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MatroZZZ [7]
3 years ago
6

Can someone please help me ?

Mathematics
1 answer:
Marina86 [1]3 years ago
8 0
Common difference is -2.5

answer is an = 15.5 - 2.5n


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Passing through (2, - 2) and perpendicular to the line whose equation is y= 5x+2
jonny [76]

Step-by-step explanation:

Hey there!!!

Here,

Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.

The equation of a straight line passing through point is,

(y - y1) = m1(x - x1)

Now, put all values.

(y  + 2) = m1(x - 2)

It is the 1st equation.

Another equation is;

y = 5x +2........(2nd equation).

Now, Comparing it with y = mx + c, we get;

m2=5

As per the condition of perpendicular lines,

m1×m2= -1

m1 × 5 = -1

Therefore, m2= -1/5.

Keeping the value of m1 in 1st equation.

(y + 2) =  \frac{ - 1}{5} (x - 2)

Simplify them.

5(y + 2) =  - x + 2

5y + 10 =  - x + 2

x + 5y + 8 = 0

Therefore the required equation is x+5y+8= 0.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}? please help
neonofarm [45]
Since this is a linear function, filling in the minimum and maximum of the domain is sufficient.

f(-4) = -16 + 9 = -7
f(2)= 8 + 9 = 17

So the range of the function (given the domain) :
R = {-7, 17}
8 0
3 years ago
Find the surface area of the prism HURRY HURRY
Assoli18 [71]

Answer:

should be 192

Step-by-step explanation:

4 0
2 years ago
Given H(6,7) and I (-7,-6) if point G lies 1/2 of the way long line segment HI, Santiago argues that point G is located at the o
amid [387]
A point that is half way of line segment is the midpoint

Let (6, 7) be (x₁, y₁) and (-7, -6) be (x₂, y₂)

Mid point of HI = (\frac{x_1+x_2}{2},  \frac{y_1+y_2}{2})
Mid point of HI = (\frac{6+-7}{2},  \frac{7+-6}{0})
Mid point of HI = (- \frac{1}{2} ,  \frac{1}{2})

Santiago's statement is not correct
4 0
3 years ago
HURRY PLS! <br><br> Evaluate if a= 4 and b=7<br> 28÷ b+7<br><br> A. 14<br> B. 11
Nastasia [14]

Step-by-step explanation:

Hi, I think correct variant is B

(28÷7)+7=4+7=11

8 0
2 years ago
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