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Sunny_sXe [5.5K]
3 years ago
12

Write an equation of the line that passes through the given point and has the given slope.

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

y = 1/2x + 1

Step-by-step explanation:

m = 1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 4)

y - 3 = 1/2x - 2

y = 1/2x + 1

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What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4
bija089 [108]

Answer:

(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)

Step by step explanation:

y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2

\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}

3 0
2 years ago
What is the underlined sentence mean can someone explain
suter [353]

Step-by-step explanation:

1235

Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.

So 2 is in tens.

Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.

HOPE ITS HELPFUL

8 0
3 years ago
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What is the domain of the function f (x) x-5/x^2-9
nikklg [1K]
Means the number you can use
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x^2-9=0
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domain=all real numbers except -3 and 3

7 0
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the reptile house at the zoo has 245 reptiles.each habitats hold s 5 reptiles how many habitats are there
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URGERNT HELP PLEASE!!?
timofeeve [1]

    Four order pairs are ( 2, 5 ), ( 4, 8 ), ( 6, 11 ), ( 0, 2). All those I cited are whole numbers so that should help plot them, and from there get a ruler or straight edge and align all the dots to create the line for the equation. The equation you gave was the standard form which was created out of the formula to find a equation it's y = mx + b, there could be small variations made. How I know it's proportional is because all linear equations are. But if that's not enough I also know since there's a ratio or pattern that it follows and doesn't stray from. In more depth, porportional relationship is a ratio between y and x which is the same thing everytime shown if simplified.  

7 0
3 years ago
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