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3 years ago

Solve the system of linear equations below.

Mathematics

1 answer:

uysha [10]3 years ago

3 0

Answer:

x=−7/39 and y=14/39 :))

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What are the Properties of real numbers for 6425

Gnesinka [82]

Step-by-step explanation:

Properties of the number 6425

Factorization5 * 5 * 257Square root80.156097709407Natural logarithm8.7679519097634Decimal logarithm3.8078731320033Sine-0.42867294834975

6 0

3 years ago

What is the value of x? <br><br> enter your answer in the box

anastassius [24]

Answer:

x = +/-10°

Step-by-step explanation:

[2(x+10)]°=

[2x + 20] =

[2x] = [-20]

2x/2 = -20/2

x = -10

(3x - 30)°

3x/3 = 30/3

x = 10

5 0

3 years ago

Read 2 more answers

The surface area of a cylinder is 432 pi yd2. The height of the cylinder is five times the radius. What is the diameter of the c

GrogVix [38]

Since the surface area of this cylinder is $432\pi \;yd^2$ , its diameter is equal to 12 yards.

<h3>How to calculate surface area.</h3>

Mathematically, the surface area (SA) of a cylinder is given by this formula:

$S.A = 2\pi rh + 2\pi r^2$

<u>Where:</u>

h is the height.

r is the radius.

<u>Given the following data:</u>

Surface area of cylinder = $432\pi \;yd^2$

Height = 5r.

Substituting the given parameters into the formula, we have;

$432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}$

r = 6 yards.

<u>For the diameter:</u>

Diamter = 2 x radius

Diamter = 2 x 6

Diameter = 12 yards.

Read more on surface area here: brainly.com/question/21367171

4 0

3 years ago

the length of one side of a square field is represented by the expression 3 - 7 x what is an expression for the perimeter of the

iragen [17]

4(3-7x). Since there are 4 sides in a square, you multiply one length by 4 to get the perimeter. 4(3-7x) simplifys to 12-28x.

3 0

3 years ago

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

6 0

3 years ago