Find the distance between the points (-2, -10) and (3, -2)

Solve the problem algebraically. Clearly define all variables, write an appropriate equation, and solve.

hichkok12 [17]

Answer:

Y=8 and X=21

Step-by-step explanation:

The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations). Make a table and add to it as you do problems:

is means =

more than +

twice 2*x

sum +

of usually means multiply

...

Assign variables. Try to assign variables to the values the problem asks you to find.

In this problem, there are two variables. Let x = one number; y = other numbers

Translate:

"One number is 5 more than twice the other number" means

x = 5 + 2 * y

"sum of the two numbers is 29" means

x + y = 29

Now, the easy math.

Use the value for x from the first equation and substitute that into the second equation:

(5 + 2y) + y = 29

5 + 3y = 29 (collect terms)

3y = 24 (subtract 5 from both sides)

y = 8

Now, put that value of y into either equation to solve for x (Which equation is easier??)

x + 8 = 29

x = 21 (subtract 8 from both sides)

Checking (very important):

Is 21 really 5 more than 2(8)?

21 = 5+16 ?

21 = 21? yes

Is 21 + 8 = 29 ?

29 = 29? yes

p.s., learn the process, don't just get the right answer; there will be lots of problems that are solved the same way!

3 0

1 year ago

What is 1000000000000+10000000000000000078787787878

Alex777 [14]

<span>10000000000000000078787787878
</span><span> + 1000000000000
= </span>10000000000000001078787787878

I feel like think was a troll question, but still did it anyway.

6 0

4 years ago

What is the weight of a ring tailed lemur that has a mass of 10 kg? Use w = mg (g = -9.8 m/s^2)

fiasKO [112]

Answer:

None of these

Step-by-step explanation:

Normally, we consider "weight" to be the force due to gravity that an object exerts in the downward direction. It has a positive value equal to the magnitude of "mg". In this instance, it would be ...

... |(10 kg)·(-9.8 N/kg)| = |-98 N| = 98 N

___

However, you're specifically told to use ...

... w = mg

... w = (10 kg)(-9.8 m/s²) = -98 N

This selection is not among those offered.

8 0

4 years ago

Find the volume of the triangular prism.

Anna35 [415]

First you find the area of the front face 1/2bh or in you case 10x12=120 1/2 of 120 is 60 next you multiply 60 by 20 to get 1,200 for the voulume

3 0

4 years ago

A group of adult males has foot lengths with a mean of 26.88 cm and a standard deviation of 1.13 cm. Use the range rule of thumb

kompoz [17]

Answer:

The adult male foot length of 24.3 cm is significantly low.

Step-by-step explanation:

We have been given that a group of adult males has foot lengths with a mean of 26.88 cm and a standard deviation of 1.13 cm. We are asked to find the range rule of thumb to determine whether he adult male foot length of 24.3 cm significantly low or significantly high.

The range rule of thumb states that usual values in a normal standard deviation lies within 2 standard deviation from mean that is $\mu-2\sigma$ , where $\mu=\text{ Mean and }\sigma=\text{Standard deviation}$ .

Let us find the range of possible values.

$28.88-2(1.13)$

$28.88-2.26$

$26.62$

Since 24.3 is less than lower value of range (26.62), therefore, the adult male foot length of 24.3 cm is significantly low.

7 0

3 years ago