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3 years ago

Solve problem in picture

Mathematics

1 answer:

dsp733 years ago

6 0

Answer:

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Log (w2+21) - log (10)

UNO [17]

Answer:

$w =7\ or\ w =3$

Step-by-step explanation:

Given

The right question is:

$\log(w^2+ 21) = \log(10w)$

Required

Solve for w

$\log(w^2+ 21) = \log(10w)$

Cancel log on both sides

$w^2+ 21 = 10w$

Equate to 0

$w^2 - 10w+ 21 = 0$

Split

$w^2 - 3w - 7w+ 21 = 0$

Factorize

$w(w - 3) - 7(w-3) = 0$

Factor out w - 3

$(w - 7)(w-3) = 0$

Solve for w

$w - 7 = 0\ and\ w - 3 = 0$

$w =7\ or\ w =3$

6 0

3 years ago

One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.

tatuchka [14]

Answer:

Step-by-step explanation:

<h3>To prove quadrilateral is a square:</h3>

a) Slope of CB

C(-3,-1) ; B = (0,3)

$\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}$

$\sf = \dfrac{3-[-1]}{0-[-3]}\\\\ =\dfrac{3+1}{0+3}\\\\ = \dfrac{4}{3}$

$\sf \text{\bf slope of CB = $\dfrac{4}{3}$}$

b) D(1,-4) ; A(4,0)

$Slope \ of \ DA = \dfrac{0-[-4]}{4-1}\\$

$= \dfrac{0+4}{3}\\\$

$\sf \text{\bf Slope of DA = $\dfrac{4}{3}$}$

Slope of CB = slope of DA

c) C(-3,-1) ; D(1 , -4)

$\sf Slope \ of \ CD =\dfrac{-4-[-1]}{1-[-3]}$

$\sf = \dfrac{-4+1}{1+3}\\\\ = \dfrac{-3}{4}\\$

$\sf Slope \ of \ CD * Slope of CB = \dfrac{-3}{4}*\dfrac{4}{3}=-1$

So, CD is perpendicular to CB

d) B(0,3) ; D(1,-4)

$Slope \ of \ BD = \dfrac{-4-3}{1-0}\\\\=\dfrac{-7}{1}\\\\=-7$

e) C(-3,-1) ; A(4,0)

$\sf Slope \ of \ CA = \dfrac{0-[-1]}{4-[-3]}\\$

$=\dfrac{0+1}{4+3}\\\\=\dfrac{1}{7}$

$\text{Slope of CA *Slope of BD = $\dfrac{1}{7}$*(-7)}=-1$

So, CA is perpendicular to BD

$\sf \text{\bf Slope of DA = \dfrac{4}{3}}$

5 0

2 years ago

A map is drawn to scale such that 1 inch=100 miles. To mark a distance of 500 the length on the map much be blank inches?

Alona [7]

Answer:

1inche _ 100

5 in - 500

500in__ 50000

4 0

4 years ago

PLEASE HELP !!

Firlakuza [10]

Answer:

<u>200</u>

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

7 0

3 years ago

A swimsuit has been marked down from an original price of $75 to $56.25. By

Xelga [282]

The answer would be 25%

75 * .25 = 18.75

75 - 18.75 = 56.25

3 0

2 years ago

Solve problem in picture​

Solve problem in picture