The equation of a line is 4x−3y=−24. What is the x-intercept of the line?

A rectangle has a width of 12 ft and a length of 4 ft. What is the effect on the perimeter when the dimensions are multiplied by

fiasKO [112]

The original perimeter is 32ft.
The dimensions of the new rectangle are 72 ft wide and 24 ft long.
The new perimeter is 192 ft.
When the dimensions are multiplied by 6, the perimeter also multiplied by 6.

5 0

3 years ago

In step 7, you listed three elements commonly listed in charts. what are all of those options? check all that apply. data points

Vanyuwa [196]

Data points
a data series
an x axis
a y axis
a legend

hope this helps (:

7 0

3 years ago

Find the length of side x in the simplest radical form with a rational denominator.

krok68 [10]

Answer:

$\sqrt{2}$

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

$tan(45)=\frac{x}{\sqrt{2}}$

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by $\sqrt{2}$ . $\sqrt{2}$ multiplied by itself is simply 2. Try it! We also want to multiply the numerator by $\sqrt{2}$ , but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

$tan(45)=\frac{x\sqrt{2} }{2}$

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

$\frac{x\sqrt{2} }{2*2} =x\sqrt{2}$

$tan(45)*2=2$

We can plug 2 in for the x in the numerator now:

$\frac{2\sqrt{2} }{2}$

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of $x=\sqrt{2}$

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0

3 years ago

5x² + 3y when x =-2 and y = 10

Vera_Pavlovna [14]

Answer:

50

Step-by-step explanation:

When a number is next to a variable, such as 5x, this means you will multiply them(five times x). With x being -2, we will multiply -2 x -2 = 4. the exponent tells you how many times to multiply a number by itself. If the exponent was 5, we would multiply 2 by itself 5 times to get 10. Since we got 4 for our answer, we will multiply that by since it was an exponent and we multiply it. 4 x 5 = 20. Since we know that we multiply numbers next to variables, we will multiply 3y or 3(10). 3 x 10 = 30. Add this to 20 to get your answer. 20 + 30 = 50.

Hope this helps :)

6 0

3 years ago

Select the correct answer.

photoshop1234 [79]

Answer:

A.

General Formulas and Concepts:

Math

Fraction conversions to decimal

Algebra I

Reading a Cartesian plane
Coordinates (x, y)

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

5/2 would be 2.5 and 4/3 would be approximately 1.333.

Our (x, y) for the graph is (2.405, 1.357), so our answer would be A.

7 0

3 years ago