4x^2-28x+49=5 solve the quadratic by completing the square

Answers

Answer 1

Answer: $4x^2-28x+49=5 \n \n4x^2-28x+49-5=0\n \n4x^2-28x+44=0\n \n \Delta = b^(2)-4ac =(-28)^(2)-4*4*44=784 - 704 = 80 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(28- √(80))/(2*4)=(-28-√(16*5))/(8)= (-28-4√( 5))/(8)=\n \n=(\not4^1(-7- √( 5)))/(\not8^2)=( -7- √( 5) )/(2)=$

$x_(2)=(-b+√(\Delta ))/(2a) =(28+√(80))/(2*4)=(-28+√(16*5))/(8)= (-28+4√( 5))/(8)=\n \n=(\not4^1(-7+ √( 5)))/(\not8^2)=( -7+ √( 5) )/(2) \n \nAnswer : x=( -7- √( 5) )/(2) \ \ or \ \ x =( -7+ √( 5) )/(2)$

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Help please odds only geometry

Answers

1)
log 98 = log( 7 * 14 ) = log 7+ log 14= h + j ;

2)
log 175 = log ( 5^2 * 7 ) = log 5 ^ 2 + log 7 = 2 * log 5 + log 7 = 2i + h ;

3)
log 2 = log ( 14 / 7 ) = log 14 - log 7 = j - h ;

4)
log 245 = log ( 7^2 * 5 ) = log 7 ^2 + log 5 = 2 * log 7 + log 5 = 2h + i ;

$\log98=\log(7\cdot14)=\log 7+\log14=h+j\n\n\log175=\log(5^2\cdot7)=\log5^2+\log7=2\log5+h=2i+h\n\n\log2=\log(14)/(7)=\log14-\log7=j-h\n\n\log245=\log(5\cdot7^2)=\log5+\log7^2=i+2\log7=i+2h$

16/8 into a mixed number

Answers

ok well the answer will be 2 because 8+8=16 and 8 can go into 16 2 times.

the answer is
2/1
because 8 times 2 is 16 and if you divide 16 by 8 u will get 2 and 8 divided by 8 is 1

Write log8 3 as a logarithm of base 5.1) (log3)5/(log8)5
2) (log5)3/(log5)8
3) (log8)5/(log3)5
4) (log5)8/(log5)3 ...?

Answers

The answer is 2) (log5)3/(log5)8

We will use the change-of-base formula: $log_a(x)= (log_b(x))/(log_b(a))$

So, if we want to write log8 3 as a logarithm of base 5, in these example a = 8, x = 3, b = 5:
$log_8(3)= (log_5(3))/(log_5(8))$

What is the answer to this?

Answers

I got / 33/4. If I’m wrong sorry

If E is on the interior of ∠ABD, m∠ABE = (2x - 5)°, m∠EBD = (x + 1)°, and m∠ABD = 50°, find the value of x.

Answers

$\displaystyle \n m\ \textless \ ABE + m\ \textless \ EBD = m\ \textless \ ABD \n \n (2x - 5)^o + (x + 1)^o = 50^o \n \n 2x-5+x+1=50 \n \n 3x - 4 = 50 \n \n 3x = 50+4 \n \n 3x = 54 \n \n x = (54)/(3) = \boxed{18^o}$

1.What is the simplified form of each expression?7x^–8 × 6x^3

a. 42/x^5
b. 1/42x^5
c. 42x^11
d. 13x^–5

(–2x8) · 3y9 · 2x4

a. 3x^12y^9
b. –12x^72y^9
c. –12xy^21
d. –12x^y^9

2. Find the simplified form of the expression. Give your answer in scientific notation.

(8 x 10^7) (7 x 10^4)

a. 1.5 × 10^12
b. 5.6 × 10^12
c. 1.5 x 10^29
d. 5.6 x 10^29

(7 × 10^–4)(9 × 10^–10)

a. 6.3 × 10^–13
b. 63 × 10^–13
c. 6.3 × 10^–15
d. 6.3 × 10^–16