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3 years ago

Equation of a line with slope 1/5 through the point (-5, -4)

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

9514 1404 393

Answer:

y +4 = (1/5)(x +5)

Step-by-step explanation:

The point-slope form of the equation of a line is useful when you have a given point and slope.

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Filling in the given values, this is ...

y +4 = 1/5(x +5)

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3 years ago

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Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?

zysi [14]

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

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3 years ago

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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:

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

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

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2 years ago

A senior class at Smith High School has 84 students.

sattari [20]

Answer: 44 boys and 40 girls

Step-by-step explanation:

x = number of girls

x + 4 = number of boys

x + x + 4 = 84

2x + 4 = 84

2x = 80

x = 40

84 - 40 = 44

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3 years ago

I need help solving -13<4x+7

arsen [322]

Answer:

the answer is -5< x

Step-by-step explanation:

you you start by subtracting 7 by both sides leaving you with -20<4x. then then divide both sides by 4 leaving you with -5< x

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3 years ago