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Helga [31]
2 years ago
13

What is the value of x? Original 9 inches - 6 feet Enlargement 12 inches - x feet

Mathematics
1 answer:
ololo11 [35]2 years ago
5 0

Answer:

Step-by-step explanation:

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How many solutions is in x + 5 = 0
Natasha_Volkova [10]

Answer:

1 answer which would be -5+5 which =0

Step-by-step explanation:

8 0
3 years ago
Solve the following equation by completing the square. 3x^2-3x-5=13
mr Goodwill [35]

we'll start off by grouping some

\bf 3x^2-3x-5=13\implies (3x^2-3x)-5=13\implies 3(x^2-x)-5=13 \\\\\\ 3(x^2-x)=18\implies (x^2-x)=\cfrac{18}{3}\implies (x^2-x)=6\implies (x^2-x+~?^2)=6

so we have a missing guy at the end in order to get the a perfect square trinomial from that group, hmmm, what is it anyway?

well, let's recall that a perfect square trinomial is

\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2

so we know that the middle term in the trinomial, is really 2 times the other two without the exponent, well, in our case, the middle term is just "x", well is really -x, but we'll add the minus later, we only use the positive coefficient and variable, so we'll use "x" to find the last term.

\bf \stackrel{\textit{middle term}}{2(x)(?)}=\stackrel{\textit{middle term}}{x}\implies ?=\cfrac{x}{2x}\implies ?=\cfrac{1}{2}

so, there's our fellow, however, let's recall that all we're doing is borrowing from our very good friend Mr Zero, 0, so if we add (1/2)², we also have to subtract (1/2)²

\bf \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2-\left[ \cfrac{1}{2} \right]^2 \right)=6\implies \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2 \right)-\left[ \cfrac{1}{2} \right]^2=6 \\\\\\ \left(x-\cfrac{1}{2} \right)^2=6+\cfrac{1}{4}\implies \left(x-\cfrac{1}{2} \right)^2=\cfrac{25}{4}\implies x-\cfrac{1}{2}=\sqrt{\cfrac{25}{4}} \\\\\\ x-\cfrac{1}{2}=\cfrac{\sqrt{25}}{\sqrt{4}}\implies x-\cfrac{1}{2}=\cfrac{5}{2}\implies x=\cfrac{5}{2}+\cfrac{1}{2}\implies x=\cfrac{6}{2}\implies \boxed{x=3}

6 0
3 years ago
What % of $100 = $90
Harlamova29_29 [7]

Answer: 90%

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A toy falls from a window 80 feet above the ground. How long does it take the toy to hit the​ ground?
andrew11 [14]

Answer:

2.24 s

Step-by-step explanation:

Given:

Δy = 80 ft

v₀ = 0 ft/s

a = 32 ft/s²

Find: t

Δy = v₀ t + ½ at²

80 ft = (0 ft/s) t + ½ (32 ft/s²) t²

t = 2.24 s

6 0
3 years ago
May I please get help with my math lesson if possible I don't know why they are 4 answers if 1 of the answers don't apply to any
Doss [256]

Answer: S1:E7 ; S2:E1 ; S3:E5

Step-by-step explanation:

What we know:

  • 3 answers apply
  • We need to find which answers go with each question

**A lot of info is problem-specific.

How to solve:

Since we only need to write the equations, we simply need to find the x and y variables, and the total.

Process:

Problem 1:

  • Find the x                                                                     5.50
  • Find the y                                                                     3
  • Find the total                                                                145
  • Write equation                                                      5.50 + 3 = 145

Problem 2:

  • Find the x                                                                     2.50
  • Find the y                                                                     0.75
  • Find the total                                                                25
  • Write equation                                                      2.50 + 0.75 = 25

Problem 3:

  • Find the x                                                                     2
  • Find the y                                                                     5
  • Find the total                                                                50
  • Write equation                                                        2 + 5 = 50

Solution: S1:E7 ; S2:E1 ; S3:E5

8 0
2 years ago
Read 2 more answers
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