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4 years ago

What is the solution of the following system?

1 answer:

3 0

Step 1 add -3y to both sides
3x+3y+-3y=10+-3y
3x=-3y+10
Step 2 divide both sides by 3
3x/3= -3y+10/3

The answer is x= -y +10/3

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Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched b

Fofino [41]

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = $\sqrt{495}$

a = $\sqrt{9}$ · $\sqrt{55}$ = 3 $\sqrt{55}$ , which is approx 22.25

6 0

3 years ago

Read 2 more answers

If BD = 4, AD = x-6, and CD = x, what is the length of CD?

emmainna [20.7K]

Answer:

The length of CD is 8 units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

According to the Right Triangle Altitude Theorem,

$(BD)^2 = (AD)(CD)$

substitute the given values

$(4)^2 = (x-6)(x)$

$16=x^2-6x\\x^2-6x-16=0$

solve the quadratic equation by graphing

The solution is x=8 or x=-6

see the attached figure N 2

Discard the negative length.

therefore

The length of CD is 8 units

8 0

3 years ago

Enrique left the study group traveling 20 mph. Then, 2 hours later, Tevin left traveling the same direction at 28 mph. How long

nadya68 [22]

Answer:

After 7 hours Tevin will catch Enrique

Step-by-step explanation:

We have given speed of Enrique is 20 mph

Tevin left traveling after 2 hours of Enrique

Speed of Tevin is 28 mph

When Tevin catches Enrique will cover same distance

Let Enrique is traveling for t hours

Then Tevin will travel for t-2 hours

We know that distance = speed × time

So $20\times t=28\times (t-2)$

$20t=28t-56$

$8t=56$

t = 7 hours

So after 7 hours Tevin will catch Enrique

4 0

4 years ago

Of the labeled points, which represents the animal

Paha777 [63]

The ratio of life expectancy to gestation period is greatest at point (A) A.

<h3>What is life expectancy?</h3>

Life expectancy is a statistical measure of how long an organism is expected to live based on its birth year, current age, and other demographic factors such as gender.
The most commonly used metric is life expectancy at birth (LEB), which has two definitions.

To find the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest:

The graph below shows life expectancy on the y-axis and gestation period on the x-axis.
The life expectancy to gestation period ratio for point A is 7/22.5 = 14/45.
For point B, the ratio is 8/45.
Because the y coordinate is greater at Y than at X, which has the same x coordinate, we only consider the ratio at D, which is 10/51.
Since 14/45 > 8/45, we only have to compare 14/45 and 10/51.
So, 14 × 51 = 714 and 45 × 10 = 450.
Then, 14/45 > 10/51.

Therefore, the ratio of life expectancy to gestation period is greatest at point (A) A.

Know more about life expectancy here:

brainly.com/question/4648168

#SPJ4

The correct question is given below:
Of the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest?

A) A

B) B

C) C

D) D

8 0

2 years ago

How to turn a fraction into a decimal

Fofino [41]

Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.

7 0

4 years ago

Read 2 more answers