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2 years ago

Which of the following is a true equation?

Mathematics

2 answers:

leonid [27]2 years ago

7 0

Your correct answer is your firs option. i hope this helped

KIM [24]2 years ago

4 0

4 + 3 - 3 = 7 - 3
4 = 4

answer

3) 4 + 3 - 3 = 7 - 3

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a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?

SashulF [63]

A = (1/2)(x)(y)

Let x = diagonal 1

Let y = diagonal 2

The product of xy = 144.

This means that x = 12 and y = 12.

So, 12 • 12 = 144

Each diagonal is 12 feet.

Prove:

72 feet = (1/2)(12)(12) feet

72 feet = (1/2)(144) feet

72 feet = 72 feet

6 0

3 years ago

How would you solve this? help.

Eddi Din [679]

Answer:

Center: (3,3)

Radius: $2\sqrt{5}$

Step-by-step explanation:

Midpoint and Distance Between two Points

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The distance between both points is given by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

$\displaystyle x_m=\frac{5+1}{2}=\frac{6}{2}=3$

$\displaystyle y_m=\frac{7-1}{2}=\frac{6}{2}=3$

Center of circle C: (3,3)

The radius of C is half the distance between A and B:

$d=\sqrt{(1-5)^2+(-1-7)^2}$

$d=\sqrt{16+64}=\sqrt{80}=\sqrt{16*5}=4\sqrt{5}$

The radius of C is d/2:

$r =4\sqrt{5}/2 = 2\sqrt{5}$

Center: (3,3)

Radius: $2\sqrt{5}$

8 0

3 years ago

At a clothing store, jackets are on sale for 30% off. Sales tax is 5%. Which expression will calculate the total cost of a jacke

VLD [36.1K]

Answer: B.x(0.75)

Step-by-step explanation:

If the jacket has a cost of $x$ , but has $30\%$ off and we have to add the $5\%$ in tax, we can write all in the following expression:

$x-30\% x+5\%x$

Where:

$x$ is the cost

$30\% x=\frac{30}{100}x=0.3 x$ is the percent off

$5\%x=\frac{5}{100}x=0.05x$ is the tax

Then:

$x-0.3 x+0.05 x=0.75 x$

This can be also rewritten as:

$x(0.75)$

Hence, the correct option is B.

3 0

3 years ago

The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years

kompoz [17]

Answer:

The correct answer is " $0.300993e^{-0.300993x}$ ".

Step-by-step explanation:

According to the question,

⇒ $P(x>4)=0.3$

We know that,

⇒ $P(X > x) = e^{(-\lambda\times x)}$

⇒ $e^{(-\lambda\times 4)} = 0.3$

∵ $\lambda = 0.300993$

Now,

⇒ $f(x) = \lambda e^{-\lambda x}$

By putting the value, we get

$=0.300993e^{-0.300993x}$

3 0

2 years ago

Write an inequality for the following statement : "you have to be at least 18 years old to vote. "

Svetllana [295]

Thats not the case in other countries, just the us

7 0

3 years ago

Read 2 more answers