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Vinil7 [7]
3 years ago
12

Solve the following system of equations by using the inverse of a matrix.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

(x, y, z) = (-8,4,-2)

Step-by-step explanation:

.......................................

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Help! asap!! 10 points! will give brainliest!!!
Mnenie [13.5K]

Using the Pythagorean Theorem, we have that the distance from home plate to second base is about 127 feet.

<h3>What is the Pythagorean Theorem?</h3>

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the <u>sum of the legs squared</u> of the triangle, according to the following equation:

h^2 = l_1^2 + l_2^2

The distance between each consecutive base is of 90 feet, hence the distance from home plate to 2nd base is the hypotenuse of a <u>right triangle in which the legs are of 90 feet</u>, being the distances from home plate to 1st base and 1st base to 2nd base.

Then:

h² = 90² + 90²

h = sqrt(90² + 90²)

h = 127 feet.

The distance from home plate to second base is about 127 feet.

More can be learned about the Pythagorean Theorem at brainly.com/question/654982

#SPJ1

7 0
11 months ago
How can you find the area of a two-dimensional composite figure, or the surface area of a three-dimensional composite figure?
goldenfox [79]

Step-by-step explanation:

<u>a. the area of a two-dimensional composite figure</u>

In this situation, we need to draw any necessary segments to view the figure as basic shapes, then:

  • Step 1: add basic shape areas belonging to the composite shape
  • Step 2: subtract basic shape areas NOT belonging to the composite shape

<u>b. the surface area of a three-dimensional composite figure</u>

As we know (3D) composite objects are made of two or more objects put together. To find the surface area of a 3D composite object, we need:

  • Step 1:  find the outside surface area of each object
  • Step 2: add the surface areas together

Hope it will find you well

8 0
3 years ago
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Butoxors [25]

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0
2 years ago
The human population of the earth can be modeled by p(T)=3.1(1.016)^t , where T represents the number of year since 1963 , and p
Mkey [24]

Answer:

  • See below

Step-by-step explanation:

<u>Given function:</u>

  • p(t)=3.1(1.016)^t

<u>The base of the growth rate is:</u>

  • 1.016 = 1 + 0.016

It represent a 1.6% of growth per year.

A.

  • Increasing

B.

<u>p(55) = 7.42 means:</u>

  • 55 years after 1963, in the year 2018, the population of Earth is 7.42 billions
7 0
2 years ago
Marta is making 3 servings of fruit salad.she adds 3/8 cup blueberries for each serving.her measuring cup holds 1/8 cup.how many
quester [9]
To solve this problem you must follow the proccedure shown below:

 1. You have the following information given in the problem above:

 - <span>Marta is making 3 servings of fruit salad.
 - Marta adds 3/8 cups blueberries for each serving.
 - Her measuring cup holds 1/8 cup.

 2. Then, you have:

 1 time----1/8 cup 
         x----3/8 cups

 x=(3/8)/(1/8)

 x= 3x8/1x8
 x=24/8
 x=3 times

 H</span><span>ow many times must Marta measure 1/8 cup of blueberry to have enough for the fruit salad?

 The answer is: 3 times</span>
3 0
3 years ago
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