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Soloha48 [4]
3 years ago
8

find the positive value of k that would make he left side of the equation a perfect square trinomial x^2-kx+64

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer: 16

<u>Explanation:</u>

x² - kx + 64

Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8

So, the factors are: (x - 8)(x - 8)

Foil (or distribute) to get: x² - 16x + 64 <em>The k-value is 16</em>

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Tom wants to buy some protein bars and magazines for a trip he has decided to buy three times as many protein bars with magazine
kumpel [21]

Answer:12 Protein bar and 3 magazines

Step-by-step explanation:

Given

Tom purchases Protein bars 3 times as much as magazine

Each bar cost  \$ 0.7

Each magazine costs \$ 2.50

Sales tax is 6.5 %

suppose Tom buy x magazines so

Price of magazine is 2.5 x

Price of bars is 3\times 0.7x=2.1 x

Total Price=2.5 x+2.1 x=4.6 x

After sales tax =4.6x(1+0.065)=4.899 x

This must be less than \$ 20

so 4.899x < 20

x< 4.082

thus x=4

so he but 4 magazines and 12 protein bars

3 0
3 years ago
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bearhunter [10]
130 you multiply the left side by 13 to get the right side.
8 0
2 years ago
Geometric mean between 9 and 36
nlexa [21]
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4 0
3 years ago
Simplify (6⁵/7³) ²<br><br>a 6⁷ / 7¹⁰<br>b 6¹⁰ / 7⁶<br>c 6³ / 7<br>d 12⁵ / 14³​
Tema [17]

Answer:

b. 6¹⁰ / 7⁶

Step-by-step explanation:

(6⁵/7³)²

6 × 6 × 6 × 6 × 6 = 7776

7 × 7 × 7 = 343

(7776/343)²

7776²/343²

7776 × 7776 = <u>60.466.176</u>

343 × 343 = <u>117.649</u>

6¹⁰/7⁶

6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60.466.176

7 × 7 × 7 × 7 × 7 × 7 = 117.649

6¹⁰ = 7776²

7⁶ = 343²

= <u>b</u><u>.</u><u> 6¹⁰ / 7⁶</u>

7 0
1 year ago
Which net represents this solid figure?
pishuonlain [190]

Answer:

i'm going to say option 3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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