Ask question

Ask question

All categories

3 years ago

8

The area of a particular rectangle is 72. If the length of the rectangle is twice

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer:

6

Step-by-step explanation:

Suppose the width is "a". Then the length is 2a.

2(a²) =72 Divide both sides by 2

a²= 36

a=6

You might be interested in

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater

sineoko [7]

Answer: Function 1 has the larger maximum at (4,1).

Step-by-step explanation:

The vertex of f(x) is at $x=-\frac{2}{2(-1)}=1$ , and $f(1)=-2$ .

For the graph, the maximum is obviously at (4,1).

So, Function 1 has the larger maximum at (4,1).

3 0

2 years ago

five times the sum of the digits of a two digit number is 9 less than the number formed by reversing its digits . if four times

TEA [102]

9514 1404 393

Answer:

45

Step-by-step explanation:

Let x and y represent the tens and ones digits, respectively. The 5 times the sum of digits is 5(x+y). The value of the digit-reversed number is (10y+x), so the required relation is ...

5(x +y) = (10y +x) -9

The other relationship between the digits is given as ...

4y = 1/2(10x)

A graphing calculator shows the solution to these equations is (x, y) = (4, 5).

The two-digit number is 45.

__

<em>Additional comment</em>

You can solve these equations in any of a variety of ways. Using a graphing calculator to find integer solutions is fast and easy, so is one of my favorites. Here, the coefficients on one equation are not easy multiples of those in the other, so substitution and/or elimination can get messy. In this situation, I like to use the "cross-multiplication" method, which starts with the equations in general form:

4x -5y +9 = 0
5x -4y +0 = 0

From the coefficients of these equations, differences of cross products are formed:

d1 = 4(-4) -(5)(-5) = 9
d2 = -5(0) -(-4)(9) = 36
d3 = 9(5) -0(4) = 45

Then the solutions are the solutions to 1/d1 = x/d2 = y/d3:

x = d2/d1 = 36/9 = 4
y= d3/d1 = 45/9 = 5

(x, y) = (4, 5) ⇒ the number is 45.

__

This method is one of several variations of Cramer's Rule, the general solution of systems of linear equations using matrix methods.

7 0

3 years ago

Find the acute angle

Scrat [10]

Answer:

22°

Step-by-step explanation:

Since the triangle is right use the sine ratio

sinQ = $\frac{opposite}{hypotenuse}$ = $\frac{7}{19}$ , hence

Q = $sin^{-1}$ ( $\frac{7}{19}$ ) = 22° ( nearest degree )

5 0

3 years ago

Read 2 more answers

Fiona buys different amounts of gas at 2.25. She has a graph which shows the different amounts she should pay. What constraints

alisha [4.7K]

After finding the function, the domain of the function should be [0, ∞].

In the given question we have to find the what constraints are there on the domain of the function.

From the question, Fiona buys different amounts of gas at 2.25.

As we know that the set of input values that function take are the domain of the function.

The domain of the function is [0, ∞].

The given rate = 2.25

Let the gallons of gas is x.

So the amount of the gas in the form of function is

f(x) = Rate*x

f(x) = 2.25x

As the amount of gas can't be negative. So the domain of the function should be [0, ∞].

To learn more about function link is here

brainly.com/question/21145944

#SPJ1

5 0

1 year ago

Use Transformation to solve the equation.

nikitadnepr [17]

Hey!

---------------------------------------------------

Question #1:

b + 0.6 = -1

b + 0.6 - 0.6 = -1 - 0.6

b = -1.6

Answer:

$\boxed{ \bf b~=~-1.6}$

---------------------------------------------------

Question #2:

y - 0.6 = -1.8

y + (-0.6) + 0.6 = 1.8 + 0.6

y = -1.2

Answer:

$\boxed{ \bf y~=~-1.2}$

---------------------------------------------------

Question #3:

n + 11.5 = -29

n + 11.5 - 11.5 = -29 - 11.5

n = -40.5

Answer:

$\boxed{ \bf n~=~-40.5}$

---------------------------------------------------

Question #4:

e - 14.4 = -20.8

e - 14.4 + 14.4 = -20.8 + 14.4

e = -6.4

Answer:

$\boxed{ \bf e~=~-6.4}$

---------------------------------------------------

Hope This Helped! Good Luck!

8 0

3 years ago