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zvonat [6]
3 years ago
11

(EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point a

nd is parallel to the graph
(-9,-2) y=-4x+1
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

y = -4x - 38

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.

y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\

Apply the distributive property to find the slope intercept form.

y + 2 = -4(x+9)

y + 2 = -4x - 36

y = -4x - 38

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Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

5 0
3 years ago
Read 2 more answers
I have been stuck on this for a while
Semmy [17]

Answer:

Actually the answer would be 120.

4.16×48=200

3/5×200=120.

120 people out of five play.

3 0
3 years ago
If B = { p : p is a factor of 12 } list the elements of this set and find n ( B )​
anastassius [24]

Answer:

B={1,2,3,4,6and12}

n (B) =6

Step-by-step explanation:

<h3>Greetings !</h3>

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Hope it helps!

3 0
2 years ago
Solve for x7(x 2) (x 5)44O -16
babymother [125]
7(x + 2) = 6(x + 5)

7x + 14 = 6x + 30    |subtract 14 from both sides

7x = 6x + 16    |subtract 6x from both sides

x = 16
3 0
3 years ago
An urn contain 2 white marbles, 3 green marbles, and 5 red marbles. A marble is drawn and then replaced. Then a second marble is
11111nata11111 [884]

<u>Answer:</u>

1/5

<u>Step-by-step explanation:</u>

To find this you would need to multiply the probability of pulling a white marble to the probability of pulling out a green marble.

1)First you would need the probability of pulling out a white marble. There are 10 marbles in total and out of those 2 are white. So the probability of pulling out a white marble would be 2/10. If you simplify that you would get 1/5 for the probability of pulling out a white marble.

2)Next, you would find the probability of pulling out a green marble. Using the same process that we used to find the probability of pulling out a white marble, we would find the answer to be 3/10. All that we did here was <em>green marbles/total marbles</em>. By filling that in we got 3/10 for the probability of pulling out a green marble.

3)Now all that is left is doing <em>probability of pulling a white marble × probability of pulling out a green marble</em>. This would be 1/5 × 3/10. After solving the answer would be 3/15 which we would simplify down to 1/5 as our final answer.

5 0
3 years ago
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