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3 years ago

In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is 0.4 -0.4 2 -2 .

Mathematics

1 answer:

mario62 [17]3 years ago

6 0

Therefore, slope of line DC = slope of line AC = -0.4.

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Please help solve for x..

aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

$x^{100}-4^x \cdot x^{98}-x^2+4^x=0$

Factor out -1:

$\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0$

Divide both sides by -1:

$\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0$

Rearrange the terms:

$\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:$

$\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0$

Factor the first two terms and the last two terms separately:

$\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0$

Factor out the common term $(x^{98}-1)$ :

$\implies (4^x-x^2)(x^{98}-1)=0$

Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}$

Therefore, the solutions to the given equation are: x = 1 or x = -1

Learn more here:

brainly.com/question/27751281

brainly.com/question/21186424

3 0

1 year ago

A restaurant owner made a list of the number of meals ordered last night. She found that 42 people ordered chicken Parmesan, 39

jasenka [17]

Answer:

29/110

Step-by-step explanation:

There are a total of 110 orders at the restaurant, so that will serve as the denominator. There are 29 meatballs, so that will be the numerator. Combine the two and you get 29/110. Experimental probability is what happens in the experiment like this question. Theoretical probability is "real math" as in 1/3.

5 0

3 years ago

Graph the inequality. 1

Mrrafil [7]

Answer:

hope it helps

Step-by-step explanation:

6 0

2 years ago

What is the meaning of the unknown factor or quotient

Cloud [144]

The quotient is the answer to a division problem.

3 0

3 years ago

Help please!

Alina [70]

Step-by-step explanation:

Given

f(x) = 8x - 9

Then

For a.

f(3y - 1 ) = 8(3y - 1 ) - 9

= 24y - 8 - 9

= 24y - 17

Now for b.

f(x) = - 23

or, 8x - 9 = - 23

8x = - 23 + 9

8x = - 14

x = - 14 / 8

x = - 7 / 4

Hope it will help :)

7 0

2 years ago