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3 years ago

Devonte used the change of base formula to approximate log4(x+2)?

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

The formula is logb x = logd x / logd b

so log4 (x + 2) = log (x+2) / log 4

ITs A

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Given the following diagram, if?

Misha Larkins [42]

Answer:

30°

Step-by-step explanation:

BF is a straight line, so therefore it is equal to 180°

Because of this we know that COF is 150°, so therefor, to find BOC, we must subtract:

180° - 150° = 30°

5 0

3 years ago

Angle PQR and angle TQV are vertical angles. The measures of the two angles have a sum of 100o. Write and solve an equation to f

densk [106]

Answer:

I'm not certain what the sum is, so I will teach you how to solve.

Step-by-step explanation:

As the question states, angle PQR and TQV are vertical angles, so they have to be the same measure. Just divide the sum by 2 and you get the answer.

If there were more context, I would totally edit my answer!

Good Luck!!!

4 0

3 years ago

Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Evgen [1.6K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

Step-by-step explanation:

Given the equation

$x^2\:-3x\:-\:5\:=\:0$

solving with the quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}$

separating the solutions

$x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}$

solving

$x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3+\sqrt{29}}{2\cdot \:1}$

$=\frac{3+\sqrt{29}}{2}$

also solving

$\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3-\sqrt{29}}{2\cdot \:1}$

$=\frac{3-\sqrt{29}}{2}$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

7 0

3 years ago

What is the LCD of 1/3 and 3/4 ?

RideAnS [48]

D. 12
Pretty much the smallest number both denominators can go in.
So the multiples of
4: 4,8,12
3:3,6,9,12

6 0

3 years ago

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type

Yuri [45]

Answer:

Step-by-step explanation:

(1+3)/(2+1) = 4/3

y - 1 = 4/3(x - 2)

y - 1 = 4/3x - 8/3

y - 3/3 = 4/3x - 8/3

y = 4/3x - 5/3

3(y = 4/3x - 5/3)

3y = 4x - 5

-4x + 3y = -5

4x - 3y = 5

6 0

3 years ago