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aliina [53]
3 years ago
14

*Need help asap* 25 points

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

y = x + 1

See below.

Step-by-step explanation:

To find the slope intercept form of a line, calculate the slope first.

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-2}{3-1}=\frac{2}{2} = 1

So the slope is 1. Substitute m = 1 and (1,2) into the point slope form. Then simplify to slope intercept form.

y - 2 = 1 (x - 1)

y - 2 = x - 1

y = x + 1

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How many solutions does an equation of the form x^2- k^2= 0 have?
N76 [4]
1. Use Difference of squares: a^2-b^2=(a+b)(a-b)
(x+k)(x-k)=0

2. Solve for x and k
x=+-k
k=+-x
8 0
3 years ago
Una piscina rectangular de 15 metros de largo por 9 metros de ancho està rodeada por un
stira [4]

Answer: 2 meters.

Step-by-step explanation:

Let w = width of the cement path.

Dimensions of pool : Length = 15 meters , width = 9 meters

Area of pool = length x width = 15 x 9 = 135 square meters

Along width cement path, the length of region = 2w+15

width = 2w+9

Area of road with pool =  (2w+15) (2w+9)

= 4w^2+30w+18w+135\\\\=4w^2+48w+135

Area of road = (Area of road with pool ) -(area of pool)

\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\  w=-14\ or \ w=2

width cannot be negative, so w=2 meters

Hence, the width of the road = 2 meters.

8 0
3 years ago
Which of the following is correct equation for the trend line in the scatter plot? A. Y= 2/5 x -2 B. Y= 5x-1 C. Y= 5x +5 D. Y= -
Dafna11 [192]

Answer: C. Y = 5x + 5

Step-by-step explanation:

    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. <em>See attached for a visual</em>.

    First, we will find our slope. We will use \frac{rise}{run} for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

     -> Slope = 5

   Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

     -> Y-intercept = 5

   Lastly, we will write our equation and decide on an answer.

y = <em>m</em>x + <em>b</em>

y = (5)x + (5)

Y = 5x + 5

             C. Y = 5x + 5

4 0
1 year ago
I'm having a problem finding the points
Ivenika [448]
The points are (-3,3) and (2,2) then you use distance formula to find the distance between them
4 0
2 years ago
Read 2 more answers
Can someone help me with this!!!!
Anvisha [2.4K]
Diagonal of the rectangular prism=√(l²+w²+h²)
√(l²+w²+h²)=√(100+25+64)=√189 cm
5 0
3 years ago
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