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ExtremeBDS [4]
3 years ago
5

Consider the system of equations

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0
Addition property of equality
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Find the missing length indicated. Leave your answer in simplest radical form.
Dafna11 [192]

Answer:

C) 25

Step-by-step explanation:

First, solve for the height (red dotted line) using the Pythagorean theorem 9²+b²=15²

81+b²=225

b²=225-81

b²=12

Then set up a ratio.

x/12=9/15

simplify

x/12=3/5

cross-multiply

3x=60

x=20

This gives us the base.  Now we can solve for x using the Pythagorean theorem again.

20²+15²=x²

400+225=x²

625=x²

√x²=√625

x=25

6 0
3 years ago
(Writing Two-Step Equations HC) Given the equation 4x + 12 = 64: Part A: Write a short word problem about a purchase made to ill
poizon [28]

Considering the expression 4x + 12 = 64, it is found that:

A. The problem is that you purchased x fried pastry, costing $4, plus a chocolate and a soda, costing $12, and the total purchase cost was of $64.

B. The solution is x = 13.

C. The solution means that you purchased 13 fried pastry.

<h3>Expression</h3>


The expression is presented as follows:

4x + 12 = 64.

A possible context for this problem is:

  • x fried pastry are purchased, each costing $4, hence 4x.
  • A chocolate and a soda purchased, costing a total of 12, hence 4x + 12.
  • The total cost of the purchase was of $64, hence 4x + 12 = 64.

The number of fried pastry purchased is the solution to the equation, calculated as follows:

4x + 12 = 64

4x = 52

x = 52/4

x = 13 -> 13 fried pastry were purchased.

More can be learned about expressions at brainly.com/question/24342899

#SPJ1

5 0
2 years ago
What do you add to make 5 2/7 to make 7?
torisob [31]
Umm subtract 7 from 5 2/7 and u will get 12/7
Therefore, the answer is 12/7
5 0
3 years ago
In your own words explain why a quadratic<br> equation can't have one imaginary solution.
Masja [62]
A quadratic equation cannot have one imaginary solution because of the discriminant enclosed in a radical. The discriminant, √(b² - 4ac), determines the nature of the roots and it can only be either 2 real roots, 1 real solution or 2 imaginary roots. Hope this answers the question.
7 0
3 years ago
A person owns two shops. This year the telephone bill for the first shop was $580 less than three times the telephone bill for t
Sindrei [870]

Answer:

Step-by-step explanation:

4 0
3 years ago
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