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makvit [3.9K]
3 years ago
5

What is an equation of the line, in point-slope form, that passes through the given point and has the given slope? point: (8,-8)

slope: 3
Mathematics
1 answer:
creativ13 [48]3 years ago
3 0
Point slope is y-y1= m(x-x1) where m is slope

Plug the values in:
y-(-8)=3(x-8)

Simplify:
y+8=3(x-8)
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How many solution does this equation have
eimsori [14]
The equation has 1 solution
4 0
3 years ago
Read 2 more answers
Find the 75th term of the following arithmetic sequence.<br> 6, 11, 16, 21,
katrin [286]

Answer:

The 75th term in the sequence is 16

Step-by-step explanation:

The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value

In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.

To find the 75th term:

Multiply the number of terms by 0.75 (or 75%/100%) :

             0.75*4 terms= 3

Then, we find the value of the term that is at position 3 from the left (lowest number)

In this case, the term that is at the 3rd position from the left is 16

Thus, the 75th term in the sequence is 16

8 0
3 years ago
A rectangular sandbox has a width of 5 feet.The sandbox is 5 times as long as it is wide. What is the perimeter of the sandbox?
AveGali [126]
Wide is 5 x 5 = 25 feet;
P = 2 x width + 2 x wide = 10 + 50 = 60 feet;
8 0
3 years ago
What is the slope Of the line that passes through the points in the picture?
GuDViN [60]

Answer:

5/3

Step-by-step explanation:

To find the slope we pick one set of points

2/3,-1/2

Set your equation up like this

y2-y1/x2-x1

Plug in and subtract(notice the negative)

And we get 5/3

Hope this helps

3 0
3 years ago
Simplify (x − 4)(2x2 + 3x − 5).
xeze [42]

The simplified form of given expression is 2x^3-5x^2-17x+20

<em><u>Solution:</u></em>

Given that we have to simplify the expression

<em><u>Given expression is:</u></em>

(x-4)(2x^2+3x-5)

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket

\rightarrow (x-4)(2x^2+3x-5)

\rightarrow (x)(2x^2)+(x)(3x)+(x)(-5)-4(2x^2)-4(3x)-4(-5)

Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

\rightarrow 2x^3+3x^2-5x-8x^2-12x+20

Combine the like terms

\rightarrow 2x^3+3x^2-8x^2-5x-12x+20

\rightarrow 2x^3-5x^2-17x+20

Thus the expression is simplified

5 0
3 years ago
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