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3 years ago

Separate the x- and y-values with a comma. X=-3+y 26x - 5y = 6

Mathematics

1 answer:

labwork [276]3 years ago

5 0

Answer:

The solution of the given system is (x,y) = (1,4)

Step-by-step explanation:

Here, the given system of equation is:

x = -3 + y

26 x - 5 y = 6

Now, substitute x = -3 + y in the second equation , we get

26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6

or, 26(-3) + 26(y) - 5y = 6

⇒ - 78 + 26 y - 5y = 6

⇒ 21 y = 84

⇒ y = 84 / 21 = 4 or , y = 4

So x = -3 + y = -3 + 4 = 1

Hence, the solution of the given system is (x,y) = (1,4)

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Circle A has a diameter of 9 cm Circle B has a radius of 5 cm which Circle has the largest circumference and about how many cent

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Answer:

circle b and it is bigger by 1 centimeter

Step-by-step explanation:

since circle b has a radius of 5 and radius is have of the diameter you have to do 5+5 to get the diameter when you do that you get 10 and then you have to subtract circle a diameter which is 9 from circle b diameter which is 10 so 10-9 is 1

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3 years ago

Find the area of the figure. If needed, round to the nearest tenth.

Umnica [9.8K]

Answer:

$18 \:ft^2$

Step-by-step explanation:

The area of a trapezoid.

$(a+b)h\frac{1}{2}$

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3 years ago

67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

<u>2) Determine the y-intercept</u>

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

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3 years ago

a store buys a jacket for$20.00 and then sells it for 80% more what is the selling price for the jacket

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3 years ago

Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec

charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴ = 2⁽³⁻⁴⁾

2³ × 2⁻⁴ = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

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The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

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2 years ago