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weqwewe [10]
3 years ago
15

Solve the following system of equations using elimination (multiplication)

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0
X= 3 y=3

(3)2x+y=9
4x-3y=3

6x+3y=27
4x-3y=3
——————
10x=30
—————-
10
x=3

2(3)+y=9
6+y=9
-6. -6
y=3
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A rectangle has a perimeter of 28 feet. The width of the rectangle is two foot less than the length of the rectangle. What is th
lozanna [386]

Step-by-step explanation:

perimeter of a rectangle = 2×length + 2×width = 28 ft

width = length - 2

length = width + 2

2×(width + 2) + 2×width = 28

2×width + 4 + 2×width = 28

4×width + 4 = 28

4×width = 24

width = 6 ft

and the length is width + 2 = 6+2 = 8 ft.

8 0
2 years ago
What are the coordinates of the vertex for the function shown below ?
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

<u>Differentitate:</u>

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

<u>Graph:</u>

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

6 0
3 years ago
PLEASE SHOW YOUR WORK!
storchak [24]
Why isn't it have height width and lenght <span />
4 0
3 years ago
Which of the following quantities are continuous?
Oxana [17]

Answer:

A. only II

Step-by-step explanation:

Mathematics calculus differentiates things into discrete and continuous. Discrete things have indivisible units, the example will be how many dogs in a village. There is no half dog, it's either one, two, etc. But the distance covered by train can be written as half miles, it's divisible unit.  

The number of books and bracelets also discrete, thus the answer is A.

4 0
3 years ago
Read 2 more answers
What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.
stich3 [128]

For a regular 17-gon, the measure of the internal angles is:

a =  158.8°

<h3>How to measure the internal angles?</h3>

The measure of the sum of the internal angles of a regular figure of N sides is:

(N - 2)*180°

For the case where N = 17, we have:

(17 - 2)*180° = 2,700°

That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:

2,700°/17 = 158.8°

If you want to learn more about angles, you can read:

brainly.com/question/17972372

4 0
2 years ago
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