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4 years ago

What is one solution of the following system?

Mathematics

1 answer:

LiRa [457]4 years ago

5 0

Answer:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Step-by-step explanation:

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HELP .-. A painter bought 16 gallons of paint, just to cover two rooms. One room is twice the size of the other room and require

givi [52]

The total number of gallons of paint needed for the big room is 3x and the number of gallons of paint needed for the small room is 2y.
3x + 2y = 16
Given the sizes of the room, the relation should be that,
x = 2y
Solving the equation,
3(2y) + 2y = 16
y = 2
Therefore x is equal to 4 gallons.
With the condition that only the bigger room is painted, the number of gallons of paint used should be 12 gallons and what is left should be 4 gallons.

5 0

3 years ago

What integer multiplied by negative 4 gives negative 32

Salsk061 [2.6K]

8
8 multiplied by -4 gives -32

8 0

3 years ago

Read 2 more answers

Which function has zeros at x=23 and x=−4?

VLD [36.1K]

Answer:

g(x) = a(x - 23)(x + 4)

Step-by-step explanation:

Weren't there possible answer choices to share?

if this function has zeros at 23 and -4, then the function has the following form:

g(x) = a(x - 23)(x + 4)

3 0

3 years ago

What is the value of x in the equation -2.4x = 8.4?<br> -20.16<br> -3.5<br> 3.5<br> 20.16

ololo11 [35]

Answer:

Step-by-step explanation:

x = 8.4/-2.4 = -84/24 = -3.5

3 0

3 years ago

Read 2 more answers

Nahee is running around the circular track with equation x2+y2=10000 at a speed of 2.9 meters per second. She starts at the poin

Nana76 [90]

Answer:

The coordinates are (58.1, - 81.4).

Step-by-step explanation:

The distance traveled by Nahee after 13 minutes at the rate of 2.9 m/sec along the arc of the circle with equation x² + y² = 100², will be (13 × 60 × 2.9) = 2262 m

Now, the perimeter of the circle is 2πr = $2 \times \frac{22}{7}\times 100 = 628.57$ m

Therefore, after traveling three full circles and a half-circle the remaining arc length will be [2262 - (628.57 × 3) - (628.57 ÷ 2)] = 62 m

Therefore, Nahee will finish his run in the fourth quadrant.

Now, the angle made by the arc length of 62 m at the center will be = $\frac{360}{628.57}\times 62 = 35.512^{\circ}$

So, the angle made with positive x-axis will be (90° - 35.521°) = 54.488°

Now, the coordinates of the finishing point are (x,-y) = (rCos 54.488°, - rSin 54.488°) = (58.1, - 81.4) (Answer)

3 0

3 years ago