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erastova [34]
2 years ago
13

Write an equation of the line with slope -5 that goes through the point (4, -7).

Mathematics
1 answer:
Sever21 [200]2 years ago
4 0

(\stackrel{x_1}{4}~,~\stackrel{y_1}{-7})\hspace{10em} \stackrel{slope}{m} ~=~ -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-5}(x-\stackrel{x_1}{4}) \\\\\\ y+7=-5x+20\implies y=-5x+13

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Y = 2(x+2)^2 - 18Find the x intercepts
murzikaleks [220]

Answer

x=-5

and

x=1

Explanation

The equation y = 2(x+2)^2 - 18 corresponds to a translation 2 units left and 18 units down, and a and a shrinkage about the x-axis with factor 2.

Making these transformations to y=x^2, we have:

y=2(x+2)^2-18y=2(x{}^2+4x+4)-18y=2x^2+8x+8-18y=2x^2+8x-10

Factoring:

y=2(x^2+4x-5)y=2(x+5)(x-1)

The x-intercept are found when y=0, that is:

\begin{gathered} x+5=0 \\ x=-5 \end{gathered}

and

\begin{gathered} x-1=0 \\ x=1 \end{gathered}

6 0
1 year ago
Write the fraction 6/6 as a sum of fractions 3 different ways
swat32
12/12, 4/4, and 2/2 there's three other ways you could do 6/6
8 0
4 years ago
The surface area of the box of cereal displayed below is 2x^2+48x+88.What is the value of x if the box of cereal has an area of
pashok25 [27]
<h2>Value of x is 2 </h2>

Step-by-step explanation:

Surface area is given by 2x²+48x+88

We need to find x when surface area is 192.

                          A = 2x²+48x+88

                         2x²+48x+88 = 192

                         2x²+48x- 104 = 0

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Value of x is 2

8 0
4 years ago
What is 2,606 + 7,025?
cestrela7 [59]

Answer:

2606 + 7025 = 9631

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5 0
3 years ago
Read 2 more answers
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liraira [26]

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-TTL

8 0
3 years ago
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