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sesenic [268]
3 years ago
10

How to do 7z2 5z4 d3 d8

Mathematics
1 answer:
NISA [10]3 years ago
7 0

Answer:

35{z}^{6}  \cdot \:  {d}^{11}

Step-by-step explanation:

Let us assume , we want to find the product of

7 {z}^{2}  \cdot \: 5 {z}^{4}  \cdot \:  {d}^{3}  \cdot \:  {d}^{8}

We rewrite as:

7  \times 5{z}^{2}  \cdot \:  {z}^{4}  \cdot \:  {d}^{3}  \cdot \:  {d}^{8}

We multiply coefficients and apply the product rule of exponents.

According to the product rule, when the base is the same for a product, we write one base and add the exponents.

35{z}^{2 + 4}  \cdot \:  {d}^{3 + 8}

We simplify the exponents to get;

35{z}^{6}  \cdot \:  {d}^{11}

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3 years ago
Solve for x. x/7=-3 <br> -21<br> -10<br> 4<br> 21
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3 years ago
A.How far is the library from the park?<br> B.How far is the park from the football field?
Scorpion4ik [409]

Answer:

a. The distance from the library to the park is 2√5 miles

b. The distance from the park to the football field is 2√35 miles

The last answer ⇒ 2√5 miles , 2√35 miles

Step-by-step explanation:

* Lets revise the rules in the right angle triangle when we draw the

 perpendicular from the right angle to the hypotenuse

- In triangle ABC

# Angle B is a right angle

# The hypotenuse is AC

# BD ⊥ AC

∴ (AB)² = AD × AC

∴ (BC)² = CD × AC

∴ (BD)² = AD × CD

∴ BD × AC = AB × BC

* Lets use one of these rules to solve the problem

- Vertex B represents the position of the park

- Vertex A represents the position of the home

- Vertex C represents the position of the football field

- Vertex D represents the position of the library

- AB represents the distance from the home to the park

- CB represents the distance from the football field to the park

- DB represents the distance from the library to the park

- AC represents the distance from the home to the football field

- AD represents the distance from the home to the library

- CD represents the distance from the football field to the library

* Now lets solve the problem

a.

∵ The distance from the home to the library is 4 miles

∴ AD = 4

∵ The distance from the football field to the library is 10 miles

∴ CD = 10

∵ The distance from the library to the park represented by BD

- Lets use the rule (BD)² = AD × CD

∴ (BD)² = 4 × 10 = 40 ⇒ take √ for both sides

∴ BD = √40 = 2√5 miles

* The distance from the library to the park is 2√5 miles

b.

∵ The distance from the park to the football field represented by BC

* Lets use the rule (BC)² = CD × AC

∵ CD = 10

∵ AC = 4 + 10 = 14

∴ (BC)² = 10 × 14 = 140 ⇒ take √ for both sides

∴ BC = √140 = 2√35 miles

* The distance from the park to the football field is 2√35 miles

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3 years ago
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