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Tems11 [23]
3 years ago
15

The height of a triangle is 7 cm longer than its base.

Mathematics
1 answer:
katrin [286]3 years ago
6 0
A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B)  .5*height^2  -3.5*height = 60
B)  .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
**************************************************************
Double-Check
.5 * 15 * 8 = 60


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Let

x-----> the number of hours that Candice spent doing her homework

y-----> the number of hours that Ronald spent doing his homework

we know that

x=5\frac{1}{4}\ hours

convert mixed number to an improper fraction

5\frac{1}{4}\ hours=\frac{5*4+1}{4}= \frac{21}{4}\ hours

so

x=\frac{21}{4}\ hours -------> equation A

y=\frac{1}{2}x ------> equation B

Substitute equation A in equation B

y=\frac{1}{2}*\frac{21}{4}=\frac{21}{8}\ hours

convert an improper fraction to a mixed number

\frac{21}{8}\ hours=2.625=2+0.625=2+\frac{5}{8}=2\frac{5}{8}\ hours

therefore

<u>the answer is the option B</u>

2\frac{5}{8}\ hours

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Alisiya [41]

Answer:

43

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

(x + 3)² - 6

<em>x</em> = 4

<u>Step 2: Evaluate</u>

<em>Follow Order of Operations.</em>

  1. Substitute in <em>x</em> [Equation]:                                                                                (4 + 3)² - 6
  2. (Parenthesis) Add:                                                                                            7² - 6
  3. Exponents:                                                                                                        49 - 6
  4. Subtract:                                                                                                            43
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