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natta225 [31]
3 years ago
14

What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3

Mathematics
1 answer:
PtichkaEL [24]3 years ago
7 0

Answer:

C.

Step-by-step explanation:

First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.

Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:

y = 2x + -3. or y = 2x - 3.

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The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
Viktor [21]
Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²

the answer is
26558.21 ft²
6 0
3 years ago
CHALLENGE Sage wants to buy board games for some of her friends. Board games
lukranit [14]

Answer:

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Step-by-step explanation:

6 plus 7 equals 13

9 plus 9 equals18

18 subtract 6 equals 13

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4 0
3 years ago
Which inequality represents that - 14 more
babunello [35]

Answer:

A) -14 + 2n > 18

Step-by-step explanation:

inequality represents that - 14 more than twice a number is no less than 18.

<h3>Hope it is helpful...</h3>
7 0
3 years ago
This is a practice test but I don’t understand stand this one pls help fast
Kisachek [45]

Step-by-step explanation:

To transform a function vertically, add 3 to the constant.

5 + 3 = 8

So the function is

3 {x}^{2}  + 8

Graph the function in desmos to show the translation vertically if you want proof

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Cloud [144]

Answer:160 B.

Step-by-step explanation: first you seperate the two rectangles. then find volume of both by multipling lenngh times with times height then add both of your volumes.

8 0
3 years ago
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