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3 years ago

Which of these are arithmetic sequences?

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

Answer:

Step-by-step explanation:

The first and last sequence have a common difference in them. The first having d = 4 and the second having d = 7.

The second and third have a common ratio instead and are geometric sequences. The second has r = 2, and the third having r = (-3)

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If AD is the altitude to BC, what is the slope of AD?

anygoal [31]

Answer:

Option (C)

Step-by-step explanation:

If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.

By the property of perpendicular lines,

$m_1\times m_2=-1$

where $m_1$ is the slope of the line AD and $m_2$ is the slope of BC.

$m_2=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{8+2}{3-7}$

$=-\frac{5}{2}$

Now from the given property,

$m_1\times (-\frac{2}{5})=-1$

$m_1=\frac{5}{2}$

Therefore, slope of altitude BC = $\frac{5}{2}$

Option (C) will be the answer.

3 0

3 years ago

After a storm damages the community center, Shanika and her friends hold fundraising

Inessa [10]

Answer:

The total amount of money Shanika and her friends want to raise is $2400.

Step-by-step explanation:

Given:

After a storm damages the community center, Shanika and her friends hold fundraising.

After the first event, they raise $240, which is 10% of the total amount that they want to raise.

Now, to find the total amount of money that Shanika and her friends want to raise.

Let the total amount of money that Shanika and her friends want to raise be $x$ .

As given 10% of fundraise is $240.

So, according to question:

$10\%\ of\ x=\$240.$

$\frac{10}{100}\times x=240$

$\frac{10x}{100}=240.$

Multiplying both sides by 100 we get:

$10x=24000.$

Dividing both sides by 10 we get:

$x=\$2400.$

Therefore, the total amount of money Shanika and her friends want to raise is $2400.

3 0

2 years ago

What is the answer for this Problem?

geniusboy [140]

Answer:

Increasing on the interval(s) $-2\leq x\leq -4$

Decreasing on the interval(s) $-1\leq y\leq 1$

Step-by-step explanation:

Anytime the graph is going upward, the function is increasing. However, anytime the graph goes down, the function is decreasing. Look at the image below for further reference. Also, when the function is increasing, the slope is positive, and when the function is decreasing the slope is negative.

The increasing interval of the graph is -3

The decreasing interval of the graph is 0.5

Since the values are in the middle of the interval, it automatically becomes the answer.

5 0

2 years ago

Simplify expression -(20 +d)

Verizon [17]

Answer:

-d-20

Step-by-step explanation:

Hope this helps!

5 0

2 years ago

Help please!10 points

laila [671]

Answer:

The equation of the line is $y = 3x + 3$

Step-by-step explanation:

Looks like you've already found the y-intercept and slope of this graph. Great! That's all the info we need to create an equation.

The equation of a line is always in $y = kx+b$ form, where k is the constant of proportionality (aka the slope) and b is the constant added (aka the y-intercept).

We know the slope is 3 and the y-intercept is 3, so we can put these values into the equation.

$y = 3x+3$

Hope this helped!

3 0

3 years ago

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