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3 years ago

Write an equation in point-slope form of the line that passes through (4,1),(-2,7)

Mathematics

1 answer:

pentagon [3]3 years ago

8 0

Answer:

(y - 1) = -1 (x - 4)

Step-by-step explanation:

Step 1: Find the m (slope) using slope formula

(y2 - y1)/(x2 - x1) aka (7 - 1)/(-2 - 4) = 6/-6 thus, m (slope) is -1

Step 2: Use point of your choice (I used [4,1]) and plug the slope and point into equation. Note: equation is (y - y1) = m (x - x1)

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The rectangle below has an area of x^2+8x+15x

Darina [25.2K]

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of $x^2+8x+15$ square meter and a width of $x+3$ meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

$\text{Area}=\text{Length}\times \text{Breadth}$

$\text{Area}=x^2+8x+15$

$\text{Breadth}=x+3$

$x^2+8x+15=\text{Length}\times(x+3)$

$\text{Length}=\frac{x^2+8x+15}{x+3}$

$\text{Length}=\frac{(x+5)(x+3)}{x+3}$

$\text{Length}=x+5$

Therefore, the length of the rectangle is x+5.

7 0

3 years ago

Slope is -1/2 and (-9,5) is on the line<br> the equation of the line is y= ?

Lesechka [4]

Y=-1/2x+5 because the y intercept of the two points is 5

8 0

3 years ago

Find the area of the figure.

givi [52]

these are just two semi-circles, one with a diameter of 22 and the other with a diameter of 30 - 22, or 8, and therefore their radius are 11 and 4 respectively.

$\bf \textit{area of a semi-circle}\\\\ A=\cfrac{\pi r^2}{2}~~,~~ \stackrel{r=11}{A=\cfrac{\pi 11^2}{2}}\implies A=\cfrac{121\pi }{2}~~,~~ \stackrel{r=4}{A=\cfrac{\pi 4^2}{2}}\implies A=8\pi \\\\ -------------------------------\\\\ \stackrel{\textit{total area of the figure}}{\cfrac{121\pi }{2}+8\pi }\implies \cfrac{121\pi +16\pi }{2}\implies \cfrac{137\pi }{2}$

4 0

3 years ago

Which is the real world situation that can be described by a linear inequality

garik1379 [7]

Answer:

Pretty sure it's B

Step-by-step explanation:

Everything else would be more like an equation. I think B is the only inequality.

7 0

3 years ago

Help me pls<br> this is very important

inysia [295]

Answer:

C/3rd one. (y=2x+4)

Step-by-step explanation:

In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.

7 0

3 years ago