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1 year ago

Need help please thank you

Mathematics

1 answer:

svetoff [14.1K]1 year ago

4 0

Answer:

D. x = -7/3

Step-by-step explanation:

A graphical solution is often easier when the problem is written in the form f(x) = 0. That way, the x-intercept(s) of the function f(x) will be the solution.

The desired form can be found by subtracting 16 from both sides of the equation:

$\left(\dfrac{1}{64}\right)^{-x-3}=16\qquad\text{given}\\\\\left(\dfrac{1}{64}\right)^{-x-3}-16=0\quad\Longrightarrow\quad f(x)=\left(\dfrac{1}{64}\right)^{-x-3}-16$

A graph is attached, showing x=-7/3 is the solution.

<h3>Algebraic solution</h3>

Using powers of 4, the equation can be rewritten ...

$\left(\dfrac{1}{4^3}\right)^{-x-3}=4^2\qquad\text{given}\\\\4^{3(x+3)}=4^2\\\\3(x+3)=2\qquad\text{equating exponents, or taking base-4 logs}\\\\x=\dfrac{2}{3}-3=\boxed{-\dfrac{7}{3}}\qquad\text{divide by 3, subtract 3}$

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Need some help working these out

s2008m [1.1K]

Answers:

Problem 1) 40 degrees
Problem 2) 84 degrees
Problem 3) 110 degrees

===============================================

Explanation:

For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.

For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.

Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.

-------------------

For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.

This all means that angle DEF is a right angle and 90 degrees.

So,

(angle DEP) + (angle PEF) = angle DEF

(angle DEP) + (35) = 90

angle DEP = 90 - 35

angle DEP = 55

The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.

3 0

2 years ago

I really need help<br> Solve for x

MakcuM [25]

$\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}$

1. Both are corresponding angles, hence they both are equal, so,

$44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2$

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

$10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7$

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

$x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10$

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

$12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6$

Ans. A) 6

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6 0

2 years ago

Plz help me I you can♡︎

masya89 [10]

Answer:

Step-by-step explanation:

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2 years ago

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When would you use herons formula in the real world?

Natalka [10]

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3 years ago

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Nastasia [14]

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Step-by-step explanation:

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