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mrs_skeptik [129]
2 years ago
8

What is the vertex of the graph shown below? Write your answer in the form (x,y).

Mathematics
1 answer:
Leni [432]2 years ago
3 0

Answer:(-3,-1.5)

Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).

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Lisa spends 1/5 of an hour doing her math homework and 1/3 of an hour doing her social studies homework. What fraction of an hou
Sveta_85 [38]
To solve this, all you have to do is add 1/5 and 1/3.
Well, you might be thinking, "But the denominators are not the same! Fractions have to have like denominators in order to be added together!" And you are right. So, all we have to do, is make them both have the same denominator. To do this, we have to multiply both the numerator and denominator by the same number to find an equivalent fraction.
For 1/5, we can multiply both the numerator and denominator by 3, to get 3/15. 
Likewise, we can multiply both the numerator and denominator of 1/3 by 5, to get 5/15.
Now, you can easily add 3/15 and 5/15 because all you have to do is add the numerators, because the denominators are the same!
3/15+5/15=8/15, so she spends 8/15 hour on her math and social studies homework.
Hope I helped!
3 0
3 years ago
A construction crew has just finished building a road. the crew worked for 10 days. if they build 2 3/4 kilometers of road each
tatuchka [14]
2.75 x 10 = 27.5 or 27 1/2 kilometers total
7 0
3 years ago
Read 2 more answers
Anyone know this one?
vodomira [7]

Answer:

yes

Step-by-step explanation:

draw 4 colors red..............your trun.............

5 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
valentinak56 [21]

Answer:

x = 6

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Expand by FOIL (First Outside Inside Last)
  • Factoring
  • Multiple Roots

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Identify</u>

<em>a</em> = x + 3

<em>b</em> = x

<em>c</em> = √117

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                                                                                                (x + 3)² + x² = (√117)²
  2. Expand [FOIL]:                                                                                                 x² + 6x + 9 + x² = (√117)²
  3. Combine like terms:                                                                                       2x² + 6x + 9 = (√117)²
  4. Exponents:                                                                                                      2x² + 6x + 9 = 117
  5. [SPE] Subtract 117 on both sides:                                                                    2x² + 6x - 108 = 0
  6. Factor out GCF:                                                                                               2(x² + 3x - 54) = 0
  7. [DPE] Divide 2 on both sides:                                                                         x² + 3x - 54 = 0
  8. Factor Quadratic:                                                                                            (x - 6)(x + 9) = 0
  9. Solve roots/solve <em>x</em>:                                                                                         x = -9, 6

Since we are dealing with positive values, we can disregard the negative root.

∴ x = 6

4 0
3 years ago
If (-3+y) is positive, but (-9+y) is negative, what is one number that y could be? *
sukhopar [10]

Answer:

it could be any number less then 9 so examples would be 8,7,6,5,4,3,2,1 so on so forth

6 0
3 years ago
Read 2 more answers
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