 3) , that is

y + 2 = \frac{1}{2}( x - 3) ← in point- slope form

(b)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{1}{2} , thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = \frac{3}{2} + c ⇒ c = - 2 - \frac{3}{2} = - \frac{7}{2}

y = \frac{1}{2} x - \frac{7}{2} ← in slope- intercept form

3 0
3 years ago
A rancher is ordering a box of cube-shaped salt licks. the edge length of each salt lick are 5/12 foot. is the volume of one sal
strojnjashka [21]

Answer:

0.0723 cubic feet < 1 cubic foot.

Step-by-step explanation:

A cube-shaped salt lick is ordered by a rancher and the length of each salt lick is \frac{5}{12} foot.

Therefore, the side length of each salt lick of cube-shape is \frac{5}{12} foot.

So, the volume of each salt lick is (\frac{5}{12} \times \frac{5}{12} \times \frac{5}{12}) = \frac{125}{1728} = 0.0723 cubic feet.

Hence, this volume is less than 1 cubic foot. (Answer)

5 0
3 years ago
PLS help ME!!!!<br> Simplify the expression
Vanyuwa [196]

Answer: -2.1p + 1.7

2.4 - 6p - 0.7 + 3.9p

Subtract 6p from 3.9p. (-2.1p)

Subtract 0.7 from 2.4. (1.7)

5 0
3 years ago
The average distance of the moon from earth is about 384,400 kilometers write this number in scientific notation
IRISSAK [1]

Answer: 3.844 x 10^5

7 0
3 years ago
What is the fourth root of -16?
Zarrin [17]

Answer:

The answer to your question is 2i

Step-by-step explanation:

                                             \sqrt[4]{-16}

- Get the prime factors of -16

                                                  - 16   2

                                                   -  8  2

                                                   -  4  2

                                                   -  2  2

                                                       1

                                   16 = 2⁴

- Express the -16 as a power

                          \sqrt[4]{-2^{4}}  or   \sqrt[4]{2^{4}i^{2}}

Remember that -1 = i²

- Get the fourth root of -16

                                         2i

                               

6 0
3 years ago
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