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Elden [556K]
3 years ago
12

Write x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0
X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4,   (-4)^2 = 16,  add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3
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If f(x)=4(3x-5), find f^-1(x)
Margaret [11]

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

3 0
2 years ago
1/7 x X =1 <br> X x 1/11=1<br> 1 divided by 1/5=
guajiro [1.7K]

Answer:

  1. x = 7
  2. x = 11
  3. 5

Step-by-step explanation:

\frac{1}{7}  \times x = 1

7 \times  \frac{1}{7} x = 7 \times 1

7 \times  \frac{1}{7} x = 7

\boxed{\green{x = 7}}

◇◇•◇◇

x \times  \frac{1}{11}  = 1

\frac{1}{11} x  = 1

11 \times  \frac{1}{11} x = 11 \times 1

11 \times  \frac{1}{11} x = 11

\boxed{\green{x = 11}}

♤♤•♤♤

1 \div  \frac{1}{5}  = 1 \times  \frac{5}{1}

1 \times 5

\boxed{\green{= 5}}

4 0
2 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
gladu [14]
Answer: true

Explanation:
6 0
3 years ago
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. Wh
umka21 [38]

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

      into...

Silvia: 1 page to __ minutes

<u>Find Unit Rate</u> : 5/2= 2.5

Unit Rate for Silvia is  2.5

<u>Written out</u> : 2 pages x 2.5 = 5 minutes

<u>Example</u> : 1 page to 2.5  minutes

<u>What we found</u> : ___ pages to 60 minutes(60 divided by 2.5) is  

<h2>24 pages to 60 minutes</h2>

Silvia's sister: 3 pages to 6 minutes

     into...

Silvia's sister: 1 pages to ___ minutes

<u>Find Unit Rate</u> : 6/3= 2

Unit Rate for Silvia is  2

<u>Written out</u> : 3 pages x 2 = 6 minutes

<u>Example</u> : 1 page to 2  minute

<u>What we found</u> : ___ pages to 60 minutes(60 divide by 2) is

<h2>30 pages to 60 minutes  </h2>

<u>Final Step</u> : 30 - 24 = 6

7 0
3 years ago
Please answer and explain!!
alexandr1967 [171]

Answer:

Step-by-step explanation:

The two triangles are congruent.

∠L ≅ ∠ B            Given

LN ≅ BZ              Given

∠N ≅∠Z               Given

ΔLNM ≅ ΔBZA     Angle Side Angle congruent

6 0
2 years ago
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