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sdas [7]
2 years ago
9

Which equation in slope intercept represents the line that goes through the points (-1, -5) and (1, -1)

Mathematics
1 answer:
Svetllana [295]2 years ago
8 0

Answer:

Step-by-step explanation:

First of all, I drawed this graph and uploaded it for you...

We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).

Let's put these points in the algebreac expression of line to find the correct equation:

-5 = a. (-1) + b

-1 = a.(1) + b

solving this system of equation by elimination, we find 2b = -6 and b = -3.

Then, -5 = -a + (-3)

-a = -5 + 3

a = 2

Finally, our line equation is y = 2x - 3

The slope also is represented by a. So, the slope is 2.

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How do I do #38? And do I have 35,36,37 correct? Because I rounded to the nearest 10th.
maria [59]

Since perimeter means all around it just means adding all the sides. Because you are given length and width your equation would then be, " (5)+(5)+(2x=14)+(2x+14). Now since area means length times width you would multiply length times width. Since x=7 you would multiply 7x5 and the area equals 35. Questions 35-37 are indeed correct. You're smart ! By the way I'm twelve so hopefully you found this helpful.

6 0
3 years ago
5х – 2 = 3х + 4 sove equation for x​
Kazeer [188]

Answer:

x=3

Step-by-step explanation:

5х - 2 = 3х + 4

5х - 3х = 4 + 2

2х = 6

х = 6/2

х = 3

Hope this helps!

8 0
2 years ago
Read 2 more answers
A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let \thetais the angle between them thus

Area of triangle when two sides and angle between them is given

A=\frac{ab\sin C}{2}

A=\frac{5\times 7\times \sin \theta }{2}

Differentiate w.r.t time

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

4 0
3 years ago
Point P is located at (−2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located two thirds the
Sladkaya [172]
7 + (0-7) * 2/3 = 7 - 14/3 = (21 - 14) / 3 = 7/3 = 2.3
5 0
2 years ago
To complete this component you will need to insert parentheses in Expression 2 to change the order of operations so the expressi
Alika [10]

Given:

The expression is 5+4\times 2+6-2\times 2-1.

To find:

The position of parentheses inserted in the expression to get the value 19

Step-by-step explanation:

We have,

5+4\times 2+6-2\times 2-1

Now,

(5+4)\times 2+6-2\times 2-1=9\times 2+6-4-1

(5+4)\times 2+6-2\times 2-1=18+6-5

(5+4)\times 2+6-2\times 2-1=18+1

(5+4)\times 2+6-2\times 2-1=19

There are more ways to apply the parenthesis, but we do not get 19.

5+4*\left(2+6\right)-2*2-1=32\neq 19

5+4*2+\left(6-2\right)*2-1=20\neq 19

5+4*2+6-2*\left(2-1\right)=17\neq 19

And many more possibilities.

Therefore, the expression after inserting the parentheses is (5+4)\times 2+6-2\times 2-1.

6 0
2 years ago
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