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arsen [322]
3 years ago
15

The length of a rectangle is 3 meters longer than the width. if the area is 36 square​ meters, find the​ rectangle's dimensions.

round to the nearest tenth of a meter.

Mathematics
1 answer:
kompoz [17]3 years ago
8 0
Here you are. you can see my explication.
have fun

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Draw a line through the origin that has a slope of 4/3
Ket [755]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

In this problem the given line represent a proportional relationship, because passes through the origin

we have

k=\frac{4}{3} --->  the constant of proportionality k is equal to the slope

substitute

The linear equation is

y=\frac{4}{3}x

To draw a line we need two points

we have (0,0)

To find the other point

assume  x=3 and substitute in the equation to solve for y

y=\frac{4}{3}(3)=4

so

The other point is (3,4)

using a graphing tool

Plot the points (0,0) and (3,4)

To graph the line join the points

see the attached figure

6 0
3 years ago
What is the equation when y=5x+4 is reflected over the x-axis, y-axis &amp; y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
(-9.5) to the power of 0
lukranit [14]
Whenever it’s to the power of 0 the answer is 1 but idk if it’s negative use photomath
5 0
3 years ago
Please help. Don’t understand this math problem!!!
anzhelika [568]

Answer:

the line will have a point at -5, as that is it's y- intercept, and the slope is one so each following point is one diagonal to it on the right side, as the slope is positive

Step-by-step explanation:

3 0
3 years ago
Simplify polynomial
Kay [80]

Answer:

j² - 5j²k - 2

Step-by-step explanation:

3j² - j²k - 6 - 4j²k - 2j² + 4

To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.

We have three groups of like terms:

The j-squares (j²), the j-squared k (j²k) and the constants (no variable).

Remember to include the negatives!

The j-squares are: 3j² ; -2j²

The j-squares k are: - j²k ; - 4j²k

The constants are: - 6 ; 4

Simplify:

3j² - j²k - 6 - 4j²k - 2j² + 4

Rearrange the polynomial by like terms

= (- j²k - 4j²k) +  (3j² - 2j²) + (- 6 + 4)

Add or subtract the like terms

= (-5j²k) + (j²) + (-2)

Remove brackets and rearrange so the negative is not first

= j² + - 5j²k + - 2

Simplify where two signs are together. Adding a negative is subtraction.

= j² - 5j²k - 2                  Simplified

8 0
3 years ago
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