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Blizzard [7]
3 years ago
8

What is the surface area of this design

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0

Step-by-step explanation:

(top square) 5*5=25

(2 side trapezoids) 2((5+9)/2 * 5) = 35

(side rectangle) 6.4*5=32

(side square) 5*5=25

(bottom rectangle) 9*5=45

SA= 25+35+32+25+45

SA= 162cm^2

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Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)
Juliette [100K]

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                               (f - g)(x) = x² - 2x - 63 - (x + 7)
  2. Distribute -1:                            (f - g)(x) = x² - 2x - 63 - x - 7
  3. Combine like terms (x):          (f - g)(x) = x² - 3x - 63 - 7
  4. Combine like terms (Z):          (f - g)(x) = x² - 3x - 70
3 0
3 years ago
3(12+b)=3•12+3•b
Olegator [25]
Distributive. The multiplication is distributed across the addition.
5 0
3 years ago
Match the vocabulary word to its correct definition. 1. compound inequality a statement formed by two or more inequalities 2. li
padilas [110]
Its 
compound inequality = a statement formed by two or more inequalities
linear inequality= an open sentence of the form Ax + By + C < 0 or Ax + By + C > 0 and the other is <span>literal equation<span>an = equation containing more than one variable</span></span>
7 0
3 years ago
In the proportion above, what is the value of x? 4 5 40 50
Veronika [31]
<h2>The value of x = 36</h2>

Step-by-step explanation:

We have,

x, 45, 40 and 50 are in a proportion.

x : 45 : : 40 : 50

To find, the value of x = ?

We know that,

a : b : : c : d

Product of means = Product of extremes

a × d = b × c

∴ a × d = x × 50

Also,

b × c = 45 × 40

∴ x × 50 = 45 × 40

⇒ x = \dfrac{45 \times 40}{50}

⇒ x = \dfrac{45 \times 4}{5}

⇒ x = 9 × 4 = 36

∴ The value of x = 36

5 0
3 years ago
Read 2 more answers
The ratio of cups of sugar to cups of chocolate chips in a recipe is 2 : 4 if 36 cups of these ingredients are used, how many cu
ololo11 [35]
Data:

\frac{sugar}{chocolate} = \frac{2}{4}
<span>cups of these ingredients = 36
</span>
Solving:

\frac{S}{2} + \frac{C}{4} =  \frac{36}{6}

\frac{S}{2} =  \frac{36}{6}
6*S = 2*36
6S = 72
S =  \frac{72}{6}
\boxed{S = 12}


\frac{C}{4} = \frac{36}{6}
6*C = 4*36
6S = 144
C = \frac{144}{6}
\boxed{C = 24}

So:
cups of these ingredients = 36
S+C = 12+24 = 36 (True)

<span>How many cups were sugar ?
</span>
\boxed{Sugar Cups = 12}
8 0
4 years ago
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