Solve the equation using distributive property and properties of equality

Mathematics

1 answer:

netineya [11]2 years ago

8 0

Answer: -5(8+3) = -55

Step-by-step explanation: a = 8

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What is 2+ 9-x divided by 4 = 10

N76 [4]

Here is the work for this equation:

2+9-x/4 =10

11-x/4=10

11-x=40

x=29

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2 years ago

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ella [17]

Answer:

1. The red one

2. 60%

3. 18,57%

Step-by-step explanation:

I use the way to calculate the percentage in question 2 and 3

2. (6:10)x100%

3. (13:7)x100%

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2 years ago

What’s the equation in vertex form?

pshichka [43]

Answer:

$\large\boxed{y=(x+5)^2-64}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64$

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2 years ago

The minute hand of a clock is 8 inches long. To the nearest tenth of an inch, how far does the tip of the minute hand travel as

lesya692 [45]

Answer:

The tip of the minute hand travels 20.9 inches.

Step-by-step explanation:

We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.

<u>So, firstly we will find the circumference of circle;</u>

Circumference of circle (C) = $2\pi r$ {where r is radius of circle}

= $2 \times \pi \times 8$ {given r = 8 inches long}

= $16 \pi$

Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents $\frac{25}{60}$ which is $\frac{5 }{12}$ of the circumference, that means;